diff --git "a/data/dm_maths/full_data_2/1631_11255.jsonl" "b/data/dm_maths/full_data_2/1631_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1631_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l = 13 - 22. Let a(n) = n**3 + 9*n**2 + n + 9. Let i be a(l). Put 1, -4, i in descending order.\nAnswer: 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzp when four letters picked without replacement from zqpppqzz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 4*j - 17*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 94265164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*((-3 + 0 + 7)*(-1 - 1 + 0) + 1 + 0 - 2)*(3*l**3 - 4*l**3 - 2*l**3)*(-1 + 1 + l).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.78 + -44.78. Is p bigger than -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2*u + 22 = 6*l, 5*l - 2*u - 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.2 - -6. Let d = n - -8. Let o = 1.6 - d. Sort 5, 2\/9, o in descending order.\nAnswer: 5, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 70*z + 1329. Give x(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.246 + 36.246. Sort -1\/2, i, 2, 1\/4 in decreasing order.\nAnswer: i, 2, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*g)*(2 - 1 - 4)*(0 - 5 + 7)*(-g**2 + g**2 + 4*g**3 + (-2*g**2 + 2 - 2)*(-2*g + 3 - 3) - 3*g**3 + 3*g**3 + 2*g**3).\nAnswer: -180*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34161767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 11*q**2\/2 + 9*q + 4.\nAnswer: -(q - 4)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1493 - 756. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.031661 and 16.\nAnswer: 15.968339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r + 45209. Let b(d) = d + 247. Determine l(b(i)).\nAnswer: -5*i + 43974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -813*y - 1136. What is the tens digit of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 - 60307\/241815. Let h be (46\/(-7889))\/(5\/(-1 - 0)). Let x = n + h. Is 0 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 5 (c) 51 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-35*96\/1200)\/(4\/20*-1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-5 + 718\/142)\/(-2)). Suppose 5*l = 647 + 393. Let r = l + a. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i. Let f(p) = 8*p. Let s(w) = 2*w. Let r(v) = -2*f(v) + 9*s(v). What is q(r(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - i**2 + 12. Let f(v) = 4*v**3 - v**2 + 11. Let s(k) = -k**3 + 5*k**2 - 15*k + 69. Let x be s(5). Determine x*f(b) + 5*u(b).\nAnswer: b**3 + b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -13 - 18) + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 11*(-1)\/1. Find the common denominator of ((-81)\/(-24) - 3)*-50 and -81*(2 + s\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*q - 1274*q + 258*q.\nAnswer: -1421*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22518624 divided by 6096.\nAnswer: 3694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(245) - (sqrt(245) - (2 + sqrt(245))))*2)**2*3*2.\nAnswer: 2688*sqrt(5) + 23904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -77, -73, -69?\n\"Answer: 4*k - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 4 + 7*j + 17*j - 3*j. What is the tens digit of h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 3, f: 3, g: 4, s: 2, y: 2}. Give prob of picking 1 g and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -217*u + 4989. What is h(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Solve u*a = -6 + 31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -48 (b) 0.5 (c) -10\/3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 16. Suppose -5*h - 4*u = -40, -3*h - 2*h = -2*u - d. Solve -x = -3*t - 4 + 5, 0 = -h*x + 4*t - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 142.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57019650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8388 + 0 - (2 - (-8 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 0*w**2 + w**2)*(0 + 0 + 3*w + 0*w + 3*w - 2*w + (6 - 1 - 3)*(-w - 2 + 2) - w - 3 + 3).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399\/(11157237\/(-1195))*(-12)\/(-10)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111159069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/19488 and -71\/154.\nAnswer: 214368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c + 6. Suppose -72*w - 171 = 99*w. Give j(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3122712 is divided by 1669?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1811 = -2*u + o, 315*o = -5*u + 316*o + 4526. Calculate the smallest common multiple of 50 and u.\nAnswer: 9050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (-1 + 2*sqrt(704) + sqrt(704))) + -5 + -1 + 3 + sqrt(11) + -3 + 4.\nAnswer: -15*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppprsrrrdd. Give prob of sequence drrd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - -8. Let z = y - 54. Calculate the greatest common divisor of 50 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2461 - -1285. Let k be 6\/(-30) - p\/(-18734). Let r = 5948093\/1124040 + k. What is the common denominator of -48\/11 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 471738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11299744 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeggeg. What is prob of sequence egee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**3 - 6*i**2 + 3*i. Let j(g) = 33*g**3 + 25*g**2 - 13*g. Calculate -9*b(u) - 2*j(u).\nAnswer: 6*u**3 + 4*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 0*q**3 + 0*q**3 + q**3 + 16*q**2.\nAnswer: -2*q**3 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 67*j + 64*j + 26, 4*j = -8. Sort p, -190, 3.\nAnswer: -190, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/27)\/(4\/(-6)). Let s = 5.53 + -1.53. What is the nearest to u in -1, s, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(931)*3 - ((1 + sqrt(931))*-1)**2) + 1)*2.\nAnswer: -1861 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxc when three letters picked without replacement from scsnsxrs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2 + (-5 + 4 + 6)*(1 - 6 + 3) + 2 - 4 + 0)*((-4 + 3 + 2)*(-4*p + p + 2*p) - 2*p + 4*p - 5*p + (-1 - 2 + 1)*(5 + p - 5)).\nAnswer: 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 4*l + 8*l. Let v(a) = -a - 1. Let q(b) = 20*b + 25. Let d(m) = q(m) + 25*v(m). Determine d(g(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 30*u**2 + 119*u - 1. Let k be p(-4). Which is the nearest to 3? (a) k (b) -0.08 (c) 0 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*n**2 + 0 + 24\/11*n = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 10\/7*a**3 + 4\/7*a**2 + 2\/7*a**5 + 8\/7*a**4 + 0.\nAnswer: 2*a**2*(a + 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than or equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163 + 23?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(171) + -5*sqrt(171)*-2 - sqrt(171)*1*-5)\/(-5*(sqrt(9) - ((sqrt(81) - (sqrt(81) + sqrt(81) + 1*sqrt(81))) + sqrt(81) + sqrt(81)))) + 3.\nAnswer: -16*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1720 and 38050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1187*r**5 - 507*r**3 + 884061*r**2.\nAnswer: 71220*r**2 - 3042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5*3)\/((-12)\/(-8)). Suppose 6*u - 56 = n*u. Is 4 a factor of (3 - 7)\/2 - u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**4*x + 55479*f**4 + 478*f*x - 21*f + 20*x wrt f.\nAnswer: -72*f**2*x + 665748*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = x, 0 = 3*n + 5*x - 1. Calculate the remainder when 21 is divided by (-2)\/n + (-62)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3094 and 4046.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97280 and 2707120?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 153, 251, 363, 489, 629, 783?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/8*8\/(-50)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972648.5ug to grams.\nAnswer: 0.9726485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)*r**(-1\/11)*r assuming r is positive.\nAnswer: r**(112\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**3 - 6176457*d**2 - d - 245713017.\nAnswer: -9*d**2 - 12352914*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -19. Let f be ((-44)\/(-55))\/((-2)\/u). Solve -3*y - 19 = 4*g - 8*y, -g = -f*y + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-806))\/((-2)\/8)*15\/15?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 63, 142, 253, 396?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) -0.2 (c) 4 (d) -5 (e) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 214*i - 55. Let g(q) = -71*q + 19. Calculate -11*g(s) - 4*w(s).\nAnswer: -75*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.27 or 2\/58213?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179193176?\nAnswer: 2, 22399147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 29\/2, 2, 1\/53, -4, 1, -3\/2?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.05, 0.03, 2?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(300)*6)**2 + 5.\nAnswer: 270003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/266 and -41\/110808.\nAnswer: 775656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 11 + 33)*(2*z + 4*z - 4*z).\nAnswer: 222*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86689.34 millilitres to litres.\nAnswer: 86.68934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o + 2*o - 2)*(-o**3 - 7*o**3 - 12*o**3).\nAnswer: -60*o**4 + 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 423 and -381373158.\nAnswer: -381372735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1.74?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 203*x - 214*x + 198. What is the remainder when 213 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-1108)\/12. Let o = z - 49. Calculate the remainder when o is divided by (6\/8)\/((-2)\/(-8))*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-2\/7)*n)*n)**34*n**0\/(n\/(n*n*n*n\/n**(-6)))*((n**3*n)\/(n*n**3))**20 assuming n is positive.\nAnswer: n**(607\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -539\/610 - -60\/61. Suppose 0 = t - 2*t. Is h equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -14 in decreasing order.\nAnswer: 2, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/3 + 0\/1. Let l(b) = -b + 4. Let u be l(3). Solve 4*x = j + u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*j + 74 = 0, 7*w - 34 = 5*w + 4*j. Let a be 7\/w - (-7)\/(-3). What is the remainder when a - ((-10)\/5 - 35) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10112, 3, 4, -2 in ascending order.\nAnswer: -7, -2, 3, 4, 10112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Suppose 3 = t - 0. Solve r + t*r + x = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -115, -321, -705, -1327?\n\"Answer: -10*l**3 + l**2 - 21*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 28 - 5 - 23.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 377003?\nAnswer: 377000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15*k**5 + 45*k**4 + 12*k - 12. Let y(a) = 6*a**5 - 18*a**4 - 5*a + 5. Let d(w) = -12*y(w) - 5*z(w). What is m in d(m) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y - 4 + 127*y + 1 + 5.\nAnswer: 95*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.607008 rounded to 2 decimal places?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 8:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1487\nAnswer: -4461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -2, 25, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -19*u**9\/14 - 8*u**5\/5 - 48*u**2 + 2. What is the third derivative of r(h) wrt h?\nAnswer: -82080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/2 of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:26 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -54. Calculate the greatest common factor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:57 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 21*q + 12. Let w be s(13). Let p = w - 57. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -1\/2, -230?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b - 3*w - 1 = 0, 0 = -4*w + 4. Let t = 7 + b. Solve t = l + 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s - 2*s - 3*s + 3 - 3 + (1 + 0 - 2)*(3*s - 6*s + 5*s) + (-7 + 3 + 2)*(-5*s - 5*s + 4*s) + 2*s - s + s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-72)*8796\/(-733)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 20 = 0, -3*g + 0*v = 2*v - 14. What is the remainder when 23 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 48.023. Let s = n + 0.817. Let t = s - -0.4. What is t rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 0*h**3 - 1 - 4 - 7*h**2 - 2 + h**3 - 2. Let l(f) = 2*f - 8. Let r be l(7). Determine m(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136353727?\nAnswer: 61, 2235307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 + -2)*9\/42. Solve d = -m, -b*d = -m - d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94408 + 332385. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2. Let l(h) be the first derivative of -3 + 11*h**2 + 0 - 9*h**2. Calculate l(w(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 41 (b) -9\/8 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 196\/12. Suppose -3*l + 4*k - 3 - p = 0, l + 2*k = -3. Let y = l - -12. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39952277?\nAnswer: 233, 171469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n + 61*n - 668 = 892 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 392 - 3?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -j, 0 = 2*j + a - 8. Let h = -28 + j. Let d be 2\/(-10) - 480\/h. What is the greatest common factor of 38 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109684 divided by 1?\nAnswer: -109684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1459, -3, -0.4, -34, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*p + 977 = 141*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -721 - -722 - (14 - (-1 - -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -2\/7, -132, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4c08c4 (base 13) to base 10\nAnswer: 1829416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.149328 to four dps.\nAnswer: 0.1493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*q. Let i be q\/((-2)\/6*-2). Suppose i*n = 9, u - 5*n + 3 = -u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 8\/5)\/((117\/18)\/(-13)) and 2486\/44*(-2)\/(-50).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102 + 2657*t**3 + 108 - 1784*t**3 - 306*t + 2972*t**3 wrt t.\nAnswer: 23070*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(28\/8 + -3). Solve 0 = 5*x - 3*s - 7, 2*s = 2*x - z*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-165)\/(-45) - 4\/6. Suppose -w = -5*g + 2, -3*w + 7 = -5*g + w. Suppose -i*f + g = 10. Sort f, -5, 1.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 7. Suppose 2*i - 14 = -4*n, -n - i = 2*i - 11. Suppose 4*l - 104 = -n*m - 2*m, 5*l + 2*m - 136 = 0. Calculate the remainder when x is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114008*l**2 + 126341 wrt l.\nAnswer: 228016*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -132, -391, -846, -1557?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*w + 9 - 10, 3 = -3*m - 3*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 2. Suppose -546 = -w - 25*w. Let q be (-13)\/(273\/30) + (-12)\/w. Let o(b) = -7*b + 3. Give q*o(s) - 3*g(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -19. Let p = 20 - y. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 42017*x - 672747. Give r(16).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*p**3 - 497 + 265 + 235 - 291*p**3.\nAnswer: 46*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let p be 120\/(-12)*-1*1. Suppose -24 = -p*f + 7*f. What is the remainder when f is divided by l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/36 + -1)*(-2)\/5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1132.2 - -1132. Sort 213, g, 5 in decreasing order.\nAnswer: 213, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 496\/(-72) + 7 - (-120)\/(-108). Let a(s) = 6*s**3 + 3*s**2 + 5*s + 3. Give a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19 - (8 + 34 - 44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -51. Let u = -48 - v. Let r = u - -27. What is the biggest value in r, -6, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(34) - sqrt(34)*-1*-3))\/(sqrt(12)\/(2*sqrt(600) + sqrt(600) - sqrt(6))).\nAnswer: -232*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let h be (1 - 1)*(-3)\/o. Let s = 21986 + -21985.96. Is h at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*y = -120*y - 121*y + 5*i - 30, 3*y = -i + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 140. Let p(m) = m - 35. Let d(u) = c(u) + 4*p(u). Let l(y) = -2*y**2 + 381. Give l(d(s)).\nAnswer: -2*s**2 + 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 6, c: 5}. What is prob of picking 3 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (9 - 17)) + 1 + 3 - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3362670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l = -736 - 174 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1378*w**2. Let k(r) = -3*r + 659 + 5*r - 331 - 328. Determine a(k(n)).\nAnswer: 5512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 9*w**2 + 10*w**2 - w**2 - 832 + 166 to the form y + f*w**2 + x*w and give y.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)*(-21 - -6)\/((-2052)\/228).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.5 (b) 1 (c) 1\/4 (d) 5 (e) -2.3 (f) -0.2 (g) 2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101110000001000 (base 2) in base 10?\nAnswer: 121864","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 385*t - 385*t + 42*t**2 as g*t**2 + l*t + y and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 68 - 48. Let y = -5 - -7. Let u(q) = q - 2*q + 5*q - 2*q**2 - y*q. What is u(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 387474000 to the nearest one million.\nAnswer: 387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from ardbdbrdbad?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530900 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -69. Let z(b) = l*b - b**3 + 5*b**3 - 9*b**2 + 3 + 6 - 5*b**3. Let t be z(-11). Solve -2*i + t - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1))\/s)\/s*s*s**(2\/5)\/s)**(1\/65)*s\/((s*s*s*(s\/(s*s*s**(-6)*s))\/s*s*s*s)\/s)*s\/s**(-6)*s*(s\/(s**1*s))**5 assuming s is positive.\nAnswer: s**(-1298\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10585 + -5621. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-7)\/70 + 22\/(-5). Is 12 a factor of -28*(1440\/21)\/l + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-10 - 1) - (1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 366.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 x when three letters picked without replacement from loxbxbgp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*x - 39. Suppose -23 = -n - x*h, -n - 3*n = -5*h + 8. Is ((-20)\/(-5) + -5)\/(n\/(-492)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/712)\/(((-6)\/14)\/(1020\/595)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30253259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3279 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*t - 9. Let f = -4 + t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13794*u - 41380. Determine l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 - (-31 - (-4 + 18 - 21))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/20)\/((9\/36)\/(40\/16)). Let m(k) = -90*k**2 + k. What is m(t)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4153*b + 129. Let m(u) = -20762*u + 688. Let c(i) = -3*m(i) + 16*q(i). Let f(x) = x**2. What is c(f(s))?\nAnswer: -4162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.31636ng to kilograms.\nAnswer: 0.00000000000831636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 23. Let u = k + 5.5. Put 4, -1, u in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 7. Let g = 331 - 330.5. What is the closest to 1 in f, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:24 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = -2*n - 9, -24 = -4*n + 5*d. Let j be n + 3 + ((-189)\/(-6))\/(-9). Factor -j*m - m**2 + 1\/2*m**3 + 1.\nAnswer: (m - 2)*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:29 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**4\/12 - 6*d**2. Let p(o) = -21*o. Calculate p(i(c)).\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -150465804 and -0.0601?\nAnswer: 150465803.9399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**3\/3 - 3*r**2 - 8. Let d be y(-3). Solve d = -5*m - 30 + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*o + 8. Let m(z) = -2*z**2 - 17*z + 14. What is the lowest common multiple of m(o) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499583 + 206169 = 179*b + 9*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7*k - 12*k + 23 = 0, 0 = 4*y + 4*k - 28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 7) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2408 - -1478. Let i be (-2)\/(-1) - 64897\/70. Let x = a - i. Calculate the common denominator of 59\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/252 and -79\/444346.\nAnswer: 7998228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/5)*p*p*((p\/(p*p**(-18)))\/p)\/p)**30 assuming p is positive.\nAnswer: p**612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 7 + 1 + 60 + -33\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323791\/10 or 2\/19?\nAnswer: -323791\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -115225294095821\nAnswer: 115225294095820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2812*m**2 - 174 + 362 - 109*m - 196 - 931*m**2 wrt m?\nAnswer: 3762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -19. What is the remainder when 18 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 1. Let j be w(-3). Suppose 6*l - j = 481. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150564.14 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*(-66)\/(-22)*-4\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1541*x**5 + 18*x**3 + 41*x**2 + 138*x - 1?\nAnswer: 92460*x**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-13 + 14)*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3265, -6545, -9855, -13189, -16541?\nAnswer: -19905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 213 and -0.87339.\nAnswer: -186.03207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556849 by -93.\nAnswer: -27493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801 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: Let m = 3.3 - 8.3. Which is the nearest to 0? (a) m (b) 1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9875 a factor of 842989250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 193\/3 - (-10)\/15. Let p = h + -61. Suppose -10 = 3*s - 5*s + 3*f, -5*s - p*f + 25 = 0. Sort 13, s, -4 in increasing order.\nAnswer: -4, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**4\/24 - 4*q**3\/3 - 9*q**2. Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a**3 - 15*a**2 + 10*a - 76. Let d(o) = -14*o**3 + 18*o**2 - 12*o + 75. Determine -5*d(g) - 6*k(g).\nAnswer: -2*g**3 + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.36 - -47.26. Which is the third biggest value? (a) 0 (b) w (c) -1147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716791 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30102 and -5\/48.\nAnswer: 240816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/8 + -97\/56. Which is the second biggest value? (a) 5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 1. Let z = 8 - -7. Let m = 8 - z. Let k(l) = l**3 + 8*l**2 + 6*l - 10. Let c be k(m). What is d(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6731*o**2 - 3176*o**2 - 289*o**2 + 5961*o**2 to a*o**2 + i*o + s and give a.\nAnswer: 9227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003797892 rounded to 5 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-1)*(1 + 4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 141. Let x = -111 + k. Which is greater: -16\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 7022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 11102?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let f(g) = 415*g. Give r(f(y)).\nAnswer: -830*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42944149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/322905 and -1\/9064.\nAnswer: 2583240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 + 5339211\nAnswer: 5339211.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28149883163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118552659 to the power of 1\/2, to the nearest integer?\nAnswer: 10888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1) + (-12 - -9). Let x(r) = -302*r - 173. What is the hundreds digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357843 is divided by 509?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56078?\nAnswer: 2, 11, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14))\/((-5)\/20)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 0 - 56 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 21*a + 19. Let j be u(21). Let v = 21 - j. Suppose -5*m - 4*i = -37, i + 2 = m - 0*m. Put m, 0, v in ascending order.\nAnswer: 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 238, 469, 700?\n\"Answer: 231*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 4. Suppose 2*s - 9 = -z, 0 = -2*z + 3*s + 1 + 3. Sort q, -4, z in decreasing order.\nAnswer: z, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10941, 44276, 99979, 178050?\n\"Answer: 11184*f**2 - 217*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2. Let o(c) = -2*c**2 + 302. Give o(j(a)).\nAnswer: -8*a**4 + 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157.035 + -157. Let r = z - 0.235. What is the second biggest value in 0, r, 4, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {t: 1, g: 1, u: 4, m: 1, i: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018141 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4139276867 to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -0.4, -2272?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from rhjkhwrgg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -649398+0.01\nAnswer: -649397.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 11. Let y(m) = m + 2. Let l(a) = 33*y(a) - 6*z(a). Let d(x) = -3*x**2. Calculate l(d(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 25*r**2\/2 + 114*r + 100. Let p be m(-6). Let v(h) = 3*h**2 - h**2 + h + 6 - 3*h**2. Calculate v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Suppose 15 = -y*i, 3*z + 3*i - 27 = -z. Let a(v) = v**2 - 9*v + 7. Calculate a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 3)*((-459)\/(-54) + 10)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1904916531 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r. Let s(i) = -15*i**2. Calculate a(s(o)).\nAnswer: -270*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and -37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b**(-3)*(b*b**(-1\/4)*b)**(-10\/9))\/((b**(-1\/4))**(-47)*b*b**5*b**0) assuming b is positive.\nAnswer: b**(-781\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - -24 - (1 - 24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 59. Let g(y) = 2*y - 63. Let d(p) = 1. Let n(q) = m*g(q) - 6*d(q). Does 15 divide n(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (8 - (36 + (-10 - -3)) - -17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j - 12*j + 12307. Let l = -398 + j. Which is greater: -26 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by 3851.\nAnswer: -513\/3851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8*y + 13 = g, 0 = g + 2. What is the highest common divisor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:00 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 71 in increasing order.\nAnswer: -3, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + p**2 - 3 - 2*p + 6. Let u be 6 + (1\/(5\/20) - 5). Suppose 3 = c + d - 6, -u*d = -c - 21. What is z(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*n + 5 - 138, -4*n = -2*p - 130. Find j such that 144 + n*j**3 - 60*j - 72*j**3 + 44*j**3 - 8*j**2 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18319 + -27460183\/1499. Let f = 67433\/16489 - q. Find the common denominator of f and (2 - 28\/3) + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -58.99. Let i = -0.99 - m. Is i < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -133 - 134 - 54*u + 50*u**2 + 271 = 0.\nAnswer: 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/72 + i**3\/12 - i**2\/6 - 8*i. Factor h(s).\nAnswer: -(s - 2)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -683*b**4\/6 + 236*b**3\/3 + b + 404. What is the second derivative of w(m) wrt m?\nAnswer: -2732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, -23, -74, -129, -188, -251, -318?\n\"Answer: -2*y**2 - 41*y + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + h - 129, -13 - 11 = -m - 2*h. Let c = 44 - m. What are the prime factors of (-87)\/(-2) + ((-153)\/c - -8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14) + (102\/(-21) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 201 = -156. Suppose 11*m - 728 = -w*m. What is the remainder when 363 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677432 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1821 and -134.63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129463 = 587*d - 4086*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 12. Give j(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.05 - 0.05. Let t be (-10)\/60*16\/12. What is the third smallest value in 0.4, v, 3\/7, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*m + 3*m + 10, m = -2*v + 10. Suppose -f - 32 - 5 = m. Let o = f - -61. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -63*o**5\/2 - o**4\/4 - 1343*o**2\/2 - o + 2298. What is the derivative of h(b) wrt b?\nAnswer: -1890*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019989 rounded to four decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 77*u - 103. Is 2 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-82)\/60 - -3) + 9\/(-12) and 23\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4*n - 5. Let a be j(-4). Let m be (-45)\/(-18) - 4\/(16\/(-6)). Sort m, a, -4 in ascending order.\nAnswer: a, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.66 + -0.34. Let n = -44 - w. Let v be ((-30)\/18 - 1\/3)\/(-4). Which is the third biggest value? (a) v (b) n (c) 2.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 5*m + 0*m)*((-1 - 1 + 0)*(47 + 8*m - 47) + 0*m + 5*m + 0*m) to the form r + u*m + g*m**2 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 15. Let b = d - -29. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - (-3 + 5 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*12\/32*176\/550.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 2. Let o(l) = 2*l - 1. What is -7*o(s) + 3*w(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4928*f + 3. Let v(s) = 4943*s + 2. Calculate 2*c(w) - 3*v(w).\nAnswer: -4973*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 300347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**2 - 6*u**2 + 9*u**5 - 20*u**5 - 10*u**2 wrt u.\nAnswer: -660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465391411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(720) + -1 + sqrt(720) + 0)*-6 + 2 + 4)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 - 26*l**2\/3 - 92*l\/3 - 32 = 0 for l.\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000109701 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -31411.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(11) - sqrt(99)) + 5).\nAnswer: -30 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnfnfnnnffnfflfnn. Give prob of picking 2 f and 1 l.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 6*n - 1. What is the units digit of y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22051413 divided by -7350471.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2498 by -13806.\nAnswer: 1249\/6903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529360 divided by 7?\nAnswer: 218480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-37)\/(37\/691366) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-23 - (13 - 49))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 63 = 3*l - 15, -3*k = l - 30. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1081 + -205. Suppose 0 = -2*h + 1834 + 2956. Let u = w + h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/25 + 4\/(-10). Suppose -u*d + 5 = -5. Solve -d*s = 2 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(605) + (sqrt(605) + -2*sqrt(605))*5)**2*1).\nAnswer: 38740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.9346 and 4908.\nAnswer: -34035.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 2.7, 2.9 in increasing order.\nAnswer: -1, -0.3, 2.7, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-1*(-46)\/(-184)*(-5)\/(-5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.05. Let y = x - -0.44. Round y to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.168156 nanoseconds to milliseconds.\nAnswer: 0.000000168156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3) - (-176)\/(-264)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*z + 3 + 32 = 0, 4*x - 3*z - 1 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.055 - 82.055. Let z = a + 343. Let c = -260.99887 + z. Round c to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 - (-77)\/42. Solve 4*v - 5*n - k = 3, 5*n = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99.8 and 0.04273?\nAnswer: 4.264454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 + 12*i - 9. Let j = 18 - 9. What is the units digit of v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(343)*-3 + 5)**2 + -4 + 2 + 2 + sqrt(343)).\nAnswer: -12448 - 868*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 + 8*x**2 + 38*x - 1 - 12*x - 21*x. Suppose 16*k - 28 = 68. What is the remainder when d(-2) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268361.73 days in weeks?\nAnswer: 38337.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 19*z + 1191. Let k be i(-52). Calculate the greatest common divisor of k and 1479.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -644502 in descending order.\nAnswer: 1, -2, -644502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 13 + 3. Let g(z) = -z**2 + 0*z**2 + 3*z**w + 23*z - 26*z. List the prime factors of g(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69748, 69680, 69612, 69544, 69476, 69408?\nAnswer: 69340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127076, -128644, -131258, -134918, -139624, -145376?\n\"Answer: -523*q**2 + q - 126554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 + 18\/12. Which is the nearest to 1? (a) z (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-7))\/(6405\/(-245) + 26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 + 2658. Is 147 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -132, -319, -586, -933, -1360?\n\"Answer: -40*c**2 + 13*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxoffx. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 1 = h, -11*n + 5*h + 5 = -10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -b. Suppose -4*t + 79 - 3 = b. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 14*u**2 + 6. Let i = -4181 - -4188. What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/11 - 7627*i**3\/11 - 122247*i**2\/11 - 313337*i\/11 - 198718\/11 = 0. What is i?\nAnswer: -13, -2, -1, 7643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 93, 143, 207, 291, 401?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 + 373. Let w = 485\/3 - z. Let q = 10 + -188\/19. Which is the third smallest value? (a) 5 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u. Let v(x) = 187*x - 431*x + 149*x. What is v(g(z))?\nAnswer: 285*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 + w - 4. Let v(l) = -15*l**2 + l - 8. Let n(y) = -13*q(y) + 6*v(y). Determine n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)\/(l*l*l**(-2\/3)*l)*((l*(l\/l**(-1))\/l)\/l)**(-2\/7) assuming l is positive.\nAnswer: l**(-307\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 89, 199, 381, 653, 1033?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 12*v + 2*k, v - 2*v = 2*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2)*(-3)\/(-1). Suppose -h*z + 11 + 1 = 0. Differentiate 0 + 0 + 2 - i**z with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447.2875 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 288395.1 decades?\nAnswer: 34607412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 46. Suppose u*c - 5*s - 3 = 6*c, 3*c + 4*s = 2. Let h be -2 - (-12 - 0\/4). Solve c*v = h - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5633885297?\nAnswer: 5633885297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -117. Solve c + 5*a = -23, 0 = -c - x*c + 5*a + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22737\/3445)\/(6\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -9. Let w be (-2)\/(-5) - (-46)\/10. Solve -y + 4 = w, -5*u + y = t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(199584\/(-360)))\/(-6*(-1)\/(-8)).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 27*s + 133. Give l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 32. Let z be r(-10). Solve 3*u = 4*u - z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -61.468925?\nAnswer: -1.84406775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3086 and 4408.\nAnswer: 6801544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 4) to base 16.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11172, 14277, 17382, 20487, 23592, 26697?\n\"Answer: 3105*f + 8067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/557382 and -25\/5759614?\nAnswer: 17278842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnqq when four letters picked without replacement from qnqln?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(3\/24*6). Suppose j*w - 44 = 52. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11520 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**3 - 9374*g**2 - 5503718*g - 5494336. Let f(x) = 19*x**3 + 28119*x**2 + 16511157*x + 16483008. Let t(k) = 7*c(k) + 2*f(k). Solve t(s) = 0 for s.\nAnswer: -1172, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13785 is divided by 4566?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**3 + 10*u**2 + 2. Let t(y) = 6*y**3 + 9*y**2 + 2. Let c(o) = -5*r(o) + 6*t(o). Let h be c(-4). Differentiate 2 - 5 + 7*p**h - 2*p**2 + 7 wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2384472 and 35\/36.\nAnswer: 7153416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -38*n**3\/3 + 35. Let h(j) = -37*j**2 + 75*j**2 - 40*j**2. Calculate h(g(y)).\nAnswer: -2888*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -407.12 and -70.3?\nAnswer: 336.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkkb when four letters picked without replacement from pkjbp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*r + 100*r - 249*r + 2 - 21399*r**2 to i + l*r + c*r**2 and give c.\nAnswer: -21399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 523 + 46\/69*(-6)\/(-4). Suppose 70 = 531*q - k*q. Solve -2*t + 4*t = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -3*r + 902. Let h(x) = r + 346*x + 210*x - 526. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-2*l**3 + l - l) + (-l + 3 - 3)*(-l**2 + 2*l**2 - 5*l**2) to the form h*l + j*l**3 + c*l**2 + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31682 + 31848. What is the remainder when q is divided by (-4)\/(-14) + (-188)\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658002.3 months in centuries?\nAnswer: 548.33525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 + -225.99999699. What is x rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2182000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57057a (base 15) to base 11\nAnswer: 2386911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3473 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21*z**2. Let d(p) = -739*p. Calculate a(d(l)).\nAnswer: 11468541*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let t = 37250 + -37246. What is the nearest to j in 0.4, t, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) - sqrt(900)*1 - sqrt(900))*-6)\/(sqrt(48) + (sqrt(1200) - ((sqrt(1200)*2 - sqrt(1200)) + sqrt(1200)) - sqrt(1200)))*3.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 378?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -586.3161 to 1 decimal place.\nAnswer: -586.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 62*a - 51. What is the nearest to 1 in 0.1, a, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*p + 14, 4*t - 6 = t - 3*p. Suppose -t*o - 2 = -4*o. Solve 3*a - o = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 203822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, n: 12}. Give prob of picking 1 v and 2 n.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 197*w - 784 - 421 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 291, 645, 1141, 1779?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, 0, -2\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68228 is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 4. Suppose 28*l - 20 = 26*l. Calculate the greatest common divisor of p and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h - u = -223, 0 = 3*h + 4*u - 668. Suppose 3*y = 7*y - h. Let b = y - 38. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27072304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 21. Let q = z - 10.5. Which is the closest to 4? (a) -1 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 2*q)*(-2*q + 5*q + 2*q) + 91*q - 91*q - 2*q**2 - 4*q**2 + 3*q**2 + 2*q**2 + 0*q**2 - q**2 - q**2 + (0*q + 0*q + q)*(q - 4*q + 2*q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - -2. Let s = o + -1.1. Let x = s + -8. Which is the closest to 1\/3? (a) x (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, s: 10}. What is prob of sequence sj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 1237877\nAnswer: -7\/1237877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 6*l + 8. Let j be a(4). Solve j = -5*w + 2 + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2*o**2 + 8*o**2 - o**3 - 4*o - 7*o**2 to y*o**3 + f*o**2 + u*o + s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10360562 - 2?\nAnswer: 10360560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 16 + 5)*(166129*d**2 - 166129*d**2 + 49*d**3) to h + x*d**2 + g*d**3 + v*d and give g.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1, 0.2, -166, 2, 0.031?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4529765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438014 times -2?\nAnswer: -4876028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 542684*f**2 + 1519485*f - 976806.\nAnswer: (f - 108534)*(f - 1)*(5*f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.491, 4, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, -0.491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -86*i + 5. Give o(2).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 847.3 - 435. Let m = 432 - w. Let p = m + -4.2. What is p rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 7. Determine f(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -416, -935, -1662, -2597?\n\"Answer: -104*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -14, -a = -m + 1. Differentiate 74*w**m - 20 + 0*w**3 + 28 + 6 + 2*w**3 + 37 with respect to w.\nAnswer: 296*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -744.1003311 - -744.1. Round n to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + -85 - -110) + 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 16 = -3*g + 4*y, 16 = g + 4*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.5832ml to litres.\nAnswer: 0.0405832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.8 + -23. What is the fourth smallest value in 2, -4\/17, -0.3, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:52 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43963 plus -1267459?\nAnswer: -1223496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22027 + -22027.0000080765. What is l rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3\/2 (c) -4\/420321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43805 is divided by 795?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354 + 5?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81156.48 seconds to nanoseconds.\nAnswer: 81156480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 32*x**2 + 29*x - 67. Calculate c(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 6. Let j be c(6). Let b = -113662 + 113665. Solve 4*s + j*f + 17 = b*f, -11 = -2*s - 5*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 31865*f = -31862*f + 15, 0 = -r - 3*f - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((5 + -1)*13)\/(482\/723)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10639 by 10639.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47115\/5 - (8 - (-56)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. Suppose 21*d - 22*d = -3. Let u = 2 + -1.9. Which is the closest to u? (a) 0 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6587041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1088551476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 871840 (base 9) to base 11\nAnswer: 325534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207834593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/36)\/((-4)\/42). What is the tens digit of v\/(35\/20) + 81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 + -3. Let i = z + 0.1. Let q = i - -0.5. Which is the third smallest value? (a) q (b) -0.1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -113ed - -9?\nAnswer: -113e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -54, -163, 5 in descending order.\nAnswer: 5, 0, -54, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - 14\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.032522 less than 0.233218?\nAnswer: -11.799304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*r + 330, -2*u = 5*r - 4*r - 74. What is the highest common factor of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiik when four letters picked without replacement from iiik.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 372\/(-1302) - (2 - (-72)\/(-7)). Let g(v) = v**2 + 5*v - 3. Let x be g(-7). Solve -h - x = -t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24759446 is divided by 111.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -473\/49 (b) -0.049 (c) -1\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 4. Let f be i(-6). Let w = 14 + f. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2)*(-44)\/(-462)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21373 + 4577 = -1744*k - 210 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 0.1843.\nAnswer: -22.8157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 99, 4, 14, 10, -5, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-8)*(-2)\/(-42). Let g = 5\/14 - h. Solve -1\/4*f**2 - 1\/4*f + g*f**3 + 0 + 1\/4*f**4 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 12 - 56 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 67075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4+5467\nAnswer: 5463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7200 and 6300?\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 5)*(-4*q + 2*q + 3*q) to the form r*q + v and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 542 - 535, 3*l - 2*u - 3119291 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d**(1\/12)\/d*d)\/d*d))\/d*d*d**(-1\/4)\/d)\/((d**(-2)\/d)\/(d**(-6\/11)\/d)))**(-9) assuming d is positive.\nAnswer: d**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 50 + -42 + 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = 4*u. Suppose 2*v + 0 = 4*y + u, -5*y = -5*v + 15. Solve -g = -3*s + y*s, 0 = 4*s + 4*g + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647, -2643, -5977, -10655, -16683, -24067?\nAnswer: -32813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l + 319 + 3*l + 231 - 53 + 43 + 294*l**2 wrt l?\nAnswer: 588*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/120 - i**5\/60 + i**4\/24 + i**3\/6 - 6*i**2. Let w(o) = -2*o**3 - 3*o**2 + 4*o + 2. What is 4*p(x) - w(x)?\nAnswer: -2*x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 29 + 54 - (5 - -4) - 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 18107819\nAnswer: 5\/18107819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*g - 31 = -g, -15 = 3*g. Let x be 21\/6 + o\/3. Is x at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350579469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*h**2\/9 - 524*h\/3 - 64\/9.\nAnswer: -2*(h + 16)*(49*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-20) - 749\/(-70)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) 0 (c) -6\/11 (d) -0.395 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*y**5 + 4*y**4 - y**4 - 3*y**4 + 30*y**5 + y**5 + y**5 + y**5 + (-458 - 10*y + 458)*(-2*y**4 + 0*y**3 + 0*y**3) + 1 - 2*y**5 - 1.\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 93\/2 - 490\/196. Suppose -w*h + 20 + 64 = 0. Solve 9*u - h = 11*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (-1*sqrt(76) + sqrt(76))*-2))\/((-3*sqrt(16))\/sqrt(4)) + ((3*sqrt(152)*-2)\/(sqrt(32)*4) + -3)**2.\nAnswer: 23*sqrt(19)\/6 + 315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3494.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 + -69 + 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 6. Let l be k(-4). Let r(a) = a**3 - 2*a**2 - 2*a + 1. Let p be r(l). Calculate the smallest common multiple of 6\/5*(-20)\/p and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-3)*3\/2. Find m such that -y*m**2 - 5*m**4 + 50 + 5*m**3 + 10*m**3 - 50 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -1) + -750*(-10)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 7 (c) -3 (d) -2\/3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 - 12*u**3 - 6*u**3 - 12*u**3 + 37*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -16. Let y be (-318138)\/a*(-1)\/(-15). Let h = y + -2649. Calculate the common denominator of 77\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925233663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*l + 41, -l = b - 3*l - 19. Calculate the remainder when 45 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*l - 2*q + 163, q = l - 51. Let h = -39 + l. Calculate the smallest common multiple of 4 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/63 + 1)\/(3\/168). What is the greatest common divisor of t and 1360?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7326, -10, 1941 in increasing order.\nAnswer: -10, 1941, 7326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-12)*4\/(-2). Let o(y) = -3 + 5 + y**2 + 8 + 9*y - y. What is the units digit of o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 1 = j*i + 7. Let m be i\/(1 - 14\/8). Solve o + o = -m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - 4) + 1 + -2. Let f = 9 - x. Suppose -2*v + 7 = 4*y + f*v, y = 5*v + 33. Calculate the highest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + r**2 + 2*r**2 + (-3 + 2*r + 3)*(-5*r - 2*r + 3*r) + 0*r**2 - 2*r + r + 5*r**2 + (2*r + 2*r - 3*r)*(-2*r - 2 + 2).\nAnswer: -7*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 1209, 2804, 5037, 7908, 11417?\nAnswer: 15564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -175, -3, -2, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/3 (b) -14 (c) -0.04 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8 and 7\/3261.\nAnswer: 26088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(9\/8))**(-6\/17))**(-2))**(2\/41) assuming t is positive.\nAnswer: t**(27\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/60)\/19*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7023051 and 18900.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 17*c**2 - c + 260. Calculate h(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, -5 in increasing order.\nAnswer: -26, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -26 - (6 - (4 - (-2 + 2)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.55721 and -0.4.\nAnswer: -1.822884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19767495 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 7 + 3 + 17 in the form s*y + c + m*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2002 - -1993. Let z be 2 - ((-16)\/6)\/(-2). Which is the smallest value? (a) z (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g. Let v(u) = -u. Let x(t) = 2*t**2 - 14*t. Let n(z) = -28*v(z) + 2*x(z). Give p(n(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + (-38 - (82 - 162)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*48\/18*18\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 5*i**4 - i**4 + (-4*i**2 + 3*i**2 + 2*i**2)*(-10*i**2 - 4*i**2 + 43*i**2).\nAnswer: 31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*l)*(-22 - 27 + 16) to the form j*l + b and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -64*q**2 + 22\/3*q**4 + 19*q - 16\/15*q**6 - 13\/5*q**5 + 64\/3*q**3 - 2\/21*q**7 + 3. Determine o, given that i(o) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 4*g. Let j be f(3). Suppose 4*p - 9 = 11. Suppose -p*d = -j*y + 92, y - 4*y + 104 = d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v**0)\/v)\/v))**(-10)\/(v**2*v\/(v*(v\/(v\/v**(2\/17)))\/v))*(v**(-1))**23\/(v**(2\/5)\/v*v*v*v*((v\/(v*v\/((v\/v**(-4))\/v)))\/v)\/v*v) assuming v is positive.\nAnswer: v**(-4274\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1639632320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025778846.\nAnswer: 2, 7, 13, 97, 114749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -546411.58769 - -546406. Let u = f + 5.59. Let t = 0.002 - u. Round t to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.097101 centimeters to nanometers.\nAnswer: 60971010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2*-1*220\/210)\/1\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1065)\/(-42) - 1\/(-7) and (-2)\/4 - (-210)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/9 (b) 5 (c) 2\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -175.16\nAnswer: 17.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*t + 21, -2*t - 2*t - 14 = -2*z. Let i = 17 - z. Let b(a) = 3*a - 2. Calculate the remainder when i is divided by b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3863461.\nAnswer: 7, 547, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16634, 16508, 16370, 16214, 16034, 15824, 15578, 15290?\nAnswer: 14954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpprmmm. What is prob of picking 1 r and 2 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -239808?\nAnswer: -7\/239808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94217672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + o - o - 2*o)*(-25 - 17 + 13).\nAnswer: 58*o - 493","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - 6*z + 3. Let j(o) = -15*o**2 + 12*o - 7. Let y(p) = -6*j(p) - 13*l(p). Let s be y(5). What are the prime factors of (s\/12)\/(1\/45)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 32*t**3 + 11*t. Let g = 4 + 0. Let d(a) be the second derivative of -11*a**5\/20 - 2*a**3\/3 + 469*a - 2. Calculate g*f(k) + 11*d(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 - 110 + 14*d as s + z*d and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 21*y + 55. Let i be v(3). Let z(n) = -1 - 22*n**3 + n**2 + 69*n**3 - 21*n**3 + n. Calculate z(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4188926807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 10*t - 82 = -2*h, -t - 5*h + 79 = 0. What is the highest common factor of 56 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4261666 (base 9) to base 6\nAnswer: -120544223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 476 + 2241. Suppose -13*b - g = -4*r - 10*b, r = -b + 47. What is the lowest common multiple of 9 and r?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otld when four letters picked without replacement from trolorzld?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let q(m) = m**2 - 3*m + 4. Let b(h) = h**2 - 5*h + 9. Let o(k) = -4*b(k) + 9*q(k). Calculate o(c(s)).\nAnswer: 5*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b = 39*b - 2313. Calculate the remainder when b is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -48. Sort -0.6, 0.1, f.\nAnswer: -0.6, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1. Let c(y) = -6 - 2 + 5 + y**2 + 3*y**2. Suppose 2*f - 6 - 14 = 0. Let n be f\/(-5) + 3 + -2. Calculate n*c(j) - 3*x(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22922?\nAnswer: 2, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -731\/138 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.3. Suppose 4*g + 12 = y, 2*g = 4*g + 5*y + 28. Let f be (-64)\/(-30) - (g - -6). What is the nearest to z in f, -2, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*b + 990, 1585 + 1347 = 3*o - 4*b. What is o rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*(sqrt(8)\/sqrt(2) + sqrt(4)))\/(sqrt(4)\/(sqrt(8)\/sqrt(4))) - (sqrt(36)\/sqrt(36))\/(sqrt(162)*1))**2.\nAnswer: 46225\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let r = 32 + -27. Suppose -4*l - l - 25 = -5*d, r = -2*d - 3*l. Let p(y) = -22*y + 3*y**d + 22*y. Determine h(p(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - 75. Let g = x - 133. What is the remainder when 53 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1767*d - d**3 - d**2 - 1767*d + 25 in the form p*d + a + y*d**2 + b*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - o. Let c be m(1). Let f be 0*c\/4 + 33. Suppose 0*n - f = -3*n. Calculate the remainder when 18 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -420*d**3*z**4 - 241*d**3*z**2 - 4*d*z**2 + 3*d*z wrt z.\nAnswer: -10080*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -991\/2 + 494. Which is the nearest to 0? (a) q (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*c - 0*c. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 3, w: 1, y: 2}. Give prob of sequence yqyw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(336)\/sqrt(588))\/(sqrt(4) - (sqrt(324) + -4*sqrt(324))) + -5.\nAnswer: -3 + sqrt(7)\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2315716 (base 12) to base 16\nAnswer: -66fac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*l - 251*l - 24 = 0. Solve -5*o = -3*y + 18, o - l*y + 8 = 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176.2 - -176. What is the smallest value in 13, 3\/5, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f - 68. Let p(b) = -3*b - 25. Let d be p(-5). Calculate the remainder when u(d) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30*w**3 - w**2 + 2*w - 1. What is the remainder when 87 is divided by g(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 17. Let o = 29 + -46. Let l be j(o). Suppose l*p = -3*p + 39. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*z - x - 3, -5*z - 5 = -2*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/260574 and -121\/48.\nAnswer: 2084592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/9, -0.31, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 6 + 1 + 0*u. Let p be t(5). Suppose p = 4*z - 9 - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13112 - -13205) + (-144 - 1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 3*s - 5. Let r(k) = -5*k**2 + 3*k + 6. Let f(d) = 4*a(d) + 3*r(d). What are the prime factors of f(9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-405)\/(-225)*(-3)\/(27\/(-15)). Solve 5*o + 16 = -z*y, 0 = 4*y + 9 - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 6*v**3 - 6703*v + 6704*v - 1 + v**4 - 2*v**2 as l*v**2 + o*v**4 + u*v + w*v**3 + n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 751668 to the power of 1\/2, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 354*l**2 - 1460*l + 7128497?\nAnswer: 708*l - 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/7441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 6. Let c = -6 - -11. Let m be l(c). Let i = 2 - m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) -42 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -10, 0*d - d + 179 = 8*t. Suppose 3*z - 2*n + n - 71 = 0, 2*z - 4*n - 44 = 0. Let c = z - t. Is 1\/7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.935 + -0.065. Let g = 24.8 - 25. Which is the third smallest value? (a) z (b) -72 (c) g (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23.2. Which is the nearest to u? (a) -1\/3 (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -75. Let b be 188\/l - 1\/6. Put 0, -3, b, 2 in ascending order.\nAnswer: b, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3468*f = 3379*f + 1691 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 4, v: 6, d: 2}. Give prob of picking 2 v.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let w be 5958\/(-520) + p\/24. Let u = w + 47\/5. Find the common denominator of u and -33\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*n + 0*n + n)*(1 + 0 + 1) - n - n + 5*n - 2*n + 3*n - 3*n)*(228*n + 1012*n + 59*n + 792*n) as k*n**2 + s + r*n and give k.\nAnswer: -6273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076912 is divided by 198?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1690\/(-105) + 3 + (-14 - -27)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = 16*h - 4*h - 167 + 114 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088364619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(700))\/(sqrt(4) - (sqrt(4) - (sqrt(144) - -4*sqrt(144) - sqrt(144))))*-1.\nAnswer: -sqrt(13)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 + -1076.84?\nAnswer: -1601.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187357883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 49770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11807 - 11347. What is the least common multiple of 4 and y?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25466 + -25631.776. Let f = o + -2.324. Let b = f - -157. What is b rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 830*p**2 - 3645*p + 2086. What is g(-281)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 3*f - 217. Is z(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 1. Let l(f) = 3*f**3 + f**2 - 2. Determine 2*j(r) - l(r).\nAnswer: -r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 14 + 214 = 0. Suppose 4*n = 184 + k. Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 2840*f + 504100.\nAnswer: 4*(f - 355)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14217*m**2. Let n(l) = 2*l - 30. Calculate n(s(w)).\nAnswer: 28434*w**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -6, 0.08, 1, 0, -12, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g)*(-2 - 1 + 4)*(10 - 10 + 3*g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -4957072868?\nAnswer: -4957072867.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110292, -110286, -110276, -110262, -110244, -110222?\n\"Answer: 2*c**2 - 110294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -45. Let b(r) = 3*r + 28. What is the tens digit of b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c + 27*c + 3*c**2 - 3*c**2 + 34*c + 3*c**2 in the form s*c**2 + y + a*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -460 + 460. Put -5, 29, r in descending order.\nAnswer: 29, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 1. Suppose t*z + 5*d - 20 = 0, -2*z - 3*z + 20 = -5*d. Factor -3*q**2 - 2*q**3 + q**z + 2*q**4 + 2*q**5 + q**4 - q**3.\nAnswer: 3*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 838*s - 845*s - 5*d, 4*d = s - 57 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 177. What is the remainder when q is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 45. Let m = t - -98. What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/939 and -74\/129.\nAnswer: 40377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-21))\/((-25)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 1, u: 5, e: 3, s: 1, f: 1}. What is prob of picking 1 f and 2 y?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**3 + 3*v + 3. Let j = 78 + -75. Let r(q) = -9*q + 10*q - j*q**3 + 2*q**3. Let p(o) = -2*n(o) + 6*r(o). Differentiate p(g) wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 4. Solve 0*w = g*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139 - -59) + (-32 - -104).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 10*w - 12. Determine q(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 2 n when four letters picked without replacement from ffznnjjfnnnnnnz.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + -12. Let i = 38.4 + u. Let c = i + -7.5. Round c to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(8)\/sqrt(4) - (sqrt(4)\/sqrt(2) + -5) - ((sqrt(18)\/(sqrt(9)*-2) + sqrt(2))*5)**2.\nAnswer: -15\/2 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2375 + 2376. Let q(k) = k**3 - k**2 - k + 5. Let n be q(0). Does 13 divide 86 - (p - n) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) -0.5 (c) 1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.955? (a) -0.3 (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 5*s - 2 + s.\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1422428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 256*c**2 + 0*c.\nAnswer: 256*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (76 + -74)\/((4\/(-570))\/(-1)). Let a(h) = -284*h - 5 - 2 + d*h. What is a(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 43*b + 24. Let k(o) = -117*o - 64. Let y(v) = 3*k(v) + 8*m(v). Let p(c) = 3*c**2 - 4. Give y(p(f)).\nAnswer: -21*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/2 - 9*w**5\/5 + 15*w**4\/2 + 52*w**3 + 108*w**2 + 96*w - 555. Solve z(o) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b = -152*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36711 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/((-99)\/110)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-4) - 29)\/(-2) + -3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5104873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-30))*57\/570\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3 - 80*q**2 + 2756*q = 0.\nAnswer: -106, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 23763\nAnswer: 1425.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/26 - ((-30)\/16 - -1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6)\/((-7 + -3)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397947 (base 10) to base 2.\nAnswer: 1100001001001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let u(t) = t**2 + t. Determine -4*u(o) + 10*y(o).\nAnswer: 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 29*d - 6*d - 6)*(-2 + 4 - 5).\nAnswer: -66*d + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 3. Let w(q) = -804*q + 3212. Let g be w(4). Let k(d) be the first derivative of 13*d**3\/3 - 7*d - 1. What is g*k(r) + 9*y(r)?\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1 + 4 - ((sqrt(98) + -2)*-3 + sqrt(98)) - (4 + sqrt(98) + sqrt(98) + sqrt(98) + 3*(-3 + sqrt(98))))**2 + 4.\nAnswer: -84*sqrt(2) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242244584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 736 + -90530\/123. Suppose 0 = -2*y + 2*g - 6, -y + 0 = 4*g - 2. Let d(v) = v + 3. Let w be d(y). Is p > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 726329592 and 12.\nAnswer: 726329592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/630)\/((-48)\/(-10)). Let m = a - 47\/168. What is the closest to -1\/4 in 0.1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 13*r**2 + 46*r - 28. Suppose -j = -7*j - 96. Let g be k(j). Let f(p) = 2*p + 2. What is f(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzzzggzzz. What is prob of picking 1 z and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -36*m**3 + 25384*m**2 - 4488704*m + 4956160 = 0.\nAnswer: 10\/9, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 3. Let w be y(-7). Suppose 4*z + w - 57 = 0. Solve 2*i - p = -6 - 0, 5*p + z = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1599, -1598, -1597, -1596, -1595, -1594?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1089422876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 - -3) + -5 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j + 1. Let w(k) = -k**3 - 3*k**2 + 1. Let v be w(-3). What is d(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**5 - 2828*f**4 - 36029*f**2 wrt f.\nAnswer: 180*f**2 - 67872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (9\/(-3) + 0)) + -828. Let k = 459 + -806. Let y = k - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 19 - 8) + (-1 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -800*j*l*m**2 + 12*j*l*m + 20458*j*l + j*m - 14*l*m**2 - 1244*m**2 - 159*m wrt m?\nAnswer: -1600*j*l - 28*l - 2488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let b(j) = 4809*j**2 - 136*j. Let z(w) = -601*w**2 + 16*w. Let r(u) = -2*b(u) - 17*z(u). Determine a(r(c)).\nAnswer: -599*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, 2\/19 in increasing order.\nAnswer: -67, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1322702528 divided by 99064\nAnswer: -13352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 24*w**2 - 30*w**2 + 2*w**4 + 52*w**2 as i + s*w**3 + z*w**4 + j*w + y*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2*d**4 + 16*d**3\/3 - 27*d**2 - 7*d - 454. What is the second derivative of z(w) wrt w?\nAnswer: -48*w + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 - -2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -44. Suppose 76 = -n*j + 4*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/210 + y**4\/42 - y**3\/21 - 13*y**2. Factor x(l).\nAnswer: -2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-40 - (-15 - -12) - -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 26 = -23. Let r be j\/(-4) + 264\/32 + -8. Solve -r*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49501581 by -3.\nAnswer: 16500527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 16 = 3*o, -87*l - 14*o = -85*l - 60 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.991127 - -36.\nAnswer: 36.991127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 606*a + 23. Is z(57) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 112 - 16)*(-3*x**5 - 3*x**5 + 4*x**5).\nAnswer: -422*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 3*n**2 + n**2 + 50 - 11*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**3 + 391*w**2 + 59*w - 498. Calculate x(49).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 6315\/49?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-18)*2\/(-10). Are -1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 2*z - 42*z + (-3 + 2 + 2)*(z + z + 0*z) - 3*z - 2*z - 3*z - z + 5*z - 5*z + (-4*z + 3*z - z)*(5 - 5 - 1) + 3*z - z + 0*z.\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 3. Suppose -2*u = d + 83, 0*d - u = 2*d + 178. Let m = 94 + d. Determine v(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 72*f - 15. Let y(q) = -145*q + 30. Let t(n) = -5*v(n) - 3*y(n). Does 15 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/27 and -11\/90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 27. Let h = -169 + 177. Solve 0 = 4*d - h*d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 5427*j\/5 + 847826\/5.\nAnswer: (j - 5266)*(j - 161)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1919*g. Let p(s) = s**2 - 45686. Determine d(p(x)).\nAnswer: -1919*x**2 + 87671434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186006 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtn when three letters picked without replacement from rtrttncrncwtrt.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - 1. Let v(t) = -3*t - 56. Let u be v(-19). Let c(i) = i**3 + i**2. Give u*c(a) + m(a).\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 57*o - 49*o + 24, 5*g + 2*o = -6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065*o - 1946*o = 238 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(2400) - sqrt(2400))*-1)\/(6*(sqrt(1152)*2 - (sqrt(8) - sqrt(24)\/sqrt(3))*5))*2.\nAnswer: 25*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c)*(-2*c + 0 + 0) - 3*c - 2*c**2 + 3*c + (0 + 0 - c)*(0 + 2*c + 0) - 6*c**2 + c + 10*c**2 - 12*c**2.\nAnswer: -10*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*v + 9*v. Let b(r) = v*r + 245 - 245. Let o(x) be the third derivative of -x**4\/8 + x**2. What is o(b(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.4 from 16566824091.307.\nAnswer: 16566824087.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**5 + 2*d**4 - 10*d**3 + 6*d**2 - 4*d - 4. Let g(v) = -2*v**5 + v**4 + v**3 - v**2 + v + 1. Let b(a) = 4*g(a) + h(a). Find p such that b(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29413326686+-3\nAnswer: 29413326683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*o**2 - 4 - 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -83 + (24 + -20 - (-17 + -10 + 16))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -11*k + 735. Let q = 731\/5 - k. Let m = q + 2\/5. What is the second smallest value in 2\/17, m, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l - 2. Let f be k(-2). What is the closest to -2 in f, 0.2, 1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n + 306. Let i be n\/(-36) + 2\/(-8). Solve -2*p + p - 2*c - 7 = 0, 0 = c + i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -44.7. Let r = -1.37 - -1.47. What is the closest to -1 in 2\/7, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5558190, -5558318, -5558450, -5558586, -5558726, -5558870, -5559018?\nAnswer: -5559170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048224375 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 840814 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, -0.1, -0.4 in descending order.\nAnswer: 6, -0.1, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 3 - (3 + -3 - 0). Suppose 2*r - 3*b = -2*r - 9, -l = -r - 2*b. Sort r, -1, -8, 1 in increasing order.\nAnswer: -8, -1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 9:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 10*m - 17. What is p(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.5 + 51. Let x(a) = a**3 - 6*a**2 - 4*a - 4. Let g be x(6). Let w be 3 + g\/(-20) + -4. Sort i, 0.1, w, -0.2 in descending order.\nAnswer: w, 0.1, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10275572?\nAnswer: 2, 23, 61, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1 + -1 + 4 + 5*(sqrt(17) + sqrt(425)*-1) + 5.\nAnswer: -19*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/50490 and -8\/4835?\nAnswer: 48823830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 180 = -5*t, 0 = -3*h + h - 5*t + 65. Let w = h - 25. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345071.\nAnswer: 29, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115052013.\nAnswer: 3, 12783557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:17 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 6*i + 3. Let y be b(7). Let l be 1 + -2 - (-16)\/y. Is 1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 720*s**4 + 90*s**4 + 736*s**5 + 479*s**5 - 1096*s**3 - 7*s**2 + 1036*s**3 - 33*s**2 = 0. What is s?\nAnswer: -2\/3, -2\/9, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17166.731878 rounded to 1 dp?\nAnswer: -17166.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 5*j**5\/3 + 10*j**4 + 184*j**3\/9 + 16*j**2 + 16*j\/3 + 12. Factor s(h).\nAnswer: (h + 2)**2*(5*h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13081.\nAnswer: 3\/13081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:02 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 42) + (23 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u - 1764. Let j be ((-32)\/6)\/(14\/u). Let v(c) = 3*c + 3. Let q be v(6). What is the highest common factor of j and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*w + 382. Calculate the remainder when w is divided by (-12)\/(-39) + 5400\/195.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1577 - 661 = 6*t. Let g = 2617\/7 + t. Suppose -3*s + 15 = -0. Which is the nearest to g? (a) -0.3 (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1497*x - 13144*x - 6528*x + 295 - 295 as h*x + v and give h.\nAnswer: -18175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - 25*p + 28. Let a be j(6). Suppose 8 = i - 5*x, 27*i - a*i - 5*x - 60 = 0. What is the remainder when 19 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + 51\/(-24). Let o(f) = f - 5. Suppose -32 = -2*m + 4*w, 4*m + 0*w - 39 = 3*w. Let y be o(m). Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 + 12*q - 14. Let n be j(8). Let m = n + -141. Calculate the remainder when 77 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117) + -3)*-5)**2 - ((-1 + sqrt(1872) + -4)**2 + 0).\nAnswer: -7080*sqrt(13) + 48503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + t = 5*k - 347, 0 = k + 5*t - 89. Suppose n = 122 - k. What is the greatest common factor of n and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*s**4*x**2 - 10*s**4 + 199*x**2 + 10*x + 1 wrt s.\nAnswer: 1140*s**3*x**2 - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q - 24. Let m be b(-7). Suppose m*h - 23*h = 30. What are the prime factors of (-6 - 136)*h\/4?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*t = -88169951 - 35030041, -5*n - 153999994 = 3*t. What is n rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d - 8. Calculate the remainder when 25 is divided by m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1579 or 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10741 = -t + 3068, 3*b = 3*t - 41463. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1231 and 468.\nAnswer: 576108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i - 4*i**3 + 5*i**3 + 0 + 5 - 6*i**2. Determine p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtssssslzllslylyzsl. What is prob of picking 2 y and 1 t?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -60 - (-17556)\/285 - (166\/10)\/1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 0.003?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y - 28. Let w be u(-8). Suppose 3*k - 71 = l, k = -k - 4*l + w. Calculate the highest common factor of 144 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1776704 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(1320\/(-42))\/11. What is the highest common divisor of 14230 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by ((-6)\/3)\/1 - -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Let v = t - -2.5. What is the smallest value in 2\/13, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648, -4831, -16180, -38277, -74704, -129043, -204876, -305785?\nAnswer: -435352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*x - 30 = -61*x. Is (-9)\/x + 1 - (3 + -16014) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 12*f**2 + 4*f + 2. Let y be o(-3). Suppose -73 + y = 13*a. Solve -2*g - 5*j + 5 = 0, a*j = 4*g - 30 + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**24*x*(x*x**(3\/13))\/x*x assuming x is positive.\nAnswer: x**(341\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*h + 2, 4*h - 2*h - 28 = -4*a. Suppose a*r = -1 + 41. What is the second derivative of r*d**4 + d - 3*d + 10*d wrt d?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(81) - ((2*sqrt(119))\/sqrt(7) - sqrt(17)))**2 + ((-1 + sqrt(1700))**2 - sqrt(1700)) + 2.\nAnswer: -30*sqrt(17) + 15395\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:35 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*q - 4, -22*q + 5*i = -21*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -230*a - 14597. Determine s(-63).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3\/4 - 8403*h**2\/4 + 1348293*h\/2 + 13562010 = 0.\nAnswer: -3090, -19, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/27)\/((-70)\/5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 18362*w + 18365*w - 3 = 0, -4*m + 2*w + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2 - 4. Suppose 2*b = -3*b + 5*j + 60, i = -2*j. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, o: 13}. Give prob of sequence pp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + y - 1. Let x be v(2). Let t be 3 - (x - 2) - -14. Let i be 52\/(-36)*-3 + (-6)\/(-9). Solve -6 = i*h + t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-4*sqrt(320)).\nAnswer: -sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**3. Let t(f) = -19*f**3. Let o = 1 - -5. What is o*t(l) - 13*b(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 460 - 815. Suppose 4*j = j - f. Let z = -53 - j. What is the highest common factor of z and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**2 - 12*m + 4. Suppose 9 = -2*c + 3*i - 6, -5*c = 4*i + 49. List the prime factors of g(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 6\/(-15) - 42\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/150 + 21\/25. Let h = 15 + -61\/4. Which is the smallest value? (a) 2\/19 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from uuqu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 18 = -3*d - 5*p, -5*p = -d - 6 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243389 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3184, 6356, 9528, 12700, 15872, 19044?\nAnswer: 22216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810 by -27.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 0 - sqrt(448))*-1 + sqrt(448))**2 + sqrt(448) + (sqrt(448) + -1 + -1)**2.\nAnswer: -24*sqrt(7) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 134551*d**2. Let v(h) = h**2. Give f(v(p)).\nAnswer: 134551*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -38 - 5*q - 6*q + 33*q. Let s be d(16). Find the common denominator of 52\/45 and (-2 + s\/16)*2\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwpppwp. What is prob of picking 1 w and 1 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(0 + 2))\/(4 - 2). Let z(h) be the second derivative of 0*h**3 - 3*h + 1\/12*h**4 + 1\/2*h**2 + m. Differentiate z(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6387?\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrznnr. Give prob of sequence zq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121.556252 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 3*l + 12 - 2 + 0*l.\nAnswer: -2*l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 9*r. Let w be (-2)\/r - (-13249998)\/5. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100211?\nAnswer: 100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10530\/167 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 - 2*m. Let j be o(-2). Solve -2*k - 8 = 0, 3*t + 2*k = k - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 - 99. Which is bigger: -379 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2795022 greater than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536275.\nAnswer: 5, 13, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15936 and 26122092?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let m = 0 + -3. Let s = m + 5. Let f(v) = -2*v**s - 4 + 0 + 4. Give f(b(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - 5724?\nAnswer: -5758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0048 - -10.0352. Let x = -10 + u. Which is the closest to x? (a) 1\/4 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 902 (b) -101 (c) 60\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 14745740.32?\nAnswer: 14745747.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (364\/24 - 15)*3\/9*8.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:53 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 14. Let r(i) = 4*i - 6. Let m(n) = -7*r(n) + 3*v(n). Let q(w) = 168*w. Give m(q(a)).\nAnswer: -168*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36178583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*k + 22, 2*k = 4*x - 0*k - 116. Let u = 86\/3 - x. Let l = -80.1 + 80. What is the nearest to -1 in u, l, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121010 (base 3) to base 13\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -305290\/13 - -23484. Let j = 0.43 - 0.03. Which is the nearest to j? (a) k (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1807 (base 9) in base 10?\nAnswer: -1384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 48*d**3 - 84*d**2 - 760*d + 2400.\nAnswer: -4*(d - 6)*(d - 5)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z. Let i(v) = 1217*v. What is i(d(f))?\nAnswer: 14604*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171107749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 3*s)*(-10*s - 34*s - 28 + 26) in the form p + k*s + j*s**2 and give j.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7673 - 7668. Suppose 0*o - 3 = -o. Suppose -2*q - h = -60, o*h - 72 = -2*q + 5*h. What is the remainder when q is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 50 - 100 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317219 divided by -1?\nAnswer: 1317219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578558082?\nAnswer: 2, 191, 4132351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p - 8. Let q be s(-8). Let m(x) = -8 - 2*x**2 + 11 + 14*x**2 - x**3. Let t be m(12). Sort q, t, -3.\nAnswer: -3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*d - 44, -756*d = -762*d - 2*n - 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13125?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 25 - 81 = -1. Which is the third smallest value? (a) 7 (b) -14.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(17)*-1 + sqrt(17))*-2 + (-3*sqrt(51)\/sqrt(27)*5)**2.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 + 6*f**2 - 24*f - 2?\nAnswer: -36*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12*-7 + -21*8\/36. Is -1\/87 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5499, -5501, -5503?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3430, -3391, -3320, -3205, -3034, -2795, -2476, -2065?\n\"Answer: 2*d**3 + 4*d**2 + 13*d - 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 57\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 6. Suppose 0 = -3*m + 67 + 83. Suppose -q - 9*q - m = 0. Calculate l(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**2))\/(v*v\/(v\/((v*(v**(-2\/7)*v)\/v*v)\/v))))\/(v**1)**(-33)*((v\/(v*v*v*v**(-9)\/v*v))\/v**0)**(1\/32) assuming v is positive.\nAnswer: v**(6385\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 263, 297, 331, 365, 399?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - e899d?\nAnswer: -e89b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/8748 and -59\/3.\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996663 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) + 32\/(1103872\/(-6300)). Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*i + 22 - 133 = 0, i - 126 = -y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 15*i**2 - 28*i - 9. Let l(n) = 4*n + 7. Suppose -8 = 2*j + 2. Let t be l(j). Let h be a(t). Solve 2*k = -4*g - g + h, 4*k + 6 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 109. Which is the biggest value? (a) o (b) 2\/7 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-3) + 16\/(-24). Let j be 2\/44*(h - 1). Which is the third smallest value? (a) 5 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-39) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 1483170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5*j - 12*j)*(-3 - 4 + 2).\nAnswer: 65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2457 or 2461?\nAnswer: 2457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/234411 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34489391523871 and 0.07.\nAnswer: 34489391523871.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 1, c: 2, d: 3, x: 2, a: 1}. What is prob of sequence tcd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -3*r - 11*r. Suppose 132 = 30*l - r*l. Solve -g + 0*g - i = 0, l = g - 5*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.39, -11, -4462?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -4*z. Which is the biggest value? (a) 2\/19 (b) z (c) -0.3 (d) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 372, 2789, 9336, 22077, 43076?\n\"Answer: 344*o**3 + o**2 + 6*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -57\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/49 - 26*s**6\/105 + 6*s**5\/7 + s**4\/3 - 37*s**3\/7 - 36*s**2\/7 + 165*s + 5. Let o(c) = 0. What is c?\nAnswer: -1, -1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/28)\/(-2*(-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1702 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*o + 6, 0 = -2*d - 5*o + o. Suppose -7*f + d*f = -29248. Let l = f + -42248. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-19))**2 assuming c is positive.\nAnswer: c**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 0*a**4 + 0*a**4)*(3 - 5 - 1) + (-3*a**3 - 4*a**3 + 6*a**3)*(-a + 2*a - 2*a) - 7*a**4 + 2*a**4 + 3*a**4 - 3 + 3 + 2*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**43\/(f\/(f*f*f\/(f*((f*f*f\/(f\/f**(2\/7))*f)\/f)\/f))*f)**47*(f**(-2\/3))**46*f**(-6)*f*f**(2\/5)\/f*f assuming f is positive.\nAnswer: f**(-8758\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499611 is divided by 5337?\nAnswer: 5251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wuuwuwwwuw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 = l + 1, -5*l + 5*f - 140 = 0. Let b be -3 + (-49)\/(-21) + (-83)\/(-3). Let u = b - l. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/4 of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, -w - 8*b + 1 = -12*b. Let s(j) = -9*j - 2. Let c(q) = -5*q - 1. Let v(t) = 5*c(t) - 3*s(t). Let f(x) = x. What is w*f(z) - 3*v(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1 + -1 + -3*(sqrt(704) + (sqrt(704) - -1*sqrt(704))))**2 + 1*(sqrt(110)\/(sqrt(10)*2*2))**2.\nAnswer: 720907\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 459, 923, 1395, 1881, 2387, 2919, 3483?\n\"Answer: l**3 - 2*l**2 + 463*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/((-71)\/6177). Let k(w) = w**3 - 30*w**2 + 32*w - 66. Let z be k(g). Solve -z*r = -25*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.37774 and -23.\nAnswer: -8.68802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 + 1*-3. What is the units digit of 2\/f - 10\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1 - 1) + 5. Suppose 2*m - 1 = c. Suppose -m*p + 2*i + 2*i = -16, 10 = 5*p + 5*i. Solve -g - 29 = 4*x - p*g, g = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -157.12096271?\nAnswer: 157.22096271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*t - 11, 5*d + 15 = -3*t - 2*t. Let h = t + 3. Sort 0, h, -1.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -4*u + 0 + 3\/2*u**3 + 0*u**2. Let v(f) be the second derivative of -f**3\/3 - 5*f - 2. Determine v(g(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760684167 less than 4.9?\nAnswer: -1760684162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.9 - -22408?\nAnswer: 22380.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -17. Suppose -3*a - 4 = d, i*d - 5*d = 3*a + 5. Sort -17, a, -5 in decreasing order.\nAnswer: a, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(-1*-1*sqrt(10)))\/(2*((sqrt(864) - -1*sqrt(864)) + sqrt(864) - sqrt(6))).\nAnswer: sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65.502279 + -15\nAnswer: 50.502279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 3692080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -344703.353 - -361744.43. Let r = 17005 - u. Let j = r - -36. Round j to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91230342 is divided by 4182?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130575 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*t**4 + 1325*t + 43461*t**3 - 2*t**2 - 43464*t**3 + 58*t**4 to f + z*t**4 + h*t**2 + o*t**3 + x*t and give x.\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 33763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -3\/1483 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18 + (-3752)\/(-210) + (-96)\/(-45). Put 8, -7, h, -3 in ascending order.\nAnswer: -7, -3, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344583 (base 10) to base 6\nAnswer: -11215143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12812936 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/(-16) + 3\/(-12). Suppose -20 - 4 = -v*p. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgv when three letters picked without replacement from gokogogooookovg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/3, -2341623, -3 in ascending order.\nAnswer: -2341623, -3, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -2*w + 2*v + 48, 5 = -5*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 - 1. Let b be g(-2). Solve -5*t = b - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4343 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2784*y + 2960*y - 6012*y.\nAnswer: -268*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*a - 56, 0*a + 5*a - 2*s - 97 = 0. Suppose l + a = 5. Let r be l\/(-56) - 934\/(-8). What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*y, -123*p + 128*p + 4*y = -27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(630\/(-12)))\/(1\/9)*705313\/17781?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 5. Let g be y(-7). Calculate the remainder when (-132)\/g*(-8)\/3 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 1424804?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 3*i + 41, -4*v + 23 = 3*i. Let z(u) = 5 + 73*u**2 + 7*u - u**2 - 73*u**2. Calculate z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -110, -153, -232, -359, -546, -805?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 134, 13, -108?\n\"Answer: -121*u + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2, 5*b - 50*j = -54*j + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9))**(-35)\/(f*f**8*f*f\/(f*f*(f\/f**(-1\/5)*f)\/f))*(f**(-1\/16)*f**2)\/(f**(-9)*f*f**(4\/9)) assuming f is positive.\nAnswer: f**(-4381\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-180) - (-4)\/18. Let w = 1\/6 + d. What is the closest to 1 in -5, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 18, e: 2}. What is prob of sequence ey?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1020)\/306*(640\/100)\/16.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d + 3. Let c be m(0). Suppose 0 = -2*a - 4*w - 8, -8 = -c*w - 20. Suppose a*r - i - 13 = 3, -5*r + 41 = 4*i. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-37)*n\/(n*n\/(n\/(n*n**2*n)))*n*n**(-7)*(n*((n\/(n\/((n**(-1\/2)\/n)\/n)))\/n)\/n)**(-18\/11)*(n**(2\/3))**(-11) assuming n is positive.\nAnswer: n**(-5123\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + -1.15. Sort 0, -1\/6, c, 0.5 in decreasing order.\nAnswer: 0.5, 0, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = 3*h + 2*h, -2*h + 19 = -z. Let l = h + -5. Let u(w) = -w**3 - 7*w**2 - 7*w + 5. Calculate the smallest common multiple of l and u(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 2*b**2 + 0*b**2 + (14 - 7*b - 14)*(4*b + 0*b - 3*b) to the form z + v*b + h*b**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6005 - -3954. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118235386?\nAnswer: 2, 877, 67409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 1, v: 4, g: 1, l: 3}. Give prob of picking 1 g and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.06 (b) -1\/7 (c) -12443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 58, 324 in increasing order.\nAnswer: -3, -2, 58, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*s + 44563*s - 82429*s - 97253*s.\nAnswer: -136395*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -58\/7 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 5*r - 12 + r - 7. Let w be d(11). Solve 0*g = -w*g - 12, -4*g = -2*x + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 80*w - 11. Let s be m(0). Let l(c) = 18*c**3 - 6*c**2 - 5*c + 5. Let a(x) = 35*x**3 - 11*x**2 - 9*x + 9. Determine s*l(b) + 6*a(b).\nAnswer: 12*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 5876?\nAnswer: 64636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(((-16)\/56)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g. Let v be y(-1). Suppose -3*x = 1 - 4. Suppose 0 = -f + x. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m**2 + m - 1. Let x be a(1). What is the highest common divisor of x and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 18 = -8*c. Suppose -600 = -3*k + c*k. What is k rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3 + 53. Solve -3*r + g*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5650471 to 2 dps.\nAnswer: -2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -2*u**5\/15 - u**4\/3 + 3*u**2. What is the second derivative of l(o) wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f - 29. Let j be (320\/(-100))\/(4\/10). What is the units digit of m(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140699 * -1.015.\nAnswer: -142809.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 110643130.\nAnswer: 110643113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-20)\/80)\/((-15)\/168)*20\/32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (99\/21 - 3)\/((-114)\/(-578949)). Is 8707 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 78. Let y = f - 27.9. What is the nearest to 0.1 in 0.3, y, 31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 234, -1\/8 in descending order.\nAnswer: 234, 2.5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16182\/(-22475) + 10491\/(-325)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3040 or 3100?\nAnswer: 3040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -377939*f**3 - 10054*f**2 - 5027. Let a(k) = -451*k**3 - 12*k**2 - 6. Determine 5027*a(i) - 6*t(i).\nAnswer: 457*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, l: 6}. What is prob of sequence nn?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8445533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3, -10\/13, 0.3 in decreasing order.\nAnswer: 0.3, 2\/9, -10\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1. Let y(c) = -c**2 - 44*c + 541. Let i be y(-54). Let p(d) = -d**3. Give i*g(f) + 2*p(f).\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31008 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18733, -51, -19 in ascending order.\nAnswer: -18733, -51, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 2, -1, -165 in decreasing order.\nAnswer: 9, 2, -1, -2, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113080)\/3855)\/(12\/9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*t + 91. Let m = 77 - t. Let s be m\/(-4)*0 + 41. Calculate the highest common divisor of 369 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*s**2 - 39*s**2 - 113*s**2 to the form x*s + r*s**2 + m and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 376974 divided by -234\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -64. What is the nearest to -2\/13 in 0.4, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/2519 - 2527\/10076. What is the closest to 3 in g, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 4*q - 1. Let t(g) = -3*g**2 + 8*g - 2. Let x(w) = -3*t(w) + 5*u(w). Let y = 4 - 4. Let r(n) = -n + 0*n + y*n. What is 6*r(h) - x(h)?\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.54013 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2933 + -2522?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 9\/(-6))*(44 + -62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlaewow. What is prob of sequence awo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 256, 254, 252, 250, 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50172, -200656, -451448, -802548, -1253956, -1805672?\nAnswer: -2457696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*q + 3*g, -18*q = -15*q + g + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (3 - (-8)\/2). Let q(o) be the second derivative of -o**4\/12 - o**3 + 4*o**2 + 2*o. Let c be q(-7). Put n, 3, c in descending order.\nAnswer: n, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.09 + -11. Let k = 0.11 + r. Let q be (3\/(-4))\/(7\/(-4)). Which is the second smallest value? (a) k (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 + 341. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -151524 from 46.\nAnswer: 151570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14474, -12840, -11206?\n\"Answer: 1634*z - 16108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.020213 + 0.579787. Suppose a - 2*a = 18. What is the biggest value in g, a, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**3\/6 + 2*j**2 - 2*j. Let v be s(4). Let t(a) = 1 + v + 0 + a + 0*a. Determine t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 937235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-14)*10*37\/(-1665)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 6. What is y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -677, -698, -697, -656?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 0*u**3 + 17 - 8*u - 7 + 8*u**2. Let y be g(7). Let k(d) = 7*d**3 - 2*d + d**y + 1 + d. Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 9491?\nAnswer: -949.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22677 + -22677.5. Which is the fifth biggest value? (a) v (b) -5 (c) 2 (d) -0.66 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*d)*(-3*d + 3*d + d) - d**2 + 0*d**2 + 3*d**2)*(5 + 6 - 16).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-15300)\/(-216) - 22\/(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, 21413, 4 in increasing order.\nAnswer: 4, 356, 21413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -28 + 15 + -34?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 56*u - 3 = 59*u, -w + 2*u - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28612.2 * -0.15\nAnswer: 4291.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and 25\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372212 (base 12) in base 15?\nAnswer: 12a48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {a: 1, j: 1, p: 1, g: 2, c: 2, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o + 1. What is the third derivative of 2 - 2 + 43*m**o - 16*m**2 - 42*m**6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -72. Let q(o) be the first derivative of -o**3\/3 + 18*o - 2. Calculate q(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 + 4*b - 10. Let f = 10 - 17. Suppose -3*x - x - 2*v + 8 = 0, 2*v - 2 = -x. Let c(p) = 2*p**2 + p - 3. What is f*c(r) + x*n(r)?\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 319517 (base 15) to base 14\nAnswer: 45622c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005915828285 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 5*n + 0*n + n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + 6*(sqrt(304) + 0 + -1)*5 + -1)**2.\nAnswer: -7920*sqrt(19) + 274689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87613, 174953, 262293, 349633, 436973, 524313?\nAnswer: 611653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 178*f**3 + 4*f**2 + 244*f - 10. Let y(x) = 89*x**3 + 2*x**2 + 122*x - 6. Let t(m) = -3*r(m) + 5*y(m). Find the second derivative of t(o) wrt o.\nAnswer: -534*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880581 rounded to the nearest 1000?\nAnswer: 1881000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364807 - 237213. Let l = 127595.88091 - v. Let d = 1.88 - l. Round d to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000547286 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 32*o**2 + 2*o - 10. What is t(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/(4\/20). Suppose -2*a = 2*o - o - 1524, 0 = 5*o + 5*a - 7610. Let h be (o\/(-25))\/j - 4\/(-10). Calculate the highest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48901187 to the power of 1\/2, to the nearest integer?\nAnswer: 6993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -83*p**5\/60 + p**4\/6 + 7*p**3\/3 + 74*p**2. What is the second derivative of r(c) wrt c?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-12 - (-4 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 217790, 217530, 217090, 216464, 215646?\n\"Answer: -r**3 - 84*r**2 - r + 217876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502 < 6503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1566*(-23)\/828*-2\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3)*(-27)\/6. Let i(p) = -2*p**3 - 5*p - 4*p**2 + 6 - p**3 + 4*p**a. List the prime factors of i(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 6*(sqrt(78) - 1*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78) - sqrt(78))\/(-3*sqrt(6)*-1) - ((sqrt(52) + 5 - 1*sqrt(26)\/sqrt(2)) + 5)**2.\nAnswer: -113 - 64*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-750904)\/(-62580) - 12)\/((-28)\/420)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61778 is divided by 255.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2253 + 4632 - 2032)*(6*s - 3*s - 4*s) to the form y + d*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-18)\/(-4))\/(-3))\/((-3)\/40). Let r = 25 - s. Suppose 3*u - 2*u = -5*x + 24, -28 = -2*x - 5*u. Solve 2*m + 11 = r*z - 2, 5*z - 19 = -x*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55429?\nAnswer: 11, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -132. What is the greatest common divisor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-13)*w)\/w*w)\/(w*w*w\/(w*w**(-2\/37)*w)*w*w*w))\/(w*(w\/w**(1\/6))\/w*w)**(-3\/16) assuming w is positive.\nAnswer: w**(-18601\/1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -660578 - -660638.99856. Let g = z + -61. Round g to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364826890 and 1370.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 - 7*q**4\/12 + 3*q**3\/2 + 3*q**2 + 18*q. What is h(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let b(l) = -l**2 - 6*l + 5. Let p(w) = b(w) - 4*j(w). Let t be p(12). Let v = 98 + t. Round v to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let y(n) = -2 - n**2 + 10*n - 1 - 5*n. Give y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**3\/39 - 6*s**2\/13 + 18*s\/13 + 3. Find b, given that y(b) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*12\/18*(-1)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 370 + -316. What is the highest common factor of 378 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -210.789. Let m = w - 0.051. Let d = -0.84 - m. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - -34 - 18) + 33\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 + 422. Let a = j - -7. Suppose -6*h + h = -a. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.639037 centuries to months.\nAnswer: 11566.8444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 1))*1740\/(-2088)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -2341?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 131 - 50. Suppose -29*w - 15 = -24*w. Let y be w\/18*3*-4 + 133. What is the highest common factor of y and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 36 = -3*n - t, t = -9871*n + 9865*n + 56 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -485260288 times 5?\nAnswer: -2426301440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -669903, 4, 4\/3 in decreasing order.\nAnswer: 4, 4\/3, -669903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 147514710.\nAnswer: 590058840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12184 (base 9) to base 16\nAnswer: -1ff0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5477*t**2 + 3198*t**2 - 8711*t**2 - 3617*t**2.\nAnswer: -14607*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 12. Suppose f + 33 = s*f. Suppose -9*g = -f*g + 4. Do 1\/2 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1461*g**2*k*x + 8*g**2*k - 2*g*x - 2*k*x - 650*k wrt x?\nAnswer: 1461*g**2*k - 2*g - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 192 = 7*z. Let -z*a - a - a**3 + 12*a - 2*a = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - h = -0*m - 9, -15 = -3*m + 3*h. Is ((-322)\/49)\/((-1)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3735\/10)\/(8028\/(-892)).\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. Suppose i = -2*z + u - 15, -5*z - 19 - 23 = 2*u. Let j be (-12)\/z*(-6)\/15. Which is the third biggest value? (a) -0.09 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 50 = -0*q. Let n = q + -6. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 133*x**2 + 31*x + 73. List the prime factors of i(-3).\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8277ml to litres.\nAnswer: 0.0048277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*g + 57*g + 67*g + 29*g**2 + 8 in the form c*g + z*g**2 + w and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p + 45. Let y be u(1). Calculate the greatest common divisor of y and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -5 + 13 - (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62236400*q - 19931057 with respect to q.\nAnswer: 62236400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1993309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10975672 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2\/4)\/(17\/340) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -706a (base 11) in base 16?\nAnswer: -24b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174538.\nAnswer: 2, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.4*-7582314.\nAnswer: 40944495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 17*x - n + 16, -5*x + 2*n = 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57936\/213 + -279)*(-148)\/(-14).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 40328 = 13*l + 40018, 2*m + l = 145 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a*a\/((a\/(a\/a**(-5))*a)\/a))\/((a**(1\/3)\/a)\/(a\/a**(1\/5))))**(-2\/61) assuming a is positive.\nAnswer: a**(-224\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401766 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2287 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = -6*d. Let k be ((-600)\/4)\/(15\/(-10)). Suppose u - 6*u + k = 0. What is the greatest common factor of d and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/8)\/((-9)\/(-24)). Let m(g) = 2*g + 28. Let y be m(z). Let t(k) = -k**2 + 18. Is t(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67725757 - 1?\nAnswer: -67725760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - r**2 - r + 1. Let y be t(-1). Is y + (-2 - 9) + 9764 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 w, and 1 t when four letters picked without replacement from {t: 3, u: 6, r: 1, w: 3, z: 3}.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - (-128)\/9. Let s be ((-444)\/18)\/(w\/(-6) + 3). Is (-6)\/(1 - 4) - s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.4 in -0.1, 0.4, -3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7964 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ntttttnt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*w = m + 8, 0 = -2*w + 8. Let g be (-3)\/9 + (-16)\/(-3). Solve 4*t + 4 = m, g*k - t + 13 = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64.83181194 - -0.13397806. Let m = x + 0.01421. Let o = m + -64. What is o rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 7*x**2 - x + 11. What are the prime factors of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 310*h**2 + 7*h. Let u(x) = 24*x - 2. Let n(i) = -133*i + 11. Let w(l) = -2*n(l) - 11*u(l). Calculate w(s(p)).\nAnswer: 620*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 + k + 1. Let d be 2 + (25\/5)\/5. Suppose u - 3*u - 94 = -4*p, 68 = d*p - u. What is the lowest common multiple of p and q(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w**3 - 20*w**2 - 2386*w + 184. What is c(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128357964 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 10. Let n = -6 - 2. Let o be d(n). Let m be (-2)\/o*(-7 + -2). Solve -m*q = -5*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*sqrt(2816)*6 + -2)**2.\nAnswer: 5760*sqrt(11) + 2534436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 - 11*u**4\/8 - 19*u**2 + 19. Let m(y) = -y. Give d(m(o)).\nAnswer: -o**2 + 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*m - 99*m + 1862 = 51*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 + 3*x**2 - 3*x - 4. Let k(s) = -4 + 2 - 1 + 4*s**2 + 6*s**3 - 1 - 4*s. Let o(u) = 5*h(u) - 4*k(u). Determine o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*x = -135, 123 = 4*f + 2*x - 135. Suppose -3*y - f = -330. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2859\/217 + 92\/7. Sort 1\/12, 0, i in decreasing order.\nAnswer: 1\/12, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 1040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12.23. Let i = t + 0.103. Round i to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - q - 27, w - 24*q + 21*q = -3. What is the smallest common multiple of 1 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - (39 - 73)) + 1 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 + 10*s - 23. Let l be n(6). Suppose -4*j - l = -5*d, 2*d + j + 2 - 22 = 0. Suppose 0 = d*z - 31 - 257. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80371 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {s: 1, c: 5, v: 1, k: 1, x: 2, l: 3}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.4 (c) 27 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77053 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1 - 0\/2). Let w be (1 - 11)\/(-1 - u). Solve 6*f + 6 = f + 4*s, w*s + 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-564)\/28)\/(76\/7980*15)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63235 is divided by 15771.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -7*o + 15. Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1137148?\nAnswer: 6822888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (-490)\/2)*2\/6. Let s = 96 - d. Solve -3*o + z + 7 = 0, 3*o - z = -2*o + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1270, 9970, 33540, 79414, 155026, 267810, 425200, 634630?\n\"Answer: 1239*w**3 + w**2 + 24*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626694 is divided by 104447?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/(24\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*x - 34*x - 32. Solve -12*i = -x*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = t. Suppose 5*a + 31 = 5*r + 81, r = -2*a - 10. Let d be (-3)\/6 - (4 - (-305)\/r). Solve -6 + d = -t*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.16, -2486 in increasing order.\nAnswer: -2486, 0.16, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 164 = -2*l, 3*l = 5*s - 54 - 152. What is the remainder when 86 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*y + 165*y + 144 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 196 = -164. Let p be ((-3)\/(-10))\/(a\/52825). Let b = 132 + p. Is 1 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4 = 3*n - h, 0 = 2*n - 3*h - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -7\/12*x**5 - 115\/3*x**3 + x**2 + 0*x + 815\/24*x**4 + 9. Factor q(r).\nAnswer: -5*(r - 23)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -592 or -595?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 - 5*t**2\/2 + 19*t\/8.\nAnswer: t*(t - 19)*(t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 11329 - 2*s**2 + 2*s**2 + 11315 + 7*s. Give z(-12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:32 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 741\/(-1976)*(-14)\/(-3).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6687, 6695, 6707, 6723?\n\"Answer: 2*j**2 + 2*j + 6683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 145\/45 - (-145)\/(-45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/51 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 8. Suppose 4*d = g*p + 2 - 10, 4*p - 16 = -3*d. Factor 0*q + d + 3\/2*q**4 + q**2 + 5\/2*q**3.\nAnswer: q**2*(q + 1)*(3*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 503.59 + -506. Let z = -0.41 - c. What is the third smallest value in z, 3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2. Let a(p) = 1305160*p. Give x(a(b)).\nAnswer: -5110327876800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18*(-315)\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1666329, -3332668, -4999007, -6665346?\nAnswer: -8331685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -4, 50 in descending order.\nAnswer: 50, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 9\/(-3) + -1. Suppose l - 3*u - 26 = -4*u, -2*l = b*u - 61. What is the remainder when 89 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/140 + 33*m**4\/28 + 432*m**3\/7 + 3456*m**2\/7 + 792*m - 1. Solve y(t) = 0 for t.\nAnswer: -48, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**2 + (-d - 1 + 1)*(2*d - 3*d + 2*d) + (3*d - 2*d - 3*d)*(6*d + d + 0*d))*(d - d - d).\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62544002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34205?\nAnswer: 5, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 33. Let n(g) = 13*g - 88. Let y(p) = -3*n(p) - 8*z(p). Let l(k) be the second derivative of -25*k**4\/12 - 8*k. Give y(l(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -329 (base 11) to base 14.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 100. Let p be (-10)\/(-15) - (-4)\/((-24)\/r). Suppose 0 = 4*x - p*x + 4*u + 771, 2 = 2*u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**7\/126 - j**6\/90 - 29*j**5\/30 + 28*j**4\/9 + 90*j - 2. Solve h(o) = 0.\nAnswer: -8, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -5.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - 4*c + c**3 - 4*c**2 - 3. Let f be y(-2). What are the prime factors of (-1)\/f + (-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 2*l**4\/3 + l**3\/3 + 1178*l**2. Let b(j) = -2*j**2 + 2*j**2 + 2*j**2. Determine b(t(i)).\nAnswer: 512*i**2 + 128*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 9, d: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*w + 13 = -6*i, -w - 5 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -5*p**2 + 1\/24*p**4 + 0 + 0*p - 1\/60*p**5 + 7\/6*p**3. What is k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -10*t**4\/3 - 1139*t**3\/6 + 203*t**2 - t\/6 - 29\/3 = 0.\nAnswer: -58, -1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5040.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -109*x - 558 - 1872 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2 - 4 + 1. Let k(l) = -l**2 + 6*l - 27. Let m(s) = -s**2 + 11*s - 50. Let a(w) = 11*k(w) - 6*m(w). What is -a(r) - 3*x(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2) + 252\/2. Let k be 6\/45*m\/82. Let l = -14\/41 + k. Which is the nearest to 0? (a) -5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6, 0 = 2*m - 5*c - 86 + 92. Solve -5*v + 25 = 0, -m*d - 3*v = -7 - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2 - 3 - 3*w - 5 + 5*w. Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139.29 + -139.19. Which is the fifth smallest value? (a) -0.2 (b) 0.06 (c) h (d) -2\/9 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 - 5 - (1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*f - 8, h = -5*f + 18 - 19. Sort f, 2\/9, 37\/18 in decreasing order.\nAnswer: 37\/18, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - o = -9, 2*g - 228*o = 6*g - 226*o + 48 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -914, -797, -600, -323, 34?\n\"Answer: 40*t**2 - 3*t - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = -2*s. Let d(m) = m**2 - 3*m - 3. Let y be d(s). Suppose -218365 = y*n + 271635. What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 43*v**2 + 108*v + 743. Give b(-45).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 107\/2. Suppose -48*u + 50*u + 5*o = 227, -5*u + 5*o = -550. Let p = u - l. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 103. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/5 - 64*n**2\/5 + 166*n\/5 + 232\/5 = 0. What is n?\nAnswer: -1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 - (-5 + -4)) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 76?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -29*v**2 + 1459*v + 83. Calculate h(50).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5015*j**2 - 25*j + 1. What is the hundreds digit of x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/4 + 273999*g + 25025150667 = 0. What is g?\nAnswer: -182666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*k = 26, 4*k + 11 = 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1397490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 656*p**3 + 10*p**2 + 40*p?\nAnswer: 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 - 29*f**2 + 6*f + 53. Calculate t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862783011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 9*b - 112. Suppose 4*y = b + 64. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38249507683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*x - 9 = -5*k, 17 = 5*k - 3*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 225 = 10*c. Solve c = -5*i + 5*l, 5*i = -34*l + 33*l - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45827420?\nAnswer: 2, 5, 761, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and -43\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 25*f - 27. What is g(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7321?\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65970\/240 - ((-45)\/(-24) + -2). Calculate the highest common factor of k and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 710, 757, 12 in descending order.\nAnswer: 757, 710, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/12)\/(1\/(-3))*12. Suppose -v + 3*b - 4 = -3, b = 2*v + 7. Let n = y + v. Solve 2*s = -k + 1, -4*k + 4*s + 18 = -n*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -1.868.\nAnswer: -0.13076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318625315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-819)\/(-13))\/7)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192325 rounded to the nearest 1000?\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -15*t + 4. Let j(f) = -f**2 - 5*f + 2. Let w be j(-4). Suppose t*z - w*z = -8. Solve 0 = 2*u - l - 1 - z, 5*l = 3*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:45 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1556 + 0.15. Round y to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 870285*u - 870280 = 0.\nAnswer: -174056, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4626\/(-12))\/((-2)\/8). Suppose -q + 679 = -4*f, -4*f + s = 2*q + 184. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33451828 divided by -4\nAnswer: 8362957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-19))**(-9) assuming r is positive.\nAnswer: r**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16474272*a**3*h*o**2 - 3*a**2*h*o**2 - 255*a**2*h*o - 502*a**2*h wrt a?\nAnswer: -98845632*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/168 + 2\/3. Let k = -1 + 6. Let w = 4 - k. What is the closest to g in 0.2, -2\/19, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -1 (b) 5\/2 (c) -3 (d) -4 (e) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 129. Calculate the remainder when z is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose -i*j = -3*l - 4*j + 22041, -j = -3*l + 22041. Let u = l + -2866. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 0, 0 = -4*s + s + 2*b + 2822. What is the derivative of -169*g**2 - 474 + s - 470 wrt g?\nAnswer: -338*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 28*x = 24*x - 548, -3*x = -5*c + 928. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 50. Suppose -5*w + t*w + 2025 = 0. List the prime factors of (1\/(-3))\/(9\/w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*3*sqrt(76) + -3*sqrt(76)*5)\/(sqrt(24)\/(sqrt(6)*-1) - (sqrt(324) + 1*sqrt(324))).\nAnswer: -2 - 3*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 - 8 = 0, -c + 2 = -2*o. Put 17, c, -5, -1 in ascending order.\nAnswer: -5, -1, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z)*(5*z - 3*z + 0*z) + 6*z - 6*z - 8*z**2 - 7*z**2 + 7*z**2 - 9*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/186 and -1\/108?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 30 = 0. Suppose -4*k + 0*c = 2*c + 2, 0 = 5*k - 4*c - 30. Let s be (-2)\/(-10) + k\/d. Sort 0.5, s, 5 in descending order.\nAnswer: 5, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.4, 0.5, 2\/11, -35, 0.1 in decreasing order.\nAnswer: 0.5, 2\/11, 0.1, -15.4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596792 + -7.9.\nAnswer: 596784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 + 3. Let q be c(6). Suppose 14*o**4 + 2*o**3 + 15*o**5 + 2*o**q - 16*o**5 - 17*o**5 = 0. Calculate o.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -46, -32?\n\"Answer: 14*s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, -1, 3\/182, -2\/3, -2, -422?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -2*s - 1\/315*s**7 + 155\/3*s**4 + 31\/90*s**6 - 1021\/90*s**5 - 62*s**2 + 0 - 100*s**3. Find i, given that k(i) = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.059? (a) -1\/3 (b) -0.1 (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -38. Let u = -87 + 148. Let j = u - g. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9950681, 9950677, 9950661, 9950627, 9950569?\n\"Answer: -a**3 + 3*a + 9950679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c - 7*c)*(6*c**2 - 4*c**2 + 0*c**2) - 2*c**3 + 5*c**3 - 2*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 11971406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*a - 1256 - 2300 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3\/5 - 49152*r**2\/5 + 137680884*r\/5 + 16706458008 = 0. What is r?\nAnswer: -510, 6399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 3, u: 2, w: 2, k: 2, j: 2}. Give prob of sequence jw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5082155 times 14\nAnswer: 71150170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 4304331*h - 4*h**3 - 4302726*h + 8607057*h + 0*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11019 or -8733?\nAnswer: -11019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - b**3 + b**2 + (-b**3 + 2 - 2)*(3 - 2 - 3) + (8511*b - 8511*b + 5*b**2)*(-3 - 3*b + 3).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q - 591*q - 21969 - 43850 = 0 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-5) - (2 + 12). Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 130. Let w(x) = -2*x**2 + x + 272. Let z be w(i). Calculate the highest common divisor of 51 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1857\/162484 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10*o + 13. Suppose 0*g = -3*g - 33. Let w be z(g). Factor -5*c**3 + 20 + 2*c**2 + 8*c**w + 15*c**2 - 40*c.\nAnswer: -5*(c - 2)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, k: 1}. What is prob of sequence zz?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*w - 79*w - 3*d + 10, 5*w = 3*d - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(720) + -2 + sqrt(720)) - (sqrt(720) + sqrt(720) + 3*sqrt(720)*-1))**2.\nAnswer: -1344*sqrt(5) + 35344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide (15033084\/(-2562))\/(1 + (-18)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 8*u**2 + u - 2. Suppose 4*g = 8*g - 36. Suppose 3*p + n = 15 + g, 0 = 3*p + 3*n - 24. Let k be x(p). Let i(w) = w**2 - 7*w. What is i(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f - 3*m + 6, f = m - 2. Put -4, f, -1, -6 in ascending order.\nAnswer: -6, -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/4 - (-1)\/(-2). Let j = 6 + u. Does 5 divide 2 + 0 - (-1 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331212032 (base 4) in base 15?\nAnswer: 4eb52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 345*b**3 + 1 - 3*b - 1.\nAnswer: 345*b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2752 and 36?\nAnswer: 24768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 735?\nAnswer: -116\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 6*z = 4*z - 5*t + 22, -26*z + t = -18*z - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 2, v: 1}. Give prob of sequence fvwf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87e2dd (base 15) in base 12?\nAnswer: 2204517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7853 = -2*b, -6*b - 3*s + 3949 = -5*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 7*b**2 - 8*b**3)*(2 + 0 + 0) + 3*b**3 - 4*b**3 - 3*b**3.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-4)\/(-6)*-3. Solve r*h = -c + 19, 3*h = 5*c - c + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 2*x, 2*x - x + 2*w = -21. Let h(n) = -n**2 - 10*n + 29. Let k(u) = -10*u**2 - 100*u + 300. Let v(o) = -21*h(o) + 2*k(o). Determine v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504398 is divided by 263?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/21 or -5896?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41040 = -282*r + 262*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2136*h**2 - 66*h. Let f be k(1). What is the greatest common divisor of f and 720?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5003464115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3063370*j**2 + 8204976.\nAnswer: 6126740*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-5))\/(-1 - -2). Suppose h + 5*y - 47 = g, -5*h = 5*y - 407 + 112. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 997441, 997424, 997407, 997390?\nAnswer: 997373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 3*i**2 + i + 6. What is the tens digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1417773907 + -1417774008.99999536. Let m = 0.1 + -102.1. Let q = h - m. Round q to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68782 is divided by 3897.\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from kggllcgcgggklkl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 + 1801*q**2 - 13103 wrt q.\nAnswer: 3*q**2 + 3602*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-439)\/41266)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/4 + 75*r**2\/4 + 20*r.\nAnswer: -5*r*(r - 16)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c. Suppose -3*y + 10 = -4*h + 33, 2*y + 12 = h. Let g(k) = -k. Determine y*g(f) - x(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 1 = -7. Sort 4, a, 2, 0.\nAnswer: 0, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 3, 4 in decreasing order.\nAnswer: 4, 3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 14*s**2 + 4*s + 7. Let v(f) = f**3 - 13*f**2 - 3*f - 8. Let m(r) = -5*v(r) - 4*w(r). Let z be m(9). Solve -20 = z*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 53*o - 23. Determine v(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 0)*(3 + 1 - 5) + (3 - 2 - 3)*(1 - 2 + 5))*(3*l - 2*l - 3*l) + (0*l + 0*l + 2*l)*(-1 - 3 + 1) to q*l + i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/143 or 7?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-13 - -7 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:30 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a161 (base 15) in base 11?\nAnswer: -2365a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -6, 59, -2 in descending order.\nAnswer: 59, 5, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12)*187\/17)\/((-33)\/(-198)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87329024 divided by -18688.\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 - (-18180959888)\/168. What is o rounded to the nearest 1000000?\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 8) to base 2\nAnswer: 1001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 293?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 50445.7.\nAnswer: -50445.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 - 10782099*d**2 - 38751564640131*d\/2 - 620013993421872.\nAnswer: -3*(d + 32)*(d + 3594017)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.17 (b) -3 (c) -2 (d) 0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 1. Let y(l) = 2*l - 5. Let m(s) = 7*s - 31. Let i(j) = m(j) - 6*y(j). Calculate -4*i(h) - 9*q(h).\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*b - 5*b - 223, -4*b - 880 = -4*z. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 38 - 128 = -4*o, o = -3*g + 28. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 27*v + 52. What are the prime factors of i(19)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4296 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 3*s + 2. Let d be l(-3). Suppose d*o + 19 = 3*o. Let g = o - 13. Solve -h - h = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/33)\/(11\/(-22693)). Let b = 187 - i. Sort b, 5, 0.4, 2\/9 in ascending order.\nAnswer: b, 2\/9, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53345 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3440.4 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.71 - 339485651.\nAnswer: -339485652.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 3:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5883 and 3975.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from tttdtdggtgttlottgtd?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7971 to the nearest 100.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*s + 8 = 0, -o - 3*s = 4 - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/321? (a) -3\/7 (b) -1 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -6709583\nAnswer: 33547915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193028774?\nAnswer: 2, 96514387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -5*k - 5*c + c, -3*c + 100 = k. Suppose -k + 79 = -6*q. Solve -q*w = -4*a - 2, w + 1 = -0*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 12*d**2 + 4705*d + 41862. Determine r(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -187. Suppose 0 = 5*a - c*v + 5*v - 364, 0 = 2*a + 5*v - 154. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 15. Let o be t(2). Suppose 3 - o = -4*a + u, -2*a = -3*u. Solve a*y - 3*n + 9 = 0, -5*n + 0*n - 25 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2249 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/10 - (-13 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 11}. Give prob of sequence ey.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566, -602, -640, -680, -722, -766?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 100. Let z = 37 + t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41321 and 41330 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 14 + 14 - 6*m. Suppose 2*l - p = -16, -2*l = 2*l - 5*p + 38. Let h(k) = -13*k. Give l*s(y) + 5*h(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3231 + 0?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 6 + 14. Suppose m - 3*u + 810 = -i*u, -1638 = 2*m - 4*u. Let y = 446 - m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-25))\/(8\/40).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 + 5*i**3\/6 - 5*i**2 - 9*i. Let m be b(-7). Solve 5*w - 3*t = -16, m*w = -4*t + 3*t - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 53*z + 41*z - 2*w - 171 = 0, -5*z - 5*w = 90 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829988?\nAnswer: 2, 3, 71, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 1. Suppose 7*b + 84 = 19*b. Give z(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020401 (base 5) to base 16.\nAnswer: 13674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 3. Let l be n(9). Let j = 13 - 8. Let a(w) = w**2 - 5*w + 2. Let t be a(j). Solve l = -t*k + 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -316*c**4 + 330*c**4 - 438*c**4 - c**4 - 2 + 2 + (3*c**3 + c**3 - 2*c**3)*(2*c - 6*c + 3*c).\nAnswer: -427*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 29. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 234*a**2 + 54*a - 8.\nAnswer: 2*(3*a + 1)*(39*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 875 - 875.1. Sort p, -2\/21, -2.6, -4\/3 in descending order.\nAnswer: -2\/21, p, -4\/3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000592 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*g - 32, c - 3*g - 2*g + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.340818 years to centuries.\nAnswer: 0.02340818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x**2 + 5*x. Let b(y) = -415*y + 415*y - 2*y**2. Calculate g(b(p)).\nAnswer: -64*p**4 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10377517\/48973760 + -462\/13913. Let w = 1\/320 + r. Let a(x) = -x**3 - 5*x**2 + 5*x - 7. Let o be a(-6). Is o bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -396 - 410 - 8090*c + 806 to t*c + y and give t.\nAnswer: -8090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -721*w. Let l(x) be the second derivative of -x**3\/6 + 320*x. What is l(u(d))?\nAnswer: 721*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1259*h**2. Let c(t) = -2*t. Determine c(y(v)).\nAnswer: -2518*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -3*q + 8*b + 4382, -3*q + 4375 = -5*b. What is the remainder when q is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23303)\/(-93212))\/(6\/(-1)*4\/96*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4430 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 - 9*n**2 - 26 + (0 + 1 + 0)*(2*n**2 - 2*n**2 + n**2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 4) + 1*3. Let b = -5 - -6. What are the prime factors of b + m - 3 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 13*i + 17. Let g be q(12). Suppose 4 = g*l - 81. Calculate the greatest common factor of 51 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*o = -152, k - 5*o = 28 - 7. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 - 143141*s**3 + 7*s**2 + 7820797*s wrt s.\nAnswer: 48*s**2 - 858846*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440223 < 2440223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 17*u + 45. Suppose 9 = 3*p, 3*w - p = 7*w - 119. Calculate the remainder when w is divided by l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1894 - -3564. What is s rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -48*n - 16. Let b(o) = 1. Let x(q) = -13*q - 2. Let u(k) = -2*b(k) + x(k). Let y(s) = -6*f(s) + 22*u(s). What is y(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6)**50 assuming h is positive.\nAnswer: h**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1137 - -0.1963. Let j = 0 + -1. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/2046*31*1*2*-3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -11. What is the lowest common multiple of 25 and d?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 2\/5 (c) -90 (d) 5 (e) 4 (f) -5 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.8391059 to zero dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*6\/(-36)*(-12)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398\/3239 + -4\/41. Let a = b - -391\/158. Which is bigger: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -213*d**5 + d**4\/2 + 12*d**2 - 6*d + 538. Find the second derivative of o(y) wrt y.\nAnswer: -12780*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-75) - 32\/120\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 2. Let y = j + -8. Solve 4*t = t - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 32*p + 9. Let o(l) = -8*l + 2. Suppose -5*b - 4*i + 2*i = -86, b + 4*i - 10 = 0. Let a(m) = b*o(m) - 4*u(m). Find z, given that a(z) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*p - 356 + 356)*(-3*p**2 + p**2 + 3*p**2) as u*p + t*p**3 + y*p**2 + i and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 490495760*k.\nAnswer: -5*k*(k + 98099152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -683 + 727. Suppose -37*n - 623 = -d*n. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c - 2*c. Suppose -5*h - 10 = -a, a - h - 4 = -2*h. Suppose -a*v + c*v = -2. Solve 0 = s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8306136?\nAnswer: 2, 3, 115363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-2*m + 13*m - m)*(-1 - 3 + 3) - 12 + 12 - 9*m.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 764, 718, 670, 620, 568, 514, 458?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 482*k - 10 - 8 + 7 + 4 + 8 to m + h*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17894*p + 42879*p - 46969 + 46969.\nAnswer: 60773*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*u + 356, u - 155 = -2*v - 2*u. What is the remainder when v is divided by ((-9)\/(-15))\/(74\/(-25) + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7 + 2*f + f**3 - 5*f**2 + f**2 - f**2. Let t be d(5). Let q(b) = -1 + t*b + 1. Let j(z) = z. Determine j(q(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(-20*(-11)\/132)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -x - 21, 4*x - 6*u - 117 = -165 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let w(m) = 239*m**2 + 255*m**2 + 58*m**2 + 765*m**2. Give w(j(c)).\nAnswer: 5268*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 + 225. Let n = u + -9. Sort 0, -62, n in ascending order.\nAnswer: -62, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h + 4. Let u = 24 - h. Suppose u = z - 0*z. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000606667 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1872) + -1)) + (sqrt(13) - (sqrt(1872) + 1))**2 + ((-2*sqrt(1300) - sqrt(1300))*-5)**2 + (sqrt(1300) + -3*2*sqrt(1300))**2.\nAnswer: 11*sqrt(13) + 326575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 61249938.6967?\nAnswer: -61249943.6967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 - -c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 177?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43859 - 43859.78526. Round a to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1393 and 70.\nAnswer: 13930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -19. Let m be ((-1)\/(-2))\/(h\/(-36)). Suppose -5*n - 71 = f - m*f, 0 = 5*f + 4*n - 95. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2460 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**2 + y. Let w be c(-1). Suppose -u = 2*u - w. Solve -7 - 15 = 4*z + 2*g, -u*g = -z + 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 1\/41 (c) 0.9 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*13.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7082 equal to -7083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 56504080.6 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 97. Put 0.4, s, 6, -0.1 in descending order.\nAnswer: 6, s, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l + 57. Let w = l + -10. What is the remainder when 26 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4074.453, -0.47, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -255*u + 64103. Calculate t(252).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5\/6, 208, 0.3, 2\/707, 1 in ascending order.\nAnswer: -5, 2\/707, 0.3, 5\/6, 1, 3, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*c - 5*r, -5*c - 6 = -2*r + 3. Let i = 3 - c. Calculate the remainder when 23 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -0.3, 59, 0.1, 579, -4 in increasing order.\nAnswer: -4, -0.3, 0.1, 1, 4, 59, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2, -2\/3, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13809 - -13600.97. What is y rounded to zero decimal places?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Let g = 4 - a. Let t = -5.6 + 6. Sort 2\/11, g, t in ascending order.\nAnswer: 2\/11, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 1. Let p(t) = -6. Let r(k) = 5. Let j(n) = 4*p(n) + 5*r(n). Let i(z) = -5 + 5171*z - 5172*z + 6. What is o*j(w) + i(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -395*u**9\/504 + u**5\/20 + 58*u**3\/3 - 85*u**2 + 3*u. What is the third derivative of f(a) wrt a?\nAnswer: -47400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 10*a - 6 + 53*a to d + r*a and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*h - 11, 9*c - 5*c + 4*h = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3629.6009 + 10.6.\nAnswer: 3640.2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + x - x**2 - 4*x**2. Let g(c) = -5*c. Let f(s) = -4*s. Let k(t) = 4*f(t) - 3*g(t). What is a(k(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(36)*-1)\/((sqrt(336)*-1)\/sqrt(7))*-1.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 680*x**3 - 275 + 720*x**3 - 5718 - 28*x - 1328*x**3 with respect to x.\nAnswer: 216*x**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/95 and 161\/307290.\nAnswer: 5838510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from rnjsdbdrs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1570\/11 - -306128\/2145. Is m greater than or equal to -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-56)*16\/6. Let q(d) = 4*d**2 - 4*d - 6. Let g be q(-4). Is (4 - g)\/(2\/n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1341 - 1309. Let d be 3\/((-12)\/(-4))*-1. What is the smallest value in 2\/3, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*t + 3*t - 11, 2*k - 7 = -t. Solve -k*d - 3 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*5*-2)\/((sqrt(2904)*2)\/sqrt(2)).\nAnswer: -5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 2*o, 2*m = -2*o + 6*m - 20. Solve p + o*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)*b**22\/b*(b**(-5\/12))**(3\/14))**50 assuming b is positive.\nAnswer: b**(13875\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-18))\/((-2)\/(-15)). Suppose -3*x = 5*y - 4*x - 53, t*x = 4*y - 55. What is the least common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*h + 5*m, -14*h + 19*h + 5*m - 20 = 0. Solve 5*n - 25 = 0, h*l = 4*l - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from ootopprtgrrlttr?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 22 = -r - 0*r, 5*r = -4*d - 34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -48. Let m be (-1)\/d + 3 + 199\/5. Let o(l) = -62*l - 9. Let a be o(-5). Calculate the greatest common factor of a and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-5) - 1739892396\/330. What is n rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.196 (b) -31 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 468 - 73*x**2 - 105*x + 13*x**2 + 57*x**2.\nAnswer: -3*(x - 4)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 65034.68 centuries?\nAnswer: 6503468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 + 7*p + 6. Let g be n(-6). Let u be 5*(g + 0 + -1). Let m(d) = 3*d. Let o be m(-2). Do o and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = u - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -8.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*i + 16*i - 9*i as f + t*i and give t.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/25 + -1)*(-75)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -62.0928213+-5\nAnswer: -67.0928213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.34584324 and -0.2?\nAnswer: 1.54584324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/56*(-12)\/(-10). What is the second smallest value in 5, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from uuuduud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-56))\/((-39)\/(-26))*((-840)\/(-25))\/(-7)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 15. What is the third derivative of 5*t - 5*t**2 + t**3 - y*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0976 in -3\/7, -3\/8, 6, -3\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-21)\/(-3) + -2). Suppose -4*v = -n - m, 3*v + 5*n = -0*v + 13. What is the units digit of 8\/v*(-9)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:27 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2. Let h(b) be the third derivative of -b**4\/4 + 13*b**3\/6 - b**2 - 109. Calculate h(y(t)).\nAnswer: -60*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2385 + 2385. Solve l = 2*w - 5*u + 20, -4*w - 11*u + 16 = -7*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let h be (-4)\/(-14)*(1 + 0). What is the nearest to 0 in h, q, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -149\/6 (c) -6 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(500).\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 613, 1259, 2175, 3451, 5177, 7443, 10339?\nAnswer: 13955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7934701\/348 + -22801. What is the common denominator of r and -103\/276?\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*y - 4 = 0, -11*h + 6 = -7*h - 2*y. What is the derivative of 30 - 57 + h*j + 15 + 2*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -j + 893, 5*j - 5*q = -335 + 4725. What are the prime factors of j?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -4.7. What is the smallest value in o, -0.4, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 17490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*t. Suppose v + 2*s - 4*s = 43, 2*v - 5*s - 83 = 0. Let m = -16 + v. Calculate the highest common divisor of t and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -408 - 633196588.\nAnswer: -633196996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/2 - 1617*w\/2 - 198058 = 0. What is w?\nAnswer: -1316, -301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 508981 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 6*r + 11. Determine t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.8259 millimeters to micrometers.\nAnswer: 8825.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 + 254*l**3\/5 - 21672*l**2\/5 + 127008*l - 1185408\/5.\nAnswer: -(l - 84)**3*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30005122 (base 6) to base 12\nAnswer: -3467a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let b(a) = -a**3 - a**2. Let j be b(r). Suppose -3*s - 18 = -o, j*s + 33 = o + 2*s. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 308*g - 6909.\nAnswer: (g - 21)*(g + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*sqrt(10)\/(sqrt(10)\/sqrt(5)))**2 + ((-4*sqrt(225) - sqrt(25)) + sqrt(25))\/(sqrt(5) + sqrt(80) - sqrt(5)).\nAnswer: -11*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -43.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 204553\/(-6934) - 42*-1\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)*(h**(4\/3)\/h*h)\/h*(h\/(h\/((h**(5\/6)*h)\/h)))\/h*h**(-3\/5)*h assuming h is positive.\nAnswer: h**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -625*t + 44. What are the prime factors of m(-1)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x + 1626 = 0, -4*w + 6514 = -2*x - x. Suppose 0 = -5*z - 4*g + 1612, -6*z + 5*g = -z - w. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 49 = -19. Which is the second smallest value? (a) m (b) -2 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 + 7 = 0. Let q(f) = -3*f - 23. Let a(r) = -9*r - 16. Let u(t) = -4*t - 8. Let y(z) = 3*a(z) - 7*u(z). Let x(k) = i*q(k) + 17*y(k). Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47034 and -31?\nAnswer: -1458054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - 0*(2 + -1). Suppose 2 = 4*d - 3*d. Let h be (-17)\/(-4) + 1\/(-4). Solve -d*u + h = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/21)\/b)**(-1\/6) assuming b is positive.\nAnswer: b**(23\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915195988 to the nearest integer?\nAnswer: 53993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623 + 3158 = 845*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*p - 3*p + 34 = 0, 2*p = 4*b - 20. Suppose -b*g + 200 = -3*g. Suppose 3*k - k - g = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose k*y = 4*y. Suppose 4 + y = m. Solve 3*a + 2 = 4*x + 12, -3*x - 4 = -m*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.7804*0.1\nAnswer: 2.97804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 2*h**2 + 2*h - 3. Let d(a) = -4*a**3 + 3*a**2 - 3*a + 3. Calculate -2*d(t) - 3*v(t).\nAnswer: -t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l - 14. Let q = 9 + 1. Calculate the remainder when q is divided by a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(209) - 3*sqrt(209)))\/(1*3*sqrt(704) - sqrt(704)).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16551.79ug to kilograms.\nAnswer: 0.00001655179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -1183.44.\nAnswer: 177.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -3. Let n(h) = 9 + 5 + 15*h - 1 - 11*h. Let g be n(-4). Which is the closest to -4? (a) 2 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 + 1. Sort 3, 2, -5, q in increasing order.\nAnswer: -5, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -9 + 7)\/(9\/908). Let u = 303 - s. Which is the nearest to 1\/4? (a) u (b) 1 (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -385.5. What is the closest to 0 in -0.2, -5, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7136, -28331, -63452, -112337, -174824, -250751, -339956?\nAnswer: -442277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 16*t = 9*t. What is the common denominator of 29\/10 and t\/(-1) - ((-28)\/(-22) + 2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from iiqgluiigggi.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1.1, -357556?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 218 - (8\/(-14) + (-60)\/140). Let l = i - 109. Suppose -4*h - 4 + 80 = 0. Calculate the remainder when l is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/(n\/(n**(3\/2)\/n))))*n*n*n**(-7))\/((n**11*n)\/(n*n**(2\/3)*n)) assuming n is positive.\nAnswer: n**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 49*p - 128. Calculate m(12).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*l = 20, -m = 4*m + l - 4. Are m and -2\/3417 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(90\/(-4)))\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/2750)\/(98\/(-55125)).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133.1 and -184804.\nAnswer: -24597412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14674 + -3?\nAnswer: 14671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/138124305 and 113\/792.\nAnswer: 1104994440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-22)*2\/4. Let p be (-42)\/(-7) - (-8)\/(320\/(-235)). What is the second smallest value in p, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 652\/1141*(-987)\/(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*((k\/((k*k**(1\/2))\/k))\/k)\/k*k)\/k)**32)**(-1\/31))**16)**1 assuming k is positive.\nAnswer: k**(256\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 9*a - 1. Let k be z(-4). Let w = k - 22. Let v = 4 + w. Is 10\/9 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - t**3 - 37*t**2 + 4*t**3 + 37*t**2 - 2.\nAnswer: 3*t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6*u - 21. Suppose 0 = u*h - 2237 - 1540. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) 1929 (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.4 (b) 47\/38 (c) -3 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 14*r - 9. Let y(d) = -d**2 + 6*d - 5. Let t(l) = 2*w(l) - 5*y(l). Let u(h) = -2*h**2 + 4*h - 13. Give 11*t(o) + 6*u(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 0.03194?\nAnswer: 16.96806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/13))**(-10) assuming a is positive.\nAnswer: a**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 3.\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*p + 10, -p - 2*p + 11 = 4*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 5*x = -24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 - 20. Let u(n) = 2*n**2 + 7. Let o(t) = 6*i(t) + 17*u(t). Calculate o(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*m + 11338 = 485*m - 2720 - 15554 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*u = 413*u + 449*u - 80172 for u.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16142006 to the power of 1\/2, to the nearest integer?\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 1. Let l(x) = c - 6*x - 6*x**2 - 3 + 0 - x**3. Let t be l(-5). Solve -u = u + t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(-3)\/9*6. Let o be 2\/5 + b\/(-10). Is 4 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 2, v: 1, j: 3}. Give prob of picking 2 j and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82300245 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(1 + 3\/(-2)). Factor 4*b + 11*b**3 - b**2 + 5*b**3 - 12*b**l - 6*b**4 - b**2.\nAnswer: -2*b*(b - 1)**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 - 3\/(-9)*3. Suppose 3*b + g*b - 39 = 0. Suppose -b*k = -710 - 772. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15974 and 3.\nAnswer: -15971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + 1012)\/(0 - 2\/(-4)).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/3, 2, -0.3, 118 in ascending order.\nAnswer: -0.3, 2, 25\/3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 1259 + 1881 = 0. Let h = f + -474. Let v = h - -319. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148434 and 355861?\nAnswer: 27757158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53076001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 121.738. Let m = 0.462 - r. Which is the closest to -22? (a) m (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 31 + 31. Let j(t) be the first derivative of 3*t**2\/2 - 1. Let n(m) = -6*h(m) + 7*j(m). Let x(y) = 2*y**2. What is x(n(s))?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1969 - 1973) + 24 + 0 + -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -68. Put -0.3, l, 3 in decreasing order.\nAnswer: l, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502213878?\nAnswer: 2, 11, 68282449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20402, -81672, -183810, -326816, -510690, -735432, -1001042?\nAnswer: -1307520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Let k(v) = 3*v**2 - 1032*v - 1. Calculate r(k(n)).\nAnswer: 12*n**2 - 4128*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*-3*((-820)\/(-40) + -20). Which is the biggest value? (a) -6\/5 (b) 1\/65 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*k - 3882 + 3134 = 12020 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/5)\/(f\/f**(2\/3)))**(-2\/51))**8)**(-35) assuming f is positive.\nAnswer: f**(-896\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1333*u**3 - 2014*u**3 - 733*u**3 + (-2*u + 0*u + 0*u)*(5*u - u**2 - 5*u))*(-2 - 3 + 3) in the form r + l*u**3 + g*u + a*u**2 and give l.\nAnswer: 8156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1090062 and -5\/5000067.\nAnswer: 230003082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -179*k + 134 - 2 + 276 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n. Let h(d) = 6*d**2. Give h(l(p)).\nAnswer: 1014*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-10 - -2)\/((-2)\/1) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810123 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293457\/(-368)*-6 + 3\/8?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 390.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1050*f**2 + 99*f + 26. What are the prime factors of l(-3)?\nAnswer: 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-380 - 699 + 98)*(2*n - n - 2*n).\nAnswer: 1962*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6811615 - 4\nAnswer: -6811619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-44)*-28 + 7. Let c(a) be the third derivative of u + 2*a**4 - 16*a**2 - 1\/10*a**6 - 8*a**3 + 0*a + 1\/70*a**7 + 0*a**5. Solve c(f) = 0 for f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/35 and 3\/385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7*21293098\nAnswer: -149051686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58508621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*a**3 - 2 - 3*a**4 + 120*a**3 - 7*a**3 - 14*a + 12*a to the form v + b*a**2 + p*a**4 + y*a**3 + n*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33313.134 plus 184?\nAnswer: 33497.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(171) - (-2 + sqrt(171)))*-4)*-1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 101*t**3 + 378*t**2 - 422434*t wrt t?\nAnswer: -12*t**2 + 606*t + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(-a - 4*a + 3*a) + 3*a - a + 3*a + (-8 - 2*a + 8)*(-2 + 1 - 1).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2616)\/2289*(-9338)\/8. What is the greatest common factor of h and 690?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 4*k - 50. Let f be q(-5). Let u be ((-120)\/f - -2)\/(2\/70). Suppose -2 - 34 = -4*b. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11707.4 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3 + l)*(-73 + 20*l**2 + 73)*(-l - 4 + 4).\nAnswer: -20*l**4 - 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 5763?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 820\/15)*132\/(-16). Calculate the highest common divisor of 110 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 697\/7667 + 40\/286?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978541833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*b - f + 51, -30 = 3*b + 3*f. Let j = -3 - b. Suppose -j - 15 = -5*o. Solve l + 0 = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-2)\/(-4))\/(-1). Suppose o*u - 282 = -3*u. Let b(a) = -a**2 - 47 + u + a**3. Calculate b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*j - 2 - 0, 3*j - 6 = -3*a. Find the common denominator of 33\/18 - (9\/6 - a) and -65\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -s - 2*s + 28, k + 4*s = 8. Let m be ((-4)\/k)\/((-2)\/4). Let n(b) be the second derivative of 5*b**3\/3 - b**2\/2 + 48*b. What is n(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125766\/3 - (69\/(-12) - 3\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b97 - 2?\nAnswer: 7b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16810 or -1697760\/101?\nAnswer: -16810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.84 or -51?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = -2. Let q = y - 15. What is the derivative of z + 1 - 4*z - 3*z + q wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.331 - -1.331. Let d(u) = u**2 + 6*u + 1. Let s be d(-6). Put p, 3\/2, s in increasing order.\nAnswer: p, s, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3182)\/(-3) + (-2)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q\/(q*q\/(q\/(q*q*q**(7\/2)*q))))))\/q*q**7*q)\/((q**(-7\/5)*q)\/q*q**(11\/3)))**28 assuming q is positive.\nAnswer: q**(-322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 11077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 plus -447.935?\nAnswer: -447.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-100))\/((-40)\/(-100)). What is the smallest value in u, 17, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-40)*4)\/(-3 + (-20)\/(-8)). Solve -l = -3*p - 4*g, 2*p + 0*g = -2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6408*p + 6361*p - 481844. Which is bigger: p or -10253?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 + -331. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(28 - -1) - -1. Let y be ((-9)\/j)\/(6\/(-5)). Let k = -59 + 55. Which is the closest to 0.1? (a) y (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002095 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33920 and 1430735.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**3 + 3*s**2 + 8*s - 18. Let v(z) = -3*z**3 - 2*z**2 - 5*z + 12. Let k(n) = -5*r(n) - 8*v(n). Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216))*-2.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80644223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(sqrt(612)*1 + sqrt(612))*-5 + (sqrt(612) + sqrt(612)*-1)*5 + 4*sqrt(612)*-2)**2*-4 + 3).\nAnswer: -5013498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/26*(-1 + -33). Suppose 0*c - x + 57 = 5*c, x + l = 4*c. What is the smallest common multiple of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3889*k - 3889*k - 181*k**2 as t + y*k**2 + l*k and give y.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 3397.\nAnswer: -7\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*t**3 - 623 + 191 + 215 + 217.\nAnswer: 155*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 52 (c) -5 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:14 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*t + t - n, 0 = -4*t - 4*n - 28. Let h be (-3)\/t + 3\/4. Suppose -4 - h = -5*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4 = 0, 5*w + 0*w - c = -13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*q - 10864, -2 - 2 = 2*r. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-18) - 3\/9)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(32) + (sqrt(2) - (sqrt(16)\/(sqrt(24)\/sqrt(3)))**2).\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -6)*(-2)\/8. Let r be ((-2)\/z)\/((-3)\/(-6)). List the prime factors of 6\/(-1 - r)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 2. Suppose -i + 154 = x + x, -3*x = -4*i - 242. What is the remainder when x is divided by k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1484 divided by -14.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 4*r - 3. Let a be w(3). Solve 3*s = 5*m + 13 + a, 5 = -m + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(4*(-1)\/(-1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {s: 1, t: 2, m: 1, o: 1, n: 2, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(385)\/sqrt(44))\/(-1*sqrt(5)*-2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(49)*-5)*2)\/(6*sqrt(14)\/sqrt(2)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8340 divided by -12.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134686192?\nAnswer: 2, 89, 94583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 32 = -176. Let l(n) = 16 + c*n - 9 + 15. Let r(w) = 5*w + 3. Calculate 6*l(i) - 44*r(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-54)*108\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 8*i - 3. Let v = 237 + -235. Let j be (-21 - -7 - -7) + 4\/v. What is g(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 7*o - 11*o + 32*o - 15*o in the form a*o**2 + g + x*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -21. Let n = -180 + k. Let c = n + 109.0000119. What is c rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 249 = 3*d, -u + 4*d + 247 = 2*u. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15*m - 2 - 1783*m - 534*m in the form y*m + h and give y.\nAnswer: -2302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 3, 4, 8, 1\/9, -4 in ascending order.\nAnswer: -4, 1\/9, 1\/7, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**2 + 1\/4*m + 5.\nAnswer: -(m - 5)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 22*o - 42. Let g be a(2). Solve -g*x + 5*i - 20 = 0, 2*x + 5*i - 32 = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 47 + 22. Let l(u) = 2*u**2 - u - 4. Let v be l(-2). Suppose 4*n - v = 2*n. Solve 2*z + m = 3*w, -5*w + 40 = -3*z + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3\/3 + 11872*w**2 + 892804*w\/3 + 285728 = 0. What is w?\nAnswer: -24, -1, 8929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 + -358. Is (-2)\/(-12) - ((-22803755)\/(-78))\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 9 + (-3 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4261 + 268444\/63. What is the smallest value in 9, x, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:55 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21613 + 24032. What is the greatest common factor of 413 and n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {k: 5, x: 3, i: 3, n: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2505, 2506, 2507?\n\"Answer: o + 2504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let o = -2.7 + -22.3. Let v = 25.4 + o. What is the nearest to 0.1 in v, -0.07, r?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4094 and -191.\nAnswer: 78.1954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/689 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let y be 5*(21 + 0 - 0). Let u(l) = 102*l**2 - 210*l**2 + y*l**2. Determine k(u(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-24)*(225\/180)\/((-21)\/3360).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j + 4*j - 3*j + (-2 - 1 + 5)*(0*j + j - 2*j) + (-2*j + 3*j + j)*(-2 + 3 + 0).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2 + a + 1. Let o be f(2). Let x be (4 - 1) + 13\/o. Factor 0 - x*c**2 - 2\/5*c.\nAnswer: -2*c*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 51373*f - 18. Suppose -10 = -2*m - 2*n - 28, m - 4*n = -4. Let z be y(m). Let q be 24\/(-36) + z\/(-3). Round q to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, a: 5}. Give prob of picking 3 a and 1 s.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -383 (c) 9 (d) 7 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 16) to base 14\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -791 by -196.\nAnswer: 113\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -52*p**3 - 265*p**2 - 38*p - 23. Give z(-7).\nAnswer: 5094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.012 + 3.012. Let t = -5 - -15. Which is the second smallest value? (a) n (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1\/29, 2\/15, 2\/19, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 9. Suppose 0*r = 2*r + 10. Let t be q(r). Which is smaller: t or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/4 + 29*o**4\/12 + 2*o. What is the third derivative of r(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 13*r = -5*d - 199100001, 5*r = -4*d - 159279995. What is d rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 3 (b) 0.1 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 13*g**3 + 6*g + 6*g**3 - 4*g - 3*g.\nAnswer: 17*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62)\/16 - 7\/56. Let u be a\/6*-6 - (-116)\/(-29). Solve 0 = o + 5 - u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d = 72*d - 7*d - 544 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1139156 and 805046.\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*-1 - sqrt(1617))\/sqrt(3).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llylylyytltltt. Give prob of sequence lyyy.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1005)\/5360*(35\/(-15) - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (1\/(-26) - (-23205)\/(-11830))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8983 and 1625.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 53*n**2. Let m(x) = 2*x - 3. Let p(k) = 5*k - 7. Let g(j) = 7*m(j) - 3*p(j). What is g(b(z))?\nAnswer: -53*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*y - 11, -3*y = 6*h + 210 - 186 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 102*n**2 + 1019*n + 173. Calculate z(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.06 (c) 6\/1639 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 195, 306, 417, 528?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/2 - -1)\/1. Let x be 0 + 9*2 + k. Suppose 0 = -3*f - 3*c + 12, -3*c - x = -3*f + 22. Solve y - 15 = -4*m, -3*m = 2*y - 2*m - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2. Let z be 6\/14 - (-240)\/(-168). Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -93. Suppose m*n - 5*n = -84. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + -2 - ((30 - -31) + -67)) + 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 8. Let g(m) = 3*m + 7. Let c = -634 - -640. Give c*g(h) + 5*f(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from xuxxxxxuxrxrxxx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112185458.\nAnswer: 2, 7, 11, 728477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 20*y**3 - y**2 + 8*y - 1. What is s(4)?\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 206775, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.12 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:48 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2. Suppose -3*l + 45 = 2*c - c, 3*l = 5*c + 27. Suppose j + p + 2*p + l = 0, 5*p + 22 = -3*j. Let u be 0 + (j - -2 - 5). Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:53 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 11*v**2 + 21*v + 110. Let b be d(-12). Let l be 4 + (-2 - (-2)\/(-2)). Calculate the greatest common factor of l and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30274, 30261, 30248?\nAnswer: 30235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 261 in descending order.\nAnswer: 261, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 373*d**2 - 19055*d + 70589. Give f(-311).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*c + 1 + 17, 4*l - 12 = 3*c. Let u(a) = 18*a**3 + 3*a**2 - 19*a + 1. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 - 4*i + 4. Let z be c(-2). Which is smaller: -2\/35 or z?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 57*f**2 + 2379*f - 10. Give y(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*(c*c\/(c\/(c\/(c**1*c))*c))\/c)**33 assuming c is positive.\nAnswer: c**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 1. Let n(l) = -9*l**2 - l - 1. Determine 4*c(m) + 3*n(m).\nAnswer: 5*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -0.054, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 1, q: 2, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11688*d**4 + 7954 wrt d.\nAnswer: 46752*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -9e?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 856*f**2 - f - 422*f**2 - 3*f**4 + 3*f**3 - 425*f**2 to the form c*f**2 + u*f**3 + j + w*f**4 + y*f and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 44, 26, -28, -130?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*a + 12 - 206*a + 58 to the form r*a + i and give i.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3105 divided by -3105.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 278, 1215, 3246, 6785, 12246, 20043?\nAnswer: 30590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 40240?\nAnswer: 40240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 50 (c) -3 (d) -153\/2 (e) -2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 588 + -271. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d0 (base 15) to base 4\nAnswer: 313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6886*i - 6857*i = 0. Let r(u) be the third derivative of 0*u - 19\/3*u**3 - 5\/3*u**4 - 29*u**2 + i. What is the first derivative of r(c) wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 - -148e?\nAnswer: 14c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31a + -63a2?\nAnswer: -6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:36 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/13 + 7144910*f**2\/13 + 14289826*f\/13 + 7144914\/13 = 0. What is f?\nAnswer: -1, 3572457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 154 - -cfa?\nAnswer: e4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.126 + 0.126. Which is the smallest value? (a) f (b) 0.5 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -495 - -496. Which is the second biggest value? (a) -22 (b) n (c) -0.6 (d) 3 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 21 = 0. Calculate the smallest common multiple of 12 and -10 - -9 - y\/(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 8*w + 17. Determine k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -50, 28, 230, 598, 1174, 2000?\n\"Answer: 7*y**3 - y**2 - 50*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5564281 * 0.1.\nAnswer: -556428.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111001111111000 (base 2) in base 12?\nAnswer: -25a620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177390352 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 16. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-96)*1*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 32. Let o be y(-8). Suppose -20*c + 14*c + 168 = o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -c - 3, c = 5*c - 3*j - 3. Let b(f) = 2*f + 1 - 4*f + 3*f. Calculate the remainder when b(c) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 + 5\/6*j**3 + 0*j**2 - j + 1\/2*j**4 + 1\/20*j**5. Let p be r(-5). Solve -15 = 5*u - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 2. Let v(q) = -3*q - 1. Let u(s) = 2*v(s) + w(s). Let j(z) = 6*z**2 - 1. Determine j(u(y)).\nAnswer: 6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102214413 - -3012?\nAnswer: -102211401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111010022 - 1110000?\nAnswer: -112120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11524013.\nAnswer: 19, 606527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/24 - 7*z**2. Let w(l) = -5*l. Let f(g) = 11*g. Let s(t) = 6*f(t) + 14*w(t). Calculate s(r(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 3\/4, -2\/11, 0, -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 169\/2. What is the common denominator of f and ((-9)\/24 - 5)*60\/(-150)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/48)\/((-67)\/(-3819)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 + 78*p**2 - 58*p + 390. Determine b(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2281 - 4567 + 2285 - 36*y**3 + 8*y**2 + 8*y**2 in the form v*y + u*y**2 + z + i*y**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 2*r - 37, 2*m = r + 13. Suppose d - 2 = -0. Solve -4*w + 3*v - m = d*v, 0 = 3*w + v + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -b + 101, -i + 457 = 2*b + 3*b. What are the prime factors of b?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603582 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(19\/4))**(-3\/34) assuming h is positive.\nAnswer: h**(57\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsbs when four letters picked without replacement from bsstbbbbbbttbstss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -114a38 (base 14) in base 4?\nAnswer: -2033312222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 7*r + 392. Let n be (r\/5)\/(8\/20). Suppose 2*o - 29 = 3*c + 72, 2*o - n = 4*c. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35226, -140922, -317094, -563754, -880914, -1268586?\nAnswer: -1726782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = 3*t, -2*t = -2*w + 5*w + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.137732 - 0.007687. Let g = -0.13 + v. Round g to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/4 - 383*h**4\/4 + 5855*h**3\/4 + 6239*h**2\/4 = 0. What is h?\nAnswer: -1, 0, 17, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 + 169 - (1 + 43).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 21 - 17 = -5*d, 0 = 3*q - 5*d - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52197 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -11*p + 16*p, -31 = -4*k - 11*p. Let a(o) = -7*o**2 - 3*o + 4 - o**3 - 5 + 1. Give a(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.161 * -0.3.\nAnswer: -0.0483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/7776624 and -103\/80?\nAnswer: 38883120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:35 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c - 56. Let n be 24\/16 + c\/(-4). Suppose -3*x + 2*i + 114 = 0, -n*i = -2*i - 9. Find the common denominator of -31\/3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4176986 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccrzcrczczzzczz. What is prob of sequence crzz?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 88 = -8. Suppose 0*w = 4*w - i. What is the highest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -101*d + 17. Let t(k) = 35*k - 6. Let v(w) = 6*m(w) + 17*t(w). Let a(l) = -50*l**2. What is a(v(g))?\nAnswer: -6050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661553939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/55 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 95\/30 - 2\/12. Suppose b*x + 2*x = 0. Suppose -4*h + 320 = 4*m, x*h - 77 = -m + 2*h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -3, -911?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7113768.\nAnswer: 2, 3, 37, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 17*w**3 + 6*w**2 + 35*w - 8. Let m(d) = 16*d**3 + 5*d**2 + 29*d - 7. Calculate 6*m(h) - 5*s(h).\nAnswer: 11*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11101110010011 (base 2) to base 10\nAnswer: 15251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/3536 and -107\/51714.\nAnswer: 413712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46a - -5?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 4*p + 2. Suppose 0 = -26*j + 30*j - 24. Suppose 57 = 7*g - j. List the prime factors of w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 111762 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7911405 by 3.\nAnswer: -2637135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 18*f**3 - 9*f**2 - 24*f. What is the hundreds digit of s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. Let r be p(-2). Let x be r - ((-1 - 3) + -95). Suppose 5*z - z = 76. Calculate the greatest common divisor of z and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 10, 7.4.\nAnswer: 5, 7.4, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 1. Let t be n(-1). Suppose 11 = 4*r - t. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p + 33*p - 16*p. Let s(b) = -6*b. What is s(w(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g + 60. Suppose 51*j + 480 = 45*j. Let q = j + 95. What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(700) - (-4 + sqrt(700))) - (-3 + (sqrt(700) - sqrt(700)*-1)))**2.\nAnswer: -200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 11*w**2 - 29*w - 4. Determine y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32652 by -7.\nAnswer: 32652\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531 and 45?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + (19 - 32) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 - 260.8. Let j = 0.3 + -0.3. Sort -2\/19, r, j.\nAnswer: -2\/19, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 251 and 1281.\nAnswer: 321531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*h**2 - 54*h**2 + 0*h**3 + h**3 - 56*h**2 in the form a*h + i*h**2 + d + r*h**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 136 = 192. Let l = -34 - d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkykkkyky. What is prob of picking 2 k and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022 - 10?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 28 = 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -49. Let x be (-4 - -7)\/(2 - g\/(-20)). Which is smaller: 11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*g + 3*f - 3, -6*f = -24. Which is the closest to 65? (a) g (b) -7 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -204?\nAnswer: -7\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -34*f - 6. Let h be p(-2). Let u = h - 57. Solve -u*c - 5 + 0 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 286. Let p = 135 - n. Which is the nearest to -1? (a) p (b) -2\/13 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8162\/79 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 3, s: 1}. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 40, 72, 118, 184?\n\"Answer: g**3 - 2*g**2 + 23*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-176)\/(-616))\/((-1)\/73))\/((-2)\/(-7))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 12*t**2 + 21*t + 5. Let g be d(-10). Let k(o) = -7*o**2 + 1. Let z be k(1). Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 - -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 10. Let q(l) = -l + 5. Give -5*q(v) - 2*w(v).\nAnswer: 3*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.04 - 0.04. Let z = 0.0173 + -0.1173. What is the closest to z in 0.4, q, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 8 + (-1 + -17 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let g(q) = 14552*q**2 + 642. Let k(v) = 55*v**2 + 1. Let r(j) = g(j) - 642*k(j). Determine x(r(c)).\nAnswer: 20758*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 2*j + 9 = 0, 0 = i - 5*j - 15. Suppose -4*x = -v - 7, 5*x = v + v + i. Suppose 1032 - 3042 = x*h. Round h to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5791 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let a = 2 - i. Let n be 2\/(-4)*a*6. Solve n*s + 0 - 3 = -3*r, -5*s + 5 = 4*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16097466 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99c - 5f6?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((-2*sqrt(275)*3)\/sqrt(5))\/(sqrt(1188)\/sqrt(3)*2))**2 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 4*m**3 + 0*m**3 + 11*m**3 - 92*m**3 + 12*m**3 + (-3*m**2 + 0*m**2 + m**2)*(-3*m + 7 - 7) to d + o*m**3 + k*m + r*m**2 and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 0 + 11*d - 55.\nAnswer: -2*d - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71.1 + -66. Let y = -0.1 + g. Let n be (-2)\/6 + 1\/12. What is the second smallest value in y, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n*n*n**5\/n)\/(n**13\/(((n\/n**(-2\/83))\/n)\/n)) assuming n is positive.\nAnswer: n**(-247\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1955, -1988, -2009, -2012, -1991, -1940, -1853, -1724?\nAnswer: -1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**9\/1008 - o**5\/120 - o**3\/3 + 3*o. Let d(j) be the second derivative of z(j). Find the second derivative of d(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36270 and 8476.\nAnswer: 11824020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 22401?\nAnswer: -110\/22401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.19263214 + -25.19\nAnswer: -24.99736786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21744 is divided by 805.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1607 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -104*f + 7. Let y be m(6). Let p = y + 891. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4*l**2 - 5)*(l**2 + l**2 - l**2) + 2 + 2*l**4 - 2 to the form b*l**2 + i*l**4 + t*l + g*l**3 + s and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33436, 67865, 102294, 136723, 171152, 205581?\nAnswer: 240010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -122. Let n = z - -58. Suppose n = -k + 16. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 57*p + 58 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x - 26*x**3 + 647*x**2 - 325*x**2 + 2*x**4 - 316*x**2 wrt x?\nAnswer: 48*x - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 3. Let o(c) = -2*c - 2. Let d(r) = 5*l(r) + 8*o(r). Let k be (-5 + 1)*61\/(-4). Let b(p) = -55 + k + p + 6*p. Calculate -b(h) - 6*d(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyyyimyfyffnifymi. Give prob of sequence mf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 567\/243*(3 + 117\/(-42))*1*8. Solve 3459\/2*z**3 + 630*z**2 + 0 + 54*z - 630*z**g + 54*z**5 = 0 for z.\nAnswer: -1\/6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*b = -3*b + 64, 32 = 2*l - 2*b. Let w be (-12)\/(2 + 1) + l + -9. Suppose 0 = -w*h + 5*h + 160. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 7.9. Let v = 4 + p. Let o = -6.2 - -6. Which is the third smallest value? (a) -5 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 s when four letters picked without replacement from stlllslalslalaasals?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21541019 and 54.\nAnswer: 1163215026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r. Let f be h(-1). Let v(t) = 7*t**3 - 6*t**2 + 6*t. Let s(d) = -7*d - 6*d**3 + 3*d + 5*d**2 - d. What is f*v(w) + 6*s(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 584 + -584. Put m, 1, -5, -28 in increasing order.\nAnswer: -28, -5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, -2726, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.024 less than or equal to -6.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16\/7, 0.5, 0.51, 2\/5?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 887\/4 + -238. Suppose 0 = 42*s - 31*s + 451. Calculate the common denominator of v and ((-12)\/(-8))\/((-9)\/s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.323 >= -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -22\/21*n**3 - 9\/35*n**5 + 4\/7*n**2 - 8 + 6\/7*n**4 - 1\/7*n. Factor a(f).\nAnswer: -(f - 1)**2*(3*f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169386 and 14938.\nAnswer: 180734862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -65*t + 393. Let g be m(6). Find the first derivative of -249 + g*w**2 - 2*w**2 + 16*w**3 + w**3 - 40*w**3 - 32*w**3 wrt w.\nAnswer: -165*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 - (-7 - -6 - 5 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -7 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 2*i + 2. Let t(c) be the second derivative of -c**5\/20 - c**4\/4 + c**3 + 3*c**2 - 3*c. Let r be t(-4). Let d be z(r). Solve 2*b + 6 = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9*-1*-6. Let j be -3 - -8 - -2 - c. Suppose 5*l + 10 = 7*l. Calculate the greatest common factor of j and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 21*u - 1. Does 35 divide h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-15)\/(-24)) + 0. Suppose 4*h = 2*h + t. Suppose -2 - 2 = -h*n. Is 1 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 - 11*g + 7. Give b(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -202000001021202?\nAnswer: -202000001021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620847542, 1241695090, 1862542628, 2483390150, 3104237650, 3725085122, 4345932560, 4966779958?\nAnswer: 5587627310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1290366 and 56.\nAnswer: 5161464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.017 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.2, 4, 5, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 275 + -3?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 3, 4 in descending order.\nAnswer: 39, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57503 + 105103. Is 272 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15302*b = -15327*b + 275. Sort 82, 2, b in decreasing order.\nAnswer: 82, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 55*y**2 - 26*y - 20. Let v be a(27). Let f(g) = 8*g**2 + 2*g. Let q be f(-2). Is q\/v - (-65)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Let d be c\/(9\/3 + -2). Suppose -3*t = -d*t - 45. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(2 + 2 - 439*h + 444*h) as k*h + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64624 - -55.\nAnswer: -64569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + j**2 + 1031*j**3 - 1047*j**3 + 3*j. What is the tens digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m**2 - 13*m - 160. What is x(6)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 7 = j, 22 = -6*l - 1225*j + 1229*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 o when three letters picked without replacement from {o: 12, p: 1, j: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13129949 divided by 1875707?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1912 times 3605\nAnswer: -6892760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*64\/((-62720)\/(-3675))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 + 3 - 1) - -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*((-3*x - 1 + 1)*(-637 + 799 + 336) + (-x + x + 2*x)*(0 + 4 - 2)) to g + d*x and give d.\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 12. Let f be d(-8). Suppose f*g - 284 = 4*p, 3*p = -0*p - 12. Let n = g + -47. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1827 and 19488.\nAnswer: 58464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -20.52, 1\/5, 0.3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.36100476 rounded to 2 decimal places?\nAnswer: -9.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(16)*-6)\/(sqrt(200)*1 + sqrt(8)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 8*s - 7. Let a be j(7). Suppose -5*k + 20 = a, 0 = -2*q - 4*k + 76 + 134. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*v = 40, -2*v - 3 - 3 = j. Suppose -j*g - 4*n + 27 = -3*n, 12 = 3*g - 2*n. What is the remainder when (-52)\/(-3) - 2\/6 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-158)\/4108 + (-834)\/(-52). Solve -4*m + 12 = -2*v + 20, 2*m = -5*v - a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 8*h - 2. Let n(s) = -2*s**2 - 12*s + 3. Let t(i) = 2*n(i) + 3*o(i). Let m(f) = -382*f. Determine m(t(a)).\nAnswer: 382*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23214 and 424.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2138960, -2138958, -2138956?\n\"Answer: 2*i - 2138962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w**3 - 2*w**2 + 15. Let s(m) = 9*m**3 - m**2 + 8. Let k = 276 - 287. Give k*s(n) + 6*i(n).\nAnswer: 3*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 45 - 6*p + 109.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57156793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 80214.29 nanoseconds?\nAnswer: 0.00008021429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 200, 1689, 5728, 13589, 26544, 45865, 72824, 108693?\n\"Answer: 212*s**3 + 3*s**2 - 4*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 207*y**4 + 7698*y**3 - 86662*y**2 + 151053*y - 71883 = 0 for y.\nAnswer: 1, 21, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a - 6. Let q be 2 + (1 - (-3 - -1)). Let m(h) = -27*h + 15. Let i(d) = q*m(d) + 12*t(d). What is i(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-9)\/(-36))\/((-1518)\/(33\/(-1)))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-3)\/sqrt(11) + 0.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 30, 2, -1.316, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(2\/81)*u\/(u\/(u*u**(-14\/3)*u)) assuming u is positive.\nAnswer: u**(-137\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4313 - 4237. Calculate the highest common divisor of h and 156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 1\/696, -21, -0.1, -0.4.\nAnswer: -21, -0.4, -0.1, 1\/696, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = r + 20415, 2*r + 34025 = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 80. Let d be r\/16 + 6\/8. Suppose 2*j - 20 = -d*j, -2*z + 4 = -2*j. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 4*d**2 - d - 1. Let k be m(-2). Suppose -6*z + 7 = -23. Let u = 15 - z. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c - 4 = 4*s, -3*s - 15 = -c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5495, 10981, 16467, 21953?\nAnswer: 27439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 + 2*y - 7 + 13. Let g(i) = 6*i + 3. Give 2*g(c) - 7*j(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-72) - 4\/(-12)) + ((-7744)\/288 - -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121)*-1 + sqrt(121) - sqrt(121))*4)\/((-1*sqrt(539) + sqrt(539))*-2 + sqrt(539)).\nAnswer: -20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833217 is divided by 35942.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -966 - -963. What is the closest to z in 1, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -48*h + 1. Give x(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.44 (c) 100\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/79560 and -71\/100.\nAnswer: 397800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10 = -8*m - 2, -m - 16 = -3*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z + 0*z**5 - 43 + 8\/3*z**6 + 0*z**4 - 25\/2*z**2 + 0*z**3. What is the second derivative of s(k) wrt k?\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7988417*t**3 - 3515160*t.\nAnswer: -47930502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 8*y + 4. Let i be r(-5). Is i\/(-8) + 6\/8 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {e: 5, y: 6, g: 2}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + z**4 - 4198 + 4*z**3 + 4198 in the form j*z**4 + i*z**3 + n*z**2 + c*z + l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 = -q, 5*i = 4*q - 3*q + 35. What is the third derivative of -y**4 - i*y**4 - 7*y**4 + 12*y**2 + 5*y**4 wrt y?\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.03, 2\/67, 0.3, 2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t\/t**(-1)))**(-44)\/((t**(4\/3)*t\/t**(2\/11))\/((t\/(t\/((t*t\/(t*t**(-1)))\/t)))\/t**(1\/3))) assuming t is positive.\nAnswer: t**(5759\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 + 3*o**4\/4 + 17*o**3\/6 - 8*o**2 - 2*o. Suppose 84*v = 37*v + 28*v + 171. What is the hundreds digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Suppose 0*w + 4*w + w = 0. Which is the nearest to w? (a) 5 (b) h (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {y: 4, p: 9, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 29*m**2 - 26*m - 46. Let v be s(28). Let c be 4 - 6\/4*v. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/6 - 252*x. Let i(u) = 972*u**2. Give i(t(c)).\nAnswer: 972*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -a + 81, -44 = 3*c + 3*a + 55. Let b = -27 - c. Put -4, -1, b in ascending order.\nAnswer: -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60904.\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k + 61*k + 57*k + k + 3*k - 3*k + (4*k + k - 6*k)*(1 + 3 - 2))*(-1 + 3 + 1).\nAnswer: 306*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -0.49\nAnswer: 53.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsmooopmo. Give prob of sequence opo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34839504 divided by 1451646\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -325, -519, -769, -1093, -1509, -2035, -2689?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnx. Give prob of sequence xnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105607 + 105613.2233. What is v rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 8. Suppose 3*x + 510 = j*x. List the prime factors of x.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.2. Suppose 2*x - 2 = 2*h, -3*h + h - x + 1 = 0. Let n = 28\/3 + -109\/12. What is the closest to h in q, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1568, 1073, -1100, -5791, -13840, -26087, -43372?\nAnswer: -66535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26504 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12178\/7 in -0.3, -1\/4, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90401 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 0, -912 - 305 = -4*k - j. Calculate the greatest common factor of k and 1717.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Suppose 3*l - 4 = v*l. Sort -2, 0, l in decreasing order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4764*r + 27. Let a(w) = -23*w - 5. Calculate -6*a(x) - m(x).\nAnswer: 4902*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 8 + 53 + 8)*(t + 25*t + 6*t).\nAnswer: 2720*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 8. Let x(r) = -4*r + 1. Let s be x(-1). Let h(o) = 5055 - 5064 + 6*o - 2*o. What is s*h(c) - 6*j(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5355 - 2?\nAnswer: -5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-4)\/(-10) + 8283\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 + 4*v + 6. Let q be z(3). Which is the smallest value? (a) 1\/2 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 3*l**4 - l**5 + (3 + 2*l**3 - 3)*(-6*l**2 + 2*l**2 + 3*l**2) + (3 - l**4 - 3)*(-142 + 142 - 203*l).\nAnswer: 200*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 - 37 + 39)*(3 - 2 + 1)*(5 + 0 - 4)*(-d - 13 + 13).\nAnswer: -294*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 20 = -4*c, 0 = -6846*v + 6844*v - 2*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-98 - (11 - 104)) + -1 + 28\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22255242 (base 6) to base 16.\nAnswer: a522a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2284 + -1.2284. Let i = -0.01 - 0.29. Which is the closest to -1\/6? (a) i (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6189537, 6189539, 6189543, 6189549, 6189557?\n\"Answer: a**2 - a + 6189537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65598 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 52, 67, 74, 73, 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 720087\/4 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176632 divided by 4.\nAnswer: 44158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130480 and 1420.\nAnswer: 9264080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 1201, 1493, 1785, 2077, 2369?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -542*s + 132807. What is o(245)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022121212 + 10?\nAnswer: 12022121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 + 0.8. Let w = 2.8 - k. Which is the nearest to -0.1? (a) w (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -869*r + 21729. Give n(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:12 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859819968 divided by -31.\nAnswer: 27736128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464668537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 453048961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c + 1201*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 5, 0.3, -5, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/12003, -3, 0.4, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.697 - -0.403. Let h = u - 76.469. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**2*w**2 + 112*q**2*w + 133*q*w**4 wrt w.\nAnswer: -2*q**2 + 1596*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:14 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 0 (c) 0.2 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/142 and -20*((-214)\/44 + 5)?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 87. Find the common denominator of -91\/6 and (111\/9)\/(q\/9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1836) - 2*sqrt(1836)*-1))\/(sqrt(147)*1*2 + sqrt(147)*-2*3).\nAnswer: -18*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 - 1\/1365*k**7 + 0*k**4 + 1\/195*k**5 + 0*k + 0*k**3 + 47*k**2 - 1\/780*k**6. Find u such that s(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u + 78*u - 14*u**3 - 139*u.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -100. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378860?\nAnswer: 2, 5, 19, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2836671 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**4 + 4*u**3 - 8*u**2 - 16*u. Let j(d) = -6*d**4 - 12*d**3 + 24*d**2 + 48*d. Let w(h) = 10*i(h) + 3*j(h). Determine l so that w(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 1314376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00777404 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 45*n**2 - 4. Let k be s(-45). Put 6, 28, k, 2 in descending order.\nAnswer: 28, 6, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 0*o**3 - 16*o**2 + 5*o**3 + 4*o**2 to k*o**2 + v*o**3 + m + q*o and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 205*i + 61*i = -238 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 15*y - 15*y)*(359*y - 27*y + 55*y).\nAnswer: -1161*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1160170 and 10780.\nAnswer: 113696660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -842\/17 + 52. Let g = -117\/68 + p. Which is the closest to -1? (a) -0.2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 + 2*c - 6. Suppose -17*x - 205920 = -7*x. Calculate the remainder when 0 + (-1)\/5 + x\/(-585) is divided by z(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose 0 = 2*o - y*o + 6. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-20)*(-88)\/((-1584)\/(-135)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:16 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 278.8, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/11, 5 in descending order.\nAnswer: 5, 2, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b + 12. Let m be (-15)\/b*20\/(-6). Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3806411 * 0.23\nAnswer: 875474.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -539268*f**3 - 8*f + 2 + 539268*f**3 - 2*f**4 - f**2 to i*f**3 + b*f**4 + u*f**2 + h + o*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837168 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = -3*h - 120, 0 = 2*h + 4*t + 80. Let p = h - -48. Solve 4*z + 2 = r, z + 7*r - p = 3*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -126*l**2 - 3*l + 93. Let b(p) = 134 - 227 + 4*p + 67*p**2 + 56*p**2. Let s(w) = 3*b(w) + 4*r(w). Differentiate s(y) with respect to y.\nAnswer: -270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by -43.\nAnswer: 1147\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -8*l + 4*l. Let r(p) be the first derivative of 13 - p**2 - l + 6 + 2*p + p. Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2 - (-4 - 21 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/(-8) + -5)*24. Suppose g + i*g - 26 = 0. Suppose 3*x = -2*k + k - 514, -3*x - 518 = g*k. Round x to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4 - (18 + -27))) + 0 + -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 16. Let g be y(8). Let u(q) be the first derivative of 1\/3*q**3 + 10*q + 59 - 11\/2*q**2. What is u(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*v + 49, 0*w + 29 = 4*w + v. Suppose 5*p - w = 2*p. Let z be (1 - (-3)\/(-1)) + p. What is the second smallest value in -4, 6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 + c**2 + 7*c + 3. Let y be a(0). Solve -10*k + y = 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*b + 6*p - 18, 0 = -5*p. Find the third derivative of 5*j - 6*j + 7*j**2 + j + 20*j**b wrt j.\nAnswer: 2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -1 - (48 - 56)) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejbqq. What is prob of sequence qj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*j + 125 = 4*y + 1054*j - 527*j, 5*j = 4*y - 113 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152583 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 9*h**2 + 8*h - 10. Let g be k(-7). What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -2\/133, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-12)*(-2 + 84\/(-15) + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -25.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v, 2*a - 4*v + 7171 = 7*a. List the prime factors of a.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 7 - 2. Let t = 40 + r. Let w = t - 33. Solve -5 = d - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3644842*g**2 + 7729556*g wrt g.\nAnswer: -7289684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-3)\/(-42) + 30\/(-35). Put 1, s, 89 in decreasing order.\nAnswer: 89, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 7) in base 8?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*f - 93315 = 2*f, 74655 = 4*l + f. What are the prime factors of l?\nAnswer: 5, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*b + (4 - 1 - 2)*(-b + 2*b + b) + (-1 + 2 + 1)*(11*b + 11 - 11).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-1)*((-224)\/606)\/28. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455237233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -608ab?\nAnswer: -608aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 164?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 1514?\nAnswer: 151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 40*c**2 + 28*c + 49. What is the hundreds digit of p(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4414231 (base 5) to base 8\nAnswer: 224637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - -4. Let m = 98 - q. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**2*s**3*w + 2884714*h**2*s**2*w**2 - 16*h*s**3*w**2 - h*s**3*w - 6*h*s*w - 334*s**3*w**2 + 3*s*w - 2*w wrt h.\nAnswer: -8*s**3*w + 5769428*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*-5.5\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 - o**2)*(-5 + 5 + 2*o) + 5*o**3 + 0*o**3 - 4*o**3 + o**2 + 11 - 6*o**3 + 2*o**3 - 13.\nAnswer: -5*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.7? (a) 1\/6 (b) 3 (c) -1\/8 (d) 1\/8 (e) -182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1584) + 5.\nAnswer: 6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10685.94 - 10893. Round u to 0 dps.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -5. Let d = 13 - 6. Calculate the lowest common multiple of t and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272876 or 273039?\nAnswer: 272876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 + (1 + 2 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-54)*1800\/(-200).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/(-1 + (1 - 1)). Let m = y + 101. What is the remainder when m is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 + 6*b + 6. Let j be m(-5). Suppose 2*z = j + 9. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-10 - ((25 - -14) + -14)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -473 (b) -1\/9 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 753680042*k**2 + 71004200336800198*k + 71004201090480242 = 0. Calculate k.\nAnswer: -1, 188420011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701 minus 0.0556?\nAnswer: 3700.9444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let i be (-2 - o - 2) + -38. Round i to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374 is divided by 746?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5*w + 88*c**3*w**2 + 1009*c**2 - 2*c*w**2 - 2*c*w - 10390*c + w**2 + 20*w + 4 wrt c?\nAnswer: 40*c**3*w + 528*c*w**2 + 2018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.2. Let n be -2*1*6\/3. Let u be n\/(-5) + 1 - 1. What is the nearest to 0 in u, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) -5 (c) 2 (d) -2\/35 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 440350 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79864 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(sqrt(30)\/sqrt(5) + sqrt(6) - sqrt(6)) - sqrt(153)\/sqrt(36)) + 0)**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10233301 (base 4) in base 8?\nAnswer: -45761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5950.1 + 5950. Which is the nearest to 2\/13? (a) 1 (b) 5 (c) 31 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 1958, 2937, 3916?\nAnswer: 4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919855 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1798?\nAnswer: 57\/1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:47 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - x - x + 3*x**4 + (0*x**2 - x**2 - 3*x**2)*(-2*x**2 + 2*x**2 - 2*x**2).\nAnswer: 9*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104.061 - 104. Let c = 0.06099973 - j. What is c rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(-136)\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 16*f + 38. Let z be q(-2). Suppose h + z*h - 559 = -a, -5*a = -2*h - 2795. Calculate the highest common factor of 86 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002498478 to 7 dps.\nAnswer: -0.0002498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(0 + ((-6)\/4 - 0\/(-72))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524937 to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 641, 1046, 1523, 2072, 2693?\n\"Answer: 36*z**2 + 297*z + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-45)*(h\/h**(1\/5))\/h*h**4*h*(h*h\/h**7*h*(h**(-7)\/h)\/h)**(-37) assuming h is positive.\nAnswer: h**(2204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 650*d - 652*d - 6451, -5*d + 6423 = h. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.9618 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 30138*p**3 + 6*p**2 + 9*p - 78. Let d be u(6). Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*w - 4, -20 + 17 = s + 3*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 + 97*h**3 + 51*h**3 + 72*h**3 + 11*h**3 + 50*h**3.\nAnswer: 301*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 1\/61, 9, -17, 0.3, -35, -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 4*t + t)*(9*t - 9*t + 17*t) to the form l*t**2 + n*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/(-11) + 12)\/((315\/20)\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -61.06. Let m = -24 + 19. Let b = 0 + m. What is the closest to -0.1 in g, -1\/4, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o - 2. What are the prime factors of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 39, 62, 105, 174, 275?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064819143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -45*z**2 - 3576*z + 2111. What is f(-80)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 201013?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**2 - 9*k**2 - 26*k + k**2)*(-k**2 + k**2 + 2*k**2) - 6*k**4 + 9*k**4 - 4*k**4.\nAnswer: k**4 - 52*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.953 - -0.047. Let m = u - 27. Let q = 13 - m. What is the biggest value in -3, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/5 + 10\/6. Let x = -199 + 194. Which is the closest to s? (a) 2\/9 (b) -8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.3, -2\/3, -3.48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -10548, 1.6, -3, 1 in decreasing order.\nAnswer: 1.6, 1, 0.1, -3, -5, -10548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115 - (71 - 117)) + 35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-348)\/29?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82207091\/6 = 13701183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 57\/27 + -5. Suppose -v + 1 = -5*d + 7, 2*d + 4*v = -2. Let f = 5 - d. Which is the second smallest value? (a) -1\/5 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(2\/12). Suppose -2*d = -6, -z*d = -5*t - 7*d + 67. Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -142*y**2. Determine o(-1).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**8*q))\/q**9*(q*q**(-1\/14))**(3\/35) assuming q is positive.\nAnswer: q**(-7801\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137088\/3584)\/((-9)\/(-20)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-77) - (-46)\/11. Suppose c*g = 88 + 32. What is the tens digit of 2\/(((-4)\/g)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-44)\/110. Suppose -2*g - 3*y - 1 = l, -10*y + 12*y = g - 17. Solve -3*q + g*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m - 1678 = -2*t, 0 = -t - m + 829. Let a = 4693 - t. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 + t + 8. What is the hundreds digit of u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 307*f - 376*f + 863*f - 297*f.\nAnswer: -117*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6 - 29*j + 23*j + 13*j. Let s(v) = -2*v - 13. Let h(l) = -l - 14. Let q(i) = 6*h(i) - 7*s(i). Determine 6*q(b) - 7*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t + 41. Let h be w(-10). Let z(c) = 1 + h + 2*c + 2. Let s(g) = 6*g + 11. Let k be (-2 + -1)*(-8)\/(-3). Determine k*z(r) + 3*s(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1001, 1 in decreasing order.\nAnswer: 1001, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 30*a**2 - 248*a - 4. Calculate r(9).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/4 - 3*o**3\/2 + 15*o**2\/4 + 9*o\/2.\nAnswer: -3*o*(o - 2)*(o + 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7303 and 3677224.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 6*r - 2*r)*(-32 + 82 + 72) as d + k*r and give k.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125944936 and 8944?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 18. Let g be x(-11). Let d(q) = 5*q + 6. Calculate the remainder when 100 is divided by d(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.14 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 + -0.26495.\nAnswer: -0.33095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-71 + 177 + -138).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20*v + 108 = 0. Solve -v*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let a(y) = 4. Let z(h) = -2*a(h) - 9*f(h). Let o(v) = 58*v - 19. Let u(d) = o(d) + 6*z(d). Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/2220)\/(4\/(-2984656)) - 5. Let m = 3030 + h. Is m less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*q - 25 = 0, -4*o + 3*q = -0*o + 8. Let k be (o\/(-9))\/((-2)\/9). Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*3 + sqrt(132))*-3)\/(sqrt(768)*-3).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 283 - 131. Is j a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3070\/7 + 3773072\/8603. Let u = h - -13375\/29496. Calculate the common denominator of u and -7\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -1\/3, -1.69, 1\/4, 0.5?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.337, 0.1, -455175 in increasing order.\nAnswer: -455175, -0.337, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/30 + p**2\/4 - 12*p\/5 + 1343. Find k, given that w(k) = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15754592 to the nearest integer?\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.8 - 32. Let r = m + -1.5. Let l = r - 6.2. Round l to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264464 divided by 132232.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -798, -3363, -7692, -13785, -21642, -31263, -42648?\n\"Answer: -882*o**2 + 81*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 4, 1 in decreasing order.\nAnswer: 4, 1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(2)*-1.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222 (base 5) to base 8.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 8. Suppose -2 = -u, -2*g - 20 = u - 6. Let f be x(g). Suppose 2*s - f = -2*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2272 - 2272 + 7*n - 3*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - cca7d?\nAnswer: -cca7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 19. Find the common denominator of 25\/(-60) + (-3 - -2 - 1) and (-4)\/d - 1995\/(-225).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 14*z**2 + 7*z + 1. Let n(j) = 17*j**2 + 8*j + 1. Let y(x) = 5*n(x) - 6*q(x). Let r be 5\/((-10)\/6)*60\/45. What is y(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6389 + -4778. What are the prime factors of l?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from {t: 1, u: 3, y: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20176 - 17176. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8264 and 3432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -11, -42, 2.\nAnswer: -99, -42, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129425 - 151067 - 59304 = -177*n + 5174*n for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 102, 142, 182?\n\"Answer: 40*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 3*k + 2 = 42, -q + 10*k = -4*k + 4*k + 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in -3, 0, -216\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0 (b) 0.3 (c) -14 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 339\/10 or 33?\nAnswer: 339\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {n: 3, g: 1, v: 2, s: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1178816*d + 7072919. Calculate g(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30410952 is divided by 897?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 12*r + 2*r + 5*r - 6*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 98.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-44) + 351087\/363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z**5 + 4645*z**4 - 6945*z**3 - 5*z**2 + 2315*z = 0. Calculate z.\nAnswer: -1\/2, 0, 1, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.67434l to millilitres.\nAnswer: 78674.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/r**1)\/r)))**(-4\/23)*r**(-1\/4)*r**(2\/11) assuming r is positive.\nAnswer: r**(107\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217009275 to the power of 1\/2, to the nearest integer?\nAnswer: 14731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiygi. What is prob of picking 1 g and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -237\/115, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 36. Suppose -2*p + 2 + 6 = 0, d = -f*p + 34. What is the first derivative of 519*q**3 + 6 - 512*q**3 + d wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.4 and 45488793636045.\nAnswer: 45488793636042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-5))\/d)\/(d\/(d**(2\/23)\/d)))**(-1\/4)\/(d**(3\/10)*d*d**(-4)*d**3*d*d**(-2)) assuming d is positive.\nAnswer: d**(1117\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/1386*-21*33\/180?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 1. Let l(h) = 7*h - 3*h + 3 + h. Suppose 24*q + 3792 = 12*q. Let s = 305 + q. Determine s*b(u) + 4*l(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:52 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.164 rounded to zero decimal places?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**3 + 4*d**2 - 5*d**2 + 8*d**3 - 7*d**3 wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -101303102?\nAnswer: 101303113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**0))\/t**(2\/17))**46)**(15\/4) assuming t is positive.\nAnswer: t**(-345\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -1 (c) 1\/110 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0769 - 43.\nAnswer: -42.9231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -141, -3 in ascending order.\nAnswer: -141, -27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/9 + (-799)\/1. Let i be ((-8)\/(-10))\/((-6)\/w). Suppose i = 3*k - 83. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1975\/(-790)*-2*(-4)\/(-90).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2. Let d(c) = -5*c**2. Determine d(x(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4\/3*m + 2*m**4 + 1\/3*m**5 + 13\/3*m**3 + 4*m**2 = 0 for m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1274*o + 9*o**2 + 3 + 1848*o - 859*o.\nAnswer: 9*o**2 - 285*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -45. Let g be (-10)\/(-16)*(-2)\/(-10). Let n = -80 - -404\/5. Put q, g, n in ascending order.\nAnswer: q, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2250 and -157\/30?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12881059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.342 - 1.3422186. What is w rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 14 - -6) + -9 + 16 + (-5 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2822*w = -6816*w + 202398 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, i: 3}. Give prob of sequence liii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/23, -0.3, -5\/17, -4082 in decreasing order.\nAnswer: 2, 2\/23, -5\/17, -0.3, -4082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*f + 87*f - 186 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**3 - 7 - 11*r**3 + 21*r**3.\nAnswer: -11*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y - 6*y)*(y**2 - 2 + 2) - 4*y**3 + 20*y - 20*y + (-y + 2*y + 0*y)*(0*y**2 + 2*y**2 + 0*y**2) to the form m*y + v*y**3 + c + w*y**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/7 + 30*h**3\/7 - 9*h**2\/7 - 60*h + 84.\nAnswer: 3*(h - 2)**2*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Suppose -j = -0*f + 2*f. What is the units digit of 2 - (2 - 0) - f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4899 - 4863. What is the greatest common divisor of 153 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 71. Let u(c) = 3*c**3 - 6*c**2 - 5*c + 6. Let h(l) = 5*l**3 - 12*l**2 - 9*l + 12. Let k(i) = 4*h(i) - 7*u(i). What is the units digit of k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 179*g + 3 - 182*g - 2. Let n(s) = -3 + 4 + 10*s - 4. Let z be ((-1)\/(-6))\/((-18)\/(-9072)*12). Determine z*w(x) + 2*n(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/35910 and 43\/378.\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -844806.\nAnswer: -49\/844806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80916972, 161833943, 242750914, 323667885, 404584856?\nAnswer: 485501827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001 - 11201?\nAnswer: -121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/765*-9*(-1)\/4)\/((-86)\/10)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 44 + 46. Let h(f) = f**3 + 19*f**2 + 19*f + 23. Let t be h(s). Solve -q - 15 = -4*o, 4*o - 3*q - t = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - 13) - (13 - 26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)*y\/(y*y**(1\/7))*y*y**(-2\/3)*y**(1\/3))\/(((((y*y**(-2))\/y*y)\/y*y)\/y**(-2))\/((y*y*(y\/(y\/y**(2\/3)))\/y)\/y)**(-2\/5)) assuming y is positive.\nAnswer: y**(-41\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 14}. Give prob of picking 1 x and 1 e.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c. Let w(r) = -60*r + 8. Give 20*m(z) - w(z).\nAnswer: -20*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 + -4 - -10) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 4*l**2 - 2*l - 4. Let i be r(4). Let x be (-291)\/i + (-4)\/16. What is the highest common divisor of x and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*v**2 + 21*v - 21*v + (-v - 4*v + 3*v)*(3*v - 3*v + 3*v) + 1 - v**2 - 1 + (4*v + 4*v - 5*v)*(1 - 1 + 2*v) to the form m*v + y*v**2 + l and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/((-75)\/(-119) + 136\/(-238)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = -66*w - 2*k + 1064, 5*k = -2*w + 724. Calculate the greatest common divisor of w and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 2:47 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (-12 - -11) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.98 + -26.9800023245. What is a rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231331 (base 4) in base 7?\nAnswer: -44313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 8*y + 3. Let h be d(5). Suppose -h = 4*s - s. Let v = -15 - s. Solve 2*l = -a + v*l - 8, 6 = a + 3*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 3*f - 2*f + f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 at least as big as 584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/105)\/(44\/(-14) - -4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 12*i - 19. Let l be o(-10). Let a be (-2)\/218*(-26)\/l. Let z = -989\/1308 - a. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12774928 by -2.\nAnswer: 6387464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -42355252 bigger than -42355252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -10564.\nAnswer: 1\/10564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1147 and -152.805.\nAnswer: -17.5267335","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Express -1 + 2 + 0 - 11*v + 0*v as w*v + a and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 12*l + 6. Let d be y(-11). Let u be 6\/14 + 0 + (-8)\/(-14). Let f(x) = x**3 + 5*x**2 + 4*x. Let r be f(-4). Put u, d, r in decreasing order.\nAnswer: u, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(0 + -5 + -5 + sqrt(931) + 0 + (-1*sqrt(931) + -2)*5)**2*-1.\nAnswer: -15297 - 1120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*((-24)\/(-16)*3)\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 95*(6\/10 - (9 + -9)). Let u = b - 51. What is the second derivative of 16*c**2 + 3*c + 10*c + u*c - 5*c wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 84 = 31*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272042857 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6451423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -48?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1008) + sqrt(7))*4 + -4 + 6*sqrt(7) + 4 + -5)**2.\nAnswer: -1508*sqrt(7) + 23717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Suppose 0 = -0*x - t*x + 106. Let h = x - 18. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.008409367 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587 = 4*r - 7*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18464127 and 41943?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*j = -63, 27 = -4*t + 5*t - 3*j. Solve -2*m = -5*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*x + 4459 = 377*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4 + 7*v - 4 - 8*v. Let i(o) = -4*o. Calculate g(i(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - i**3 + 3*i**3)*(4 - 33 - 3)*(-3*i**2 + i - i).\nAnswer: 192*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 20*i - 63. Let g be 4\/(-6) - (-7 - (-2685)\/i). Let r = 441 + g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9025907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and (-16)\/56 + (-782)\/56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-719)\/9 + 49818\/(-23598).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/7 - 1604*h**2\/7 - 3214*h\/7 - 1608\/7 = 0. What is h?\nAnswer: -1, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-30))\/((-54)\/(-144)))\/((-3)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 605 + -26?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from pspss.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 10*u**2 - 2 + u**3 + 0*u**3 to the form q*u**3 + l + k*u + c*u**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 12*y**2 - 43*y**2 + 158*y**2 - 75*y**2 - 50*y**2.\nAnswer: 2*y**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56347446 divided by 3?\nAnswer: -18782482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -481 and 0.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/66*(-330)\/(-110)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 13*o = 672 - 654 - 698 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 78231.83ng to milligrams.\nAnswer: 0.07823183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 220?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.39 - 0.01. What is the second smallest value in -3\/5, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135016555*g**2*k**4 + 1079*g**2*k + 17*g - 456*k + 3 wrt k.\nAnswer: -1620198660*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 9*y**2 - 1479*y + 4275 = 0. What is y?\nAnswer: -25, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t - 2. Let l = -5 + t. Suppose -l*n + 3*n = 3. Solve -n*y = -2*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -22. What is the least common multiple of p and 6\/(-12) + (-58)\/(-4) + -6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n - 1. Let d be k(-5). Suppose 0 = 2*s - 4, c - 2 = 2*s - d. Let v be (-4 - -7) + -1 + 1. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, 0.05, -1, 3, 0.4.\nAnswer: -1, 0.05, 0.4, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*w**4 + 3*w**3 - 4316659*w**2 + 218902116*w wrt w.\nAnswer: 216*w**2 + 18*w - 8633318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/21)\/g*g**(-1\/2)*g**(-5)*g**9*g assuming g is positive.\nAnswer: g**(151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7571000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12597 is divided by 6187.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*j + 4 - 4 + 275*j + 217*j + 180*j.\nAnswer: -404*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*c - 5*a, 0 = 5*a + 15. Let g(w) = -4*w**3 - 3*w + 2. Let x(s) = s**3. Let q be (-4)\/6 - 32\/(-3). Let h(k) = c*g(k) + q*x(k). Factor h(f).\nAnswer: 2*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147952533 or 147952531?\nAnswer: 147952533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Suppose 2 = o, 4*v + o = -w*v + 10. Solve 0 = -2*s + 8 - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -1)\/(40\/(-80)) + -3 + 11196?\nAnswer: 5, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(4)\/sqrt(2))**2*3*-1.\nAnswer: -18 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35125, -35301, -35625, -36133, -36861?\nAnswer: -37845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4442 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2\/19, -1\/2, -3, -5\/18 in ascending order.\nAnswer: -3, -1\/2, -5\/18, -1\/6, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iviv when four letters picked without replacement from {v: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -0.4 (c) -4 (d) -1\/2 (e) -11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/153*2\/(-42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2*(-3 + sqrt(1008)))**2*-1 + -2 + (sqrt(7) - (sqrt(7) + sqrt(35)\/sqrt(5))**2) + -3 + -3.\nAnswer: -9144 + 433*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3052 is divided by 156.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.922 - -0.028. Let x = z - -0.05. What is the closest to 0.1 in 0.1, x, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from efefefeefffeffffff.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1835*q. Let p(k) = -532912*k. Give p(i(j)).\nAnswer: -977893520*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -532*a**2 - 2*a**4 - 4*a**4 + 531*a**2 + 6*a**3 - 6*a + 8*a**4 to n*a**4 + j*a**3 + d*a**2 + b*a + u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 141\/6 - (-1)\/2. Let l = u + -11. Suppose 3*h + 14 = -5*j, 4*j + 32 = 3*h + 10. Solve -h*i = 2*i + 5*m - l, 2*m = -2*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32525110 (base 6) to base 2.\nAnswer: -11101110001101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 + 5*q**3\/3 - q**2\/2 + 3*q. Let a be n(9). Let d = a + -8. Sort d, -3, 3 in ascending order.\nAnswer: -3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*s + 2786 = 0, -5*z - 3*s = 2*s - 7040. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.83835 millennia in centuries?\nAnswer: 868.3835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 8*l**2 + 3*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 11*v**2 + 3*v + 23. Let n be h(-11). Let l(b) = 4 - 5 - 28*b - 17. What are the prime factors of l(n)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 70045 = -70058 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-32))\/((-10)\/36))\/(19\/(-152))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**3 - q**3 + q**3 - 3*q**2 to the form b*q + h + o*q**3 + m*q**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -167 + (81 - (7 - -31))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 29*v - 2426. Let l be k(84). Let f(h) be the second derivative of 0 - l*h - 1\/6*h**3 + 0*h**2. Let j(b) = 6*b**2. What is j(f(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3 - -6) + (0 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -47 + 0*b + 0*b + 207 + 5*b. Let m be n(-31). Solve c + 0*c + m = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/231 and 139\/480564.\nAnswer: 5286204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2108*v**3 - 1321*v + 372*v**3 - 2*v**2 - 5060*v**3 + 2482*v wrt v.\nAnswer: -40776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 2*h**2 + 36)*(34*h - 3*h + 28*h)*(1 - 4*h**2 - 1).\nAnswer: 472*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -74. Put 3, -0.4, h, 15 in increasing order.\nAnswer: h, -0.4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**2 - 44*x - 14*x**2 - 8 + 4*x**3 + 16*x**4 + x**2 - 15*x**2 - 8*x**2 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3250*g + 3252*g = -10, 5*g + 15 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z**3 - z + z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 + 10. Let t be (-27)\/(-8)*(56\/6)\/(-7). Let u = -0.1 + -0.3. Which is the closest to s? (a) t (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004949 to 7 dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -433145342?\nAnswer: 433145333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/10)\/w)**(1\/88)\/((w**(7\/9)\/w)\/(w*w\/(((w\/(w**(1\/2)\/w*w))\/w)\/w))) assuming w is positive.\nAnswer: w**(29417\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741651064?\nAnswer: 2, 7, 11, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*c*w**3 - 58*c*w**2 - c*w + 76*c - 7*w + 1159 wrt w?\nAnswer: -189*c*w**2 - 116*c*w - c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -245 * -114\nAnswer: 27930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnn when four letters picked without replacement from {r: 8, f: 7, n: 5}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14124 (base 5) to base 12\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, 0.5, -10\/9, -552528, -1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.55, -0.06, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y. Let q be 5 - 1 - 1 - 1. Let m(t) = -4 + q*t**2 + 4. What is g(m(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*c + 17 = 172*c. Let z(d) = 4*d**2. Let f be z(-1). Solve -3*k + c = f*b, 3*k = b - 9 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235910889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -29, -69, -125, -197?\n\"Answer: -8*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 769868264 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 7*c**3 - 15*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 82. Solve -4 = -f*a - r + 3*r, 0 = 2*a + 2*r - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 - 946856*k**3 + 3787484*k**2 - 946896*k - 5681232 = 0. What is k?\nAnswer: -236718, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/15 + 1)*-5. Suppose -5*y + 93 = -o*y. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1109 - -1417. Calculate the lowest common multiple of 39 and r.\nAnswer: 32838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 140\/292899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24f98 (base 16) in base 4?\nAnswer: -210332120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t\/t**(-2\/9))**(37\/3)\/(t\/((t\/t**(-24))\/t)*t**(-1\/12)) assuming t is positive.\nAnswer: t**(8117\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262431?\nAnswer: 41, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533.51 + -11.929?\nAnswer: -1545.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/359, 1\/2, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (27 - 11) - (0 + 0 + (12 - 24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -10\/7, -0.01, 4, -210, -2\/3?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*n + 42 = 444*n - 6. Let a(h) = -h**2 - h. Let q(d) = -7*d**2 - 7*d - 5. Calculate n*a(x) - q(x).\nAnswer: x**2 + x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 4*h + 10850000. What is h rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2005938\nAnswer: -4011876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90887\/(-12) - (2 + -1). Let s = 7582 + p. Calculate the common denominator of s and (-567)\/66 - (-1 + -4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 23 = 5*h, -2*h - 10 = -3*c - 5. Put c, 3, 0.1 in ascending order.\nAnswer: c, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.0205 to the nearest integer.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907 + 1696 - 573 = 10*n. What is the highest common divisor of 49 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b*s - b - 3*s + 277 wrt s.\nAnswer: -17*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5689 = -2*w + 5687, -5*q = 2*w + 10 + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 3*d**3 + 7*d**3 - 2*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14336780, -28673561, -43010342, -57347123, -71683904?\n\"Answer: -14336781*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320446382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25984 and 1576960?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1181182 or -1181188?\nAnswer: -1181182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. Let c = 0 - p. Let a(w) = -w**2 + 2*w + 1. Determine a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 bigger than 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -2\/3, -4, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1018 + -1020.855. Let f = -0.145 + u. Suppose 3*b = b + 8. What is the third smallest value in -0.11, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 + 8 + 1\/1)*-2. Suppose 5*k = -5*x + b*x + 916, -k = 2*x - 599. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w + 598 = 2102 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 5. Let q(i) = -2*i - 2. Let w(v) = 17*q(v) - 6*z(v). Let b be w(3). Is 6*(-3)\/(-12)*b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 5*h**4\/24 + 5*h**3\/6 + 28*h**2. Calculate the remainder when ((-7)\/(-4))\/((-1)\/(-28)) is divided by q(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 1. Let c be o(1). Suppose -30*d = -14*d - 48. Suppose 2*w - 44 = -5*q + w, -32 = -d*q + c*w. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -32. Let i = j - 16. Let r(k) = -k - 2. What is the smallest common multiple of r(i) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503269 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 6450?\nAnswer: 90300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 8*i + 34 = 0, 0*i + 2*i = -o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 254*s - 57 = -231*s, -2*s = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, 3, 12\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = 12. Let k(m) = 15 + 3*m + m - o*m. Let d be k(-10). Solve n = b, -d*n = -4*n - 3*b + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-6720)*-231*(-2)\/(-12)*10.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40) - ((-26)\/(3952\/(-114)))\/((-3)\/(-187))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 6*m + 1. Suppose -2*a + 0*a = -4*z + 78, 3*a + 97 = 5*z. Suppose -4*h = -0 + z. What is the tens digit of i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 119365917.\nAnswer: 119365919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/18*24\/14. Suppose -3*o + k = -2*z - 0*o, -4*o + 16 = 0. Solve 3*x + z = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 17*i**2 - i - 11. What is the smallest common multiple of q(-17) and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:58 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1984*b**2*h*u + 2*b**2*h + b**2*u**2 + 2*b**2*u - 2*b*h*u + 104*b*h - 2*h*u**2 - u**2 wrt b?\nAnswer: -3968*h*u + 4*h + 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15192 and 11736.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, r: 5}. Give prob of sequence rx.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 + 9*t**2 + 0*t**4 + 0*t**3 - 1\/30*t**5 + 0*t. Let v(a) = -2*a**2. What is c(v(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19085617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3038*q**2*w**4 - 7*q**2*w**2 - 60287*q**2 - 202*w**6 wrt w.\nAnswer: -72912*q**2*w - 24240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.48 + 0.08. Which is the closest to 0.2? (a) h (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7809 divided by -2603?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208614969 by -9727.\nAnswer: 21447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + h = 6*h - 455, -h = -3*c + 431. Let f = -17 - -75. Calculate the greatest common divisor of f and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111340 (base 6) in base 10?\nAnswer: 289356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6743303.06 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*o + 4 = 0, 4*o + 4 = -3*d + 2. Suppose -2*c - 11 = -3*s, 0 = d*s + 2*s - 5*c - 17. Solve -y = s*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 2*s - 4*s**2 + 2*s**2 + s**2. Let k be h(-6). Let i(j) = -5*j + 49. Let z be i(10). Which is the third biggest value? (a) k (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 + 5*q**4\/6 - 3*q**3\/2 + 35*q. Factor h(f).\nAnswer: -f*(f - 9)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/77 + (-164)\/14. Let g(i) = -i**2 - 15*i - 15. Let b be g(a). Calculate the highest common divisor of b and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68003, -68087, -68331, -68819, -69635?\nAnswer: -70863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71891 is divided by 17969?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1280 + 1263. Let j = c + 4518. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*s - 286, 5*b - 162 - 128 = -5*s. Suppose 0 = -4*y - 4*y + s. Solve -c + y = 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/(((z*z**(-4\/7))\/z)\/z))\/(z**(-2)\/z*z*z*z\/z**(-5))*z*z\/z**(2\/13)*z\/(z**(-2\/3)\/z*z)*(z\/(z*z**(1\/4)))**36 assuming z is positive.\nAnswer: z**(-2434\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2030*k + 2015*k. Let q(l) = -l**2 + 8*l + 4. Let a be q(6). Put 1, k, -4, a in descending order.\nAnswer: a, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22001 (base 3) in base 12?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*(-27 + 18). Let o be (-545)\/(-35) + l\/(-7). Solve -2*a + o = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 111*t + 696.\nAnswer: 3*(t + 8)*(t + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 705587*z**3 - 2*z**2 - 69846*z + 2 wrt z?\nAnswer: 4233522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20826.\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 53, 86, 125?\n\"Answer: 3*h**2 + 18*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:53 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68\/3 in -1\/6, -1, -5, -90?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2225*r**2 + 2225*r**2 + 152*r**3.\nAnswer: 152*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from {m: 1, g: 2, w: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g. Let x = -1.3 + -4.7. Let f = x - -6.1. What is the closest to g in f, -1, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*g - 5, 0 = -g - 4*t + 120 - 125. Let o(w) = 0 - 93*w + 1 - 4. What is the tens digit of o(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35207654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/2 + 39*m**4\/2 + 389*m**3\/2 - 13995*m**2\/2 - 84128*m - 185856 = 0. What is m?\nAnswer: -11, -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-36)*-14)\/(((-2)\/(-8))\/(336\/896)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-273)\/(-2366)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b - 2*b + (-1 + 5 - 3)*(-b + 3*b + b))*(1 + 3 - 2).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1753 (base 8) to base 3\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -225 in decreasing order.\nAnswer: 4, 2\/5, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/25 (c) -3 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 109?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:09 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110001?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k - 9900. Let m = 8 + -5. Let p be 0\/((2 - m)*2). Let g be s(p). Round g to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4114 - -937. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0 - 4 + 3)*(3 + 1 - 5)*(o + 2*o - o)*(0*o**3 - o**3 + 5*o**3).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 2930\nAnswer: -2929.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 495, 739, 981, 1221, 1459?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:41 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508660699?\nAnswer: 508660699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4\/2 - 969*p**3 + 329943*p**2\/2 - 2738394*p + 11979414 = 0.\nAnswer: 9, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 2*n. Suppose 53 = 2*y - 3*p, -3*p - 87 = -5*y + n*y. Suppose 0 = -3*r + r + 18. Calculate the remainder when y is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10011010100101?\nAnswer: 10011010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + o = 1176 - 1179, 4*o = 3*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*y - 3*y, 5*g = 4*y + 37. Suppose -g*i + 39346 + 20765 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 (base 4) in base 3?\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 20*g + 11 - 33 + 11 in the form j*g + r and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -4*t - 2*o + 70, 3*o + 3 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.025, 0.1, -6, 5, -2418\/11.\nAnswer: -2418\/11, -6, 0.025, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -89.48661642\nAnswer: 89.47661642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.17 (c) -1\/56 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 151 = 3*q, -4*g + 330 = g + 2*q. Suppose 5*c - 47 = g. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 + 3*z**2 + 14*z + 1. Suppose -154 = 35*f + 56. What are the prime factors of d(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43957503 is divided by 1856?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y - 55*y - y**4 + 28*y - 12*y**3)*(2*y + 0*y - 3*y).\nAnswer: y**5 + 12*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.214 in 0.76, -1, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2791)\/(-295846))\/((11\/(-22))\/(3\/((-9)\/(-2))))\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/9 + 8*f\/3 + 12.\nAnswer: -4*(f - 9)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -54\/563?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4412*x**2 - 4404*x**2 - 4409*x**2 + 2*x**3 + x**3 + 17640*x**2 - 4*x**3 - 4415*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 360034271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - (-75)\/10)*8\/14. Is ((-20)\/6)\/(-5)*(-657)\/b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(12\/3 - 5). Let d be n*-1*(-28 - -18). Suppose h = 4*q - 497, -3*h + 164 + d = 3*q. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131076342 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 13827900 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 2*z**3 + 0*z**3 + (5*z - 4*z - 3*z)*(z**2 + z**2 - z**2) + 2 - 22*z**3 - 1 + 12*z**3.\nAnswer: -14*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - -13 - (25 + 0 + -5) - (-7 + 1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Suppose -3*f = -t*p + f + 136, 5*p + 4*f - 284 = 0. Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75856 times -0.3\nAnswer: -22756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 255648*j - 2*j**2 + 5*j**2 - 3*j**2.\nAnswer: j**2 + 255648*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 4720859?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 38*f = -40*f + 114, 4*p = -f - 4*f - 95 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijia when four letters picked without replacement from {a: 1, j: 9, v: 3, w: 1, i: 3, k: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:29 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142\/375 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - (-1)\/3. Let o = 0.2 + -0.21. Let u = -0.29 + o. Which is the smallest value? (a) r (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:27 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3227789, -3227782, -3227775, -3227768, -3227761, -3227754?\n\"Answer: 7*i - 3227796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174576, -174590, -174608, -174630, -174656, -174686, -174720?\nAnswer: -174758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - (-25)\/((-1500)\/864). Which is the smallest value? (a) q (b) -6\/383 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*23\/(69\/(-9))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 991484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/99 and 50\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 7, e: 1}. What is prob of picking 2 n and 1 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48782826 by -2869578.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -422719422316017?\nAnswer: -422719422316020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 0.4 (b) -6 (c) 370\/17 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243366 divided by 863?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 14*g - 34*g.\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s - s)*(-2256*s + 7 + 2272*s - 312)*(s - 3 + 3).\nAnswer: -32*s**4 + 610*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -2*p + h + 48, 0 = p - 5*h - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + 1 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 1, c: 2, l: 2, u: 2}. Give prob of sequence ruu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7284*x = 7276*x - 32. Let k(d) = -2*d**2 + 5*d - 4. Calculate k(x).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 - -693. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 88510048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-38)\/(-4). Suppose 2*x + a + 18 = 4, 2*x - m = 5*a. What is the third smallest value in 5, -3\/2, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3862*s + 11596. Calculate q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352 (base 7) in base 6?\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 613.0644 + -0.0644. Let y = -614 + l. Let d = -8 + -4. What is the nearest to -1 in d, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361616 >= 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11917075*0.4\nAnswer: -4766830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 1 - 18 + 2 - 4 - 340*g to the form f + w*g and give w.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5 + f - 4*f + 8*f - 4*f. Let z(m) = -626*m + 1200*m - 3 - 573*m. Let u = -10 + 0. Give u*z(p) + 6*n(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117237598.7881614 - -80418605.2181731. Let o = r - -36818992. Let l = 1.57 + o. Round l to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 142 = 4*m + 162, 3*s - 19 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 22 = 2. Suppose -o - 3 = -x. Find the first derivative of 19*c**2 + o - 12*c**2 - 9*c**2 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*g**3 - 7*d*g + d - 9*g**3 + 33*g**2 + 26 wrt g?\nAnswer: -18*d*g - 54*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69042 divided by -37.\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.279 - 14.279. Is k < 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 7*p**2 + p**2 - 5*p**2 in the form i*p + o*p**2 + u and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 218. Calculate the remainder when m is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 3*o - 3. Let n be j(4). Let g = n - -8. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(250) - 1*sqrt(250))\/sqrt(2)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 27*p**2 + 27*p. Let c(t) = t**2 + t. Calculate -54*c(u) + 2*s(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14235 is divided by 2162?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 3, a: 2, f: 3, q: 1, h: 1}. Give prob of sequence ga.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 3\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 304304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8, -4*b - 4*a + 103 = -229. Let p = 569\/7 - b. Let x = -2.05 - -0.05. What is the nearest to 1 in p, 0.1, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/(8\/20). Let h(j) = 800*j**3 + j - 1. Let t be h(k). Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unu when three letters picked without replacement from unnunuunnnnnnunn?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 915704 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 77.1.\nAnswer: 385.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-247 + 325)\/(-5 - 2*26\/(-8))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(4*n + 0*n - 2*n)*(4 - 2 - 8).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -33147*k + 33147*k + 1636*k**2 in the form i*k + c*k**2 + l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134456*s**5 + 912380*s**4 - 2476460*s**3 + 3360910*s**2 - 4561235*s\/2 + 2476099\/4 = 0 for s.\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93603126 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 1460 = 17*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31423 and -5?\nAnswer: -157115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4271*x**3 + 2134*x**3 + 2094*x**3.\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22065 is divided by 122.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d + d + 5*x, -48 = -4*d + 2*x. Suppose -2 = -2*f + 104. What is the remainder when f is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 14*w**2\/3 - 12*w.\nAnswer: 2*w*(w - 9)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from yoxuv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j - 22. Let b be d(-6). Suppose 2*m = b*r - 4 - 4, 0 = -4*r - 5*m + 7. Suppose -r*o - 31 = -4. Sort 1, o, 2\/7.\nAnswer: o, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(5\/6))\/x)\/x)\/x**(-3\/2)*(x\/(x*x**(-1\/5)))**27 assuming x is positive.\nAnswer: x**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let u(m) be the second derivative of -m**3\/6 - 3*m**2\/2 + 4*m. Let a be u(-5). Solve 0 = a*f - f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/12*(-16)\/(-6). Let y = 9 - 5. Suppose 5*z - 3 = y*z, -w*l + 27 = 5*z. Solve -3 + 0 = -l*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/18)\/((-6)\/99) and (-2 - 1) + 78\/(-936).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.2938 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-3 - -1)\/(11\/(-22)). Let z be (v - 0)*(-1 + -1 + 1). Which is the closest to -5\/7? (a) -2 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 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: Divide 201 by -67.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*s = -6, -w + 6*w - 5*s - 5 = 0. List the prime factors of 2\/3*24 + w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10227?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.34043779 rounded to 3 dps?\nAnswer: 170.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 18. Let v be j(18). Let r = 74 + v. What is the nearest to -0.1 in 12, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.5 (c) -1.868 (d) 0.1 (e) -1 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b + 0*b + (-2*b + 3 - 3)*(-1 + 2 + 1))*(b**3 - 52*b**2 + 52*b**2).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c*k*u - 70*c*k + 3167*c*u + 5*c - 84*k*u - 158*k - u - 356 wrt c?\nAnswer: -5*k*u - 70*k + 3167*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 + 6*r + 14. Let w be k(-3). Let y be w\/(-8 - -4 - (-39)\/6). Solve 0 = -5*f - y*a - 30, -2*a - 6 = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:51 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 14*b + 6. Let t(x) = 1. What is l(o) - 5*t(o)?\nAnswer: -o**2 + 14*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - -4598042838529.\nAnswer: 4598042838531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 - 0.44. Which is the third smallest value? (a) -3\/4 (b) 0 (c) z (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21127423, 21127429, 21127439, 21127453?\n\"Answer: 2*n**2 + 21127421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4231.195 + 8.195. Let i = 4223.05046 + k. Let j = 0.05 - i. Round j to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14985.0193 to the nearest 100.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 10*y**2 - 8*y - 7. Let o be v(9). What is the tens digit of 13 - (o + (-3)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -99. Let a(t) be the first derivative of -1\/26*t**4 - 7\/13*t**2 - 1 - 10\/39*t**h - 6\/13*t. Factor a(c).\nAnswer: -2*(c + 1)**2*(c + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 15. Let v(d) = 6*d + 46. Suppose 123 = 189*x - 216*x + 15. What is x*v(i) + 11*o(i)?\nAnswer: -2*i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 682721 - 682721.0799994. Let v = 0.08 + b. What is v rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/2)*v*v)\/v)**(-5\/2) assuming v is positive.\nAnswer: v**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 6487?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/i)**(-8\/3)\/(i*i**(-3))**29 assuming i is positive.\nAnswer: i**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7 + 4*g + 20 - 12. Let i(r) = -13*r - 3. Calculate 4*i(d) + 14*w(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a**3 - 4647 + a**3 + a**3 + 4646 + a. Let b(f) = -3*f**3 + 4*f**2 + 4*f - 4. Determine -b(s) + 4*z(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 536165 - 216565. What is y rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10294 is divided by 3430.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 2, l: 4}. What is prob of picking 1 l and 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a**2. Let q(z) = 143*z**2. Give v(q(s)).\nAnswer: -429429*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 84, -2 in increasing order.\nAnswer: -5, -2, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-104))\/(3\/8)*(-5616)\/(-48)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -351 - -354. Factor 3*d**4 - 18056*d**b + 205*d + 160 + 2*d**4 + 18031*d**3 - 45*d - 30*d**2.\nAnswer: 5*(d - 4)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 + 0.3. Let z = m - 0.35. Put z, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmv when three letters picked without replacement from mmvvmvvmvvvvm?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*(-4)\/10*(-90)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3764 + 50791. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -5122896?\nAnswer: 2561448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2336 and 3672?\nAnswer: 1072224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 4*a - 32, -4*a + 40 = 2*r. Suppose -3*x + 9 - 54 = 0. Let p = x + r. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/6 - 7*r**3\/3 - 224*r**2. What is g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -450887*k*q - 37270667*k - 34*q wrt q?\nAnswer: -450887*k - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let v = -7 - -9. Let y(k) = -k + 3. Let q(c) = v*u(c) - y(c). Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 + 136568*m**2 + 2323685704*m - 261968717696 = 0. Calculate m.\nAnswer: -34198, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-1)\/(-20))\/(32\/128).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqhyj. Give prob of picking 1 y and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, u: 4, q: 6}. What is prob of sequence ih?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from mxgwwitt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 3, b: 3}. What is prob of sequence abb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/2 - 5*p**2\/2 - p - 22. Let x(o) be the first derivative of i(o). Determine x(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 71 = 41. Suppose z*o - 3*o = 25. Solve k + 4*k + 2*b = o, -k = b - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -31*i**4 - 28*i**3 - 8*i**2 - 11*i. Let s(w) = 8*w**4 + 7*w**3 + 2*w**2 + 3*w. Let g(d) = -6*o(d) - 22*s(d). Factor g(j).\nAnswer: 2*j**2*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/600 and 37\/3258600?\nAnswer: 3258600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113821282 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 3. Let z(p) be the first derivative of p - 1\/2*p**2 - 2. Let m(f) = l(f) + 2*z(f). Differentiate m(h) with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 at most 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 2478*v**2 - 514176*v + 1018464 = 0.\nAnswer: 2, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4\/11*k + 1\/11*k**2 + 3\/11 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - -3) + -118 - 39?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186595 + 281062. Is (-208)\/(-364) - (o\/7)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-876)\/(-28))\/(((-86022)\/(-1239))\/162).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59c84bd + -5?\nAnswer: 59c84b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 + (-1)\/2. Let v = 80 + -71. Solve -3*s - v - 11 = 4*a, -5*a - s - 14 = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1622865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 15892*b + 4555187. Give c(-292).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjiivvjjiviiiijjjvx. What is prob of sequence xi?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32570788?\nAnswer: 2, 19, 428563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3531\/5, 1, 0.3, 13, 5 in increasing order.\nAnswer: -3531\/5, 0.3, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856 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: What is the closest to 13 in -14, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, 43, 0, -2, -5 in decreasing order.\nAnswer: 43, 0, -2, -5, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - 15*s**2 + 40*s - 14. Let n(t) = -4*t**3 - 13*t**2 + 38*t - 13. Let z(u) = -3*f(u) + 4*n(u). Determine z(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20096, -20117, -20134, -20147?\nAnswer: -20156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -32.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 244*z**2 + 7*z**3 + z**3 + 238*z**2 - z**3 to the form j + h*z**2 + b*z**3 + w*z and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 6*j. Which is greater: -2\/57 or j?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jvvvjvvvjvvvvvvvjjvv.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -229, -264, -297?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1014443 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2046, -2770, -3494, -4218, -4942, -5666?\n\"Answer: -724*j - 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2127, 2126, 2125, 2124?\n\"Answer: -q + 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 4. Let t be n(7). Let i(g) = g**3 + 7*g**2 - g + 9. Let j be i(-7). Suppose -3*d + 10 = d + 2*k, 4*d - 4*k = j. Solve t = -d*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2414*n - 84485. What is z(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 11. Let r be f(-5). Let u = 52 - r. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*x + 9, 4*j + 4*x - 14 = 2*x. Suppose -a = -5*r + 3, -j*r + 2 = 3*a - 7. Suppose -2*t = a*k - 8, -3*k - 1 = -4*t + 1. Is k 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 {v: 1, i: 2, u: 1, b: 8, h: 4}. Give prob of sequence vhbh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1065, -4024, -8897, -15684, -24385, -35000, -47529?\nAnswer: -61972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + m = -10*y + 29581, 2*y = 5*m + 11800. List the prime factors of y.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 5*t**2 - 5*t - 2. What is the smallest common multiple of j(-4) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7637737 nanograms?\nAnswer: 0.0000000000007637737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 8*w + 32*w**3 + 2 - 40*w**3 - 49*w**3 as a*w**3 + r*w**2 + s + p*w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a = 2828*a + 1024*a - 199920 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1272 + 2228. Let x be (307\/(-2) - -3)*2 + 4. Let f = k - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -640*f**2 - 78563*f - 416943017 wrt f.\nAnswer: -1280*f - 78563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -899.61 + 861. Let r = 39 + v. Let h = r + -0.3975. What is h rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48641, -0.25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/9)\/((-1)\/33). Let x = 603\/5 - i. Which is the third smallest value? (a) -4 (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-567) + 15\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57313, 114725, 172099, 229417, 286661, 343813, 400855?\n\"Answer: -3*d**3 - d**2 + 57436*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4158 and 1078.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/5 (b) 2 (c) -1\/3 (d) -567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0287425 - 0.001\nAnswer: -0.0297425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(99) + (sqrt(99)*3 + sqrt(99) - sqrt(99)))\/sqrt(9) - sqrt(1331)*4)**2 + (-3 + 1 + sqrt(396) - (1 + sqrt(396) + 2*sqrt(396))**2)).\nAnswer: -70165 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72984 is divided by 72241?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/(-26) - 2\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 2*a**2 - 72 + 0*a**2 + 16 in the form r*a**2 + d + t*a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167260 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3 - 17*c**2 - 2559*c.\nAnswer: 78*c - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2 - 6*h - 6. Let t(z) = z**3 - 3*z + z**3 + 2*z**2 + z. Let d(b) = -75*b - 377. Let r be d(-5). Let f be t(r). Calculate p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 22372.\nAnswer: 1\/11186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 90*g + 522. Let w be o(-9). Is -6 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*c**3 + 0*c**3 + 0*c**5 + c + 2*c**5 wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 - 4*x - 8. Let k(l) = 7*l**3 + 5*l + 8. Determine -3*k(w) - 4*p(w).\nAnswer: 3*w**3 + w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2201 - -2227. What is the third smallest value in n, -0.3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -206, -343, -608, -1043, -1690?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*k - 2, 2*w - 4*k - 2 = 0. Suppose w*f + 2833 = 4*l, 5*l - 3*f = 3*l + 1421. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 303*a - 7278. Give u(-62).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 times -1.5?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 + -1232031?\nAnswer: -1231312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 70*t - 385. Does 21 divide v(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30517 at least as big as 30517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 884\/(-476)*20\/(-26)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -25*b**2. Let m(t) = -38*t. What is x(m(s))?\nAnswer: -36100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324 - -322. Let a be 4 + (9\/p - (6 - 9)). Put -1, 11, a in decreasing order.\nAnswer: 11, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 - k**2 + 4 + 2*k + 2 - 3*k**2 - 2 + (-3 - 1 + 3)*(-3*k**2 + 0*k**2 + 2*k**2) - 4*k + k**2 + 4*k to j*k**2 + q + f*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/5*(-105)\/(-6). Let i(d) = 0*d + 16 + d - c. Calculate i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/67894496 and 47\/23968.\nAnswer: 475261472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 905195111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135283.\nAnswer: 135283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 1, 0.5, 85 in descending order.\nAnswer: 85, 1, 0.5, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/3 + r**2 + 5*r. Let w be l(0). Solve 0 = -w*t + 3*m - 6 - 3, -2*t + 2*m = 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 8 - 7. Let o = 49 + 86. What is the greatest common factor of o and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5998231 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119.876ng in grams?\nAnswer: 0.000001119876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*r + 104*r = -544. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205 - -3074\/15. Let s = 56923\/30 - 1898. Let n = s - l. Is n greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 3. Let b be g(3). Let y be (b\/4)\/(6\/416). Suppose -24 - y = -5*o. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 5\/(-3). Let k(m) = 24*m - 345. Let g be k(20). What are the prime factors of g + (0 - 0 - i)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**10\/90720 + a**8\/20160 - a**4\/12 - 3*a**2. Let i(x) be the second derivative of t(x). Solve i(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191525 or -92?\nAnswer: -191525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161707 is divided by 161680?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from bccbbccbcbcccbbbccbb?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z - 25, v + 5*z + 22 = 0. Suppose -v = -7*s + 4*s. Suppose -15 = -5*a - 0*a. Solve 0 = -a*b + s - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -p - 4, 4*p + 106*v = 101*v + 47 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 6. Suppose -2*m + 2 = -3*m. Let c(w) = 3*w - 17. Let p(v) = m*c(v) - 7*t(v). List the prime factors of p(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4, 1\/326, -5869.\nAnswer: -5869, -4, -3\/4, 1\/326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20.5*0.74194\nAnswer: 15.20977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*-2 + sqrt(121) - (4*2*sqrt(121) + sqrt(121)))\/(4*sqrt(11)*1 - sqrt(11)*1*-4).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*a + 220026, -18*a + 440044 = 4*y - 22*a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-14)\/n)\/n)\/(n\/(n*n**(1\/11)\/n*n*n)))\/(n**(-1\/10)*n**(-13)) assuming n is positive.\nAnswer: n**(-199\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56939974 by -91.\nAnswer: -625714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from ctkmvmkvi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u. Suppose -3*o - 13 = -p, u = 4*p + 4*o - 71 - 45. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1170 + 1173. Let f(i) be the second derivative of 17*i**3\/3 - 9*i**2 - 3*i. What are the prime factors of f(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*f - 157, 3*z - 2*f + 50 = 183. Let v(y) = 13*y + 11*y - 55*y + 10*y - 80. Let u be v(-6). Which is bigger: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21907 and -0.0657?\nAnswer: 0.28477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 + 197*u + 302. Let w be r(-48). Solve -38 = -43*a + w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, y: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15600 divided by 8\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 5*y - 8. Suppose 5*d + 0*q = -2*q + 56, d = 2*q + 4. Let m be (-8)\/d*15\/2. What is z(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165.3 or -0.3?\nAnswer: 165.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 8*k = 0. Solve -3*p + 2*p - 3 = k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193fc (base 16) to base 4.\nAnswer: -121033330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/54470?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(1 - (-6)\/(-9)). Suppose 0 = g, h - 5*g - r = -g. Let i = h - 6. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17241, -17246, -17237, -17208, -17153, -17066, -16941?\n\"Answer: p**3 + p**2 - 15*p - 17228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36503202 + 0.2941.\nAnswer: 36503202.2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 768\/1895 - 2\/379. Let w = 7.5 - 7. What is the second biggest value in 5, y, -2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/63 and 91\/114.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-36) - 4\/6. Solve f = w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00231648 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = r - 3*h, 3*r - 4*r + 10 = 4*h. Suppose -30 - r = -4*n. Suppose -2*p = -5*t - n, -t - t + 6 = 2*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1017878 times 7\nAnswer: 7125146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/5 - 2*i**4\/5 - 83*i**3\/5 + 548*i**2\/5 - 1168*i\/5 + 704\/5 = 0. What is i?\nAnswer: -11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 + 45423\/588)\/((-6)\/(-16)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15861667 * 11.\nAnswer: 174478337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1422)\/(-27))\/(2\/36*-2). Let s = r + 528. Calculate the highest common divisor of 234 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000203176 to six decimal places.\nAnswer: 0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 5, x: 3, q: 1, y: 2, v: 1, r: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 - -0.93. Which is the nearest to -2\/3? (a) -0.5 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 438.5 - 439. Let j = 195 - 195.4. What is the fourth biggest value in -7, o, -0.2, j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-4) + 1 - (-161)\/868. Is -0.1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/3)*u**(-3)\/u)\/(u**(-2)*u**(-2\/11)))\/((u**(1\/3))**(24\/7))**(1\/19) assuming u is positive.\nAnswer: u**(-2392\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:51 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12400)\/2976)\/(2\/(-12))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2153033081*w**2 - 2153033081*w**2 + 8*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -206 + 1293302?\nAnswer: 1293096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -273531 * 8\nAnswer: -2188248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5)*(-76)\/(-5)*(2375\/(-152))\/(-25).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:40 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmv when three letters picked without replacement from {w: 1, b: 1, f: 1, v: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144047 and 5080416.\nAnswer: 2585931744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - -3) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(5*c + 3*c - 4*c)*(-4*c + 4*c - c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21a52 - 98b4?\nAnswer: -2b636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3507007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -70. Let v(g) = -g**3 - 7*g**2 - 7*g + 1. Let u be v(h). Suppose 18*l = u*l + 3157. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993936 is divided by 1767.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 58*y**4 + 808*y**3 + 926*y**2 - 809*y - 868 = 0 for y.\nAnswer: -1, 1, 28, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 0 + 0 + -2. Let y = -5.1 - -5. Put v, y, 1 in increasing order.\nAnswer: v, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 45 = 63. What is the remainder when l is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3572638?\nAnswer: 2, 89, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 43*r**2 - 42*r - 2. Determine t(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. What is the first derivative of 2*m + 4*m**2 + 3*m - 1 - n*m wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 627 and 30951?\nAnswer: 340461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, z: 4, c: 2, g: 9}. Give prob of sequence zzzf.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + (-741)\/(-21). Let m = -18 + i. Suppose -403 = -10*f + 87. What is the remainder when f is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:07 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2442, 2451, 2462, 2475, 2490?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.18 - 0.18. Let b = f + -17.9. Let a = b + -4.1. Sort 2\/17, a, 3 in decreasing order.\nAnswer: 3, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.5 + -0.5. Let u = 4.999982 - m. Round u to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6588, 0.3, 5, -5, 0.2?\nAnswer: -6588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-36)\/(-8))\/(-3). Let v be 110\/(-3) - (-4)\/6. Let l be (54\/8)\/(-9)*v. What is the greatest common factor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 307. What is the least common multiple of 14 and s?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 28367.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 239. Find the common denominator of (d\/64)\/(1\/(-4)) and -21\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790875?\nAnswer: 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831874512.\nAnswer: 2, 179, 988783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 + 10*i + 11. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/7 + 396396\/1078 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24231322 - -110?\nAnswer: 24231432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138228?\nAnswer: 2, 3, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -269*t**2 + 2*t. Let i(v) be the first derivative of 81 + 22*v**2 + 175 - 23*v**2 - 21. What is i(s(y))?\nAnswer: 538*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -16*v. Let a(d) = d. What is 8*a(l) + b(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqhpqqupq. What is prob of picking 1 u and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 23 + 403. Is -142 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188 is divided by 66?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1235*j**2 + 39*j. Let u(d) = 65*d**2 + 2*d. Let a(w) = -12*w + 3. Let r be a(-3). Let t(f) = r*u(f) - 2*s(f). Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 1. Let r be o(-1). Let c be (2 - 10\/r)*-40. Suppose 0 = 5*p - 0*p - c. Solve -4*l + p = 0, -a + 3*a + 1 = 5*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*m - 80, -a - 3*m = a - 66. Suppose 0*c + 4*c = 4*o + a, -3*c + 41 = 4*o. Suppose -539 = 4*p - c*p. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (1 + sqrt(2736))**2 - (4 + sqrt(19)*-3).\nAnswer: 39*sqrt(19) + 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3104.9 + -3278. What is c rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxpxsumxpxsupxu. Give prob of sequence uumu.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2010374686.93087 - -2010355840. Let q = -18848.2 - c. Let n = 1.27 + q. 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 b = -59 - -58.99999424. What is b rounded to seven dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbcfzbzbffbbfz. Give prob of sequence bzb.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11233, 11408, 11919, 12934, 14621, 17148?\n\"Answer: 28*w**3 - 21*w + 11226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404 + -1005. Let h = 931 + n. What are the prime factors of h?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 99 in descending order.\nAnswer: 99, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s - 53. Let x(d) = -5*d - 18. Let h = 217 + -200. Give h*x(u) - 6*p(u).\nAnswer: -u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) 2 (b) -0.1 (c) -4 (d) -10 (e) 14 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.350195 + 0.050195. Let g = -4\/13 - -38\/39. Which is the fourth biggest value? (a) 4 (b) k (c) -3\/4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - a**3 + 0)*(6 - 8*a**2 - 6).\nAnswer: 8*a**5 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (37\/(-4))\/(12\/(-96)). Suppose -72*l + 10 = -u*l. Which is the second biggest value? (a) -17 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:11 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msxzxxxj. What is prob of sequence xj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 - 168*l**4 + 1316*l**3 + 9568*l**2 - 12720*l - 20800 = 0.\nAnswer: -5, -1, 2, 20, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 73 = -4*c, 5*a + 3*c + 2*c - 125 = 0. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 605 + -606. Let f = 4\/69 + -158\/345. Sort f, k, 0.\nAnswer: k, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586a (base 11) to base 9\nAnswer: 11504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85561318 and 2.\nAnswer: 171122636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011001001 (base 2) in base 5?\nAnswer: -132241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 5 - 7 + 13 + 0. Let h be z(6). Solve -2*j = 3*s - 1 + 3, -5*j - h = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -15 + 24 + -8 + -6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001204 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0853 at most as big as 52849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.099 and -0.0512427.\nAnswer: 0.0477573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 448905993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/1260 + a**6\/360 - a**5\/120 - 31*a**4\/24 + 14*a**2. Let v(i) be the second derivative of d(i). Calculate v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = g + 3745. What is the remainder when 1497 is divided by g?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29447*d**3 + 3*d**2 + 3*d + 9875 wrt d.\nAnswer: 176682*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4454629, 4454621, 4454613, 4454605, 4454597?\nAnswer: 4454589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 16*z + 2921 = -21*z, 0 = -3*d + 2*z + 8750. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 > 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + m**2 + 3*m + 15. Calculate x(4).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265549*w**5 - 595334*w**2?\nAnswer: 15932940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 1)*(5*x + 2*x + 6*x).\nAnswer: 65*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**7\/140 - 11*n**5\/120 - n**3\/3 + 8. Let x(w) be the third derivative of j(w). What is the second derivative of x(r) wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, i: 1, g: 7}. What is prob of sequence iz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 2970*x - 18000.\nAnswer: 5*(x - 6)*(x + 600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12817*n - 113. Let p be a(-30). Suppose -4*h + 4 = 0, -h = -4*t - 4*h - p. What is t rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z - 3 + 0)*(0*z**3 - 3*z**3 - 2*z**3) + 21*z**4 - 40*z**4 + 25*z**4 - z**4 + 3*z**4 + 0*z**4 + (z**3 + z - z)*(5*z - 5*z + 2*z).\nAnswer: 20*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-388 - -356) + -32 + 2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -3*b, -2*q + 0*q + 2 = 4*b. What is the remainder when q + (45 - -2) + -3 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 42*h + 35. Let u be r(-13). Let j(s) = 3*s**2 - 10*s - 19. Does 4 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/413 or 0?\nAnswer: -17\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.1321?\nAnswer: 0.3963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/14)\/(((-6)\/28)\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**19)\/b*b*b*b\/b**(8\/3)*b*b assuming b is positive.\nAnswer: b**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 3*o**2 + 2*o + 15. Calculate the remainder when l(4) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 5. Let c(i) = -1 + 0*i + 4 - 4 - i. Let u(l) = 10*c(l) + 2*q(l). Let g(v) = -3*v. Give g(u(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20180?\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5105*p**2 - 5115*p**2 + 3.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1552\/194*-1*(-2)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10354*j - 1018100 = 173*j for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 16\/3*v**3 - 5*v + 0*v**2 + 0. Let x(n) = -n. Determine b(x(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0 + -5 + sqrt(128) + 1*sqrt(128) + 5 + 0)*-3)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-20)*(0 - 2696). What is l rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.391 + -8.81. Let m = x + -0.081. Let d(z) = z**3 - 8*z**2 - 9*z - 1. Let o be d(9). Which is the nearest to 1? (a) o (b) 2\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11884, 12281, 12680, 13081, 13484?\n\"Answer: v**2 + 394*v + 11489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10071*g**2 - 45*g - 6. Let i(q) = 13*q. Calculate b(i(a)).\nAnswer: 1701999*a**2 - 585*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 3 + (3 - 3 - 11)*(-6 + 0 + 4))*(-4*r + 392 - 507 + 2*r)*(0 + 0 + r**3).\nAnswer: -52*r**4 - 2990*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/12)\/27*1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**(-2)\/x)\/x))*x)**(-2\/65)\/(x**2*x*x*x**(-12)) assuming x is positive.\nAnswer: x**(526\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 1\/42 (c) -0.1 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w, -8 - 11 = -2*m + w. Let k(d) = -d**2 + 17*d - 9. Let g be k(m). Is 595\/g + (-4)\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5592*l - 54308. Calculate h(10).\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 22 = -2*b, 8*b = -3*p + 4*b - 39 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 11 = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 310608*m + 8039777472.\nAnswer: 3*(m - 51768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or -4514?\nAnswer: -4514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 18*k - 54. What is i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 10*i - 2. Let a be j(11). Suppose a*l = 15*l + 30. Sort 5, 0.5, l, 3\/2 in descending order.\nAnswer: 5, 3\/2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 858 - 780. Put -2, 3, s, 0.4 in ascending order.\nAnswer: -2, 0.4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6897 + 22469. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a factor of 186022980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130.6 + -124. Let q = z - 6.1. Let m = 0.1 - 0.1. Which is the nearest to 0.1? (a) 2 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -0.13\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 252*h**2 + 42*h - 42. Let p(i) = i**3 - 6*i**2 - i + 1. Let x(j) = 42*p(j) + y(j). Let l(g) = 14*g**3. What is 14*l(f) - 4*x(f)?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 0.2 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + y + 3. Let f be h(-3). Suppose 0 = 3*s - 4*s + f. Let r be (-12)\/(-45)*(-10)\/s. Is 1\/4 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2\/2 + 8*j + 3. Let q be m(-4). What is the highest common divisor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780 + 782. Solve -2*p + 4 = -4*x, -4 = l*p + x + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 327698057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81505.\nAnswer: 5, 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991710 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 11. Let k be i(-8). Suppose 5*n + 3*m - 25 = 0, -3*n = k*m - 2*m - 15. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/424 - 18\/(-4))\/(25\/170).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(41 - 3*o + 7*o - 2*o) in the form t + k*o and give t.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - d + 3*d - 25 = 0, -4*d + 22 = 2*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 1. What is t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -148243, 4, 0 in descending order.\nAnswer: 4, 0, -148243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(805\/207))\/((-3)\/20). What is the greatest common factor of q and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 3. Suppose 47*t = 40*t + 21. Give p(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -10) + -2 - 4*1. Solve -4*j - 18 = -3*c, -c - 11 = 3*j - x*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101 - (-4704)\/(-280)) + 137?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435279?\nAnswer: 3, 13, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.824 - -0.83. Let k = x + 0.128. Round k to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 45*v + 236. Let o be p(-6). Let q = 0.44 + -0.04. Let y = -0.2 + q. What is the nearest to y in o, -2\/11, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -124. Let l = a + -78.9247. What is l rounded to three decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -46*y**3 - y**2 + 6*y + 22. List the prime factors of o(-3).\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 28 = 196. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 9, s: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30053*5\nAnswer: -150265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0*x + 3*x)*(2 - 1 - 2) + 21*x - 86*x + 37*x to the form i + o*x and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 200. Find w, given that -4*w**3 + 13\/5*w**2 - 2\/5*w + 9\/5*w**u + 0 = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -85 + 95 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 214145, 856587, 1927321, 3426347, 5353665, 7709275?\n\"Answer: 214146*c**2 + 4*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + -ee5?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**7\/5040 + 31*x**6\/720 - 11*x**5\/20 + 67*x**2 + 3. Let h(q) be the third derivative of s(q). Give h(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 2\/1203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/3 - 7*z**4\/3 + 5*z**3\/3 + 7*z**2\/3 - 2*z = 0. Calculate z.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3 + q - 1\/6*q**3 + q**2. Let o(p) be the first derivative of u(p). Determine o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -57, -107, -129, -93, 31, 273, 663?\n\"Answer: 5*t**3 - 31*t**2 + 10*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 40*p - 102. Let d be o(26). Let h = d - -418. Solve -18 = -2*y - h*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 206 (b) 38 (c) 3 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17895373 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1323806, -2647596, -3971388, -5295182, -6618978?\nAnswer: -7942776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r**2 - 2*r - 4. Let p be c(4). Suppose p*s - 40 = 16. Let y = 26 - s. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422152 (base 6) to base 11.\nAnswer: 55822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 698898087 and 2763.\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 129?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684d (base 14) to base 13.\nAnswer: 8315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992063289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2\/15*d**4 + 8\/15*d**3 + 8\/15*d - 4\/5*d**2 - 2\/15 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46368 = 7869*o - 7953*o. What is the greatest common divisor of o and 1836?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-2)*((-518)\/(-714) - (-3)\/(-51)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -76 + 1 + (20 + -12 + 4 - 9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 49 in descending order.\nAnswer: 49, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/100 + 9\/25. Let u(i) be the second derivative of -1\/4*i**4 + c*i**5 + 0*i**3 + 0 + 2*i**2 - 2*i. Determine o so that u(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54 from 18.94.\nAnswer: 72.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-9)*(-24)\/(-20)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1635, 13400, 45341, 107550, 210119, 363140, 576705?\nAnswer: 860906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -156.91. Which is the second biggest value? (a) -2 (b) -0.2 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*c*s**3 - 12114*c*s + 11677*s**5 + 28*s - 2 wrt s.\nAnswer: -612*c*s + 233540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Let w(c) = 2*c**2 - 3*c. Let z be w(6). Suppose 39 + z = 3*s - 3*t, 0 = d*s + t - 125. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -664 in -0.3, 3\/5, -2\/13, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 564944230 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*s - 323*s - 455 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122010101210 (base 3) in base 16?\nAnswer: -524c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 13) to base 10.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*j - 22, -15*n + 18*n = j + 11. Solve n*y - 29 = 2*g, -5*y + 17 = 3*g + g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 16. Let s be g(-11). Is s at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2422\/11 - -220. Suppose -5*q = -5*j + 20, 5*q - 5*j = 2*q - 14. Sort z, -2, q.\nAnswer: q, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 16) + -15 + -14 + 170 + -15\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80491.\nAnswer: 80491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 2183?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 463164?\nAnswer: 6484296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*q - 16549 - 52085 = 64*q - 135*q for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142\/3 or 27.723?\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - 3 + 3)*(2 + i**2 - 2) - 6*i**3 + 0*i**2 + 0*i**2)*(5436 - 5436 + 40*i).\nAnswer: -280*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -63427431?\nAnswer: -63427432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628993 is divided by 208993.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1464, 5825, 13120, 23343, 36488, 52549?\n\"Answer: -m**3 + 1473*m**2 - 51*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*h - 2 = -a, -1 = a + 3*h. Suppose -2*f + a*i + 14 = 0, 5*f - 3*i - 29 = -0*i. Solve 2*x - 14 = -f*w, 22 = -0*w + 5*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2165 + -2149. Let g(t) = 32*t + 9. Let z be g(8). What is the first derivative of -26*w**3 - 256 - p*w**3 + z wrt w?\nAnswer: -126*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/((-300)\/120))\/((-1)\/(-25))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.31186 micrograms in nanograms?\nAnswer: 51311.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 0.3383.\nAnswer: 0.3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6061\/7 or 1\/793?\nAnswer: 1\/793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -36*h**4 + 324*h**3 + 330*h**2 - 15*h - 30. Let f(r) = 5*r**4 - 46*r**3 - 47*r**2 + 2*r + 4. Let a(i) = 2*b(i) + 15*f(i). Factor a(c).\nAnswer: 3*c**2*(c - 15)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/7 + 1896*g\/7 = 0. Calculate g.\nAnswer: -1896, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*i + 28 = 0, -3*z - 4*i + 20 = -2*z. Let v(b) = b**2 - 4*b + 5. What is the units digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 45 = f, 334*j + 120 = 8*f + 332*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6541, 0, 3, 1.\nAnswer: 0, 1, 3, 6541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let n = 31 - 28. Suppose -n*l + c*l = -69. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)*y**(-1\/2)*y**(3\/4)*y\/y**(1\/2) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-4))\/(45\/8934). Let p = v + -149. Let z be (0\/1)\/(-4 - -1). Do p and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -451*g**3 - 82*g + 13. Let f(j) = 225*j**3 + 41*j - 7. Let z(c) = 7*f(c) + 4*l(c). What is the second derivative of z(a) wrt a?\nAnswer: -1374*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 45 = -2*r. Let t = 17 + -9. What is the least common multiple of r and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(325) + 4 - (3 + (sqrt(325)*-1 - sqrt(325)) + sqrt(325) + sqrt(325)))**2.\nAnswer: 30*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n**2 - 11*n + 11. Let u(j) = -7*j**2 + 4*j - 4. Let m(b) = 17*u(b) + 6*x(b). Let t(s) = s**2 + 2*s - 2. Calculate 3*m(o) - 4*t(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*d**5\/6 + 203*d**4\/6 + 331*d**3\/6 + 265*d**2\/6 + 52*d\/3 + 8\/3.\nAnswer: (d + 1)**3*(7*d + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/11 - 18*u**3\/11 + 6*u**2 - 70*u\/11 + 24\/11.\nAnswer: -2*(u - 1)**3*(u + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51819*f**4 + 217317?\nAnswer: -207276*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 8. Let r = -6 - h. Let n = -12 - -19. Calculate the remainder when r is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 13. Calculate the least common multiple of 11 and t(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1730580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r + 8. Let n be 2 - (1 - (-3 + 0)). List the prime factors of h(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -291*k**4\/4 - 1308*k**3 - 7830*k**2 - 15552*k + 324.\nAnswer: -3*(k + 6)**3*(97*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 863*u - 4295. Let j be a(5). Sort -13, 1, j, 40, 4.\nAnswer: -13, j, 1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 - 2?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 3*o**2 - 2*o - 3. Let s(w) = 4*w**3 + 5*w**2 + 3*w + 5. Suppose 3*i + 4 - 19 = 0. Suppose 0 = i*u + 3 - 18. Give u*s(h) + 5*c(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-52)*((-32)\/40)\/((-12)\/(-20))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2}. What is prob of sequence qq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/5)*(-129)\/215*14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90572808, -181145614, -271718420, -362291226, -452864032, -543436838?\n\"Answer: -90572806*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 805 + -799. Let m be (z + 36\/(-9))\/(31\/1). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 3. Let c(a) = 2*a - 3. Let h(u) = -5*c(u) - 4*t(u). What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.13001 times 0.01\nAnswer: -0.0013001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3486*y**3 - y - 7 wrt y.\nAnswer: 20916*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -36. What is the tens digit of 2\/((-81)\/(-78) + v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19435788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8914896 milligrams?\nAnswer: 0.0008914896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.464 + -95.464. Which is the nearest to 0.4? (a) 2 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 1:44 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/3 + 412*o\/3 = 0.\nAnswer: -412, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.2. Let y(v) = 2*v**2 + 97*v - 1529. Let z be y(-61). Which is the biggest value? (a) 0.2 (b) z (c) p (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/25)))**(-18) assuming q is positive.\nAnswer: q**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 10. Let b(x) = 3*x**2 + 8*x + 7. Let q(p) = -4*p**2 - 9*p - 8. What is c*q(s) + 6*b(s)?\nAnswer: -2*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k + 29. What is z(14)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*d = -1213, 2*o - 3*d - 439 = 166. Suppose 3*k = -118 + o. What is the smallest common multiple of 14 and k?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191823248.\nAnswer: 2, 11988953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/19, 0.5, -3, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644792827 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2365.562 + -2365.48562884. Let b = g + 7.92362284. Let z = b + -8. What is z rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 2*x**2 + x**2)*(363 - 10328*x + 10327*x + 6064) + (x**2 - 6*x**2 + 3*x**2)*(-3 + 3 - x) to p*x**2 + r*x + q*x**3 + n and give p.\nAnswer: 6427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20109 = 860*g + 4648 - 23239 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(475*n + 446*n - 849*n)*(0 + 0 - 2).\nAnswer: 288*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 6170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -62, -142, -264, -434, -658?\n\"Answer: -c**3 - 12*c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 - (-16 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8082*l*x + 84772*l wrt x.\nAnswer: 8082*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hahhhunsyhssh.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -1, 12 in decreasing order.\nAnswer: 12, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-595)\/(-14)*4\/(-2). Let h be k\/(-40) + -2 + (-245)\/(-56). Factor -3\/8*y**2 - 27\/2 - h*y.\nAnswer: -3*(y + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2355*d**4 + 266*d**3 + 348*d**2 + 117*d - 1?\nAnswer: -56520*d + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3\/5, 8\/11, 8350?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144856543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 12*j**2 - 23*j - 12. Let i be h(-10). Let g be (i\/8)\/(((-45)\/(-24))\/5). Let p be (-5)\/(10\/g) - -6. Solve p*r = -2*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 0*f**2)*(16 - 19*f**2 - 16) + f**4 - 6*f**4 + 4*f**4 - 2*f - 2.\nAnswer: 18*f**4 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4400901 and 346959?\nAnswer: 83617119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*d + 2*u + 368 - 804 - 1816 = 0, -5*d - 3*u - 37 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1022112 (base 3) to base 7\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 7, z: 5}. Give prob of sequence ett.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 + 2*m + 2. Calculate c(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)\/t*t*t)**47*t**6\/(t*t*t\/(t\/t**1))*(((t**7\/t)\/t)\/t)\/(t**(-1\/5)\/t)*t**(2\/5)\/t**0 assuming t is positive.\nAnswer: t**(2416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 35.00136. What is o rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-4)*(-2)\/3. Let m(u) = 13*u**2 + 9*u - 5. Let g(d) = d + 1. Let t(j) = q*g(j) - m(j). Let o(b) = -7*b**2 - 4*b + 4. Determine 7*o(s) - 4*t(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**4 + 0*w + 0 - 1\/30*w**5 + 3*w**2 + 0*w**3. Let t(n) be the first derivative of 2*n**3\/3 - 2. Determine j(t(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiiiiizeiiiziz. What is prob of picking 3 i?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 1215.\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16072, 32141, 48210, 64279, 80348?\nAnswer: 96417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(72)\/sqrt(6)) + sqrt(32) + sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -29*u**2. Determine g(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -3.986.\nAnswer: -8.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 527498.9 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 + k**3 - 4*k**3)*(-3 - 5*k**2 + 2 + 4*k**2).\nAnswer: -k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a + 38. Let f(d) = -13*d + 57. Let z(l) = 5*f(l) - 7*o(l). Let y be z(8). Solve 3*m - n + 0*n = y, 0 = 3*m + 4*n + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70360.81 meters in micrometers?\nAnswer: 70360810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20083 divided by 20083.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4323 and 83\/63273.\nAnswer: 696003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 4*r**2 + 6*r - 6. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6041.93 centuries?\nAnswer: 60419.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -547, -551, -555, -559?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**29*x)\/x*x*x\/(x\/(x**(-29)\/x))*x*x)**42 assuming x is positive.\nAnswer: x**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5262.39 + 4846.4. Let q = f - -416. Let s = 0.1 + 0.9. Which is the nearest to -1\/4? (a) 2\/23 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -421 + 841\/2. Which is bigger: h or -234?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2817 = 4*w, -55*o + 723 = -w - 50*o. Is -703 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48405113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 7. Is 308\/g - (-1 + 2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q - 2. Let r = -12 + 8. Let u be s(r). Let y = 43 + u. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1 - 4 + 4 - 1 + v. Let l(r) = 3*r**2. Calculate l(d(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 y, and 1 q when four letters picked without replacement from yryxxxjxrxqyrxxrxxyq.\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) + (35184447\/1992)\/(-201)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -360 * -0.3\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4853.\nAnswer: -1\/4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493918 by 6.\nAnswer: 246959\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 6*k + 2. Let u(j) = -2*j**2 - 11*j - 4. Give -7*r(c) - 3*u(c).\nAnswer: -c**2 - 9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 - 4*n**2 - 12*n - 2. Let y(z) = -5*z**3 + 3*z**2 + 11*z + 1. Calculate 3*l(h) + 4*y(h).\nAnswer: -2*h**3 + 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 33840\/(-400) + 50.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15819194 is divided by 3661.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/3 - 63875*r**3\/3 + 58544*r**2 - 31932*r = 0. What is r?\nAnswer: 0, 3\/4, 2, 15966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -3*g**5\/20 + 2*g**4\/3 - 6*g. Find the third derivative of i(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2729d8 - 6?\nAnswer: -272a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -0*g. Suppose -w + 63 = g*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*s - 578, 5*l - 149 = 4*l + s. Is 147 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 m, and 1 h when four letters picked without replacement from {m: 8, v: 1, k: 8, h: 1}?\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 7*y**2 + y - 10. Let o(f) = -f + 2. Let z be o(-5). Let u be w(z). Let m be -1*(u + 6\/2). Let h(r) = -r**2 - r + 8. Give h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z - 4. Suppose -o + 3*o = k - 3, 5*k + 41 = -4*o. Let r(c) = 7*c - 5. Give o*r(l) + 5*d(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 14*d + 6. Let l be q(7). Is 10\/l*7402 - (-4)\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -4, 4, -0.155, 22, -64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -74, 4, 96, -5, 17 in decreasing order.\nAnswer: 96, 71, 17, 4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llolllllllll.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzqqzzzzzzzqzzz. What is prob of sequence zzzz?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5150878\/657 - -7840. Let f = 5 + -4. Is f >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Differentiate 6 + 3*u**t + 0*u**3 - 4 wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 38 - (-2548 - -2528).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 590371701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 933812226 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18094 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-160)\/(-6))\/(14\/21). Let n be p\/(-3)*(-6)\/4. Solve a + n = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.353117ml?\nAnswer: 0.005353117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - 1344452?\nAnswer: -1344401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 16*p + 16. Let j be k(-7). Solve j*n + 12 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*o**3 + 2*o**3 + 5*o**4) + 6*o**4 - o**4 - 2*o**4 + (o**3 - 7*o**3 + 4*o**3)*(0*o + 2*o + 0*o) + 3 - o**4 - 3 - 3*o**4 + 0*o**4 + 6*o**4.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53691?\nAnswer: 3, 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let w(a) = -2*a**2 - 2. Suppose -50 = 1791*k - 1741*k. What is k*w(n) + 3*t(n)?\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**0)*f*f**(-1\/3)*f**0\/((f*f**(-13\/4)*f*f)\/f*f))**(-4) assuming f is positive.\nAnswer: f**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 15*m**2 + 25*m - 16. Let l = 45 + -32. Let h be g(l). Let s = 39 + h. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 395, 588, 787, 992, 1203, 1420?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -f - 5*m, -4*f + 16 = -4*m - 8. Let h = 19 - 6. Let l = -14 + h. Which is the closest to l? (a) f (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + z**2. Let n be ((-2)\/3)\/(8 + (-132)\/18). Calculate i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n**(1\/8)\/n))*n\/(n\/((n\/n**(1\/6))\/n)))\/((n*n**(-2\/21)*n)\/(n**(-13)\/n)) assuming n is positive.\nAnswer: n**(-893\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 - 19*u - 16*u - u**2 - 20*u - 25*u**3 + 49*u in the form y*u**2 + i*u**3 + x + b*u**4 + t*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20177 and -5?\nAnswer: 100885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(-1\/14))\/x*x))\/(x*x**(-1\/9)))**(4\/31)\/((x**(-3\/2)\/(x**(1\/6)*x))\/(x**1\/x)**(-2)) assuming x is positive.\nAnswer: x**(4966\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*((sqrt(384)*1 - sqrt(384)) + sqrt(384)))\/((2*sqrt(2592) - sqrt(2592))\/sqrt(6))*1)**2.\nAnswer: 16*sqrt(2)\/3 + 137\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9269 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 4856?\nAnswer: 53416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480272 + 480278. Let f(k) = -4*k + 60. Let m(n) = 3*n - 40. Let t(d) = 5*f(d) + 8*m(d). Determine t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 60073 = 12*m. Let o = -9323 + m. Let y = 8249 + o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385252096 and 72234768.\nAnswer: 1155756288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.1537, -2\/185, 0.1?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*d + 1 + 24*d**2 + 18*d**2 - 45*d**2.\nAnswer: -3*d**2 - 66*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8389400 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(6*l**4 - 3*l**4 - l**4) - l**4 + 2*l**3 - 2*l**3 - 178*l**4 + 177*l**3 - 177*l**3 to r + i*l**3 + s*l**2 + p*l + y*l**4 and give y.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s + 45*s - 4 = 3*n, -2*n = -4*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943 a factor of 1551815306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -120.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 30 = 8*k. Is (2 + 0\/(-4))\/(k\/(-2451)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 46. Suppose 4*m + 10 = -r*s - 2*s, m + s + 2 = 0. Suppose m = -t + 7*t - 8*t. Solve t = -5*x - 3 - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/3 - 3*m**2\/2 + 6*m. Suppose 2 = -n + 5*y, -8 = 3*n - 4*n - 5*y. Let b(x) = -4*x - 5. Determine n*b(z) - 5*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 8 = j + 4, -3*q + j = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 2*n**2 + 2*n**2 - n + 0*n**2. Is d(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.339001473 - -3.339. Round t to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13444, -13420, -13396, -13372, -13348, -13324?\nAnswer: -13300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12380, 24644, 36852, 49010, 61124, 73200, 85244, 97262?\nAnswer: 109260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkwgq. What is prob of sequence qk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/8 - (-1)\/4. Let i = -3 - f. Let r(v) = v**2 - 3*v + 3. Determine r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (550\/(-825))\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -282.4 - -379.4. What is the third biggest value in l, 4, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 0 - 15*s**2 + 0.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -101. Let x(n) = 3*n**2 - 30*n - 14. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 1470 = -52*f + 20*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:36 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p + 2*l, p = -l - l - 2. Solve -5*m + 16 = -3*v, -4*v = -p*m - 9*v - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 3103?\nAnswer: 3103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1918 + 1978. What is the lowest common multiple of 610 and b?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 4*q + q - 2*j, 5*j = 3*q - 600. Suppose 3*b + b = q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + -1 + 4\/(-2). Let t(u) = u**3 - 11*u**2 + 3*u + 20. Let v be t(8). What is the tens digit of (-14 - v)*-2*(-2)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4) + 0 + 9. Let y = -5 + b. Is 21\/12*(3 + y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274786049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233463639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861506.\nAnswer: 2, 4430753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2447402 from 410610.\nAnswer: -2036792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.1, 11, 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 417 - 21?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200774 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 - 24*z - 13. Calculate m(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274134 plus -49178430?\nAnswer: -47904296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10623?\nAnswer: 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.0685065703 and 0.23.\nAnswer: -3.8385065703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1 + 11*q - 5 - 8*q + 3. Calculate w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 61*q - 185. Determine m(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1. Let j(a) = 3*a - 9. Let f(n) = -4*n + 11. Let g = 221 - 224. Let q(r) = g*j(r) - 2*f(r). Calculate 11*d(i) - 2*q(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = u - 19. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.0237 - 0.0237. Which is smaller: 0.04 or k?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/7))**(-29))**(-13) assuming c is positive.\nAnswer: c**(2262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*w - 2237 = 0, 131*d - 132*d + 2*w + 1122 = 0. What is the remainder when d is divided by 282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Let i = -5553 + 5560. Solve i*q = t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28810*g - 28721*g + 2670 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5758452.\nAnswer: 2, 3, 7, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -5 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 + 105*s - 9 + 69*s**2 - 64*s**2 - 103*s to t*s + w*s**3 + b + o*s**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 76. Suppose 4*o = -48 + 208. Calculate the highest common divisor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2031274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 - 3623?\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-72)*4*-16 - 6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9102116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/12 - 2)*388 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 > -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -485 - -830. Let y(b) = 3*b**3 - 18*b**2 - 19*b - 11. Let l be y(7). Suppose a = l*d - 36. List the prime factors of d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -3, -4 in descending order.\nAnswer: 0.3, -0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128457194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + k - 4. Let w be m(0). Let p = -2.2 + 0.2. Which is the third biggest value? (a) 3 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -164545\nAnswer: 16454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*v + 117*v + 106*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*j + 54 - 52 + 271*j.\nAnswer: -26*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114239 and 5751.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 190*u**2. Let m(l) be the first derivative of 2*l**2 + 32. Give t(m(w)).\nAnswer: 3040*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 263666903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/8 - 465\/(-248). Let x = 412\/3 - 136. Find y, given that -x*y + 2\/3*y**h + 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -15. Suppose 0 = -y*g + p + 17, -9 = -g - 0*p + 3*p. Solve 6*l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/48 - a**3\/6 + 2*a. Factor s(f).\nAnswer: f*(f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from jrjrjejrrruj.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i + 17. Calculate m(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 33*y - 13. Give o(16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 9*h + 4. Let q be (-70)\/8 - 3\/12. Let d be b(q). Solve -4*x + 59 = -d*v + 19, -2*x + 35 = -5*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 + 2) - -5. Let i = -89480.5 + 89481. Which is the biggest value? (a) -2 (b) w (c) 3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 + 14?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + l. Let t be z(2). Let j(d) = -d - 7. Let b be j(t). What are the prime factors of -2 - (b + 25)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334344130.\nAnswer: 2, 5, 7, 19062059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let p(q) = q**3 - 7*q - 3*q**3 - 3 + b*q**3 - 7*q**2. Is p(8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 6084 = 7356 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 7*i**2 - 1. Let j be w(7). Let l(h) = 4*h**2 - h. What is l(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.1. Let k = 0.4 + 2.6. Let i = k - 3.4. Sort i, -3, g.\nAnswer: -3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*0.4244.\nAnswer: 0.008488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -135238*k - 540959. Give u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -7 + (-4 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2200213 is divided by 382?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/((-8)\/20). Let f(l) = -l**3 + 2*l**2 + 4*l - 1. Let g be f(k). Solve -8 = -g*h + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = 95*c - 556575. Is c greater than or equal to 4526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18398 - 18403. What is the third biggest value in o, -0.107, -3, 1\/9, 1?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/20*(-2)\/((-6)\/(6\/2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + -2)*(0 - -1). Let c be -6*(-30 - (-1 + -1)). Suppose 2*u - m = -u + c, 2*u - 112 = -2*m. Calculate the greatest common factor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148399358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*a + 2*a = 9, 2*l = 2*a + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -248 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - 17*u**2 + 3*u + 9. Let y(j) = -2*j**3 - 9*j**2 + j + 5. Let k(h) = 3*d(h) - 5*y(h). Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, s: 7, r: 2, w: 9}. Give prob of picking 3 s.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4 + (-4 - (0 + -1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101000 - -10?\nAnswer: 10111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33097658.\nAnswer: 2, 11, 19, 79181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222101011202 (base 3) in base 15?\nAnswer: -2bb34e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 179\/7 - (-6)\/21. Let f = y - 2263\/84. Let u = f + -11\/156. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*a**5*y - 1029*a**3*y - 19*a**2 + 7*a*y + 50*y wrt a?\nAnswer: 2040*a**2*y - 6174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 6636594?\nAnswer: 39819564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-16)*p)*(p*(p*p**(4\/11)\/p*p)\/p*p)\/p*p*p assuming p is positive.\nAnswer: p**(213\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 190?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17334020 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*d - 20 + 0 = 0, -u + d + 5 = 0. Calculate the remainder when -1 + 3 + -4 + 25 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4.3, 21\/4?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/((-19)\/133)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 35*a**3 - 2837*a**2 + 157*a + 406. Give y(81).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -2*g + 59. Solve -4*l = -2*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164943, -164953, -164977, -165021, -165091, -165193, -165333?\n\"Answer: -g**3 - g**2 - 164941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40428598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -801*l - 7. Let u(h) = 801*h + 8. Let d(k) = 7*g(k) + 6*u(k). Let z be d(-1). Round z to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.27 + -1.73. Let l = a - -2.2. Is l != -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(2 - 3\/3). Let j = v - -1. Suppose -4 = j*d - 19. Calculate the greatest common factor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 325\nAnswer: -2\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {c: 4, i: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294084 and 2646756?\nAnswer: 2646756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-11 - -33 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 303 = l. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/11495070 and 32\/119385.\nAnswer: 80465490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4\/7, 2\/269, 2\/11, -0.11.\nAnswer: -1\/2, -0.11, 2\/269, 2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 16360*l + 261*l**4 + 4453 + 1007 + 4119*l**2 - 271*l**4 + 2685*l**3 + 8106*l**2 = 0?\nAnswer: -2, -1\/2, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 64124 + 180220. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -0.0516, 2\/25, -2\/11, -1?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-2)\/4*-1). Let j(x) = -3*x - 28. Let t be (-198)\/16 - 9\/(-24). Let g be j(t). Put 0, g, l in decreasing order.\nAnswer: g, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(-9*(-1)\/63)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148.7 - -195.7. Which is the third smallest value? (a) 4\/9 (b) q (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zznn when four letters picked without replacement from nzznzzzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1385846 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0*x)\/x*x)**40*x**(-1\/4)*x\/(x\/x**2)*x assuming x is positive.\nAnswer: x**(331\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -624*z**4 - 2*z**3 - 2*z**2 - 2646*z wrt z.\nAnswer: -7488*z**2 - 12*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/120 - 4\/16. What is the smallest value in 0, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20\/(1*(-3)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -543 - -1275. Let v = d + -691. Calculate the remainder when 121 is divided by v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from jooqomjmjojojjjomqj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17959030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-7))\/((1\/4)\/(2898\/(-3312))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 676501 + 3811211. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-58)\/((-8)\/4). Let y = -18 - t. Let i = y + 53. Solve 5*n = -5*x + x + 16, 5*x = -3*n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018 plus -67?\nAnswer: -66.9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 14 = 2*i. Are -7 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -514*d**2. Let x(t) = -8*t + 2. Calculate x(u(v)).\nAnswer: 4112*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 32. Let g(j) = 6*j - 1. Let k be g(1). Suppose 3*p = k*p. Solve 0*z + 4*z + b = -2*u, p = 5*z + 3*u + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13271980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 24 = 5*a. Let j(k) = 43*k**2 + 28*k - 4. Let w(z) = 43*z**2 + 29*z - 3. Let q(l) = a*w(l) - 3*j(l). What is the second derivative of q(y) wrt y?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h + 2. Let d be c(5). Let n be ((-32)\/3)\/8 - 43\/d. Suppose i - 12 = -3*f, 5*f = -4*i + 7 + n. Solve a + i = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94742409 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -15*n + 9. Let j(f) = 3*f - 2. Let u(v) = -9*j(v) - 2*p(v). Let s be (2 + -3)\/((-2)\/10). Suppose -s*h - d - 12 = -2*d, 3*d = -9. Determine u(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 37, 58?\n\"Answer: 21*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 - 5*h - 5. Suppose q + 34 = 3*v + v, 5*v = -4*q + 53. What is the remainder when w(-4) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86961 take away 271944?\nAnswer: -184983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*i + i + 23, v = i - 8. Suppose 5*k - u = -10, -4*k - u = -i*k - 6. Let x be (-2)\/(-7) - 17\/35. Is x >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 1, y: 6, l: 3, n: 1, k: 2}. What is prob of picking 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-21) + 1 + -3. Let w = -0.058 - 2.942. What is the third biggest value in o, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/52 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*y + 2)*(4 - 4 + 2*y) - y**2 + 4 - 4 + (0*y - 2*y + y)*(y - 3*y + 0*y) + 82*y**2 + 99*y**2 - 22*y**2 to the form g*y + v + r*y**2 and give r.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 8993?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 101202615?\nAnswer: 101202620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -367856346*u**6 + 2*u**2 - 12*u - 1495019 wrt u?\nAnswer: -44142761520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 863 divide 7910040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.667102 kilograms in milligrams?\nAnswer: 667102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*k + 1864*k = 20*k + 14355 - 52733 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1426396 and 16.\nAnswer: 5705584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7198.705 weeks to milliseconds.\nAnswer: 4353776784000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491 - 246. Suppose -4*x = -3*s - j, -4*s - x + 30 = 363. What is s rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/48*((-56)\/105)\/(-2).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369040 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = 21*v - 12*v. Let g = v - -20. Which is greater: g or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2145608498 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3169620.\nAnswer: 2, 3, 5, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.019 + 0.231. Let q = t - 3.212. Let s be 3*-3*4\/342. What is the second smallest value in s, 2, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -i, 3*m - 19 = -2*i - 0*m. What is the first derivative of -2*a + 4 - i*a + 0*a - 8 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k + 40. Let t = -3052 - -4286. Suppose 1239*c - 25 = t*c. Determine n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3508266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627952227?\nAnswer: 19, 223, 883, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - v + 20. Let z be m(-10). What is the common denominator of 71\/16 and (-81)\/(-270)*z\/48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2448 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 110*c - 3. Let r be -6 - 3245\/(-33) - (-1)\/(-3). Let h(y) = -3404*y + 92. Let w(t) = r*x(t) + 3*h(t). Let g(f) = -f. Give w(g(p)).\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.55196 millennia in centuries?\nAnswer: 875.5196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*k**2*s**2 - k**2*s - k*s**2 - 2*k*s + 252*k wrt k?\nAnswer: -696*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 9. Suppose -4*a - 18 = -5*u, -4*a = 6 + 2. Suppose -2*f + 6 = -4*r, -r = u*f + 3*f - 15. What is the units digit of z(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -1\/5*w + 1\/5*w**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262210.2 millilitres in litres?\nAnswer: 262.2102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1661 + -5346?\nAnswer: -10340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003461 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)\/(sqrt(11) + (sqrt(11) - (sqrt(11)*-2 - sqrt(11)))))\/(sqrt(8)\/(sqrt(48)\/sqrt(3))).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 2*x. Let z(v) = 237*v**2 + 2*v + 1. Give -d(q) + z(q).\nAnswer: 234*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4)\/(3 + (-1122)\/372). Let w = 195 + u. Which is the second smallest value? (a) -2 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.62 - 6.28. Let x = 1.7 - -5.3. Let v = l + x. Which is the third biggest value? (a) -0.2 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -50. Let c(n) = -n**3 + 5*n - 3. Let j be c(-3). Suppose -40 = -j*g + 5. Sort -2, 0, x, g in ascending order.\nAnswer: -2, 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5940434, 5940431, 5940428, 5940425, 5940422?\nAnswer: 5940419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5933 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 8*v - 17*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3.8 (b) -1 (c) 0 (d) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4289 = -5*i, 27*l - 29*l + 6 = 0. What are the prime factors of i?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793 - 765 - 2*s**2 + 1591.\nAnswer: -2*s**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4160, -4158, -4156, -4154?\n\"Answer: 2*i - 4162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 2*d, 0 = -2*p - 3*p - 5*d + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 12. Let f(v) = v**3 + 4*v**2 + 2*v - 1. Let n be f(-2). Let l be c(n). Suppose 2*t + 3*r - 4372 = l, -2181 = -6*t + 5*t - 4*r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32101149, -32101152, -32101169, -32101206, -32101269?\n\"Answer: -x**3 - x**2 + 7*x - 32101154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 - 14*g**4 + 6*g**4)*(6*g - 20 + 20)*(-1 - 5 + 5).\nAnswer: 48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 78, 92, 122, 174, 254, 368, 522?\n\"Answer: f**3 - f**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 446 or 481?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3959*c - 3932*c - 3926*c + 4 + 15646*c - 3945*c.\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let h(z) be the third derivative of -449*z**4\/24 - z**3\/3 - 752*z**2. Determine h(u(c)).\nAnswer: -449*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -11*d + 24. What is the second derivative of 0*t**4 + d*t**4 - 4*t - 4*t + 2*t**4 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*x + 18 = 0, 6 = -n + 2*n + 4*x. Suppose -n*z + 3*z = 2325. List the prime factors of (z\/(-15))\/(3\/9).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205434234 (base 6) to base 3\nAnswer: -20211100022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*y - 150*y + 120*y - 105*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + p + 69*p**3 - 43*p**2 - 139*p**3 + 68*p**3 - 44*p**2 in the form l + c*p + v*p**3 + i*p**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + n + 2*n**3 - 6*n**2 - n**3. Let m(i) = 3*i - 24. Let x be m(12). Let v(c) = 14*c**3 - 12*c**2 + 12*c. Determine x*r(a) - v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 494 = 9*m. What is the greatest common divisor of m and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 25585 and 25579 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (30 + -9)) + (0 - 3) - -8.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50427 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-3*u + 2*u - u) + 2*u + 0 + 0 + (1 - 3 + 4)*(55 - 18*u - 52 - 19*u).\nAnswer: -68*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9682*0.37.\nAnswer: -3582.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 284 - 96 - 82 = 88 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 0 - 4 - 3 - 3*f. Let a = -21 + 15. Let l(i) = -i**3 - 6*i**2 - 2*i - 7. Let h be l(a). Give u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/(u\/(u*u\/u**5))*u\/u**(-4\/7)*u*((u*u\/(u**(-3\/4)*u))\/u)\/u assuming u is positive.\nAnswer: u**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -239*q**6\/10 - 157*q**4 + 2948*q. What is the third derivative of b(j) wrt j?\nAnswer: -17208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3744 - 3770. Sort -5, -10\/3, a in descending order.\nAnswer: -10\/3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-374)\/425)*6\/60)\/((-1)\/(-8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + 6 - 5*d**2 + 0*d**4 - 13*d**2 + 27*d**2 + 6*d**4 as h*d**3 + i*d + j + b*d**4 + g*d**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/12 + (-2)\/6. Let t(q) = 4*q**2 - 12*q + 26. Let h be t(v). What is the greatest common factor of 62 and h?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45729.46 micrometers to kilometers.\nAnswer: 0.00004572946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose 11 = -3*i + 4*i + y, -35 = -4*i - y. What is the remainder when i is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1024)*2)\/(sqrt(8) - (sqrt(16)*-2)\/sqrt(2))*-2)**2.\nAnswer: 2048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14467629 and 3128136.\nAnswer: 115741032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438809907.\nAnswer: 3, 47, 3112127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 77?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -18.7 (c) -2.5 (d) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 7*u + 1. Let z be b(7). Let a(v) = -v**3 - 2*v**2 - v + 1. Let r be a(0). What is the greatest common factor of r and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1150 + 3540. What are the prime factors of d?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 10) + 1755\/189?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171924315 is divided by 2143?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -55*s**3 + s + 1. Let q be g(-1). Suppose -q = -7*v + 2*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41895 and 4123.\nAnswer: 1298745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4554 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4082 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2191000 to the nearest ten thousand.\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -98. Let w be d\/((-54)\/1149)*3. Suppose -6*o + 391 = -w. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4226*n - 3637.\nAnswer: -4226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - -10*227\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-5 - -1 - -3). What are the prime factors of 6\/x + 43\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301513 is divided by 1579.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 107604502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -0.5, -2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-9288)\/(-30). Let l = 478 - b. Let s = l - 71. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1621 by -1.\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18076821 and 3668?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = -23*y + 45. Solve -4*b + b = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3324 + 0?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -263, -264, -265?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/9)\/(((i*(i**22*i)\/i)\/i)\/i)*((i*((i*(i\/i**(-10\/11))\/i)\/i)\/i)\/i)\/(i\/(i\/(i*i**(-20)))) assuming i is positive.\nAnswer: i**(-185\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1756, 5987, 12718, 21955, 33704, 47971?\nAnswer: 64762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2)\/sqrt(10) - (2 + sqrt(34)\/sqrt(2)).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 2*h - 6 + 5*h**2 - h**2 - 4. List the prime factors of n(-4).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) + (sqrt(231) - 3*(sqrt(231)*1 + sqrt(231))) + sqrt(231))\/((sqrt(88)*-1)\/sqrt(8)))\/(-3*sqrt(192) - (sqrt(3) - sqrt(300)*-2)))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208635591 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k = 2*v + 105 + 229, v = 2*k - 12 + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 539456?\nAnswer: 539456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*p**2 - 116082*p**3 + 116089*p**3 + 5269*p**2.\nAnswer: 7*p**3 + 4289*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b9 + 12b34?\nAnswer: 12559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501415 - -55100?\nAnswer: 1000515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -69) + -32 - 13?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (9 - 4))*-5. Solve 4*d = -2*o - 20, d - 2*d = -2*o - v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 8*u**2 + 8*u + 7. Let i be o(7). Suppose 16 = 4*m - i. Let k be (5\/4)\/(2\/m). Solve -g - 3*g = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -702*r**5 - 93*r + 2 wrt r.\nAnswer: -14040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + 2*sqrt(432) + -4*(sqrt(432) - (-2 + sqrt(432))) + sqrt(432) + 1))**2.\nAnswer: -2304*sqrt(3) + 62272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - c - 20 = 2*c, c = 3*t + 8. Let u(q) = 6 - 2*q - 4*q**2 + q**3 + 2*q - 2 + 5*q. Let r(p) = p**3 - 3*p**2 + 4*p + 3. What is t*u(f) + 5*r(f)?\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/1)\/2 - 2. Let t(q) = -q. Let h = 18 + -20. Let c(i) = 3*i + 4. Let y(u) = h*t(u) - c(u). What is y(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-175)\/70)*(-2)\/((-64)\/152)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163b54 (base 13) to base 14.\nAnswer: -104c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from {l: 1, r: 6, s: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1943, 3961, 6025, 8135, 10291, 12493?\n\"Answer: 23*x**2 + 1949*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5792 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((1\/10)\/((-3)\/(-6))). Suppose a*x + 1113 = n + 84, 613 = -3*x + 5*n. Let t = -88 - x. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 4.03. Let y be (8\/(-9))\/2 + 3. Let c = -26\/9 + y. Sort c, l, 3 in decreasing order.\nAnswer: 3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166554 + -2?\nAnswer: 166552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-117)\/(-624)*-16 - (1 + 0)*-111. Solve 3*z + 4*n + o = 88, 0 = -4*z - n - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37792 divided by 8?\nAnswer: -4724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(3168) - sqrt(3168)*2))\/(((-2*sqrt(56))\/sqrt(7))\/(sqrt(448)\/sqrt(7))) + -3.\nAnswer: -720*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, -2\/15, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from aattta.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -9*u + 49, -4*u + 1521*w = 1525*w - 28 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -3, 30, -8, 1 in increasing order.\nAnswer: -8, -3, 1, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)\/(2\/(-5 - -3)). Solve 0 = 2*z - d*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-35)*n*n))\/n)\/n**(-28)*n\/(n*n*n**(2\/99)*n)*n\/((n*n**2)\/n*n*n) assuming n is positive.\nAnswer: n**(5542\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 1, d: 2, b: 1, z: 1, w: 2}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Let l be d(-5). Suppose 0*c = l*c. Solve 4*f - 3*w + c = 21, 0 = -2*f + 5*w + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46124 = -3834*h + 11618 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70418506.\nAnswer: 2, 59, 596767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.7 and 21020298.9?\nAnswer: 21020306.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-24)\/14. Suppose 4 = -3*k + 5*k. Suppose 10 = -4*s - k. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.3. Suppose u = 3*p - 22, 0*p + 5*u + 2 = -3*p. Suppose -p*v + 1 = -5*v. Which is the biggest value? (a) v (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -12\/5*r - 3\/5*r**2 - 4\/5 + r**3 = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 10)*(-14)\/28. Let i(k) be the third derivative of 7\/30*k**5 + 0*k - 2\/3*k**3 - 6*k**m + 0*k**4 + 0. What is the first derivative of i(x) wrt x?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98*28\/((-2352)\/(-21))*2\/6*-2?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 60*n - 56*n + 116*n. Let j(s) = -8*s + 3. Calculate u(j(d)).\nAnswer: -192*d**2 + 144*d - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 104*l + 4*r = 390, 0 = l + 4*r - 197. Is l a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b4a (base 14) to base 10\nAnswer: 4966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 33 = 3*i, 0*m - 7 = -2*i - m. Suppose 4*z - 16 = -2*x, 0 = 4*z + 2*x - 7*x + 12. Calculate the lowest common multiple of i and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6374?\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c - 17*c + 2401 + 60*c - 45*c.\nAnswer: -41*c + 2401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1250 - 50*s**4 + 14*s**4 + 1262)*(0*s + 2*s + 0*s).\nAnswer: -72*s**5 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243173*u**4 - 37631*u?\nAnswer: -2918076*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 20. Calculate the remainder when (-1 - -2)*f\/(8\/298) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12. Let t(h) = -24*h. Is 12 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/64 and -99\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*c + 100*c + 162. Calculate the remainder when 107 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 453, 907, 1361, 1815, 2269?\n\"Answer: 454*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(32) + -2.\nAnswer: -2 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/7 (b) 5 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from nbbboooibbbi.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 244527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1649)\/(-340) - 5)\/((-63)\/525). Let -5\/4*a**2 + 1\/4*a**5 + 3\/4*a**3 + 0 - a + z*a**4 = 0. What is a?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**2. Let x(i) be the third derivative of -i**4\/12 + 4*i**2 + 8. Give x(d(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*b = -549*b + 4085 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 + 1000. Suppose -b - 87 = -4*l. Suppose 1660 = 5*v + 5*u, 3*v - l - 667 = -5*u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 3. Let q be v(4). What is the closest to q in 0, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 23\/2*n**2 + 0 - 2\/3*n**3 - 89*n. Let t(v) = -2*v + 11. Give 6*p(w) - 13*t(w).\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**2 - 165*o + 29. Let b(h) = h**2 + 15*h - 3. Let f(v) = 23*b(v) + 2*z(v). Give f(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**3 - 7*u**6 + 45*u**6 - 36*u**6 - 5*u**5 + 6659*u**2 + 6*u**6 wrt u?\nAnswer: 960*u**3 - 300*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -0.3, -6 in ascending order.\nAnswer: -6, -0.3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427128, 854263, 1281408, 1708563, 2135728?\nAnswer: 2562903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 154 = 7*c. Suppose c*m - m - 50 = 0. Let w = -7 - -10. Solve 0 = -l - j, -w = 4*j + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -3*c - 7*x, 47*x - 29 = c + 45*x - 4 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-15))\/((-66)\/55))\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319029.\nAnswer: 3, 19, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 561528.4?\nAnswer: 561528.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21099, 42842, 65857, 90780, 118247?\n\"Answer: 106*f**3 + 21001*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85368100 and 2650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from iidayyxddydyix?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/11? (a) -50 (b) -9.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94.9735 + -95. Round a to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 c when three letters picked without replacement from qrrosqsrcsqrsrqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 901394 divided by -1?\nAnswer: -901394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466265 is divided by 4317?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 32*h - 65. Is u(3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.3515679 to two decimal places.\nAnswer: 14.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - -0.4. Let x = h - 1.4. Sort -2, 1, x in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 2 - 2*v**2 - 2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**3*v*w - 18764*p**3*v - 22*p**2*v*w - 4*p**2*v - 2*p**2*w + 26*p**2 - 2*p*v*w + 2*v*w wrt p.\nAnswer: -48*v*w - 112584*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 - (4 - 520\/105). What is the third smallest value in 3, 1, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -4*(1 + -2). Suppose 3*m + 3 = 0, 0 = 3*l - 5*m - 14 + a. Suppose l*p = -3*h + p + 76, 0 = 2*h + p - 51. What is h rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4 - 4. Let d(i) = -i + 2. Let j be d(w). What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - p - 7*p - 61 + 4*p + 3*p.\nAnswer: -p - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 1 + z + 4*z - 7*z.\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 540622 or 540204?\nAnswer: 540622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, 88917, 0.3 in ascending order.\nAnswer: 0.033, 0.3, 88917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751, -2973, -6671, -11845, -18495, -26621, -36223?\nAnswer: -47301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -287, -296, -311?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**2 - 10*i + 21. Let u(w) = -2*w**2 - 2*w + 4. Let l(a) = 2*d(a) - 11*u(a). Let y be l(-4). Suppose 5*t = y + 63. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + q - 5, 56*g - 3*q = 61*g - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -3, 2, 7, 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p - 40. Let o = -2 - -15. Let w = p + o. Solve w*c + 4*v + 1 = 0, c - v = -2 + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o = 23*o - 22*o + 77*o + 378 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(2\/(-1) - -8) - (-1)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137674136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(33)\/sqrt(99) - sqrt(3)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2192, -3656, -5138, -6638, -8156?\nAnswer: -9692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-17\/6)*u**(-6\/35))\/(u\/u**31*(u*u*u**15*u)\/u*u))**(-11) assuming u is positive.\nAnswer: u**(-23089\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79247209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z**2 + 292*z - 84 = 0. What is z?\nAnswer: 3\/10, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 1053.6107?\nAnswer: 1054.1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-161) + (-12)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 11453136068290?\nAnswer: -11453136068289.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*z + 12, 172 = -5*b + 3*z + 160 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n**3 + n**2 - 5*n + 3. Let t be u(1). Solve 2*i + 8*i + t = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100 (base 2) to base 9.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*u + 12 = 0, -2*j = -4*u - 7 - 11. Let k = 927\/5941 + -1\/457. Which is the second smallest value? (a) -0.5 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0075528 - -0.0085. Round f to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 7. Let f be k(-6). Let v = -11 + f. Suppose 0*x + v = 3*g + x, g - 2*x - 14 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14921, 28546, 42187, 55844, 69517?\nAnswer: 83206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*(-308)\/66?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 - 19*t - 89. Let f(i) = -i**3 + 10*i**2 - 3. What is the remainder when f(8) is divided by o(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25260303*r**2 - 32258672 with respect to r.\nAnswer: -50520606*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 154, 302, 450, 598, 746, 894?\n\"Answer: 148*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58145.69 weeks?\nAnswer: 586108555.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*f**6 + 41358*f**3*n - 66395*f**2*n - 81*f**2 + f*n + 2*n wrt f?\nAnswer: 23160*f**3 + 248148*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 8. Let c be r(4). Let q(x) = x**3 + 4*x**2 - 5*x - 6. Let k be q(c). Let n = -7 + k. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*n. Let s(l) = -5 + 10 + l - 3*l + 0*l**n + l**2. Determine s(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/280)\/(11\/(-385))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = -2, -2*l = -5*u + 27. Let v = 6 + -7. Let p = 9 - v. Solve -3*y + p = u*d, 2*d - y = -5*y + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176496 and 154434?\nAnswer: 1235472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 45 = 0, -618 = -5*l - 765*o + 792*o - 218 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -520 or -1\/32?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -21 - (3 - 2 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.78239221 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -92010.\nAnswer: 9201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 614850347 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 + 17*k - 44. Let c be p(-11). Suppose 4*x - 5448 = 2*d, 3*x - 4087 = -9*d + c*d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let t(v) = 2*v**2 - 5. Let s(b) = -3*p(b) + t(b). Let z(m) = -m**2 - 8. Calculate 8*s(n) - 5*z(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.198 - -11.798. What is the smallest value in -3\/11, v, -9, -4, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587 + 698 = -457*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = -739*k - 4*v - 2016, 3*k + 8 = -v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/2 + (-2 - -5). Solve t*p = -3*g, -p - 3*p = 2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30617001 divided by 3\nAnswer: -10205667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 59*v**2 - 3*v + 10. Let w be d(2). Suppose -3*f + w - 222 = 0. Suppose 1 = 2*g - 3, 4*g - 12 = -2*q. What is the highest common factor of f and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1129205 and 124803.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = -6*p - 924. Let o = 162 - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (4 + -4 + 3). Suppose c*l - 2 = -2. Let y(j) = -j - 1. Let w be y(0). Sort w, 4, l in descending order.\nAnswer: 4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 78364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-12)\/(-176) + (3905\/121 - 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -396981622 * -0.3.\nAnswer: 119094486.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34323100?\nAnswer: 2, 5, 7, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + c = 35, -3*v - 3*c = v - 17. Suppose -3*i + 7 = -v. Suppose i*r - 177 - 123 = 0. What is the greatest common divisor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x = m - 3, -5*m = x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looleoelloe. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/49, -3, 555?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 32. Let t(k) be the third derivative of 0 + 1\/120*k**6 + 0*k**5 - k**2 + 0*k + 1\/12*k**4 + 0*k**c. Find the second derivative of t(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (-4 + 100\/(-16)). Let t(b) = -b**2 + 10*b + 17. Let i be t(h). What is the first derivative of i - 2 + 1 - 31*w + 6*w wrt w?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 2. Let k be p(-5). Let x(j) = 6 + 2*j**2 + 0 - k*j**2 - 2 + 7*j. Calculate the remainder when x(6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -501, -495, -499, -519, -561, -631?\n\"Answer: -t**3 + t**2 + 10*t - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*q. Suppose 0*r + q*r = 10. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 10*x + 133. Let s be q(17). Let z = 5 + -3. Let g be 29 + z\/(-1 + -1). Calculate the greatest common factor of g and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 29. Let z = -51 - -57. Let y(d) = 20*d + 86. Let f(k) = z*y(k) - 17*n(k). Calculate the remainder when 119 is divided by f(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -3213346?\nAnswer: 3213345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21*w - 14. Let g(h) = 1 - h - 4*h + h + 3*h. Let a(l) = 14*g(l) + x(l). Calculate a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6621, -13208, -19793, -26376, -32957, -39536, -46113?\nAnswer: -52688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -365 + 366. Which is the biggest value? (a) d (b) 1107 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*v**3 + 0 + 2\/11*v**2 - 2\/11*v - 2\/11*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 619, 1399, 2493, 3901, 5623, 7659?\nAnswer: 10009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -49.4. Put 0.4, b, 3\/2 in descending order.\nAnswer: 3\/2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27*10\/180)\/((10 + 5)\/(4\/(-2)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12464 and 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52123 (base 6) in base 8?\nAnswer: -15463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(13 - 13 + 6*j**4 + (-2*j + 0 + 0)*(0*j**3 - j**3 + 2*j**3) + 2*j**4 + j**4 - 5*j**4).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*w + 10625, -4*f + 3*w + 14152 = -0*w. Suppose 10*x - 3*x - f = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - 3) + (1061 - 1061).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9290269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000507621936 rounded to seven dps?\nAnswer: -0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1, q: 1, a: 3}. Give prob of sequence xa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -33*s + 2. Let u(t) be the second derivative of t**2\/2 + 137*t + 9. What is -g(k) + 2*u(k)?\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/3*11*15\/220?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 640278?\nAnswer: 19848618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -44 + 55 + 0 + 3. Suppose j + 13*w - 12*w = 1, -2*j + n = -2*w. Solve -j*c = -3 - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087973 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -f - f - 4*p + 298 = m, -3*f + 474 = -3*p. Suppose 0 = -t - 4*t + f. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 1. Let d(r) = 13*r**2 - 3*r + 2. What is d(x) - 4*f(x)?\nAnswer: 17*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 + -0.3. Let w = -3.98 + d. Let q = 0.0184 - w. Round q to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 80*n**4 + 430*n**3 + 820*n**2 - 75*n - 1260 = 0 for n.\nAnswer: -7, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 86388410.59 + 0.251\nAnswer: 86388410.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221020102111110 + 0?\nAnswer: 1221020102111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 597 - 356. What is v rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*k**3 + 14*k**3 - 138*k**3 + (-4 - 1 + 3)*(-1 + 4 - 1)*(3*k + 2*k**3 - 3*k).\nAnswer: -217*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 60 = 12*n, 124*f - 126*f + 31 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.02. Let o = -58 + 58.54. Let s = o - 0.04. What is the smallest value in s, 5, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1465250 bigger than -1465257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2261, -3, 5, -1\/5, -13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 62*m - 129. Solve 10 = -4*p - 3*u + 20, -2*p - 2*u + m = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*y**4 - 42*y**3 + 27*y**4 + 43*y**3)*(5 - 3 - 4).\nAnswer: -156*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 43862*a + 21. Calculate r(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/378 and -127\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 622 + 578 = 0. What is the greatest common factor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**6 - 7*n**4*w + n**2*w + 2*n**2 - w wrt n?\nAnswer: 1200*n**3 - 168*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902*d**3 + 474*d**3 + 429*d**3 - 929 to w*d**2 + c + m*d + x*d**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 728863*w**3 - 766975 wrt w?\nAnswer: 2186589*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111, -130, -149, -168, -187, -206?\n\"Answer: -19*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 + 238*w + 4 - 3*w**3 + w**3 - 17*w - 9*w**2 - w**2 to r*w**2 + t + k*w + m*w**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 174.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 + 1. Let i be 3\/(-5) - (-26)\/10. What are the prime factors of x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005384 (base 9) to base 7.\nAnswer: -4356643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 10*z**2 + 24*z - 8. Let o be (-4)\/(-12) + 180\/27. Is 13 a factor of n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgrrrgriyg. What is prob of sequence ij?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-8)*-4 + 118\/(-24). What is the second biggest value in j, -2, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35415460 divided by 18.\nAnswer: -17707730\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39336 (base 16) to base 10.\nAnswer: 234294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r. Let o(t) = -10*t - 2. Let i(q) = -3*q**2 - 26*q - 5. Let w(a) = -2*i(a) + 5*o(a). Calculate -4*p(n) + w(n).\nAnswer: 10*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/60 - t**5\/10 + 13*t**2 - 86*t. Let h(z) be the first derivative of p(z). Factor h(v).\nAnswer: -2*v**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.80746?\nAnswer: 0.322984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-2\/7))))**49*q\/(q**3*q)*q*q**(3\/4))\/(q*q**(-7)*q*q**(-4)*q*(q*q**(-5))\/q**(-2)) assuming q is positive.\nAnswer: q**(175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/7)\/((392\/20580)\/((-28)\/(-42)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10378.\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - -10 - -18 - (-8 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0*t + 0*t)*(27*t - 27*t + 4*t**2) + 4*t**3 + 0*t**3 - 3*t**3 to o*t**2 + l + s*t**3 + c*t and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - w + 4. Let k be o(-5). Let d = 199\/3 + k. What is the biggest value in 0, 2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:51 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176286 divided by 3?\nAnswer: 2176286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31837, -31755, -31627, -31447, -31209, -30907, -30535, -30087?\n\"Answer: o**3 + 17*o**2 + 24*o - 31879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 199 + 21 = 0. Suppose 0 = -w + 5*w - o. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 11) in base 16?\nAnswer: -fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2)*(3 + -1). Suppose 44 = 4*y + 5*l, 0 = i*y + l - 4 - 18. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (sqrt(2) + 3 + sqrt(2)*-1 + -5 - (4 + (((sqrt(2) - (2*sqrt(2) - sqrt(2))) + sqrt(2))*4)**2)) + -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (55 - 45) - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 922167208 and 6?\nAnswer: 2766501624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.576268l to millilitres.\nAnswer: 6576.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 2 n when four letters picked without replacement from ivvujiujujunn?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Factor 4*z - 3*z**2 - 4*z**a + 2*z + 2*z**3 + 3 - 4*z**3.\nAnswer: -3*(z - 1)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1798242564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -83. Suppose -35 = -7*t + 2*t. Let w = r - t. Solve g = -w*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 172*p + 0*j + 113 = -2*j, 2*j - 2 = 5*j + 1 + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61674, 111284, 160894, 210504?\n\"Answer: 49610*m + 12064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 2*v + 66574. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -17, -35?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1206\/49 - 20464\/931. Find z such that b*z**4 + 128\/19 + 192\/19*z - 88\/19*z**2 - 120\/19*z**3 = 0.\nAnswer: -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -45. Solve -2*s = -3*l - 3*s - 2, 3*s = y*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + o - o**3 + 0 - 1 + 2. Let v be b(3). Factor 2\/7*a**v + 4\/7*a**3 + 2\/7*a**2 + 0*a + 0.\nAnswer: 2*a**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817, 1489, 2161, 2833?\nAnswer: 3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.33*-0.2.\nAnswer: -16.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1673)\/(-6) - ((-847)\/66)\/11. What is the highest common divisor of 2170 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - 2. Let s(z) = 5*z - 1. Let y(h) = -r(h) + 2*s(h). Let i(v) = 2*v - 15. What is y(i(b))?\nAnswer: 6*b - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 599*y**2 + 686*y - 18. Let j(z) = 150*z**2 + 171*z - 4. Let l(o) = -2*b(o) + 9*j(o). Find the second derivative of l(i) wrt i.\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2834197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 8}. Give prob of picking 2 y and 1 q.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7106028 or 5?\nAnswer: 7106028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 259132.82 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132181 and 2873500?\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -19*g**3 + 105*g**2 - 101*g + 15. Let o(r) = -r**3 + r. Let v(j) = k(j) + 6*o(j). Suppose v(x) = 0. What is x?\nAnswer: 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6*(32 - 5). Suppose -3*f - 2*o + b + 5 = 0, 0 = -4*f + 5*o + 129. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481 = -445*g + 482*g. Which is the closest to 2\/7? (a) -0.2 (b) g (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(133)\/sqrt(7))**2*6 - sqrt(19) - (sqrt(304)*4 - sqrt(19)).\nAnswer: -114 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.3 (c) -159550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*g*q**3*y + 1594*g*q**3 + g*y + 214*q**2*y - 16*y - 3 wrt q?\nAnswer: -516*g*y + 9564*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 1841*i**2 + 530*i + 360109. Determine x(921).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4157 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = -3*w, 4*u - w - 32 = -0*u. Suppose 4*y = 32 + u. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -134097.\nAnswer: -53638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k - 39278 - 7030 = 0. Do k and -681 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 27*j**3 + 3*j**2 - 11*j + 3. Let f(s) = 55*s**3 + 6*s**2 - 22*s + 5. Let w(i) = -2*f(i) + 5*u(i). Is 17 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 118*m**2 + 112*m - 232.\nAnswer: 2*(m - 1)*(m + 2)*(m + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7565237156.\nAnswer: 2, 71, 359, 74201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1766 less than -1630027819?\nAnswer: -1630026053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-35\/3)\/(t\/t**(-3\/13))*(t\/(t\/t**(11\/2))*t)\/(t\/(t*t\/(t\/(t\/(t\/t**(7\/3)))*t))) assuming t is positive.\nAnswer: t**(-395\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -816, -1226, -1636?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20719*o**3 - 23481*o**3 + 12553*o**3 - 18727*o**3.\nAnswer: -50374*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j**3 + 4*j**4 + 13*j**3 + (0*j**2 + j**3 + 0*j**2)*(0*j - 3*j + j) + (-3 + 3 - 1)*(-6*j**4 - 3*j**4 - 5*j**4).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a. Let k(m) = -166 + 166 - 8*m**2. Calculate j(k(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 3*i**2 - 3*i - 5. Let y be x(-2). Suppose -y*k + 1946 = -154. Let q be ((-1)\/3)\/((-14)\/k). Sort q, 3, -3.\nAnswer: -3, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710*s - 1700*s = 60 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 - 3*s**2 + 4*s - 6. Let u(w) = -w**3 + 3*w**2 - w + 17. Let f(n) = 5*n**2 + 35. Let z(m) = 4*f(m) - 9*u(m). Determine -7*r(v) + 3*z(v).\nAnswer: -v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + (-12 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7696 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: Suppose 0 = 43*o - 5*o. Solve 3*u - 239 + 254 = o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 13*q - 38. Let h be g(-4). Is (h - 36)\/(2\/(-48)*3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*d**3 - 138*d**3 + 339*d**3.\nAnswer: 458*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 117 = 2*k + 64*k - 195 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*c + 10*c - 9*c + (0 + 2 - 1)*(-4 + 2*c + 4)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 12:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1000*k**2*s**3 + 18996*k**2*s*x + 4*k**2*s - 3*k*s**3*x - 3*k*s**3 + 3*k*s*x - k + 5*s**3*x + 29652*x wrt k?\nAnswer: -2000*s**3 + 37992*s*x + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - w - 4. Let k(t) = t**2 + t + 1. Suppose -6 = y + y. Let u(q) = -q**3 + 15*q**2 + 3*q - 46. Let z be u(15). Give y*k(v) + z*c(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16277 or -16199?\nAnswer: -16277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 0, -359 in decreasing order.\nAnswer: 16, 2, 0, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 262, 1126, 2664, 4954, 8074, 12102?\n\"Answer: 13*j**3 + 259*j**2 - 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*q + 22, -2*j + 38*q - 42*q = 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 1432*v**4 + 1944*v**3 - 1424*v**4 + 2855*v**4 to the form z*v + j*v**4 + x*v**3 + y*v**2 + b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 431244243 (base 5) in base 11?\nAnswer: 1034843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -567371, -1134750, -1702129, -2269508?\n\"Answer: -567379*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28119797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 + u + 1. Let m(a) = 14*a**4 - 6*a**3 - 6*a**2 + 6*a + 25. Let o(q) = -m(q) + 6*r(q). Find the first derivative of o(p) wrt p.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491127 is divided by 87676?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 805*m - 109. What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104267, -208580, -312873, -417140, -521375, -625572, -729725, -833828?\n\"Answer: x**3 + 4*x**2 - 104332*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2002212202021010?\nAnswer: 2002212202021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1792, -11156, -36420, -85534, -166448, -287112?\n\"Answer: -1325*b**3 - 89*b - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/2*t**2 - 6*t = 0. What is t?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 121.003. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4)\/(4 - 0). Put m, 4, 3 in descending order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 165 = -0*f. Suppose -5*d + 80 - 20 = 0. Suppose 7*w = 3*w + d. What is the highest common divisor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*p + k - 23, 32 = 2*p - 4*k. Suppose p*x - 84 = -8*x. Solve 0 = -a - 5*z - 14, 8*z + 10 = -5*a + x*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 37230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 0.218, 2\/7, -176?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = c. Suppose c*s = -4*f - 7, -10*f = -4*s - 13*f - 5. Let o be (-6)\/(-21) + (-30)\/56. Are s and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36*p + 4. Let m(k) = 24*k + 3. Give 7*m(h) - 5*s(h).\nAnswer: -12*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-10))**(-3\/5))**(1\/24))**(-37) assuming a is positive.\nAnswer: a**(407\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87688, 87843, 88272, 89113, 90504, 92583, 95488?\nAnswer: 99357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.92 + -3.08. Let u = -15 + 18. Which is the smallest value? (a) -5 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(-10)\/(z**(3\/4))**(-3\/37))**(-5\/18) assuming z is positive.\nAnswer: z**(7385\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 4. Suppose 3*t - a = -14. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**2. Let p = 13 - 11. Let l be 485\/45 - p\/(-9). Let g(j) = 8*j - l*j + j. Calculate y(g(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/231420 and 18\/258535.\nAnswer: 412621860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*t = -13, -3*p = -0*p - 4*t + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 31 = 3*i, -11*i + 13*i = -10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/120 + 37*z**5\/30 + 989*z**4\/24 - 532*z**3\/3 + 5517*z**2. Solve j(i) = 0.\nAnswer: -56, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-5648)\/40 - 4)\/(6\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 1*(-2)\/2. Suppose m*p + p - 53 = 0. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 - 70 - 9*y)*(-4 - 3 - 6)*(0*y**2 - y**2 + 0*y**2) to the form o*y + r*y**2 + q + z*y**3 and give z.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77035559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 25241.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 188\/(-2 - -6) - -2. Let x = 100 - d. Let v = x + -34. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*h - 1992 + 380 = 761*h + 209 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380 + 799\/2. Let o(x) be the first derivative of 24*x**3 + 6*x - d*x**2 - 27\/4*x**4 + 2. Find w such that o(w) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)\/(d*d*d\/d**(-1))*(d**(-1))**41 assuming d is positive.\nAnswer: d**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 - 5*m + 1. Let i(h) = -h. Let w(y) = d(y) - 5*i(y). Suppose -7*c = -12*c - 15. Let s be c + (3 - (-3 - -2)). What is w(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3 - 27. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 10*k**3 - 12*k**2 - 136*k - 160.\nAnswer: (k - 4)*(k + 2)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33 times 17?\nAnswer: 39.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwl when three letters picked without replacement from hhhhylhhw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13238479.\nAnswer: 59, 173, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*u - 13*u - u**3)*(u - 4*u + u) - 4*u**4 - u + u to a*u**2 + k + b*u**4 + m*u + d*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23743538?\nAnswer: 2, 7, 13, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 69*k**2 - 30*k**2 - 4*k**2.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*((-27)\/2)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*u, u = 3*n - 10. Suppose y = -n*y - 20. Let m be (6\/10 - -1)\/(-2). What is the closest to y in -1\/7, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -814391.60958 from -0.5.\nAnswer: 814391.10958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 0.07.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006768 rounded to 5 decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -250\/3*w - 26\/3*w**2 - 400\/3 - 1\/6*w**3.\nAnswer: -(w + 2)*(w + 10)*(w + 40)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**3\/17 + 1086*p**2\/17 - 436*p\/17 = 0 for p.\nAnswer: -109, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-36)*(-294)\/7*(-6)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17480 minus -181.634111?\nAnswer: -17298.365889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 28 = -7*s + 4*s + 2*s, -16026*s - 13 = -16021*s + 4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 552 + -345. Calculate the highest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, c: 4, o: 2, w: 1, p: 1}. Give prob of sequence cupw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 3625, -93 in decreasing order.\nAnswer: 3625, 4, 3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let s(j) be the second derivative of -31*j**4\/6 - 7*j + 32. Determine k(s(h)).\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/1774153285 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + t**4 - 4*t**4 + (3*t + t - 5*t)*(2 - 2 + 2*t**3) - t**4 - 19*t**3 + 19*t**3 + 10*t**2 + (2*t + 17*t**3 - 2*t)*(-4*t - 2*t + 4*t).\nAnswer: -38*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 6*y + 3*y. Let g be 0 - (1 + (0 - 11)). Let u = g - 5. Determine f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*r = -219*r. Suppose 30*h - 32*h + 1346 = r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8*d**2 - d + 12. Let w be a(8). Suppose 2*u = -5*j + 3*u + 4000, 5*j = -w*u + 4000. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 5. Let u be h(-5). Let g = 1 - -4. Let m(p) = g + 4*p - u*p - 6. Calculate m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 32 - 9 = -3*q, -2*d = 5*q - 58. Suppose 17*w - q*w - 3305 = 0. List the prime factors of w.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 2, 15, -2\/1323 in decreasing order.\nAnswer: 15, 2, 0.6, -2\/1323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as 4\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8*1.0865798\nAnswer: 8.6926384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349 + -1734\/5. What is the closest to l in -3, 3, -1\/4, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m**3 - 17*m**2 + 9*m + 43. What is the tens digit of n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1473\/9 + 425\/(-255). Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -1\/2, -16, -0.02?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/4 - 133*z**4\/4 - 726*z**3 + 189170*z**2 - 3445100*z + 16567500 = 0 for z.\nAnswer: -75, 10, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3*c)\/c**(-2\/9)*c\/(c\/c**(1\/3))*(((c\/(c\/c**(-4)))\/c*c)\/c*c)\/c*c)\/((c**(-2)\/c)**2*c**(-4\/9)\/(c*c*c\/(c**(-4)\/c)*c)) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2 + 2)*(-3*j + 1 - 1)*(3 + 0 + 0).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110329243?\nAnswer: 71, 827, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/3)\/i)*i)\/(i*i*(i*i**7)\/i)*i**(2\/9)*(((i*(i*i**(-2\/17)*i)\/i)\/i)\/i)\/i)**44 assuming i is positive.\nAnswer: i**(-50908\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -28.7.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihppphhhpihpihih. What is prob of picking 1 i and 3 p?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - (-5)\/(-9). Let a = 49508 - 49511. Put x, a, 51, 2 in ascending order.\nAnswer: a, x, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 - (-29 - -36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 221 - 69 - 4 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19840, 79638, 179360, 319000, 498552, 718010, 977368, 1276620?\nAnswer: 1615760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 221*t - 511*t + 279*t in the form u*t + o + f*t**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 129267588680 rounded to the nearest one million?\nAnswer: 129268000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 4\/35 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*a = -26, 0 = -406*a + 203*a + 198*a + 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 10*p**2 - 1309*p - 10561. What is j(-8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 172\/36 + 10\/45. Suppose v*f + 4*s - 69 = 0, -5*s + s = -2*f + 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -4, 2\/7, 4\/9, 1.\nAnswer: -4, 0.01, 2\/7, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 621f - -b?\nAnswer: 622a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000892324194 to 7 dps.\nAnswer: -0.0008923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455335 and 2732010.\nAnswer: 2732010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -30?\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, -2, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 363 = -463. Solve -2*g + g - 3 = -2*p, 5*g - r*p = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) 2 (c) 2\/15 (d) -2 (e) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 39, 26, -0.5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35666901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21970 is divided by 225.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18\/120*64\/132*(-35)\/7\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159312857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Let f(b) = -b**3 + b**2 + 1. Let c be f(0). What is the smallest common multiple of p and 3 + (4\/4 - c)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.35 + 51.35. Which is the nearest to -0.4? (a) 5 (b) t (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-30)*-1*2 - -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2189, 17914, 60609, 143762, 280861?\nAnswer: 485394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5147\/15 + -343. What is the second biggest value in c, -6, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74017928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**3 + 7*q**2 + q - 1. What is the units digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**(-5\/2)*c)\/c)\/(c\/c**(1\/3)*c))\/(c**(-2\/15)\/(c**8\/c)))**(-34))**36 assuming c is positive.\nAnswer: c**(-24276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-15))\/1*10. Suppose 2*y + c = 4*y. Solve 14 = -y*l + 3*f, -3*f + 2 = l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 8. Let y be j(0). Let k = -1 - -2. Calculate the greatest common factor of k and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 58*i + 330 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 423 (b) -0.1 (c) -93461 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 4. Let p(v) = 935*v - 555. Let k(o) = -30*g(o) - p(o). What is the derivative of k(a) wrt a?\nAnswer: -875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4834 + 33073. What are the prime factors of r?\nAnswer: 3, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 17 + 8)*(3 - 3 - 1)*(4*n**3 - n**3 - n**3).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10847627 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 120, 236, 352, 468, 584?\n\"Answer: 116*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.2, 1\/11, -2359256?\nAnswer: -2359256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1547588\/(-1862))\/(20\/(-14)). Which is greater: i or 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/3 - 2*n**2 - 3*n + 8. Let s be c(-3). Find the second derivative of s*x - 5*x - 4*x - 7*x**3 + 0*x**3 wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 199.794. Let o = m - 0.2. Let f = -4.594 - o. What is f rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -18*k + 11*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-56) + (-20)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582594807?\nAnswer: 3, 23, 1117, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1623 + -1618. Which is the closest to 0.051? (a) i (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16000, 24908, 33816, 42724?\n\"Answer: 8908*s + 7092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55412?\nAnswer: 2, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1325963\/866514 - 1\/13129. Find the common denominator of 35\/968 and q.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -5*h**4\/4 + 280*h**3\/3 - 525*h**2\/2 - 810*h + 4556. What is v in y(v) = 0?\nAnswer: -1, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3, -4*b + 2*b = 3*q - 26. Calculate the smallest common multiple of q and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -26. Sort u, 4, 0.1, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1799, -2, -1, 8, -5 in increasing order.\nAnswer: -20, -5, -2, -1, 8, 1799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8156, -8169, -8274, -8525, -8976, -9681?\n\"Answer: -9*z**3 + 8*z**2 + 26*z - 8181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -152390.38 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15958387 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 369 - 399 = 7*m, 11 = -4*j - 3*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23443212 is divided by 3946?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - 9) + -1 + -1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017957 is divided by 141.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-7 + 6)\/(-137)). Let f = o - -652. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(1\/28)\/(q\/(q*q**(2\/17))*(q\/q**18)\/q) assuming q is positive.\nAnswer: q**(8641\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3579793205 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4748709686?\nAnswer: 2, 7, 339193549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + -3 + 2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:35 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6*y + 20189762*u**3*y**2 + 8*u**2*y**2 - 180890*u**2 + 4*u*y**2 - y**2 wrt u.\nAnswer: 120*u**3*y + 121138572*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52869 and 15.\nAnswer: 264345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -233985906 + 441?\nAnswer: -233985465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -174*(-9)\/16 - (-2)\/16.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(108))\/((sqrt(8)\/sqrt(2) + sqrt(4))*-5 - sqrt(4) - -6*sqrt(100)).\nAnswer: -sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h**2\/4 + 237*h\/4 + 15 = 0. Calculate h.\nAnswer: -5, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000676159763 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 42*i + 2*y - 260, -i - 5*y = -41. Solve 3*j - 28 = -10*z + 14*z, 3*z = 3*j - i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.06 + -60. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) + (-6)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13702*29.\nAnswer: 397358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123203*p**2 + 3*p**3 - 11 + 123203*p**2.\nAnswer: 3*p**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/1*-3*(-5)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32399715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 2\/(-4) - 162\/(-36). Let u(f) = 5*f**3 - 2*f**2 - 4*f - 1. Let q(z) = 8*z**3 - 4*z**2 - 7*z - 1. Let k(d) = o*u(d) - 3*q(d). What is k(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1\/574, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745679 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 632 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 28. Let o be i(23). Let a be (3\/(-3))\/(0 - 1). Let c be 1461\/9 - a\/3. What is the greatest common divisor of o and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = g + 2*t + 5, 4 = 2*g - 5*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*t + 95, 3*f = f + 3*t + 31. Suppose -u - 4*u = f. Which is the third biggest value? (a) -1 (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467097041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304831 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.15. Let c = -228.7 - -229. What is the smallest value in -2, g, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Let w(t) = t**3 + 2*t - 7*t - 1 + 5*t**3. Let i(j) = -7*j**3 + 6*j + 1. Let m(v) = b*i(v) + 6*w(v). Find the first derivative of m(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00147743928 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10180448 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 605594 or -3?\nAnswer: 605594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:30 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = w - 24, 30*w + 6 = 29*w - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -20*v + 162. Solve 5*x = 2*y - 25, -v*x = x + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -32. Suppose 2 = -5*h + 3*z, -7 = -d*h + z - 1. Suppose h*l = -j + 48, 22 = j - 5*l - 5. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffss. What is prob of sequence fsf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 0, 0 = -4*f - f + 3*o + 610. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.634811 centuries in millennia?\nAnswer: 0.7634811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15cc + -19?\nAnswer: 15b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8781 + 8736.876. Let a = d - -44. Round a to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 2 + 2*h**2 - 4*h + 4*h.\nAnswer: 5*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-10)\/(-14). Let p = -6 - -4. Let z be s\/(p + (-9)\/(-3)). Is 2\/9 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 356.4815 millilitres?\nAnswer: 0.3564815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139140537?\nAnswer: 3, 103, 450293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -141, -14\/3, -1\/5, 1\/4?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.9 + -61. Let b = 4.1 + z. Suppose v - 12 = 4*v. What is the smallest value in 2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 32*f - 1. Is 9 a factor of q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocoooccckookk. Give prob of picking 2 o and 1 k.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 856682*h**2 - 783332*h wrt h.\nAnswer: 1713364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -19.7. Let w(a) = a**2 + 3*a. Let d be w(-4). Let k be (-25*14\/(-3850))\/(6\/11). What is the closest to -0.2 in k, d, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/24 - l**3 + l**2. Let a(w) = -7*w - 1. Let d be a(-1). Let h be 33\/9 + (-4)\/d. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44861*q**3 - 14632*q**3 - 14773*q**3 - 15081*q**3.\nAnswer: 375*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 9*s**2 + 35*s - 8. Let o be u(-12). Solve 0 = 12*f - 7*f + 15, o*f + 9 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -56. Solve -2*n + 3*a + 7 = 0, n + 3*a = -0 - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-390 + 619 + 736 + 481 + 182)*(-5 + 0*x - 3*x + 2*x) in the form g*x + o and give g.\nAnswer: -1628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -2*m + 2*w, -3 = -4*m + w. Suppose 2*a + m*u = 34, 3*a - 5*u - 59 = -a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*-1*sqrt(85)*-5*1)\/((1*sqrt(5)*5 - (sqrt(40)*-2)\/sqrt(8))*6).\nAnswer: 15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 - 10*(-150)\/288 and 4060\/336*(-1)\/30?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 74 + -84 + -3 + 5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/9029 + 857839\/108348. Let y = -337 + 625\/2. What is the common denominator of n and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-10)\/13))\/(7\/14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + (15 - -1 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 54 = 0. Suppose c + 4*p = -4*c + 69, -2*c - 4*p = -n. Solve -3*q + 5*v = -17, -v + 4*v - c = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/8 - 2721*s**2\/4 - 1735155*s\/8 - 2578203\/4 = 0. Calculate s.\nAnswer: -274, -3, 2091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Solve 2*a = -x*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -170 - (-1 + 3 - 0). Let w be q\/12 - 2\/3. Let y be 3\/w*2*1. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a221 (base 12) to base 9\nAnswer: 57517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - j - 15 = 19, -42 = -4*p + 5*j. Suppose -75 = -p*r - 3. Calculate the remainder when 26 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110 in -2, -2\/7, 0.5, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -23. Suppose -y*d = -3*d - 32. Let j = 35 + d. Solve 12 = -3*c, -j*c = -2*s - 4*c - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w + 3. Let p be k(-4). Suppose d - p*a - 18 = 14, 0 = d - 5*a - 32. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - 280*z. Let d(f) = 4*f**2 + 6. What is d(t(u))?\nAnswer: 4*u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5168 and 3400.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -604, -1487, -2354, -3199, -4016, -4799, -5542?\n\"Answer: y**3 + 2*y**2 - 896*y + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4383a3 (base 11) to base 12.\nAnswer: 2987ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 14. Suppose -h + q = -r, 3*h - 3*r - 78 = h. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4661 != 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67645370 to the nearest integer?\nAnswer: 8225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*o - 796, 5*o = 2*o - 5*a + 593. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 329300 = -11*t. What is the greatest common divisor of 148 and t?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 3.1. Let q = u - -6. What is the nearest to q in 3, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**2*m**3 - 1575*i**2*m**2 - 2*i**2*m + 14*i*m**2 + 2*i*m - 49*i + m - 232 wrt m?\nAnswer: -78*i**2*m - 3150*i**2 + 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3215 = 59*l - 54*l. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/((-4)\/88*-11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1271 and 2513997?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 759611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.01 - 7. Let w = 4.01 - q. Which is the third smallest value? (a) w (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011000100 + -100?\nAnswer: -101010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 1047, 1571, 2095, 2619, 3143?\nAnswer: 3667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19422048 or 19422049?\nAnswer: 19422049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5519, -2.\nAnswer: -2, 7, 5519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -28*i**2 + 112*i + 112. Give u(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70344 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1 - 3. Suppose z*y + 2*k = -4, 22 = 4*y - 6*k + 4*k. Suppose -v - y*v + 20 = 0. Let n(i) = i**3 - 4*i**2 - 4*i + 4. What is n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 31*n**2 - 35*n + 1077. What is j(31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 268251819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 17 + 5. Let f = i - -5. Let w(r) = 7*r - 3. What is the remainder when 21 is divided by w(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/154*11\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81.792 - 0.208. Let u = 82.03 + r. Sort 0.5, 1, u, 3 in decreasing order.\nAnswer: 3, 1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116153 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10.76, 272, 4\/3, 1\/3, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -7. Let d = -4 + q. Suppose -2*s = -f - 4*s, d = -s. Solve -3*g = 4*x - 4*g + f, 2*x + 3*g + 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1)\/((-39)\/(-16297294)). Let o = 746362 + w. Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3 - 2385*f**2 + 477576*f - 1411344 = 0.\nAnswer: 3, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 8*c = -19*o + 2*c - 70, 4*o - 3*c = -44 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-2*3)\/(sqrt(3) - (sqrt(3) - sqrt(48)*2)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwwwwwwwwww. What is prob of picking 2 w?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -773.99988 and 3.\nAnswer: -770.99988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -57199.\nAnswer: -2\/57199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5909 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61\/130 - -2\/65. Let n = -8 - -5. Which is bigger: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 923550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v + 417. Let q be u(5). What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 94*c**2 - 3*c - 1. What is the tens digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149134821.778275 + 299.221725. Let d = y + -149135124.00000111. Let l = -3 - d. What is l rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.208987 kilograms in nanograms?\nAnswer: 2208987000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2. Let c(z) = -6*z**2 - 2*z. Let q(y) = y**2 - 2*y. Let r(u) = -c(u) + q(u). Determine -6*f(i) - 13*r(i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1223586665 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 536603659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 - 5782\/33. Calculate the common denominator of n and 2\/(-7) + 1041\/(-252).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 18 + 5 - 238503*x.\nAnswer: -238503*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c - 3. Suppose g + 4*g = -35. Let h(r) = 2 - 9*r + 1 - 1. Calculate g*h(t) - 5*i(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**6\/36 - w**5\/24 + 5*w**4\/72 + 5*w**3\/36 - 54*w - 22. Let x(d) be the first derivative of a(d). Factor x(l).\nAnswer: -5*l*(l - 1)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/18 and 49\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a - 60. What is w(-14)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82090?\nAnswer: 2, 5, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -246. Suppose 2*z + 2*z = m. Solve u = -5*v + z, 6*v + u - 7 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(2014*a**3 - 2014*a**3 - 10*a**4).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6*p**5 + 119*p**4\/5 + 86*p**3\/5 - 123*p**2\/5 - 116*p\/5 + 4\/5 = 0.\nAnswer: -2, -1, 1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 565872145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*a - 66*a - 60 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14013 + -1*6\/2. Suppose 3*r - 10 = -2*r, -5*y = -5*r + a. Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 15, 0 = 2*j - 3*j + x + 19. What is the derivative of 17 + 17*v**4 - 34*v**4 - 15*v**4 + j wrt v?\nAnswer: -128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*v + s - 13, -5*v - 3*s + 56 = 0. Let o = v - -5. Let w be -1*(-14)\/(-7)*(-105)\/2. Calculate the highest common factor of o and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 2*z + 0*z. Let f(l) = -4*l**2. Give o(f(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-18)\/4 - -1). Let x(n) = -n**2 + 2*n + 2. Let g be x(3). Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 108 - 153 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2058 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14.8. Let f = 0.8 - u. Let r = 1.2 + f. What is the nearest to r in 3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-4 - (-6 - 0)). What is the greatest common factor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2016 = -11*i. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, -10, 5\/6 in ascending order.\nAnswer: -10, -5, -0.3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:03 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 6. Let j(y) = 10*y**2. Let x be j(1). Does 2 divide x\/4 - i\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -60\/17 (b) 0 (c) -7802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21584*t**3 - 7*t**2 + 10*t + 2741240 wrt t?\nAnswer: -64752*t**2 - 14*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24544542?\nAnswer: 2, 3, 11, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, 1\/5, -0.1, -2.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23.00034. What is x rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 + 430 = -8*z. Let a(h) be the first derivative of -h**2 + 7*h + 5. What is the remainder when z is divided by a(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 + 12*q + 1. Let c be i(3). Find b, given that 13*b**3 + c*b**4 - 93*b**4 + 9*b**2 - 23*b**3 + 3*b**2 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {x: 2, c: 2, n: 1, e: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310008 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 6:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - -6.5. Let b = -13 - -6. Let v = b + i. Which is smaller: -1\/3 or v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -515*d**3\/3 + 940*d - 958. What is the first derivative of a(h) wrt h?\nAnswer: -1030*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29376*c**2 + 29376*c**2 + 13*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440627307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 - 6*n + 3 - 3 - 5*n. Let w be 1*-1*(2 - -2)\/4. Let o be g(w). Solve 2*f - 4*f + 12 = -4*a, -5*f = -5*a - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-220))\/(1\/10*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d + 5. Let h = 4 - 8. Let p be (-9)\/6*16\/(-6). Put h, p, d in ascending order.\nAnswer: h, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -114, 52, 378, 918, 1726?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*b - 88, 5*b - 49*z - 104 = -48*z. Solve 9*n = -b*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 6)\/(1\/2729). Let w = y - 6629. Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 66 = -4*p, -20*a + 170 = 11*p - 23*a. Solve p = 18*z + 106 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 2*z**3\/3 + z**2 + 75*z. Calculate c(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/264 and 115\/396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7369607 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 2, 1958, -4 in descending order.\nAnswer: 1958, 34, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + -4)**2 + sqrt(85)\/(sqrt(5) - sqrt(80)) + sqrt(17).\nAnswer: -22*sqrt(17)\/3 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 28 = 9*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/9 + 0)*6. Suppose 7*t - c*t = 555. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**7\/2520 - z**5\/20 - 2*z**2. Let k(y) be the third derivative of s(y). Let n(i) = -i**2. What is n(k(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from rrkrdkkrkrkdd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-818)\/(-4) - ((-136)\/16 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13*x = -16*x + 15, -2*m - 10 = -4*x. Solve 0 = -4*t + r + 2*r - 27, 0 = m*t - 4*r + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2146, -2152, -2154, -2152, -2146, -2136, -2122?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -156\/23 (b) 4 (c) 2\/57 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 104\/3. Let y(l) be the first derivative of l + a*l**3 - 2 + l**2. Factor y(s).\nAnswer: (s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/2335?\nAnswer: -4\/2335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 1 - (-1 - (46 + -4))) + (-611 - -615)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -23. Suppose -i = -q - j, q + j = -j - 1. Find the second derivative of 23*p - 14*p**4 - 4*p + q*p**4 wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7266, -3\/5 in decreasing order.\nAnswer: -3\/5, -4, -7266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646214 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28921.09 kilometers in nanometers?\nAnswer: 28921090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjhxjhxxhxxjhjxhx. What is prob of sequence jxh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {f: 3, m: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h + 2. Let g be i(-12). Is ((-10325)\/(-100))\/(g*1\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, w: 2}. What is prob of sequence yywy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(17) + -3 + -2)**2.\nAnswer: -26*sqrt(17) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -5 - (0 + (0 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 + 2028 = 4*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 5 - 24)*(-4 - 3 + 5) + 4 + 0 - 3)*(-3*i**2 + 5*i**2 - 4*i**2)*(i + 4*i - 6*i).\nAnswer: 86*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.125 in -0.2, 1, -0.4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + q = 4, -2*w - q + 4 = -w. Suppose -7*m + 4*m + 186 = w. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + 9*d**2\/2 + 2*d + 6. Let y be z(9). Find v, given that v**4 - 16*v**3 - 2*v**4 + 17*v**3 + y*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -5*t - 4*u, 104*u = -t + 109*u + 70 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.223\nAnswer: 0.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -129999?\nAnswer: -129999.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 219, 339?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*m**2 + 4*m - 8*m + 4*m as p*m + q + l*m**2 and give l.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -8.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -17, 12, -2, -61, 0, 4 in ascending order.\nAnswer: -61, -23, -17, -2, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 287*h - 111. List the prime factors of x(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - 4*u**2 + 4*u + 4. Let a(t) = 70*t**3 - 55*t**2 + 55*t + 55. Calculate -4*a(y) + 55*d(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1906014222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.070590508 and 3991?\nAnswer: 3991.070590508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -24, -0.06, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12 - 0, -3*r - 12 = 5*o. Suppose 0 = 5*z - 4 - r. What is the closest to z in -3, 0.4, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 3*j - 13. Let z(t) = 4*t**2 - 2*t + 11. Let l(r) = -5*p(r) - 6*z(r). Give l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189b92 (base 13) to base 14\nAnswer: -122712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9443811 is divided by 3149.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(132)\/(sqrt(132)\/sqrt(11)) + sqrt(275) + 0)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -325, -397, -473, -553?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + c - 15*c**3 + 573*c**3 - 2 - 3*c - c**2.\nAnswer: 558*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7860.414 millennia?\nAnswer: 7860414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = 5*f, -23 = -3*m - m + f. Suppose 0 = -m*h - 3 + 27. Determine d so that -h*d**2 + 5*d**3 + 4*d**3 - 7*d**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112100010 (base 3) to base 11.\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15509003 is divided by 77545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q + 1. Let b(h) = 7*h + 1. Let g(v) = -5*b(v) + 3*x(v). Let j(u) = -13*u + 4. Let p(c) = -3*c**2 + 1. Let w be p(2). Give w*g(d) - 6*j(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 14*z - 20. Let d be p(16). Let c = 47 - -68. Suppose -7*v - c = -d*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0 - 3 = -3*i, 4*i = 2*g + 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 a when three letters picked without replacement from atarbqbbhtaahtaaaaa.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (30 + -5 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*f - 1060*f + 4239*f - 1049*f - 1052*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289.94 + 287. Let y = 0.5 + p. Let k = y - -1.8. What is k rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/300240 and 169\/1620?\nAnswer: 900720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*h - h + 0*h + 2*h + (0 + 0 + 1)*(0*h - 3*h + 0*h) + 2*h - 3*h + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1933.4\nAnswer: 966.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*x + 12. Suppose z = -5*n + 48, -2*z - 171 = -7*z - x*n. Suppose 0 = 5*a - z - 27. What is the remainder when 32 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-7))\/(-1 - 1). Let w be ((-2)\/20)\/(5\/260). Let x = -192\/35 - w. Is n at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4))\/sqrt(8) + 4)**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928901601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145917?\nAnswer: 3, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7942 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*f - 3, -1 = 2*f - 7. Let i = c - -6. Let q(u) = -u + 10. Let k be q(9). Put k, i, 0 in decreasing order.\nAnswer: i, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 - 4*p - 4. Let q(n) = 5*n**2 + 3*n + 3. Suppose 2 + 2 = x. Let m(j) = -j**3 + 5*j**2 + 5*j + 9. Let k be m(6). Give k*a(i) + x*q(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843144?\nAnswer: 2, 230393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -95. Suppose 3*c + 15 - 66 = 0. What is the remainder when (-536)\/(-18) + k\/(-135) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*5430\/362\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 5.8. Which is the nearest to 0? (a) s (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -23. Suppose m = y + y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352436 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 10*k. Solve k*v = v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-5)\/3. What is the third derivative of -h**3 + 6*h - 3*h**2 - v*h**3 - 6*h wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 41, 69, 109, 161, 225?\n\"Answer: 6*z**2 - 2*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/25167064 and 133\/37750596.\nAnswer: 75501192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6906 is divided by 1982.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1)*(-8)\/(-16). Let d be r + (-8)\/(-6)*27\/18. Solve -m + 4*f + 4 = d*f, -2*m - 2*f + 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(1008)\/sqrt(4) + sqrt(7))*-3.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126359352 and 9968.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3a7?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + (-255)\/30 - 3\/(-2). Let w(j) be the second derivative of 5*j**k + 0 + 1\/12*j**4 + 4\/3*j**3 - 36*j. Calculate w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 2, 0.1331, 0.05434?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 6, -32 in decreasing order.\nAnswer: 6, 2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 - s**3 + 5*s**3 - 3 in the form u*s**2 + g*s**3 + i + k*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y - 6. Let n be v(-6). Suppose -8*k = -n*k - 6. Suppose -2*l = -0*s - k*s + 66, 88 = 4*s + l. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3983 divided by -10\nAnswer: 3983\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 9. Let f be 6*15000\/(-9)*r. What is f rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 10*m**2 + 7*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 291 = -4*i + 10, -i = 5*u - 81. Let o be i\/120 + 1 - (-3)\/(-2). Which is the second biggest value? (a) o (b) -2\/7 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 195*w - 15131. Give i(75).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 343 - 847 = 0. Let n = -118 + t. What is the remainder when (n\/(-75))\/((-4)\/70) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 0) + (-1291 + 1301 - (-5 + -1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207544662.\nAnswer: 2, 3, 13, 199, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 124.\nAnswer: -8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let n be 0\/(-6*16\/(-48)). Suppose -s*m + 39 = t, n = -3*m + 5*m + 2*t - 34. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 15*o**2 - 20*o - 44. Let d be 3713\/316 - (-2)\/8. Is 74 a factor of q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -6, 1 in descending order.\nAnswer: 1, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - a + 3 = -2*a, -4*a = 4*g - 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i**2. Let r be (7*(-8)\/(-336)*-3 - 0)*-8. Let u(d) be the third derivative of 0*d + 0 - 5*d**2 + 0*d**3 - 1\/24*d**r. Give u(q(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 1. Let k(d) = 12*d - 29*d + 8*d + 4. Let l(a) = 4*h(a) + k(a). Calculate l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**2*s**3 + 19*a**2*s**2 - 31*a**2 + a*s**2 + 2*a - 29069*s**3 - 9*s wrt s?\nAnswer: 84*a**2 - 174414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 13 = 4*u, 4*u - 32 + 50 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = v - j, 5*j = 9*v - 21*v + 60 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * -4986014.\nAnswer: 11467832.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26777101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.085699um in millimeters?\nAnswer: 0.005085699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 6980?\nAnswer: 69800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122220 - -12?\nAnswer: -1122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 102. Let w(r) be the first derivative of -1\/6*r**6 - r**2 + 1 + 0*r**3 + 0*r + f*r**5 + 0*r**4. Find the second derivative of w(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*sqrt(8)\/sqrt(4) + -2.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**(-19)*b**(-1\/2)*b**(4\/3))\/(b**3*b*(b\/b**(5\/8))\/b*b*b)**(-3\/26) assuming b is positive.\nAnswer: b**(-5021\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.112 + -0.112. What is the biggest value in -3, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406891 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.714 - -105.635. Let i = p + -326.531. Let r = -264 - i. Round r to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/6)\/(2\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2*g - 6. Let w(o) = -o**2 - 3*o - 7. Let y(j) = -3*m(j) + 2*w(j). Is y(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.14567936 to 2 dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 - 7*l**4 + 0*l**4 + (0 - 1 + 2)*(1 + 3 - 2)*(7*l**4 + 4*l**2 - 4*l**2).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 599*v - 344. What is the hundreds digit of w(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1136874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-209)\/8151)\/((-4)\/(-26))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Let a(j) = -j**2 + 6*j - 2. Let y be a(c). Suppose -y*l = -4*l + 454. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.5. Let b = -5.34 - -1.34. What is the biggest value in 0.5, b, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 102 = 3*k, -3*k - 55 = 4*m - 186. Let b(l) = 5*l + 2. Let s be b(5). Let y = s - 18. Solve 5*j + y = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21888838*m**5 - 4*m**3 + 302328193*m.\nAnswer: -437776760*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 (base 9) in base 7?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23318*u**3 + 90*u - 1?\nAnswer: -139908*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y + 7\/4*y**4 + 0*y**3 + 82*y**2 + 0. Let v(g) = -g. Calculate -d(x) - 35*v(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = -3*g, 4*a + 3*g - 3 = 29. Suppose -f + a*f = 456. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 7) to base 15.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 - -279. Put p, 0, -7, 0.5 in decreasing order.\nAnswer: 0.5, 0, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 684.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 29, 25 in descending order.\nAnswer: 68, 29, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.48882 to one dp.\nAnswer: -377.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17107 - -15a?\nAnswer: -16b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 581154199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/28*(-3)\/((-1449)\/28)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 5. Let y be t(5). Suppose -4*d + 50 = 3*r, -3*d = 4*r - y - 6. What is the least common multiple of r and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 297.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 10*m + 7. Let u be w(-9). What is the tens digit of (68 + 2)*u\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 3*f**2 + f - 1. Let q be m(3). Solve -c - 4*c = q*j + 29, -c = j + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/(-40)*70\/(-4). Let b = -41 + x. Let w be (0 + b)*(2 - 0). Solve -u + 4*a = -3, -w = a - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (2*(sqrt(75)*1 + sqrt(75)) - sqrt(75)))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1295000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.0244.\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268477 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1627*n**2 - 213135*n - 256. Give l(131).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122.81 - -123. Let r = d + -0.29. What is the closest to -1 in -0.4, 4\/9, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 35. Are -4 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -1.72.\nAnswer: -2.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + u**4\/2 + 2*u**3\/3 - u**2\/2 + 18*u. Let s = -8 + 4. What is the tens digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 7. Let v be b(4). Let m(s) = s**3 - 2*s**2 - 5*s + 4. Calculate the lowest common multiple of (1 - (1 - -1))*(-4)\/v and m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20856562 divided by 6\nAnswer: 10428281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 - 54*m**2 + 5*m + 5. Let o(h) = 7*h**3 - 56*h**2 + 6*h + 6. Determine 5*o(x) - 6*v(x).\nAnswer: -x**3 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -2*b. Is (3855\/12)\/((-45)\/(-36) + b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10\/11 (b) -183 (c) -220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9693 - -9929. Solve h*s - 240*s = -28 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/6 - (-2)\/6. Suppose -b*f = -f - 15. Let p(y) = -y + 3. Let d be p(f). Solve 6 = 2*n - 5*g, -2*g - 2 = -n - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 205540224*u**2 + 411080439*u - 205540218.\nAnswer: 3*(u - 68513406)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 96, 142, 188, 234?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 273\/42*4730\/(-3311)*8\/10\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128739361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let w be (-2 - 91\/(-70))*8\/14. Which is the biggest value? (a) w (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.4 minus 5?\nAnswer: -330.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1053)*2 - sqrt(1053))*5)**2.\nAnswer: 658125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11001111011 (base 2) to base 15\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4132 and 139.\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 14*t**2 - 16*t + 12. Let o be r(-15). Let p = -16 + o. Calculate the remainder when 31 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23\/5 (b) 0 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 2, y: 1, z: 3, o: 1, b: 1}. Give prob of sequence zree.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001429839194 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141.036 - -141. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 + 47*o. Let v(m) = 2*m**3 - 23*m. Give 4*t(y) + 7*v(y).\nAnswer: 2*y**3 + 27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - i + 2*i - 21, 5*i + 15 = 5*c. Suppose c*m = m + m. Solve m = 2*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 11*l - 13. Let d(o) = 13*o**2 + o. Let z be d(-1). Is h(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.376 + 183.376. Let d = a - 184. What is the third smallest value in 1, 92, d?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 206 = -222, -2*v - 5*n + 38500 = 0. What are the prime factors of v?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/19))**16)**(-11) assuming b is positive.\nAnswer: b**(-352\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -75, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/7 + 238\/833)\/((-20)\/2).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618a7 (base 12) in base 15?\nAnswer: 27b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*q + 27, 4*c - 9 = -q - 4*q. Let i(j) = -j**3 + 8*j**2 - 11*j - 6. Let m be i(c). Suppose -9*b + 382 + 95 = m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 55*i**6\/3 + 487*i**4\/6 + 4*i - 9. What is the third derivative of v(c) wrt c?\nAnswer: 13200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7513342, -7513347, -7513352?\n\"Answer: -5*f - 7513337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.312? (a) 0.4 (b) 4 (c) -5 (d) 1 (e) 0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.02 + -5. Let y = -0.5 - -0.5. Let b = y + g. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 16. Let z be u(-14). Suppose -4 = -3*m - z*s, 5*m - s - 3*s = -30. Does 2 divide 2 - (-15 + m + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 936\/477 + ((-15)\/5 - -6)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(3904\/(-1008))*4\/(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/4 + f**3\/2 - 4*f**2. Let s be z(-3). Let b = s + -12. Is b greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28786207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -29 (b) -19975 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q + m - 7 = 0, 0 = -4*q - 3*m + 13. Let w be 2\/(16\/q*(-2)\/4). Let c(s) = -10*s**3 - 5*s**2 - 6. Let v(h) = h**3 + h**2 + 1. Give w*c(o) - 6*v(o).\nAnswer: 4*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*i**4 + 7*i**3*m**2 - 391*m**2 - 16 wrt i?\nAnswer: 160*i**3 + 21*i**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 670*r**2. Let k(q) be the third derivative of q**5\/15 + 7*q**2 + 69. What is k(l(x))?\nAnswer: 1795600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 35219 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10126.884 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 66 = 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/140 and 13\/11190.\nAnswer: 156660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -19 (b) 0 (c) 1\/19 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 2)*(-3*o + 0 + 0) - 1 - o + 1)*(3*o**4 + 3*o**4 - 5*o**4).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*m*z - 14292713*b*m - 38938843*m*z**2 + z**2 wrt z?\nAnswer: -2*b*m - 77877686*m*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - o**2 - 1 + 6*o + 5*o. Suppose 0 = -s + 4*p - 12, -4*s + 3*p + 25 - 8 = 0. Does 15 divide l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1284 = 9*u - 29*u + 16*u. What is the remainder when u is divided by ((-36)\/(-10))\/(4\/40)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 3256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 74738 - 74738.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/7 + 3)\/(36\/(-28))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*k + k - 104, 0 = -3*y - 3*k + 159. Suppose 5*c = -3*b - 5 + 35, 3*b + y = 4*c. Solve n - 5*s - c = -3*n, 5*n + 2*s = -30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 - 499. Find the third derivative of 107*v - 51*v - 12*v**2 + 6*v**3 - 48*v + 5*v**m wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y + 3*y + 3*y. Is r(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/(80\/(-36) - -2). Let l = 2 - 0. Let a(x) = x + 2. Let u be a(3). Solve p*t - 6 = 0, 0 = 3*m + 2*t - u - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1091634 divided by 1\nAnswer: -1091634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 1811203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 18. Let z = 3 - g. Let b(n) = 4 - 3*n**2 + n**2 + 3*n + 2*n**2 + n**3 + 3*n**2. Calculate b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 2*u, -3*l - 1 + 4 = -3*u. Let z be 6\/4 + (-9)\/(-6). Let i(y) = y**3 - 15*y**2 + 6. Let x be i(15). Solve 0 = -x*r + 4*r, z*m = r + l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 - 2. Let x be z(1). Let a(v) = -v**2 - v**3 + x*v - 2*v**2 + 0 + 7*v**2 + 1. Give a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*f - 2 + 250*f - 3.\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*u + 25 = 6*u, -h + 2*u = 2. Calculate the highest common divisor of h and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12871818 divided by 6.\nAnswer: 2145303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694602542?\nAnswer: 2, 103, 1709, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6624\/53 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 35. Let x be d(35). Put 21, 2, 5, x in increasing order.\nAnswer: x, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-2 - 1) + 2. Suppose i = -m*i + 265. Suppose 5*k + 3*q = i, q - 55 = -3*k + 5*q. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 394c (base 14) to base 12\nAnswer: 59a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 11) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624887987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2352 + -507065?\nAnswer: -504513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.051 and 5?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/(-6)*18645\/55?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 156\/12 + (-469)\/35. Which is the second smallest value? (a) 2\/7 (b) -39 (c) -6\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41*2\/(1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 59*g - 54*g - 70 = 0, 4*g = 8*y - 6*y + 56 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4514411?\nAnswer: 11, 410401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r - 19. Let v be j(-3). Suppose 452 = 4*m - v*i, i + 226 = 2*m - 3*i. Calculate the remainder when m is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/140 + 11*d**4\/84 + 4*d**3\/7 - 18*d**2\/7 - 17*d. Factor k(y).\nAnswer: (y - 1)*(y + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -705 or -8455\/12?\nAnswer: -8455\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23071682 to 4 decimal places.\nAnswer: -0.2307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*j + 20, -2*j + v - 6*v = -10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105103.\nAnswer: 61, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1 + 2)*5. Solve -c*s = 4*g - 33, -4*s + 3*g = g - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -649, -1464, -2605, -4072, -5865?\nAnswer: -7984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 84\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2067\/2 + 1033. Sort -1, -5\/22, h, 2.\nAnswer: -1, h, -5\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2538)\/2256 - 797\/(-40))\/(2\/(-5)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 3. Let s = -7 - f. Let x be (-4)\/(-2)*s\/(-20). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -9*r + 236. Is ((-339)\/r)\/(42\/(-1316)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 345\/(-18)*(-2 - -4). Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and 4221739.6695.\nAnswer: 4221738.7695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.192915 and 0.06?\nAnswer: 0.132915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*n - 20*n**2 + 3*n - 37 + 20*n wrt n?\nAnswer: -40*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = y, 7*y - 2*y + 29 = x. Find the third derivative of -106*p**2 + p**4 + 3*p**x + 105*p**2 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h**2 + 7*h - 4. Let n be o(3). Let c(k) = -91*k + 3. Let d(w) = 456*w - 15. Let s(z) = 21*c(z) + 4*d(z). What is the units digit of s(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-546)\/(-455))\/((-2)\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 748224424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4366*c*x**3 + 426227229*c*x**2 - 128136*x**3 wrt x.\nAnswer: 26196*c - 768816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -137.\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 32*z**2 + 2*z**2 - 3 + 19*z**2.\nAnswer: 52*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7724690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 553245 (base 8) to base 13\nAnswer: 66894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:05 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 954 + 1848. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3 + 27 = 3*q + 19, -q - 13 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59556723 is divided by 19852241.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000633291 rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/((-915)\/(-90)) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144\/17, -5, 5, -1\/61, -4 in increasing order.\nAnswer: -5, -4, -1\/61, 5, 144\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4)*24\/(-20). Suppose -4*s + p - 31 = 0, 6*p - 3*p - 9 = 0. Let j = -12 - s. Sort z, j, -1 in ascending order.\nAnswer: j, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**17\/(w*w\/(w*w*w*w*w\/((w*w**(1\/9))\/w)*w)*w\/w**(-1)))**(-14) assuming w is positive.\nAnswer: w**(476\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2) - (-12 + (-5 - -1)). Suppose -x*l + 6318 = -351. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0*i - 4*i + 2*i - i + i - i**5 + (-3*i - i + 2*i)*(5*i**4 - 2*i**4 - 2*i**4).\nAnswer: -i**5 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**10\/(i**4*i*i**4) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696 + 5*r**2 - 3447 + 935 + 1084.\nAnswer: 5*r**2 - 732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -2415203?\nAnswer: -2415202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -1\/30*s**5 + 1\/210*s**7 + 0*s + 3*s**2 + 0 + 0*s**4 + 1\/6*s**3 + 0*s**6. Determine m so that j(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/9 + (-67186)\/6)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 177*z**3 + 483*z**3 + 285*z + 199*z**3 + 450*z**3 + 73*z**3 wrt z.\nAnswer: 6168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -25*r - 8 - 125*r**2 + 31*r**2 + 92*r**2 + 0. Calculate t(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*w - 129 = 0, -m - 3*w - w - 51 = 0. Let r be ((-112)\/6 + -1)\/(2\/6). Let b = m - r. Calculate the remainder when 98 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = v. Let d(r) = -2*r + 0 + 2 + r. Let y(h) = -h. Suppose 0*z - 2*z - 4 = -4*n, -2*n + 12 = 4*z. Determine n*y(j) + v*d(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**6 + a**3 - 152*a**2 wrt a.\nAnswer: -1440*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -433121*g**4\/24 - 32*g**3\/3 - g**2 - 42*g. Let o be k(16). Round o to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 232697483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:21 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/35 + 6\/(-10). Factor -2\/7*k**2 + 2\/7 + z*k.\nAnswer: -2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93691545*k - 112915109 wrt k?\nAnswer: -93691545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 134*f - 31 + 33 + 34 - 73.\nAnswer: -134*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y = 39*y + 4*c + 130898, 5*y - c - 130907 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:56 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11429*a**3*r**2 + 2*a**3*r + 2348*a**2 wrt r.\nAnswer: -22858*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 at least as big as 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.4581ng in kilograms?\nAnswer: 0.0000000000524581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:44 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.271 + -0.401. Let x = -0.13 - o. Which is the third smallest value? (a) x (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 16*n**3 + 254*n**2\/5 + 268*n\/5 + 94\/5 = 0.\nAnswer: -47\/40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(68 + 60 - 1379*s - 191 + 63).\nAnswer: 2758*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -780\/1211 or 0?\nAnswer: -780\/1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s - 5*s**3 - 13*s**2 + 4*s**3 - 4 + s. Let k be p(-12). Solve -z + k = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173093 is divided by 12699?\nAnswer: 8006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*c - 5*c - 54*c**2 + 0*c.\nAnswer: -54*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(396) - -5*1*sqrt(11))**2 - 3*sqrt(1584)*2).\nAnswer: -432*sqrt(11) + 19074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 79982160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 539769769 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7481 divided by -194?\nAnswer: -7481\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -540, -541, -542?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 divided by 386?\nAnswer: 397\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from uuummummmmuuuumu.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - -2.49. Which is the nearest to -0.1? (a) -0.4 (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.4 (c) 2\/11 (d) -13\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*4*3*sqrt(95))\/(sqrt(405) + (sqrt(405)*1 - sqrt(405))*-3 + sqrt(405) - sqrt(405)))**2.\nAnswer: 4864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -171106.832 rounded to the nearest 100?\nAnswer: -171100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3)*-5 + 9\/(-9) + 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 3*n**2 - 5*n - 53. Let o(b) = -b**3 - b - 3. What is 5*o(l) - v(l)?\nAnswer: -2*l**3 + 3*l**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 644\/322*2*1\/(2\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -0*x + 3*y - 5, -x - 4*y + 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6831 = 15*v - 2*a + 6862, 4*a - 29 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132604427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 399?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43047460079992 less than -5?\nAnswer: 43047460079987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/24 + 1\/4. Suppose -25*x + 20*x = -25. Suppose 4*v = -x*f, -5 = -3*f - 2*v - 3. Solve 9*a - f*a = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -2af05?\nAnswer: -2aef9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*a - 21. Find the second derivative of -3*y - a*y + 7*y + 44*y**2 wrt y.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + 33\/(-5). Let s be -1*3 + (-4 - d). Solve -v - 4*v = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**4 - 3*n**3 - 2*n**2 - 2. Suppose 2*l = -l - 15. Let i(u) = -2*u**4 - 7*u**3 - 5*u**2 - 5. Let d(v) = l*w(v) + 2*i(v). Factor d(t).\nAnswer: t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/48 + 1\/(-3). Let y = -11934.7 - -11935. What is the biggest value in q, y, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163345517?\nAnswer: 23, 41, 173219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342537697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from yylbgmsmbgyymbm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 5053?\nAnswer: 5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 563721 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d01 (base 15) to base 14.\nAnswer: -10d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose 2*c - 2*d = -0*c + 28, n*d + 61 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-7) - 2\/(-7). Let z(k) be the first derivative of k**4\/4 - 7*k**3\/3 + 3*k**2 + 8*k - 277. Let s be z(v). Solve s*o - 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**0\/a)\/a*a)**(-1\/13)*a*((a**2\/a)\/a)\/a*a**(-2\/3)*a assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 9. Suppose -4*w + 55789 = 55769. Solve -w*a - 1 = -d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -98*w + 95. Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - (-11 - -13)) + (0 - (0 + 2)). Let u = 5 - 5. Put u, o, -8 in increasing order.\nAnswer: -8, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11719 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.628 times -73.5\nAnswer: -46.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18)\/(-45))\/((3\/(-3910))\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1706 + 1705.99999051. Round s to seven dps.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737846 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from ikioookixxi?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 204. Find the common denominator of 34\/9 and 170\/h*(-15)\/(-13).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 15*p**2 - 14*p + 29. Let t = 304 - 288. Calculate the lowest common multiple of b(t) and 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -0.2, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/4 + 3*t**3\/2 + 9*t**2 + 90*t. Is 2 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1\/((-7)\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2831 + 2826. What is the closest to -0.1 in q, -4, 6.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19440951 or -19440953?\nAnswer: -19440951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 41320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + 9\/2. Suppose -f + u*f = 9. What is the second derivative of y**f - 3*y - 1 + 1 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45019\/30 - -1500. What is the common denominator of ((-302)\/12)\/(4 - 1) and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/3))**(-1\/75)\/(y**(-4)\/y**(-9\/7)) assuming y is positive.\nAnswer: y**(4261\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -201*u + 227*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08275708 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1095.979572 + 1096. What is a rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57465388 to the power of 1\/2, to the nearest integer?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -1192?\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, 146, 400, 654, 908, 1162?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 112493634 and 112493635 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925 a factor of 36619670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -329, -493, -657, -821?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*i - 2*i + 4075, -4*q + 2*i + 5442 = 0. Round q to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10103 - 10100. What is the second smallest value in 75\/2, 2\/9, b, -2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23406 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1823199305 by 5.\nAnswer: -364639861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+2005\nAnswer: 2006.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*g + 473, 586 = 5*g - 2*u - 2*u. Calculate the remainder when g is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1686*g + 738*g + 954*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1129*j**2 + j - 6 + 26 + 1151*j**2 + j**3. Determine a(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(77)*2 - -2*(sqrt(77) - 1*sqrt(77)))*-2)\/((sqrt(392)\/(sqrt(21)\/sqrt(3)))\/(-2*sqrt(8)*-5)))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*s = 290*s + 1004. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.527 plus -235584?\nAnswer: -235584.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + sqrt(11) + 4 + (sqrt(44)\/sqrt(4))**2 - (1 + -1 + sqrt(11))**2).\nAnswer: 24 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*w + 15, 11*k = -5*w + 14*k + 9. Sort -2\/15, -4, w, 18, -1.\nAnswer: -4, -1, -2\/15, w, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3291 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 57 - 58 + 3*b + 28*b**2 - 3*b - 29*b**2. Let c(v) = 4*v**2 + 3*v + 2. Determine c(i) + 2*j(i).\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-309)\/(-721) - (-3)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 148 = -7*h + 4*u, -3*h = -2*u - 116. Suppose h = 5*w + 4*r, 4*r = -3*w + 10 + 12. Solve -w = -29*n + 24*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/(-1725) - 2\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2576*p + 59251. Determine k(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-7 + 0 - -2 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24264 and 53712.\nAnswer: 18100944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 781260*o + 781264.\nAnswer: -4*(o - 195316)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p = 127. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 + 13*t - 22. Let r be b(10). Suppose -f - r = 11*f. Let z = -47 - f. Calculate the remainder when z is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*i**2 - 3*h**2 + 46*h*i + 22691*h - 136*i**2 - i - 2 wrt i?\nAnswer: 2*h**2*i + 46*h - 272*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -29 + 2*k - 41 + 111 + 120. What is the hundreds digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 4, -3, -7 in decreasing order.\nAnswer: 4, -3, -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o + 34 = 979 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23429, -23433, -23437, -23441, -23445, -23449?\nAnswer: -23453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*p + 174. Let k(i) = p*i - 2*i**2 - 59*i. Let z(q) = -10*q. What is z(k(l))?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5093 = -k, 0*b = -4*b - 5*k + 5097. Suppose 3*g - b = 74. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:40 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 387 - 349. What is the remainder when x is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 137*g**2. Let l(w) be the second derivative of -w**3\/3 + 15*w. Give l(n(d)).\nAnswer: -274*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100477331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 5139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**3 - 5*z**2 - 4*z + 3. Let l = 5 + -2. Let y(u) = u - 2*u**3 - 1 + 4*u - 4*u + u**l + u**2. What is -q(w) - 3*y(w)?\nAnswer: -2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11072140*h**2 + 18795761.\nAnswer: 22144280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:31 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 205557*v - 40 + 84.\nAnswer: 205557*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -338 or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 9 + 5. Differentiate -d + 3*d - 2*d - z*d**2 - 1 wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 3*g - 3. Calculate l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -49. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/5 + 507*z**3\/5 - 1383*z**2 + 6409*z\/5 = 0. What is z?\nAnswer: 0, 1, 13, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*b = 1608. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2529 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*n + 3*c, -c + 2*c = 2. Suppose -n = 11*y - 6*y. Let a(k) = -k - 2. Determine a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0. Let l = h + 0.3. Let x = 1703 - 1702. What is the second smallest value in 0.4, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, 4, 1008 in descending order.\nAnswer: 1008, 4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-115416)\/40)\/(12\/(-80)). Suppose -12*b = -s + 6060. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = 18. Let u = w - 1. Let l(s) = s**2 + 8*s + 9. Let d be l(u). Solve 3 = -m - d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017876 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 44.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let d(w) = 5*w**3 + 4*w + 2. Determine -d(l) - 4*q(l).\nAnswer: -5*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11201 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + (3 - (4 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 29, 4 in ascending order.\nAnswer: -3, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 3}. What is prob of sequence wwnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g**3*x - 3*g**3 - 16*g**2*x - 4*g*x wrt g.\nAnswer: 108*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 - 5*s - 15. Let g be l(6). Suppose -y + 172 - g = 3*z, -188 = -4*z + 4*y. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 438*j**3 + 2*j**2 - 2. Let q be x(-2). Let h be (-4)\/10 + q\/(-84). Let u = -274\/7 + h. What is the common denominator of u and -23\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 - x**3 + 540 + 193 - 733.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7610916 divided by -1902729\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 191 - 1227. Let p(h) = -518 - h + z. Let g(x) = -60*x - 35. Let f(o) = 5*o + 3. Let w(n) = -35*f(n) - 3*g(n). Give p(w(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/4))**(-14\/9))**(-2\/11))**(-19\/6) assuming c is positive.\nAnswer: c**(133\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*b - 40*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*c - 17 + 17 + (-11 + 3*c + 11)*(9 - 2 + 10) to z*c + b and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 11}. What is prob of sequence zw?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (63\/120)\/7*46*(-43)\/(-2967)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-21)*(h\/h**(-4\/5))**(33\/4) assuming h is positive.\nAnswer: h**(437\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1534148, 1534142, 1534136, 1534130, 1534124, 1534118?\n\"Answer: -6*n + 1534154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 + 27 = -3*f, 3*y - 3*f = 45. Solve c - k + 17 = 4*c, -4*c + y = -4*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420223?\nAnswer: 17, 19, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -516. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:35 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 164*u + 6. Let j(p) = 165*p + 4. Give 3*j(s) - 2*y(s).\nAnswer: 2*s**2 + 167*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:12 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 34 = m + 3*m, -j + 12 = m. Suppose 0 = z - 32 - m. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 292532069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 800 - 805. Let s(k) be the third derivative of -7*k**4\/24 - 7*k**3\/6 - k**2. Let q be s(h). Calculate the highest common divisor of q and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb0d6 (base 16) to base 11\nAnswer: -518963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21262929 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 1738 = 1348 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13772 = -4*h + 51428, -5*h = -d - 81470. Suppose 9*f - 14*f = -h. Is f 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 9197453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 731465 - 3?\nAnswer: 731462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/530134 and -143\/289164.\nAnswer: 3180804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 3 + 0\/3. Suppose -3*f + 23 = -v*c, -f - 3*f - c = 0. Let h(i) be the first derivative of -3*i**4\/4 + 2*i**3\/3 - i - 6. Determine h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 91\/4 of a hour?\nAnswer: 1365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*n - 4033*g*n**3 - 2*g*n - 4*n**3 + 11*n - 3225 wrt g.\nAnswer: 3*g**2*n - 4033*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -362?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -2*o**6\/15 + 7*o**4\/12 + 23*o. What is the third derivative of n(h) wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**9\/252 - 4*p**5\/15 - 9*p**2 - 2*p. Let z(f) be the first derivative of j(f). What is the third derivative of z(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 92*w + 735. Give l(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -30*d**2. Let n(h) = -13*h**2 + h + 1. Let b(j) = -76*j**2 + 6*j + 6. Let g(p) = -b(p) + 6*n(p). Determine u(g(z)).\nAnswer: -120*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 65. Let g be 10 - 1 - (-3 + a + 2). Suppose -g*i - 30 = -2*i. Let f(x) = -4*x - 7. Determine f(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10387 + -9791. Calculate the lowest common multiple of 1043 and z.\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108547544 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 8. Let v be u(-6). Suppose -3*p + 0*p + 3 = 0. Let s = p - -2. Solve -s = -k - v*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255770248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 3. Let x(m) = -6*m + 3. Let u(s) = 5*n(s) + 4*x(s). Let l = -1 - -3. Let t be -3*5\/6*l. Give u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by 58941?\nAnswer: -91\/58941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33b + -1338?\nAnswer: -ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 6*n**2 - n. Let t = -22 + 29. Let q(i) = -i**3 - 2*i**2. Give t*q(u) + 2*h(u).\nAnswer: -u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -8, -1, 247, -3.\nAnswer: -8, -5, -4, -3, -1, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 2*y**2 + 1\/3*y**3 + 0*y + 1\/12*y**4 + 0. What is the first derivative of s(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*a - 105*a**2 - 1404*a + 798*a.\nAnswer: -105*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 273*v + 20*v.\nAnswer: 293*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-1)\/4). Let t be 2 + 4 + (41 - 25) - 2914\/155. Find y such that -m*y + 1\/5*y**2 + t = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 4519599?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.07 - 0.07. Let p = v - 8.5. What is the third biggest value in 6, 2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 62 = -28*f + 147 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3400*x = -2*k - 3*k + 3402*x - 3, 0 = 7*k - x + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43926379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 58944*p**2. Let c(n) = -6*n**2. What is x(c(w))?\nAnswer: 2121984*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115541 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 2*t - 894 - 897)*(2 - 2 + 2).\nAnswer: -4*t - 3202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i**2 - 3*i**3 + 1685*i - 1685*i in the form k*i + w*i**3 + n*i**2 + t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -433, -806, -1181, -1558?\n\"Answer: -b**2 - 370*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -481, 1 in decreasing order.\nAnswer: 5, 1, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 3, j: 1, x: 4, p: 8}. What is prob of sequence xi?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2))\/(690\/((-8855)\/(-77)))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5768 (base 11) to base 6\nAnswer: 55024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llklklllklkkklkllll. What is prob of picking 3 k?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t + 2. Let b be a(2). Let i = 3 - b. Let y = 2 + -3. Sort -2, i, y.\nAnswer: -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z + 21. Let y(k) = k**2 + 13*k - 5. Let a be y(-14). Let v be i(a). Let x = -45 - v. Calculate the highest common factor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33255, 133015, 299281, 532053, 831331, 1197115, 1629405?\n\"Answer: 33253*l**2 + l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(2\/53))*s)**9)**(-3\/4) assuming s is positive.\nAnswer: s**(-729\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 130, 136, 142, 148, 154?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92160795 and 3090.\nAnswer: 184321590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*d**3 - 22543*d**2*t + 2*d + 282961696*t with respect to d.\nAnswer: 534*d**2 - 45086*d*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3180 = 11*o - 61843. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8931862.\nAnswer: 2, 19, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1\/4 (c) -1 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1772+19\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-15)\/(-10) - 0). Let i be 3 + (-8)\/j*4\/(-8). Solve 29 = 2*x - 5*a, -i*x + a + 1 = -14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 785, 1584, 2393, 3206, 4017, 4820?\n\"Answer: -p**3 + 11*p**2 + 773*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(-3*a + 2*a - a) - 3*a**2 + 4*a**2 + 0*a**2 - 1266 - 40*a - 1273 + 2539 + 40*a - 58813*a**2.\nAnswer: -58814*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 13*u. Let o(j) be the second derivative of -17*j**4\/6 + 4*j + 384. Give t(o(h)).\nAnswer: 2312*h**4 - 442*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 + 14 = 0. Let f(k) = -6*k**3 + 5*k**2 + 7*k**3 - 3*k - 2*k + k + 8. Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 - (-23 - -49 - 25)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*b - 12, 0 = -3*u - 2*b - 2*b + 12. Suppose 0*q + 20 = u*q. Differentiate 3*n - 5 + 1 + q - 2 wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15150*b**5*k - 10*b**2*k**3 + 7*b*k**3 - 6559*b*k**2 + b*k - b + k**3 wrt b.\nAnswer: -303000*b**3*k - 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10957603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*p - 12 = 140*p. Suppose 0 = 5*q - 3*t + 7*t - 2209, 5*q = -p*t + 2213. List the prime factors of q.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215077 divided by 121?\nAnswer: 1215077\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, l: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 990.\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13728*q - 3872. Let u(t) = 2*t + 5. Let z(v) = -r(v) + 660*u(v). Differentiate z(n) wrt n.\nAnswer: 15048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u - 20 = 0. Solve 11*g**5 + 4*g**4 + 0*g**3 + 0*g**3 - 9*g**u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 162*g**2 + 1241*g. Let d(r) = -r**3 + 80*r**2 - 620*r. Let t(q) = 5*d(q) + 2*j(q). Find the second derivative of t(k) wrt k.\nAnswer: 6*k + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 47*r + 17788 + 8084 = 0. What are the prime factors of r?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/11)\/n*n)*n)\/n*n**(-4\/5) assuming n is positive.\nAnswer: n**(21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q)**38*q**(-1)\/(q\/((q\/(q*q**(-2\/5)))\/q*q)) assuming q is positive.\nAnswer: q**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*n - 48 + 43 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 27*g**3 - 4*g**2 - 4*g + 2. Let q(o) = 27*o**3 - 6*o**2 - 5*o + 3. Determine 2*q(u) - 3*s(u).\nAnswer: -27*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (21 + -4) - -7) + 1 - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let w(l) = -37296*l. Give m(w(x)).\nAnswer: 74592*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 + 7*y**2 - 7*y. Let h be t(5). Let w be (-4)\/(-6)*-3 - h. Suppose -a + 289 = 3*v - 2*a, 5*v = 2*a + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1300, 1257, 1214, 1171, 1128?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70033532201 - 1073403950040886\/15327. Let u = h - -27\/1703. Let k = -130 - u. Which is the closest to k? (a) -4 (b) 5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(13))*-4 - 5*sqrt(13)*-2) + 2 + (0 + sqrt(117) - sqrt(117)) + (sqrt(117) + -1 - sqrt(117))**2*3.\nAnswer: -6*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/13 or -3?\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 8*z - 26. Suppose 0 = -3*g + 5*i - 237, -4*g - 3*i + 6*i = 316. Let w = 73 + g. What is the units digit of n(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8481062 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4199 - 3819. Calculate the highest common factor of 25 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502068 is divided by 167176?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8927367 to the power of 1\/2, to the nearest integer?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -64, -253, -634, -1279, -2260, -3649?\n\"Answer: -12*f**3 + 12*f**2 - 21*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 7. What is the greatest common factor of s and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512 + 946. Let r = h + -364. Let j be (-1*2 - -1) + 29. What is the greatest common divisor of r and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 144616, -3 in ascending order.\nAnswer: -3, 3, 144616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -1 + -5 + (1 - 0) - -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9156.482 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142170 and 159810.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/6)\/(36\/(-16464)). What is the greatest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2299) + sqrt(2299) + 4)**2*-1*6.\nAnswer: 1056*sqrt(19) + 55272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = -g + m + 8*m + 20, g + 14*m = 75 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 5*y = -5*g - 28180, 4*g - 3*y = 28148. Let f = g + -3207. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7872 divided by -3?\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 8) to base 3\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 7*m**2 + 5*m + 8. Let c(d) = 2*d - 2. Let p be c(4). Let x be a(p). Is x*1 + (-28)\/(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 621599992*h**2. Let y(t) = t**2. Calculate z(y(r)).\nAnswer: 621599992*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 31*s - 117. What is i(19)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.4. Let q = -3.02 + 0.02. What is the nearest to -3\/2 in -5, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-20))\/(2\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/77 in -1\/3, 2, -28, -2, -8\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/98 and -39\/224560?\nAnswer: 1571920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 14*m**2 - 8*m - 32. Let y be h(-13). Let v = y - 121. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 183, -9 in descending order.\nAnswer: 183, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 635110 to the nearest 1000.\nAnswer: 635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138352 - 6?\nAnswer: 138345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-3)\/(-9) - 28\/(-6)). Sort 1, m, -5 in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56032 divided by -14008?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219150464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*sqrt(847)*3)**2 + (sqrt(196)\/sqrt(4)*3)\/sqrt(7)) + -1.\nAnswer: 3*sqrt(7) + 190574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-297)*3*(-5)\/2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 0 + 2)*(2*l - l - 2*l)*(98*l - 64*l + 616*l) to the form x*l + c + t*l**2 and give t.\nAnswer: 26650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.75 + 2.75. Let y = 0.3 - 0.4. Let a = 3 - 2. What is the closest to y in 0.09, a, s?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4 + 8784*x**3 + 26372*x**2 - 8784*x - 26370 = 0.\nAnswer: -3, -1, 1, 4395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**5 + 11*z**4 - 11*z**3 + 14*z + 11. Let r(m) = m**4 - m**3 + m + 1. Let j(s) = -2*k(s) + 22*r(s). What is the second derivative of j(w) wrt w?\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (2*(5 + sqrt(245) + 1 + sqrt(245) - (sqrt(245) + (-1 + sqrt(245))*-2) - (-5 + (sqrt(245) + sqrt(245) + 1)*2))*2)**2).\nAnswer: -9408*sqrt(5) + 28212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 9*c + 28. What is w(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -181*n - 6007. Let g be y(97). Round g to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4731 (base 12) to base 15.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 2*n, 2*n + 5 = -5*m. Let a be 0\/(1 + m - -4). Suppose -3*d - 3*k = d - 315, a = -d - 4*k + 95. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*m + 123 + 117 + 111 - 445 + 112 to the form k + w*m and give w.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 430\/(-301)*28\/12\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/7896)\/((-2)\/6)*1*-2.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7 + p**3 + 2580*p - 4*p**2 - 2585*p. Let m be q(6). Is -9\/8 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 43.91.\nAnswer: -17.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*c**2 - 108*c**2 - 84*c**2 + (-2*c - 1 + 1)*(-2*c - c + c))*(0*c**2 + 5*c**2 - 2*c**2) as n*c**2 + b*c**4 + m*c + o*c**3 + k and give b.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 62*w = -810. Suppose -w*d = -115 - 209. What is the least common multiple of d and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6*o + 116 = -2*o, -242 = -4*x + 2*o. Calculate the remainder when 113 is divided by x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173637.\nAnswer: 3, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4605*w = -168*w - 559062 for w.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1\/14*3. Let y = -90 + 92. What is the biggest value in 1, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-42 - (-204 + 97)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/12 - n**3 + 3*n**2 - 831*n. Let z be (5\/2)\/((-3)\/(-6)). Let q be z\/((-5)\/4)*-1. Give o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*p**2 - 1641*p**2 + 4*p**3 + 686*p**2 - 3*p.\nAnswer: 4*p**3 - 794*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 3. Suppose -s + 31 = n*o, 3*s + 4*o - 5*o - 45 = 0. What is the greatest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36596.37 minus 2.8234?\nAnswer: -36599.1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:55 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1071876358\/165 + -6496268. Let u = 530\/11 + h. Factor u*j - 2\/15*j**2 - 8\/15.\nAnswer: -2*(j - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3816*z + 5*d + 90 = -3821*z, -3*z = -d - 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(2 + -8 + (-1 - -4)). Suppose 2*j + 10 = -y*j. Let q(t) = 0 + t - 1 + 13. Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/122 in -2, -1, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - (12 - (24 + -12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -124, -118, -112, -106, -100?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b89 - 4?\nAnswer: -13b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18 (b) 4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*((-3)\/(-2) + -2). Let o be 44\/12 - (-8)\/f. Put o, 9, 2 in ascending order.\nAnswer: 2, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 + 0*d**4 - 1\/1260*d**6 + 0*d - 1\/420*d**5 - d**2 - 1\/3*d**3. Let q(s) be the first derivative of x(s). Factor q(l).\nAnswer: -2*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807545, -1807547, -1807549, -1807551?\nAnswer: -1807553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 796427.285 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-28)*(-340)\/(-153)*-3.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*u**3 + 166*u**3 - 71*u**3)*(-3 + 2 + 2).\nAnswer: 251*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1260)\/100 + -13 + 2\/(-5). Let c(y) = 2*y**2 - 7*y + 7. Let w be c(7). Let g = w + m. Calculate the highest common factor of 24 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*w**2 - 13\/3*w = 0. What is w?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -4 + 16. Let t(n) = -n. Let b(z) = z**2 - 5*z + 1. What is y*b(h) - 9*t(h)?\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 2*j**5 + 0*j**5 + 12*j**4 - 13*j**5 - 12*j**4 + (-5*j - j**2 + 5*j)*(0*j**3 + 0*j**3 + j**3).\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from kxxxkx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 3, -43 in decreasing order.\nAnswer: 3, 0, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 5 - 1 + 245.\nAnswer: 8*k + 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 f when three letters picked without replacement from {m: 1, t: 5, b: 2, f: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/20 + t**4\/12 - t**3\/6 + 2*t**2 - 4*t + 1. Determine p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4*l - 8, -3*j - 2 = -2*l + 14 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 66*1\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*k - 6 + 22, -3*k = o - 5. Suppose -12*h + o*h + 114 = 0. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56113, 83930, 111747, 139564?\nAnswer: 167381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758276 is divided by 3315?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u**2 + 3*u**2 - 4*u**2 - u + 2*u - 1. Let f be k(0). List the prime factors of ((-164)\/(-12) + f)*3.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*g**5 - 6*g**4 + 114*g**2 - 12102*g - 23 wrt g?\nAnswer: 800*g**3 - 72*g**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 4*s - 3*s)*(-2*s - 1 + 1 - 2*s - 4*s + 4*s + s - s + 2*s + (-3 + 3 - 2*s)*(0 - 2 + 0) + 2*s + 2*s - 2*s) to the form h + l*s + q*s**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -9. Solve -7 = n*o - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58896 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*f**3*t**3 + 2*f**3*t**2 + 2*f**3*t + 12294*f**3 + 172*f**2*t + 45450*t**3 wrt t.\nAnswer: 102*f**3*t + 4*f**3 + 272700*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 18 = 12*u. Let n(q) = -32*q + 1. Give n(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/35)\/((-2)\/14). Let w be (1 - d)\/((-1)\/2). Solve -w*c + 20 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893 - -1709. What is the highest common factor of 144 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 691 - 628. Suppose 0 = -u*k + 66*k - 840. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:01 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -6) + (-33 - -62). Suppose 23*x + 12 = -r. Put -1, 49, x in increasing order.\nAnswer: x, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:26 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-1)\/(-18)). What is the units digit of (-4 - 98\/l)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/y**(2\/43)))*y*y*y\/y**(-29)*y**(7\/5)*y*y*y*y**45*y assuming y is positive.\nAnswer: y**(17921\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 6*m + 2. Let b be n(4). Suppose 0*p - 5*p = -150. Let v = p + b. What is the remainder when v is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 1 - 2*s**2 + 4*s**2 - 4 + 3*s**2 + s**3. Let b be q(-5). Let u = 27 - b. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 + 4. Let s(m) = m**2 - 1. Let i be 2\/3 - 42\/(-36)*2. Suppose 5*z + i*l = 0, 2*z - 3*l + 3 = 6*z. Give z*p(d) - 12*s(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - z**2 - 5*z + 2. Let u(m) = 8*m**3 + 4*m**2 + 19*m - 9. Determine 9*k(p) + 2*u(p).\nAnswer: -2*p**3 - p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ads when three letters picked without replacement from {t: 1, d: 1, a: 2, r: 1, n: 1, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233322110 (base 4) to base 14.\nAnswer: 1b8192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 720*z + 10. Let c(x) = -16*x**2. Calculate i(c(d)).\nAnswer: -11520*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297213 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-90.49\nAnswer: -45.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1696 and 1120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182867689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*h + 1025*h - 4036*h.\nAnswer: -3662*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5975 <= -5980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117385359 and 100282.\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -3 (c) -12 (d) -0.3 (e) 2\/235 (f) -0.338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (38299\/(-5) + -3)\/((-7)\/(490\/28)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2016?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 - 2*k**4)*(-2273 - 2690 + 4557 + (0 + 2 + 0)*(0 + 0 + 1)).\nAnswer: 808*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -14*z + 50968. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.9885 nanograms to grams.\nAnswer: 0.0000001389885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*o + 24425, 2*o - 33134 + 8684 = -5*k. List the prime factors of k.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/4)\/(6\/9). Let n = -3 - m. Let w = n - 1. Which is bigger: 2\/11 or w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**3 - 23*p**3 - 30*p**3 + 15*p**3 + 5*p**3.\nAnswer: -77*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 411*t**2 + 5*t + 196. Let g(u) = 1232*u**2 + 14*u + 586. Let d(o) = 5*g(o) - 14*x(o). What is the derivative of d(m) wrt m?\nAnswer: 812*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(52)\/sqrt(4)*2 + sqrt(39)\/sqrt(48)))**2 + 3.\nAnswer: 1101\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*a*l**3*r + 41*a*l**3 - 3897*a*l**2 + 2*a*r wrt l.\nAnswer: 576*a*r + 246*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3152212266 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 67 (b) 0.1 (c) -2\/5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 0, -t - 24 = 3*a - 9. Let v(o) = o + 9. Calculate the remainder when v(a) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14314 = 9403*r - 9824*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2923272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222523 divided by -44?\nAnswer: -2222523\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffooffof. Give prob of picking 1 f and 2 o.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7291500 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uurr when four letters picked without replacement from rurruururrr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 271770, 2, -1.\nAnswer: -1, 2, 5, 271770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -468*k - 2178 - 576 - 3330 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1110483 - 3073?\nAnswer: -1113566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + -1 + -12 + 1 - 21?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 4*z**3 - 2*z**3 + (-3*z**2 + z**2 + z**2)*(2 - 3*z - 2).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 g when three letters picked without replacement from {j: 4, q: 2, g: 3, l: 2, m: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25442027?\nAnswer: 13, 1957079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(832) + 5 + sqrt(832) + (-1*(1 + sqrt(832)))**2).\nAnswer: 80*sqrt(13) + 4190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5392091.\nAnswer: 131, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -85*j - 838. List the prime factors of v(-72).\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0*l*l)*l)**(1\/4)*((l\/(l**1\/l))\/l)**(-3\/2)*(l\/(((l**(-1\/3)\/l)\/l)\/l))**(2\/63)*(l\/l**(-1\/2))**(-1\/5) assuming l is positive.\nAnswer: l**(-307\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - 835*n**2 + 11*n + 8. Determine z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*p + 3*a, -4*p + 4*a - 2 = 2*a. Let k(s) = 2*s**2 - s. What is the smallest common multiple of k(p) and -2 + 1 - -1*17?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53336727 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1316.7 - -1317. What is the closest to 0 in w, 2, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6348, -6331, -6292, -6225, -6124, -5983, -5796?\n\"Answer: u**3 + 5*u**2 - 5*u - 6349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 890845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2ff (base 16) to base 4\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 19564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i + 2. Solve i = 4*g + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-69)\/4)\/(19\/(-76)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, -3, -1 in decreasing order.\nAnswer: 3\/14, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-9)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z + 22 = -3*l, 14 = -4*z + l. Let u(k) = 4*k**2 + 15*k + 5. What is the remainder when 34 is divided by u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 19. Let s be (830 - -5)*((-36)\/l - 2). Suppose 2*i = c - s + 83, 4*c + 2*i - 1004 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18873, -18808, -18685, -18492, -18217, -17848, -17373?\nAnswer: -16780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7010928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j - 3. Let m be 7 + -4 + -5 - (3 - 1). What is w(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-20) - -8)*3\/18*3. Solve 15*b = -g*m + 17*b + 22, 2*m = 3*b + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0 + 0)*(-9*v**2 - 182 + 3*v + 373 - 181) + 2*v**3 - 4*v**3 - v**3 as l + b*v + h*v**2 + n*v**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*r + 3 + 228*r - 700*r + 236*r.\nAnswer: -5*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and 53\/13508586.\nAnswer: 27017172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 2. Suppose u + 2 = 4*q. Which is smaller: -2\/13 or q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 4, -17, -2\/101, -2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -254 and -28.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12350699693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -0.3, -0.01 in decreasing order.\nAnswer: 2, 0.2, -0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -3, -0.292, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Let q = k + 109. Find the common denominator of 17\/12 and (q\/(-9))\/(4\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742046 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnxxxfcrxxn. What is prob of picking 1 x and 1 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 7*s = -90 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17d98 (base 14) in base 3?\nAnswer: 10001201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245964801 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1148720368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 - 1969\/6. Let s = -0.076 + 0.076. Sort n, s, 0.1.\nAnswer: s, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 702*q**2 - 123 with respect to q.\nAnswer: 1404*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 - (91 - 102)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -6\/131 (c) -1\/5 (d) -10 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -b - 2, -2*b + 2*x = x - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1938 + 63959\/33. What is the common denominator of 97\/12 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3\/5, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135143235 - 41?\nAnswer: 135143154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u + 880. What is j(-25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 49 = -75. What is the derivative of -111 + 8 - 1 - 31*y**t wrt y?\nAnswer: -124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/4 - 0)*(2 + 3 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1632 + -826.1632. Let l = m - -825.9. Which is smaller: -82 or l?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2581.009995 + -2581. Let i = -0.01 + p. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 2*p + (-2 + 0 + 4)*(-3*p + 4*p - 2*p) + (-2 + 3 + 0)*(4*p + 3*p - 4*p))*(-89 + 12*p + 89).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, b: 7}. Give prob of picking 2 b and 2 d.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Calculate the remainder when 15 is divided by 364\/39 - t\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/7 (b) -5 (c) -3\/5 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + ((sqrt(144)*-2 + sqrt(144))*-5 - sqrt(144)))\/((sqrt(24) - sqrt(384))\/sqrt(3)))\/(-3*sqrt(324) + 3*sqrt(81)).\nAnswer: 5*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*b + 5025 - 775 + 2879 = 1009 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 4*v**4 - 10*v**3 + 64*v**2 - 87*v + 36.\nAnswer: (v - 3)**2*(v - 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 207 = 5*w, 4*u + w - 195 = u. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23 = -3*j + 3, -3*z - 15 = -2*j. Let v(n) be the second derivative of -3*n + n**2 + 1\/6*n**3 + j. What is the derivative of v(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 5*c + 20*c)*(5 - 5 - 3*c**4).\nAnswer: -39*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9174.626ml?\nAnswer: 9.174626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*b - 10 = 3*q, 4*q + 4 = 2*b. Let c(f) = -f**3 - f**2 + 9. What is c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f**2 + 0*f**6 + 0*f**4 + 1\/7*f**7 + 0*f**5 + 0*f - 3 - 4\/3*f**3. Find the third derivative of p(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4771 + -4771.01934. What is w rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:16 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + d**3 + 0*d**3 + 2*d**3 + 2*d**3 - 3*d**3 + 2*d**3 + 2*d**3 + (-3*d - d + 2*d)*(-2*d**2 + 4*d - 4*d) - 2*d**2 - 4*d**3 + 2*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (323 - 338 - (-28 + 1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232157 or 3946662\/17?\nAnswer: 3946662\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 85 + 13)*((4*k - k - 2*k)*(-5 + 0 + 3) - 2*k + 1 - 1 - 2*k + k - k + (-1 + k + 1)*(-1 + 0 + 2) + 3 - 3 + k - 4*k + k + k - 5*k + 28 - 28).\nAnswer: 506*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 - 231*x + 474 = 0.\nAnswer: -79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j\/(j*j\/(j**(-9)\/j))*j)\/j*j**10\/j)\/(j**(10\/9)*j*j*j*j*j**(1\/7)) assuming j is positive.\nAnswer: j**(-331\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)*m*m**(-3\/8)*m assuming m is positive.\nAnswer: m**(159\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -66804175 greater than -66804180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6613049106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -37. What is the tens digit of g\/((-6)\/(-16)*(-2)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/230 and -101\/16790.\nAnswer: 16790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 35 = 2*k. Let d = 117 - 65. Suppose -n = -5*m + 57, -3*m = m - 4*n - d. Solve 2*x = -0*r + k*r + 16, -m = -x + 4*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1122 and 4080?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 - c5cd9?\nAnswer: -c5da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 2 - o**4 + 0*o**2 - 3*o**3 - 3*o + 5*o in the form t*o + z*o**3 + p*o**2 + m + y*o**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -1996994590?\nAnswer: 1996994582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 72.75063 centuries?\nAnswer: 7275.063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*r\/((r*r**(1\/28))\/r)*r)\/r)\/r**(-9\/5)*r**(-1\/12)*(r**(4\/13)*r*r)\/r*r assuming r is positive.\nAnswer: r**(21809\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7041489 - 7041452.99971. Let r = 36 - l. Round r to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55699779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -985, -986, -987?\n\"Answer: -i - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*2)\/(-10))\/(43\/(6020\/(-28)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -97. Let r = c - -42. Suppose r*z = 3*d - 0*z - 43, -2*d = -4*z - 26. Solve 0 = -0*u + 3*u + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -21*p + 898. Let u be c(43). Let i(z) = 87*z - 82*z + 3 + 0. Calculate i(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 56826729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11093727.\nAnswer: -2\/11093727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68332837971+-0.1\nAnswer: -68332837971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51457?\nAnswer: 7, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 - 54*r + 4. Give m(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*z - 1. Let q be 9\/(-372)*(-1188978)\/z. Let x = q - -3197. Find the common denominator of x and -149\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than or equal to -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26394\/4 - 7\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((133125\/(-142))\/(-75))\/(2\/4*-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 121200222?\nAnswer: -121201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7522150*t**5 - 51242*t - 8?\nAnswer: 150443000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 840168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11251?\nAnswer: 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976942971.62 minus -0.04?\nAnswer: 3976942971.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1191 and 28981.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*n = -61*n + 2259, -11*y + 28 = -13*y + 4*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkaqy. What is prob of sequence qa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2986 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*p + 2310 = 261*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - 10\/(-50)*5. Solve 31*l = 34*l + 5*r - w, -5*r + 35 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 16*c = 21*c + 216, -4*t - 2*c + 886 = 0. What is the remainder when t is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -51*y. Suppose y = 5*f + 15 - 50. Solve -2*z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/5 + 31*r**4 - 188*r**3\/3 - 21*r + 9. Factor a(s).\nAnswer: 4*s*(s - 1)*(s + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -996. What is the remainder when n is divided by 199?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 - 5*w**2 - 4*w + 3. Let o(y) be the first derivative of u(y). Differentiate o(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 11*y + 18. Let f be p(-7). Let q = f + -124. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-14) + (-52)\/182. Suppose -4*h = -t*s + 9*s - 1858, -3*h + 1856 = 5*s. Suppose -2*g - 64 + s = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -115. Solve -2\/7 + 2\/7*g + 2\/7*g**l - 2\/7*g**3 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20116043.6 rounded to the nearest 10000?\nAnswer: 20120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11411 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/13 + 1155326868*q\/13 - 166847521490336178\/13 = 0.\nAnswer: 288831717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429*u + 12000 - 66302 = 0 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n - 50 = 0. Suppose 0 = 3*h + 4 - n. Factor -2*b**h - b - 2 + 4*b**2 - b**2.\nAnswer: (b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxz when three letters picked without replacement from ddzdzdxksxzxzkkxzdxd?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 92770.8 to the nearest 100.\nAnswer: 92800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*s**3 + 9020*s**2 + 11645*s + 2590.\nAnswer: -5*(s - 259)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.25701409 - 7.257. What is f rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 45. Let z(l) = 11*l**3 + 2*l**2 - l - 2. Let a be z(n). What is a rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -11 (c) 2\/15 (d) -449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4 + 2 - 1)*(2 + 10*z + 25*z - 39*z).\nAnswer: 24*z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374834 + 1874938\/5. Determine d so that 177\/5*d**4 - i + 1068\/5*d**3 + 6\/5*d**5 - 3459\/5*d**2 + 2976\/5*d = 0.\nAnswer: -16, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9309342 litres to millilitres.\nAnswer: 930.9342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 2, i: 13}. Give prob of picking 1 c and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-10) + 8\/(-10)*33. Let x = i - -21. Let a be x\/8 + (-33)\/(-88). What is the closest to 1 in 5, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -478, -479, -480, -481, -482, -483?\n\"Answer: -y - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1208 - 1005. What is the greatest common factor of 58 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82641 by -423.\nAnswer: -27547\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232810759 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5125.0199914 + 5107.4051. Let l = w + -60.3851152. Let m = 78 + l. Round m to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j. Suppose j*r = r. Let u(k) = k**2 - 2*k - 3. Let c be u(4). Sort c, -3, r in decreasing order.\nAnswer: c, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1614984, -3229911, -4844846, -6459789, -8074740, -9689699, -11304666?\nAnswer: -12919641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31682*f - 2\/3*f**3 - 31974 + 874\/3*f**2.\nAnswer: -2*(f - 219)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:10 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.1, 6, 1\/2 in decreasing order.\nAnswer: 6, 0.7, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -9*r**2 + 0*r**4 + 0 + 0*r + 0*r**3 - 1\/30*r**5. Let k(q) be the second derivative of q**4\/2 - q. Give k(v(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*h = -152*h + 57 + 231 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 33 + 6*f**2 - 3*f**2 + 33.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + t + 632 = 122, 0 = 3*f + 5*t - 1482. Calculate the least common multiple of 72 and f.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -b40b?\nAnswer: -b409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*x - 26*x + 499*x + 480*x as c + z*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/5 (c) 54 (d) 0.1 (e) 10\/31 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2\/25 (b) 6 (c) 10\/19 (d) -9 (e) 4 (f) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1122000562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 3*k + 736. Let a = 373 - k. Suppose -2*w = -a - 11. What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 554, 1105, 1656, 2207, 2758?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 519a9a29 + 1?\nAnswer: 519a9a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97989515 or 97989514?\nAnswer: 97989515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:45 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 at most as big as 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28923 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555 - -1005. Suppose -p = -207*c + 206*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/13 - 1463192*c**2\/13 - 267579770058*c\/13 + 13382646732900\/13 = 0.\nAnswer: -365823, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5760 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzffnfwfznwzf. What is prob of sequence wzwf?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*i + 7 = 0, 2*u + 589*i - 586*i + 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -367*m + 6212. What is the remainder when 2362 is divided by v(16)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 4 + 23*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113663.18 hours to weeks.\nAnswer: 6628.9475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i - 305*i - 125*i - 4172 = 5008 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -36701.8827 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*u + 446*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31\/1 - (-396872)\/(-11936)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62647745 + 5*g - 125295491 + 62647746.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -16*b + 125 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-32)\/(-36))*(10 - (-340)\/(-30)). Which is the closest to 2\/3? (a) 4\/7 (b) -1\/5 (c) 1.04 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:29 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 26 = 3*o, -21*o - 20*z + 4 = -19*o - 16*z for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310444095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.095? (a) -4 (b) -6 (c) 2\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 6*y + 3. Calculate q(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238046815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4396, -3 in descending order.\nAnswer: 3, 2, -3, -4396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 15. Let r(i) be the second derivative of -i**3\/2 - 11*i**2 + 3*i. Let v(l) = 7*k(l) - 5*r(l). Give v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -113, -168, -221?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 + 13d?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -648\/41 + 59099\/3690. Find the common denominator of v and -56\/345.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 110. Let q be w(-28). What is the smallest common multiple of 16*(q + 1 - 4)\/(-2) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 2*s - 4. Let k = 654 + -651. Let c(o) = o**3 + o**2 - 15*o + 5. Let v be c(k). Calculate z(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10 = 2*i - 4*c, i + 2*c + 7 = 0. Let m be (66\/(-186))\/(4\/4). Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 486*k = 3*c - 491*k + 39, -3*k - 6 = 3*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -49*b**2 + 1144*b - 1149. Calculate t(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13744, 27489, 41234?\n\"Answer: 13745*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 2, b: 2, a: 13}. What is prob of picking 1 a and 1 x?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 23. Let x(p) = -7 + 78*p - 4 + 77*p - 154*p. Let b(f) = -4*q(f) - 9*x(f). Give b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2796383 and 1102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4 - 309*j**3 + 20846*j**2 - 59784*j = 0.\nAnswer: 0, 3, 94, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 6. Let m be f(-2). Let i(h) = h**2 + 10*h - 72. What are the prime factors of i(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305653 is divided by 870?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42912 less than -207845349?\nAnswer: -207845345.57088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*l = 317*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -2*(-3)\/(-3). Let x = -3 + y. Let l(j) be the third derivative of -j**6\/120 - j**5\/12 - 5*j**4\/24 + 2*j**3\/3 + 9*j**2. What is l(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 16*u**2 - 6*u - 60. Does 54 divide h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:27 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414 + -383. Calculate the highest common factor of m and 1023.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/12, 9, -508, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000438257 rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 220273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**3 + 3*u**2 - 10*u - 5. Let c(f) = -13*f**3 + 11*f**2 - 30*f - 16. Let a(h) = -3*c(h) + 8*r(h). Give a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 2*r**4 + 8*r**2 - 2461*r + 1225*r + 2*r**3 + 1228*r + 5.\nAnswer: -2*r*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1.2, -1\/10, 3, 4, 3.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 21 - 27 = -3*o, -846*o + 841*o = 6*u - 80 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sllb when four letters picked without replacement from {x: 1, l: 6, t: 6, s: 1, f: 1, b: 1}.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78909760673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 21 = -82*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -335. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 6\/5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1555746, 3111438, 4667130, 6222822, 7778514?\nAnswer: 9334206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(5400\/30)\/15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1\/6 (b) -260 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5937 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(sqrt(117) + sqrt(117) + 0 - sqrt(117)))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(-3 - 2 + 7) - 2 + 3 - 3 + 3 - 3 - 1)*(1 + 2*z - 1) + (-2 + 2*z + 2)*(4 + 0 - 5) as u*z + t and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrdrdtg. Give prob of sequence gm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + -6.96. Let q = j + 7.1999987. What is q rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5430443 (base 7) to base 5.\nAnswer: 132203103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 7*o. Suppose t - 9600024 = -3*t. Suppose c - t = -o*s - 2*s, 3*c - 7199994 = 2*s. Round c to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.91. Let h = 12.41 + z. Let r = -11.5 + h. What is the nearest to -1 in 2\/13, r, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6500\/113601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfjafayykjjtjka. Give prob of picking 1 t and 2 j.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 451*l + 4*l**4 - 415*l - l**3 - 4*l**4 - 68*l**2 - 115*l**3 - 12*l**4.\nAnswer: -4*l*(l + 1)*(l + 9)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204289889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -6730.\nAnswer: 9\/6730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1263, -1, -3, -2639 in increasing order.\nAnswer: -2639, -3, -1, 1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s + 11. Let b(i) = -5*i - 5. Suppose 3 - 7 = -p. Let n(x) = p*m(x) + 9*b(x). Let h be n(-4). Solve 35 = -5*k + h*r, 3*k = -0*r - 2*r - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a (base 13) in base 10?\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.560645 microseconds to nanoseconds.\nAnswer: 6560.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 18*q = 18. What is the remainder when q is divided by 20*3\/36*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 3*t**2 + 2*t + 2. Let v be o(3). Let q(k) be the first derivative of -v*k + k + 3 + k**3 + 6*k. Differentiate q(r) with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118757.4 times 120\nAnswer: -14250888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -889a7 (base 14) in base 8?\nAnswer: -1206667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -31*p + 530055324 + 473384676. What is p rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*g = 57, -t = -g - 90 + 37. Calculate the greatest common factor of t and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765670079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/((-3408)\/781))\/(1\/4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 513920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 27*s - 40. Find the common denominator of 74\/9 and (-4)\/s + 2771\/765.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjf when three letters picked without replacement from ddfjjoffodfddftdf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {v: 1, o: 2, s: 2, f: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15)*3*(-12)\/(-54).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1 (b) 2\/7 (c) 2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 392224.\nAnswer: 1\/196112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.3, -1\/4, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9746851.\nAnswer: 97, 100483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3. Let k(z) = 2*z**4 + 3*z**3 - 99*z**2 - 15. Let f(l) = k(l) + 5*q(l). What is the third derivative of f(p) wrt p?\nAnswer: 48*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 174*m - 7140. Let x(y) = -52*y + 2380. Give -3*g(v) - 10*x(v).\nAnswer: -2*v - 2380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000101 + -1101011010001?\nAnswer: -1011100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*h - 0*z + 30, 4*h = 4*z - 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101011111 (base 2) in base 10?\nAnswer: 9055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2548\/15 + 170. What is the third smallest value in 0.4, -0.5, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469535861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6519208 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38756410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532.66883 hours to weeks.\nAnswer: 9.12302875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/24))\/m*m)**7\/((m\/(m*m**(-36)*m*m*m))\/(m\/(m\/((m*m\/m**(3\/19))\/m)))))**(1\/37) assuming m is positive.\nAnswer: m**(-11339\/16872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/60 + d**4\/2 + 6*d**3 - 40*d**2 - 144*d. Let c(y) be the first derivative of o(y). Find g such that c(g) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 78793*x**3 + 68919*x**3 + 0*x**2 + 3*x**2.\nAnswer: -9874*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97044217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 193\/4. Sort -5\/3, t, 0.5.\nAnswer: -5\/3, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f - 1. Let b(h) = -2*h**2 - 2. Let o(r) = 2*a(r) - 2*b(r). Let g(c) = -c**3 + c**2 + c + 1. Give -2*g(u) + o(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12*24\/54)\/(22\/297*-3)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -68, -0.2, 5, -11\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 2*q**4\/3 - 41*q**3\/6 + 2*q**2 - 2*q - 335. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4506*j**5 + 2078*j**4 - 9659*j**2 - 40*j?\nAnswer: 270360*j**2 + 49872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcjj. What is prob of sequence jjcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 36 + 8)*(-b - 4*b**2 + b) to k*b + u*b**2 + x and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, m: 1, w: 4, u: 2, p: 4, q: 4}. Give prob of picking 1 w, 1 q, and 2 p.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14056 + -14055. Put z, 0, -937 in increasing order.\nAnswer: -937, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:05 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + -4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0 (c) 3 (d) 0.4 (e) -0.1 (f) 199.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 11 + 1. Let p(x) = -4 + o - 6*x - 2. Let a(i) = -3368*i + 2*i**2 + 3368*i + i**2. Give p(a(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from uuruuruuuuvuv.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3448.121 grams?\nAnswer: 0.003448121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01089056 rounded to five dps?\nAnswer: -0.01089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*f = -13 - 2, 2*y - 5*f = 10. Suppose -7*r = -2*r + y*j + 15, -3*j = 4*r + 10. Which is the biggest value? (a) r (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-333))\/(-3)*(-27)\/108.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 1. Let l be 1\/((1\/(-3))\/(12\/(-36))). Let t(m) = -m. What is l*n(y) + 4*t(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1383, -2, 4, -405 in descending order.\nAnswer: 5, 4, -2, -405, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45315559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + 6*n + 24. Let o(a) = -14*a**2 + 17*a + 68. Let q(z) = 17*b(z) - 6*o(z). Let k(g) = 504*g + 2. Give q(k(s)).\nAnswer: -254016*s**2 - 2016*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*((-176)\/(-16))\/(-66).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -33, -13 in descending order.\nAnswer: -3, -13, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2 = -2*h, 0 = u - 2*h + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 7*z - 6. Let k be h(6). Sort 1, -1, k, 65 in decreasing order.\nAnswer: 65, 1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3402108537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14837904 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -11, -4, -10781 in descending order.\nAnswer: 1\/8, -4, -11, -10781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 + 2 - 20*h**3 - 2.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.116, -27, 0.3, 5, -3 in ascending order.\nAnswer: -27, -3, -0.1, 0.116, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 j, and 1 l when four letters picked without replacement from kklljkklkjkjljkjk?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52609920 divided by -12408?\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**3 - 6 + 2*i**5 + 2*i - 6*i**3)*(-1 + 3 + 6).\nAnswer: 16*i**5 + 16*i - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -37*q**4\/4 + q - 48. Let z(n) = -2*n**2. Calculate z(j(g)).\nAnswer: -24642*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/((-63)\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u + 12 = 46*u - 1590 - 5148 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 a when three letters picked without replacement from {k: 1, x: 3, c: 3, h: 3, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*y - 4*y + 22, -10 = 2*s - 2*y. Let j = 0.1 + -0.1. Which is the third biggest value? (a) 3\/7 (b) 1\/6 (c) j (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 115*x - 867. Give p(89).\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2a45a (base 11) to base 3\nAnswer: 2012011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**3 - 3*x**2 - 4*x + 6. Let n(z) = -7*z**3 + 3*z**2 + 5*z - 7. Let h(q) = 5*l(q) + 4*n(q). Suppose -4*j = -c - 7, -2*j + 2*c = -1 - 1. Give h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36767747, -73535490, -110303233, -147070976, -183838719?\nAnswer: -220606462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-123)\/(-161) + 5 + (-37)\/7. Let f = r + -119\/345. What is the fourth biggest value in -1, 4, 0, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007732059722 rounded to 7 dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2eb (base 15) in base 12?\nAnswer: 47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-5) - 6\/15. Solve s - i = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -28*d + 962. What are the prime factors of d?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 273575493 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:49 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-30)*-4 - 36\/(-10). Suppose 2*x + 3*i + 6 = -5, -4*x + 28 = -4*i. Solve -2*p + y - x*y = 8, k = -y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 38 = 5*h. Let z(q) = -8*q**2 + 4*q - 9. Let m(i) = 17*i**2 - 8*i + 18. Let w(c) = h*z(c) + 3*m(c). Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -8*h + 3*f - 43, -22 = -4*h + 2*f. Solve d + 4 = -y - 4, 4*d + h = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17244 + 19846. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 78*g**2 - g. Let x(o) = -109*o. What is x(f(z))?\nAnswer: -8502*z**2 + 109*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(12)\/(sqrt(576) - sqrt(576)*2)*5.\nAnswer: -4 - 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.5, -3 in ascending order.\nAnswer: -3, 0.06, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*s + 3 + 1, 0 = 2*y - s - 4. Let d be ((-10)\/6*-3)\/y. Suppose -d*t = -5*b - 2*t + 452, 3*b - 2*t - 271 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309 by 1.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 - 8*f - 4. What is a(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 + 732*j**3 + 12003*j**2 - 26198*j + 13464 = 0. Calculate j.\nAnswer: -18, 1, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (90\/(-12))\/15*10. Let u(m) = -m + 9. Let t be u(5). Let x be (3\/t)\/(18\/4). What is the closest to x in -5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91721 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 4, 16*f + 4 = -3*l + 18*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/33)*t)\/(t\/(t*((t\/(t\/t**(-1\/4)))\/t)\/t)))**(-47) assuming t is positive.\nAnswer: t**(7379\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 2*z - 4*i, -3*z = 2*i. Let f be 2*(100\/(-24) - -4). Let n = f - -1. Which is the second biggest value? (a) n (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 39*y + 43. Calculate p(37).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18824658 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*n + 12 + 4, r = 5*n + 7. List the prime factors of (-31)\/n - (-18)\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, j: 2, z: 2, m: 1, f: 1}. What is prob of picking 2 z, 1 s, and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 + n - 1. Let z(g) = -10*g**3 - 3*g**2 + 3*g + 3. Let f(w) = 3*r(w) - z(w). What is the derivative of f(t) wrt t?\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 4. Let a be c(3). Suppose -2*u + 2*g = -3*u + 3, 0 = -4*u + 2*g - a. Let l = -5 + 3. Is u at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 35 = 10. Suppose -4*s - 2*a + 2 + 4 = 0, 5*s - n = -a. Let h = -19 - -41. Calculate the least common multiple of s and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 + -0.05. What is a rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -10443\/13318 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ac (base 13) to base 5.\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -20*b**5 - b - 133 - 109\/2*b**2 + 0*b**3 - 1\/4*b**4. Find the second derivative of y(t) wrt t.\nAnswer: -1200*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*f + 4 - 34, 4*a + 9 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from 48.23618.\nAnswer: 58.23618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oddood.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 24. Let p = 18 + m. Does 8 divide (35\/p)\/(1\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v + 18*v - 48*v + 23*v + 3*v**2. Let j(c) = -9*c**2 - 32*c. What is 8*d(a) + 3*j(a)?\nAnswer: -3*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 600913 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101a2ab (base 12) in base 4?\nAnswer: 23202120203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -bb6a0 (base 12) to base 6\nAnswer: -5152320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.2151.\nAnswer: -0.7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 21*w - 124*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 divided by 154?\nAnswer: 367\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1688 = -3436. What are the prime factors of k?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 48. Solve -4*a - 41 + 4 = -5*g, -j*a = -g + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 3*x + 80. Let g be (-2)\/(-4)*(-116 - (2 + 0)). Let a = x + g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896290008?\nAnswer: 2, 3, 29, 277, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**2 + 14*q**3 - 1235 + 1235 to the form u*q**3 + s*q + z + d*q**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -92. Let m = 84 - j. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -16. Let x(s) = -25*s - 13. Let v(l) = -76 - 65 + 21*l - 40*l + 116 - 32*l. Let f(r) = z*x(r) + 3*v(r). Differentiate f(j) wrt j.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 23*g**5\/60 + 14*g**3\/3 - 21*g**2\/2 + 13*g. Let r(v) be the first derivative of k(v). What is the derivative of r(d) wrt d?\nAnswer: 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4144 = 430*s - 414*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 58\/3 - 7\/21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r + r - 6 = 0, -11 = -4*b - r. Let h be (-320)\/30*(-6)\/b. Calculate the common denominator of (h\/(-24))\/(16\/162) and -41\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 48*s + 179. Let x be h(-4). Solve 8 + 10 = x*l + 3*d, -5*d = -5*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 3. Let l = -23 + 26. Let k be m(l). Let i(t) = -3*t**3 - 5*t**2 - 3*t + 3. What is the units digit of i(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 + (6 - 10\/(-2)). Suppose 5*g = 4*q - 51, -3*q + 9*g + 42 = 4*g. Let s = q + o. Solve -6*l = -l - s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 13 + 43. Suppose 9*f + i = 2*f. Is 19 a factor of 1*76 - 1\/f*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(39)\/(-2*sqrt(3)) - sqrt(143)\/(sqrt(11)*-2))**2 - 6*sqrt(26)\/sqrt(2)*-4.\nAnswer: 13 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*-3*(-3 + 4). Solve 3*i + u - 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -16*z**5\/35 - 9*z**4\/7 - 8*z**3\/7 - 2*z**2\/7 + 10. Factor o(g).\nAnswer: -4*g*(g + 1)**2*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, 2\/13, -15 in descending order.\nAnswer: 3, 1, 2\/13, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*(2 + sqrt(475) + -3 + sqrt(475)))**2 - 1*(2*sqrt(475) + 5)).\nAnswer: -180*sqrt(19) + 15198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156*b**4 + 179 with respect to b.\nAnswer: 624*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.15598 + -55262?\nAnswer: -55264.15598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 64*h**2 + 2. Let v be p(-2). What are the prime factors of 3\/(-12) - v\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375743 rounded to the nearest 100?\nAnswer: 375700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrarrrrrrarcrrwrvr. Give prob of picking 1 r and 1 a.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u, -2*u + u = -j + 6. Solve g + j = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400*n**3*o**3 + 22*n**3*o**2 - 16*n**3 - 16*n**2*o**3 - 251*n**2 - 219 wrt n.\nAnswer: -2400*o**3 + 132*o**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13122 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 36 + 36 - 12. Calculate the smallest common multiple of 410\/35 + (-2)\/(-7) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.245927 minutes?\nAnswer: 194755620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12516850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 10*h. Let n be u(10). Let f be (-6)\/(-12) + 2\/(8\/(-14)). Let m be f\/(-33)*(-3)\/(-3). Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/((s**4*s)\/s)*s)\/s)\/((s*s\/(s\/s**6))\/s*s*s*s)*(s*s**(-4))\/((s**7\/s)\/s))\/(s**(4\/11)\/((s\/(s\/s**(-1\/8)))\/s))**(18\/5) assuming s is positive.\nAnswer: s**(-5359\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5490 = 16*a - 18050. Suppose -14*v = -19*v + a. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*b - 778 + 241 = 0, 2*c - 215 = b. Let n = c + -64. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 454 = 8*t - 326 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36777304 divided by 6\nAnswer: -18388652\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 18*o - 25*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 9. Suppose -7*a + 2*a + 27 = -2*w, a + 27 = -5*w. Let r be t(w). Let o be (11\/r + 3)*3. Let c(v) = v**3 + v**2 + v + 1. What is c(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(425) + -2)**2 - (sqrt(425) + 5*(-1 + sqrt(425) - sqrt(425))).\nAnswer: -45*sqrt(17) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 102392271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 360299.\nAnswer: -1\/360299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 85111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -100?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53862 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 2)*-5 + -4)**2 + 0.\nAnswer: 1260*sqrt(3) + 6271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from rrnurrrrryanrkrnn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*c + 1736 - 1736)*(-1 - 2 + 5) + 3*c - 5*c + 5*c + (0*c - c - c)*(3 - 2 + 1) + 0*c + 0*c - 2*c.\nAnswer: -123*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22562191969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y**(-2\/33)*y*y)\/y**(-15))**(-18))**(-2\/19) assuming y is positive.\nAnswer: y**(7896\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2248 + 135011\/60. Calculate the common denominator of 63\/8 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 49*k**3 + 99*k**2 - 3105*k - 4725.\nAnswer: (k - 7)*(k + 15)**2*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932 is divided by 956.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -3\/2 (c) -1 (d) -2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, a: 7}. What is prob of sequence faff?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*y + 0 + 3*y)*(-6*y**2 - 12*y**2 - 5*y**2).\nAnswer: -23*y**3 - 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3, -81.\nAnswer: -81, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*96\/104. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhzzhzh. What is prob of picking 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + k + 2*k. Let i = 128 - 129. Let x(p) = 4*p + 2. Determine i*z(d) - x(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2812 + 2874 - 5686 + 1434*h. Let n(p) = 7*p**2. What is n(i(b))?\nAnswer: 14394492*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 4 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3278789498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -166.17. Let u = 0.830000228 + o. What is u rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q - 346*q = 170*q + 17332 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19248994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 7*t - 3. Let m be i(-5). Let a(c) = c**3 + 7*c**2 - 8*c - 6. Let r(q) = 9*q - 125 - 8*q**2 - q**3 - 54 + 186. Determine m*a(z) + 6*r(z).\nAnswer: z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/12, 10, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/174)\/(2\/110) + (-176)\/(-132).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 = -2*q, 2*q + 0*y + 3*y + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 55*u - 274. Let p be z(29). Solve -11*t + p = -107*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (1 - 5)) + 1 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -2*q - 171. Is (-20)\/(-30) - (-16)\/(-6) - q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vejvvvjjjvjjjjjjv. What is prob of picking 1 j and 3 v?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216642 not equal to 216600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60218 is divided by 263.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -199 and -0.4?\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**3 + m**2 - 3*m + 1. Let t be z(1). Suppose -6*p = 15 - t. Is 26 a factor of p + (-15)\/(-9) - 1410\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 9*z**2 - 6*z - 32. What is the lowest common multiple of 12 and l(-9)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 57*h + 3. Let c(s) = 6*s**2 - 71*s + 4. Let z(q) = 5*a(q) - 4*c(q). Let j(d) = 5*d**2 - 7*d - 5. Give -j(l) + 4*z(l).\nAnswer: -l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*h - 2*x + 5 = 0, -x = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - (-16)\/40. Let c = -12 - -12. Let y = -6.3 + 1.3. Sort w, c, y.\nAnswer: y, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166020 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 - 795838 + 795838.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1080*o**3 + 38*o + 138. Is y(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 19*w - 312. Suppose 0 = -u - 5*z + 548, 2*z = -2*z + w. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -138, -324, -584, -918, -1326?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/58457 and -58\/3579?\nAnswer: 175371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0 + 1\/30*i**5 + 0*i**4 - 14*i**2 - 11\/6*i**3 + 0*i. Differentiate m(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1 - 77\/(-33)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 13 = -1. Is j < -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4551 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -4, -5, -121\/8, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899833793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 19*v**2 + 40*v + 1421. Give f(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:52 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-3)\/12)\/(111705\/(-89364)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-5))\/(-8))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -33*t - 29*t + 13*t. Let p(d) = -9*d + 9*d + 0*d + 2*d. Determine p(q(b)).\nAnswer: -98*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 9*j + 9. Let q be m(-8). Let c be (-100)\/15*6\/5. Let h be ((-2)\/(-4))\/(11\/c). Do h and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -31 + 7. Let g be (0 - 4\/5)*8020\/(-6416). Let b(a) = a**3 - a**2 - a + 1. Let u(i) = 5*i**3 - 6*i**2 - 6*i + 8. Determine g*u(m) + o*b(m).\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 188 - 2*r - 882.\nAnswer: -2*r - 889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + 2*k**4 + (1 - 1 - k)*(-17*k + 0*k - 7*k)*(-2*k**2 + k**2 + 0*k**2).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.76342 litres in millilitres?\nAnswer: 59763.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 7, c: 3, m: 6}. What is prob of sequence cm?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 17527*l + 17536*l - 34, -8*l + 32 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2257376b + 0?\nAnswer: 2257376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -647, 2, 5, -3, 365, -2 in increasing order.\nAnswer: -647, -3, -2, 2, 5, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48b + 284?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 76 = -13*h. Calculate the remainder when 55 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538900345.\nAnswer: 5, 19, 16198951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(-1\/3)\/d))*d)**(-9))**(10\/13) assuming d is positive.\nAnswer: d**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-2730)*49)\/(16\/(-120)*-21)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 12*x = -14*x - 75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + -3.24. Let i = d - -2.9. Let l = i + 0.4000001. Round l to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*s - 186*s + 974*s - 170*s - 181*s - 181*s.\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11330 and 50.\nAnswer: 56650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 114110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43972879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10294, 10293, 10292, 10291, 10290, 10289?\nAnswer: 10288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 - 200. Solve 5*q = -22 - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Solve 5*z + 21*d = -304, -18*z = -20*z - 0*d - 3*d - 100 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004896 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 138, 779, 1856, 3375, 5342, 7763, 10644, 13991?\n\"Answer: n**3 + 212*n**2 - 2*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 9) in base 7?\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14278447, -28556906, -42835365?\n\"Answer: -14278459*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 4, -27649?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 313738 times 0.3\nAnswer: 94121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5*z + 2*l = 20, 5*z = 5*l + 55. Calculate the remainder when (-1)\/((-87)\/(-45) + -2) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 665 and 6517.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10704582*i**3 - 245543 with respect to i.\nAnswer: 32113746*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 86. Suppose -10 = t + 3*g, -t = -2*g - 3 - 12. Let x = t + -1. Calculate the highest common divisor of x and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -49, 4?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 0.08271?\nAnswer: -15.91729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20825 divided by -35?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7))**24*f**(-1\/9)*f\/f**4)\/(f**(3\/5)*f*f**(4\/9)*f*f**8\/f**(-7)) assuming f is positive.\nAnswer: f**(-4504\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 0 - (-20 - -16). Suppose -3*k = r - 17 - 301, -3*k + 972 = u*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, 4, 752, 240, 2 in ascending order.\nAnswer: -5, 1, 2, 3, 4, 240, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55\/2 + -27. Factor 1\/2*u + i*u**2 - 1\/2 - 1\/2*u**3.\nAnswer: -(u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 + 2*w**2 - w - 1. Let q be a(1). Suppose 11 + 493 = q*k. What is the greatest common factor of 140 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, -4 in increasing order.\nAnswer: -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-3)\/(-5) - (30 - 504\/21)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 35552.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 210980 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*q - 36*q**5 + 48*q**5 - 219*q wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let w(y) = 12*y**2 - 10. Let b(s) be the third derivative of s**5\/15 - s**3\/2 + 13*s**2. Let f(n) = -10*b(n) + 3*w(n). What is f(i(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)**(-4\/13)\/(r**(1\/2)\/r**(-9))*(r\/r**(-1\/4))**(1\/32)*(r**8\/r*r)\/r**4 assuming r is positive.\nAnswer: r**(-9599\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 486 = 504. Let x(f) be the second derivative of -7\/30*f**3 - 1\/12*f**4 + h*f + 1\/25*f**5 + 1\/5*f**2 + 0. Factor x(o).\nAnswer: (o - 2)*(o + 1)*(4*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, h: 3, c: 7, p: 4}. Give prob of sequence hyp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7535 (base 11) to base 2\nAnswer: 10011011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*q**5 + 9*q**2 - 9*q**2 + (-3*q - q + q)*(-q**3 + q**3 - q**4).\nAnswer: 68*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11217 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 6:26 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*c - 12 = 0. Suppose -4*v = 9*v - 390. Does 3 divide v\/(-1)*c\/((-60)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8441 + 1711. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2819054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 + 5323 = 25*x. Calculate the highest common divisor of x and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, -104, -288, -472?\n\"Answer: -184*p + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -42*o**2. Let l(k) be the third derivative of 10*k + 0*k**3 + 1\/24*k**4 + 2*k**2 + 0. Determine m(l(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84053649*m**2 + 5707447*m - 8 wrt m.\nAnswer: -168107298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193 - 203 - (3 + -2 + -2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6647 - 6613. Calculate the highest common divisor of w and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 435. List the prime factors of f(0).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 16) to base 14\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -51 + 9 - -46?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42381413201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -7956.14?\nAnswer: -7949.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1759, -1501, -715, 869, 3521, 7511, 13109, 20585?\n\"Answer: 45*r**3 - 6*r**2 - 39*r - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1080.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - 34. Let r = f + 43. What is the smallest value in 3\/4, 2\/45, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**3*b**3 - 4*a**3*b + 6*a**3 + 2*a*b + 51*b**5 wrt b?\nAnswer: -90*a**3*b + 1020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2119?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 6*x**2 - 4*x**2)*(1 - 1 - 2) - 13*x**2 - 13*x**2 + 4*x**2 + (1 + 2*x - 1)*(2 - 2 - 2*x).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.039 and 147.6.\nAnswer: -5.7564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.670365 + -0.1712.\nAnswer: 3.499165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*x + 0*x - 85113 = -188*x. What is the remainder when 1205 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.317*1.\nAnswer: -29.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(605) + -6*(5 + sqrt(605)) + sqrt(605) + (sqrt(605) + sqrt(605)*-4*-5 - sqrt(605))))**2 + 5)*-5 + -4.\nAnswer: -7010129 + 475200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 5*t**2 - 3*t - 15. Let s = 23 - 28. Let k be a(s). What are the prime factors of (k + -6*1)*(-265)\/10?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 4. Suppose 2*z - 2*p - 894 = -6*p, -1832 = -a*z + 3*p. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:48 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 - h**2 - 2*h - 3. Let w be z(2). Let u = 66 + w. What is the lowest common multiple of u and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 7*w + 6. Let r be v(6). Suppose -n = 2*h - 2, r = 2*h - 0*h. Find j, given that 2*j - 2*j**n + j**2 + 3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 192 = 37*x. Suppose -2*u + 20 = -2*z, 2*z - 33 = -5*u - 11. Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21785*p**5 - 373*p**3 - 9*p**2 - 2*p + 81874?\nAnswer: -1307100*p**2 - 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 - (-7)\/((-21)\/(-6)). Let x = n + -3. What is the least common multiple of x and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*l + 115*l + 107*l.\nAnswer: 175*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50499 is divided by 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.02109984 + 0.3.\nAnswer: 2.32109984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 - i. Let c be q(6). Let w be (-654)\/c + (1 - 2). Suppose 0 = 4*l - w + 32. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4453 is divided by 105.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544 a factor of 52384832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.980528ng?\nAnswer: 0.000003980528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**2 + 18*s - s**2 + 7*s**2 - s**2 wrt s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1277 + -1272. Solve 4*j - g - 16 = 0, -b*g - 5 = -3*j - 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 57. Let q = -20 - s. Suppose -3*x + 9 = -q. What is the remainder when 42 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 26 = 5*r, r = 5*a - 11. Let z(i) = i**2 + 9*i + 15. Let l be z(-7). Suppose l = -6*f + 25. Is a less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 1126*o\/15 - 452\/15.\nAnswer: 2*(o - 113)*(5*o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4932168099.\nAnswer: 3, 137, 12000409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 34*q**2 - 6*q - 48. Let n be i(-34). What is the highest common divisor of n and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sos when three letters picked without replacement from {s: 6, o: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 + 13*v - 18. Find the first derivative of y(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 443, 892, 1527, 2354, 3379, 4608, 6047?\nAnswer: 7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 9*o**2 - 2. Calculate the remainder when 58 is divided by n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3248.18 and -1672.64.\nAnswer: -4920.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*o + 2*o = 740, -2*o = -3*n + 730. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8*h - 4. Let n be d(6). Let f(v) = -v - n + 5 + 0*v. Determine f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 4. Let c be x(0). Suppose -c*m + 6 = -m. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*i - 0*i - 5*g, 2*g + 8 = 0. Let s = -1259\/14 - i. Let h = 1053\/7 + s. Find the common denominator of -29\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-96)*6*12)\/(3\/((-33)\/(-77)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 divided by 22?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/60 + 5*n**3\/6 + 8*n. Let v(d) be the second derivative of o(d). Let y(f) = -3*f. Give y(v(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*c*k**2 + 81*c*k + 3*c - k**2 wrt k.\nAnswer: 262*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.52692 years to months.\nAnswer: 1134.32304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-2 - -1) + 267\/267. Suppose 0 = 5*c + 2*y - 140, -c + 2*c = -y + 25. Let g = 0 - -4. Solve i - 2 = o, c = -o - g*o - a*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d. Let g(s) be the first derivative of -8*s**3\/3 - 16. What is j(g(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/258 and 27\/86.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 3*d - 1. Let q be m(2). Let p be 2*(45\/6)\/q. Let i = p + 8. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/10)\/(-28*(-75)\/5250).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**5 - 23*w**4 - 21*w**3 - w**2 + 19*w + 6. Let f(y) = 9*y**5 + 22*y**4 + 21*y**3 + y**2 - 18*y - 6. Let x(k) = 5*b(k) + 6*f(k). Factor x(d).\nAnswer: (d + 1)**3*(d + 2)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n - p + 116, -3*p = 3*n - 126. Let i = n - 20. Suppose i = v + 3. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 3099529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:50 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*t + 57 + 158, 5*k + 2102 = -64*t - 591 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 4627.92?\nAnswer: -1480.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 2109577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -30*k + 148. Give t(-13).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r**2 + 5*r**2 + r**2 to the form t*r + s + j*r**2 and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.3 + 0.3. Let n = -13 - v. Let o be (-15)\/36 - (-4)\/6. What is the nearest to o in -2\/11, -1, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/4200 - b**6\/1800 - b**5\/300 - b**3\/3 + 3*b**2. Let f(k) be the first derivative of w(k). Find c, given that f(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14168 and 29\/1048432.\nAnswer: 1048432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by -32\nAnswer: 357\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43600 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 4*r**2 - 7*r + 6. Let y be j(4). Let x = 31 + y. Let k be ((-6)\/x)\/(1\/(-3)). Solve 4*f = k*z - 24, -3*f + 8*f + 16 = -z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42547\/29 - -1467. What is the third smallest value in 3, 1, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277530\/17 - -16330. Factor -82\/17*c + 2\/17*c**3 + f*c**2 + 0.\nAnswer: 2*c*(c - 1)*(c + 41)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y**2\/3 - 91519*y\/3 - 7958\/3 = 0 for y.\nAnswer: -3979, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11641 - 11499. What is the remainder when 3537 is divided by o?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*y - 6*y. Let b = y - 4. Is 1\/(-3) + 22\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*s - 87 = -277*s + x, 5*s = 3*x + 79 + 2 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*o*w**3 - 2*o*w**2 + 2238*o*w - 66*w**3 wrt w.\nAnswer: -216*o - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocem when four letters picked without replacement from {m: 3, e: 1, c: 1, n: 1, o: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let k be r\/(-4) - (-55)\/20. Which is the third biggest value? (a) -0.5 (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12164 is divided by 1369?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 11*x + 8. Let a be t(12). Let b(c) = -4*c - 6. Is 5 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2702 and (-8)\/(-36)*(-20 - -38) - (-7000)\/(-1737).\nAnswer: 24318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 119524*o + 27610057. What is u(-231)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Suppose f*n + 4*n = -3*s - 7, -3*n + 2*s - 1 = 0. Let h(a) = -a - 1. Let b be h(-5). Sort b, -6, n in decreasing order.\nAnswer: b, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/2329803 and 91\/2.\nAnswer: 4659606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184, -748, -1688, -3004?\n\"Answer: -188*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/((-1755)\/(-26100)) + 6 + -12?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -45. Is o >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8398 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-2 + -2)\/(-2). Suppose 2*v - 6*v + q*g - 19600010 = 0, 3*v - g + 14700005 = 0. Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -27*b**5\/20 + 37*b**3\/3 - b**2 - 20*b. What is the derivative of w(a) wrt a?\nAnswer: -162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - (-24)\/14. Let a be (5 - v)*(-6)\/9. Let q be 2\/8 + a\/(-8). Put q, -2\/5, 0.2 in ascending order.\nAnswer: -2\/5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.92? (a) 0.5 (b) 2 (c) -2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 7*x**2 - 4*x - 4. Let z be w(-6). Let s be (z\/20)\/((-2)\/40). Round s to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (0 - (0 + -4)) + 25 + 8 + 27.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i - 2*i - 15*i**2 + 0*i + 5*i**2 + 13*i**2.\nAnswer: 3*i**2 + 38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 7*d**5\/10 + d**4 + 7*d**3\/6 + 17*d**2 + 2*d. Is t(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.609392 months to decades.\nAnswer: 0.1384116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**2 + 23. Let a = -1 - -1. Let h(n) = -4*n**2 + 2*n**2 + a*n**2. Calculate p(h(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3 - (-2)\/1. Let d be (-448698)\/1166 - (-2)\/(-11). Let s = d + 387. Solve -5*h - 3*o = -o - 16, -a = s*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**3 + 20*n**2 - 26*n - 82. Let l be x(-9). What is the greatest common divisor of 130 and l?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1160\/19 - 5819\/95. What is the second smallest value in 3, -858, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -45308*j**2. Let r(i) = 59*i**2. What is r(z(a))?\nAnswer: 121116076976*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdxxxxddx. Give prob of sequence xx.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159 (base 13) to base 16.\nAnswer: -f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2873520.\nAnswer: 2, 3, 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 383*j - 356*j - 150 + 7*j**2 + 53*j = 0. Calculate j.\nAnswer: -15, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 4*q**3 + 4*q**3 + (4*q**3 - 5*q**3 - 2*q**3)*(28 + 8 - 21) to g*q + y + i*q**2 + u*q**3 and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 = -r, -5*r - 4*n - 110 = -105 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1375 and -2962?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 8*s - 19*s)*(-s + 115*s - 28*s).\nAnswer: -1290*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 + 5*o**2 - o + 4. Let h(k) = -k**3 - k. Let b(s) = s - 2. Let y be b(6). Let p(l) = y*h(l) + v(l). Calculate p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40244304 (base 6) in base 3?\nAnswer: 2010222210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2617186 times 132\nAnswer: -345468552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*0\/2. Suppose v*f = -3*f + 3. Suppose o - f = 6. Solve -5*s = -o - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6711880.5 seconds?\nAnswer: 1864.41125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115416 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -597161*r**2\/8 - 1492903*r\/4 - 5\/8 = 0.\nAnswer: -5, -1\/597161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*f = 4*f + 135, -59*f - 53*f + 1074 = 16*z - 110*f for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 10105263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 8*r - 8. Let w be d(-6). Suppose -w*l - 4*m + 7*m = -20, -4*l - m = -4. Which is the biggest value? (a) l (b) -4\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*j = -4 - 20, 2*j = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610140 by -3.\nAnswer: 203380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 10*p + 4. Let g be i(9). Let s = 4 + -3. Let v = s - g. Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.945 rounded to 2 dps?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 154, -63\/8, 0?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*q**2 + 5*o**3*q + 183*o**2*q**4 + 17*q wrt q.\nAnswer: -4*o**3 + 2196*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*28\/1575)\/(3052\/(-588) - (-6 - -1)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from cwccwwcwcwy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 1509, 2273, 3043, 3819?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195040 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.3. Let u = 3 + -2.99. Let d = u + 1.99. Is d at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.49 - -0.01. Let v = 1.5 + d. Let i be 2\/(-6) - (-4)\/30. Put i, -3\/5, v in ascending order.\nAnswer: -3\/5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 222.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 6*s - 4*s)*(3 - 3 + 6*s) + (-3*s - 1 + 1)*(2*s - 1 + 1) to i*s**2 + p*s + c and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1678*b**2 - 21*b**5 - 27 + 64*b**5 - b**3 - 24*b**5 - 18*b**5 - 28*b wrt b.\nAnswer: 20*b**3 - 6*b - 3356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/(-18)*6\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20271 + 37648. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 2 (b) 0.4 (c) -7.4 (d) -2\/13 (e) -11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79814767 and 516682?\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178 and 27.43085.\nAnswer: -4882.6913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1080 times 110\nAnswer: 118800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 2*r + 4. Let k(b) = 6*b**2 + 3*b + 11 - 5*b**2 + 2*b + 4*b**2. What is -11*c(v) + 4*k(v)?\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/6, -3, -2.6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-2 - -237) + 5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94.9? (a) -2 (b) 0.5 (c) 10 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45.4 and -1.6327?\nAnswer: -74.12458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9560 and 4.\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 32*v - 1653. What is l(-60)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7)**(8\/17) assuming s is positive.\nAnswer: s**(56\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:36 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 13. Let a be h(4). Let z(p) = p**3 + 10*p**2 + 7*p - 2. What is the tens digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/91 and -65\/77?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 + 18*x - 7*x - 8*x - 4*x. Determine o(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 7. Let x(r) = r + 1. What is u(d) + 6*x(d)?\nAnswer: 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4695, -9464, -14315, -19248, -24263, -29360?\nAnswer: -34539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.8722751 to 1 dp.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 4*t**4 + 4*t**4 - t**4 + 3*t**2 + 2*t**2 - 4*t**2 + (2 - 5 + 5)*(-2*t**2 - 2*t**2 + t**2)*(-t**2 + 3*t - 3*t).\nAnswer: 13*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31435*b**3 - 28471.\nAnswer: -94305*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 320 = p. Let v = 174 - 184. Let h = v + p. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44751601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 2, z: 10, o: 1}. Give prob of picking 2 z, 1 u, and 1 g.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 93*b**2 + 39. Let l(w) = 3*w**2 - 30*w + 4. Let r be l(10). Let t(s) = s**2. Let x(c) = r*t(c) - i(c). What is the derivative of x(f) wrt f?\nAnswer: -178*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 2}. Give prob of sequence xrx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306571 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -130*o - 9*o**2 + 130*o. Let u be s(-1). What are the prime factors of 25 - (u + 3 + 3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 15 = -5*n. Factor -111*o**2 + 36 + 5*o + n*o**2 + 97*o + 14*o**3.\nAnswer: 2*(o - 3)**2*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 475776?\nAnswer: 5233536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5257 in -5, 1\/30, 107?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2475*y**3 + 7*y**2 + 2523*y - 15. Let z(h) = -2474*h**3 - 6*h**2 - 2522*h + 12. Let k(o) = 4*q(o) + 5*z(o). Find the second derivative of k(r) wrt r.\nAnswer: -14820*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 2173 - 2175 + 3*u**3 in the form a*u**2 + d*u**3 + r + v*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0.2, 8, -3\/4, -0.1, -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 604 = 4*h - 9*h, -h - 5*o = 116. Let v = 169 + h. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-55) - 2\/(-5). Suppose 4*g + 1 + 3 = c. Sort g, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.03368 - 221.87668. Let m = 0.036 - -218.964. Let f = c + m. Round f to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094168 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 59*j**2 - 361*j - 17. Let y be h(7). Solve 28 = 4*n - y*s, 0 = -20*s + 21*s + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 9. Let n be (1\/2)\/(v\/(-210)). Let d be 7\/49 + n\/(-7). What is the third smallest value in d, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 273042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s. Let k(z) = z**3 + 4*z**2 - 12*z + 2. Let a be k(-6). Differentiate 3 + 2*i + s*i - a*i + 5*i with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 1967\nAnswer: -1180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52965 is divided by 970?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2575*p. Let b(h) = 290*h + 1. Give b(o(y)).\nAnswer: 746750*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405528, 405526, 405524, 405522?\nAnswer: 405520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (23 - 10 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4502, 203?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17365 take away 0.03?\nAnswer: -17365.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11*h\/(h**32\/h) assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268228443*j**4 - 127187534*j**2?\nAnswer: 6437482632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555028197 divided by -3.\nAnswer: -185009399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/2 - 134*h**3 + h**2\/2 + 134*h = 0. Calculate h.\nAnswer: -268, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -5*m - 9, 0 = h - 2. Suppose -g - 4*y + 20 = 0, 0 = 2*g - 4*g - 3*y + 20. What is the common denominator of 61\/26 and g\/(16\/31) + m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/7 and 28\/74059?\nAnswer: 518413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119139027 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 846\/20771 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/9 (b) 1 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -3*y + 85. Suppose 0 = 5*d + 3*a + y, -2*d + a - 32 = -0*a. Let s = -5 - d. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29850 = -390*w - 804*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*t - 35, 0 = 65*a - 60*a + 2*t - 151. Suppose j + j - 186 = 0. What is the greatest common divisor of j and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -189*o + 2258. Calculate q(13).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 5589.7?\nAnswer: 5589.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3042.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 1530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/5 (c) 5 (d) -10\/3 (e) 31 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 117. Let p be w(-17). Is ((-2)\/(-3))\/(p\/951) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-15))\/((-1)\/(-5)) + 1. Find the third derivative of 5*z**4 + 263*z - 66*z**3 - k*z**4 - 263*z - 231*z**2 wrt z.\nAnswer: 48*z - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsnkqgq. Give prob of picking 1 q, 1 w, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*l + 9*l + 17*l + 19*l - 17*l**3 to the form t*l + g*l**3 + s + h*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16 = -w - 4*q, -5*w + q = -10. Let t(p) = 5*p**2 - p + 1. Give t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 977724 * -0.4.\nAnswer: -391089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295 + -165. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494 is divided by 1075?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.0114 + 15.1. Let h = -0.4114 - g. Put h, -7, -2\/23 in increasing order.\nAnswer: -7, h, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edddeddooxedeo. Give prob of picking 1 e, 2 d, and 1 o.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2258892 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 306*u**2 + 610*u + 35. What is c(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 24\/5, 2\/9, 2\/7, -0.09 in decreasing order.\nAnswer: 24\/5, 2\/7, 2\/9, -0.09, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-4) + (-1*7)\/(8\/(-2186))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47823, 47856, 47875, 47880, 47871?\n\"Answer: -7*h**2 + 54*h + 47776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-4 + 22 - 5) + -9 - -4) + -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 94*l**2 - 82*l**3 + 84*l**3 + 234*l**2 + 83*l**2 to the form q*l**3 + d + p*l**2 + n*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 6, k: 1, z: 3, r: 7}. Give prob of sequence zfk.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 59*t - 17. Let c be n(6). Let z = 569 - c. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -720, -1409, -2094, -2775, -3452, -4125?\n\"Answer: 2*q**2 - 695*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 5 = -44*r. Let l = 2 - -6. Which is the closest to r? (a) 1\/5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 173.948 from -0.9765.\nAnswer: -174.9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(315) + sqrt(315)*-1))\/sqrt(5)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 + 3*x. Let b be k(3). Calculate the highest common divisor of b and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*l + 806*l**3 - l - 401*l**3 - 407*l**3 + 9 in the form x*l + j*l**3 + w*l**2 + t and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -5 (c) 0.124 (d) 4\/9 (e) -4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*y**5 + 58*f*y**3 + f*y**2 + 40*f - 5*y**4 + y**3 + 2*y**2 - 4*y wrt y?\nAnswer: -60*f*y**2 + 348*f - 120*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350578757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 + 40)\/(-4))\/(-2). Suppose 5*k + 5*n + 9 = -1, -22 = k + s*n. Find the first derivative of -7 + k + p + 8 wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3 - 4\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115614562.\nAnswer: 2, 7, 31, 271, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -930649?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -372446 or -372445?\nAnswer: -372446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4)\/(4\/3). Suppose -3*r + 5*t + 37 = 0, -9 - 11 = s*t. Suppose -x + 48 - r = 0. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)\/(z**0*z)*(z\/(z\/(z*z**(-2\/21))))\/z*z\/((z\/z**(-2)*z*z)\/z))\/((z**(-3\/8)*z\/(z*z**(4\/7))*z)\/(z*z**2*z**(-5)*z)) assuming z is positive.\nAnswer: z**(-4829\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 12, 25*t - 18*t + 190 - 777 = -t - 44*t - 5*a for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 53*n + 626. Calculate i(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 4, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2992988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(3 - 1 - 3)*(-284*h + 1264 - 1264 + (-4 + 0 + 2)*(-h - 4*h + 3*h)).\nAnswer: 280*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - m - 2 = 0, 5*q - 177*m = -180*m + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmmmffmmfmmfmffmfffm. What is prob of sequence ff?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3926594 divided by -131\nAnswer: 29974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -41*k**3\/3 + 14*k**2 - 5*k + 5. Differentiate o(i) with respect to i.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:32 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1314171, -2628372, -3942573, -5256774, -6570975?\nAnswer: -7885176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) + sqrt(3) + -2 - ((sqrt(3) - (sqrt(192) + -1) - sqrt(3)) + sqrt(3)))**2*5 - (sqrt(192) + -1 + 0 + sqrt(192))**2) + 5.\nAnswer: -238*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-924)\/483) - 1218\/12?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(55)\/sqrt(11))**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let r(w) = -w + 18. Let s be r(17). What is the closest to 1 in 2\/7, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 8:13 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:20 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 613 + -907. Let q = -294.2016 - g. Let r = 0.2 + q. Round r to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + m)*(5*m + 3*m + 0*m).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 40*s**3 + 11*s**2 + 37*s - 30. What is the remainder when v(4) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2*3\/(-24)). Let x(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 91. Calculate x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 5, u: 7}. Give prob of picking 1 u and 2 p.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:22 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -72. Let n(q) be the second derivative of 10*q**3 - 2*q**2 + 4*q. Let s be n(u). Calculate the greatest common divisor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372829.\nAnswer: 1372829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 7:51 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 128.2. Let h = -2291 - -2300.8. Let t = w - h. Which is the biggest value? (a) t (b) 0 (c) -0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 266\/35 - 3\/5. Let f = 89 - a. Is f a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17028114007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 18*u + 1. Suppose 4*t - 253 = -7*t. Let o(w) = 10*w + 12*w - t*w. Calculate o(d(y)).\nAnswer: -18*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(-1)\/(-3). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25134*h**2*m**2 - 2*h*m**2 - 4601*h*m - 4*m**2 wrt h.\nAnswer: 50268*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a + 5 - 14*a - 17*a - 9 + 4 - 2*a**2.\nAnswer: -2*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from {x: 3, y: 4, k: 11}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 357803226 and -24864?\nAnswer: 357828090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 196217350*k + 751785416?\nAnswer: 196217350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -1474, -3309, -5888, -9217, -13302, -18149?\nAnswer: -23764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 579 and 155751.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*i = 60, -6 = i - 2. Let s(l) = l - 1. Let f be s(3). Suppose -c + n + 7 = 5*n, 17 = 5*c + f*n. Solve -w = -4*k + 5, -5 - t = -c*k - 3*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102110112201100 + -120?\nAnswer: -2102110112201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*n - 922, 10*n + 940 = 4*x + 6*n. Suppose -18*i + 19 = -x. What is the least common multiple of 350 and i?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1697 and 39053061?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3737636*a*i**3 - 18*i**3 + 116079*i**2 wrt a.\nAnswer: 3737636*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9438 + 16943 + 16480 + 8663 = -1484*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 7*s = 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 52. Let y = j + 80. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 39180 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 3. Let k be v(-5). Let x be 62\/8 - 7\/k. Suppose 10*l - 20*l + 120 = 0. Calculate the greatest common factor of x and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1521 divide 335403315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b + 55*b - 63*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(360\/16)*-6*8\/6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210585 by -1055.\nAnswer: -42117\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73573442?\nAnswer: 2, 61, 479, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96619 is divided by 3992.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuvv when four letters picked without replacement from {v: 4, u: 1, t: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1 + 7 - 12 - 3*t. Let a be p(-3). Suppose a*u - 15 = f + 40, 5*f = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o - 5*k = -92*o + 42, 32*o - 31*o + 7*k = 2 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -8 - (-5 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -379, -3298, -1, -0.69?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156 + 309 - 135 + 3*f**2)*(6*f - 3*f - f)*(2*f + 0*f + 0*f) to m*f**4 + c + a*f**3 + i*f + v*f**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*k**3 - 4*k + 2*k**2 + 0*k**2 - 12250 + 12249)*(2*k - 2*k - k).\nAnswer: 29*k**4 - 2*k**3 + 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**4 + 2*q**4 - 3*q**4 - 3*q + q + q**3 to y*q**4 + p*q**2 + a + t*q**3 + i*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b**3 + 7*b**3 - 10*b**3)*(3*b - 2*b + b)*(-5 + 6 + 3) to the form c*b**2 + i*b**3 + l*b**4 + m + x*b and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.66 + -4.7. Sort z, 0.1, 103 in descending order.\nAnswer: 103, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:49 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22221, -22249, -22325, -22473, -22717, -23081, -23589, -24265?\nAnswer: -25133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 842 times -1.3\nAnswer: -1094.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10410.3821 rounded to the nearest integer?\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 4*t**3 - 2*t**3)*(2*t + 2*t**2 - 2*t) - 659*t**5 + 51*t**5 - 942*t**5.\nAnswer: -1546*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -14. Let l(y) = -2*y**3 + 14*y**2 + 4*y + 1. Let m be l(d). Suppose 2*h - m = -35. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1207791 by 2511.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-5) - (-14)\/175*-5. Let d be 8\/12*9\/(-12)*-6. Solve -f*z = -2*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*r + 161 + 165 = 0, 0 = n + 5*r - 109. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 750969 - 43?\nAnswer: 750926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-5))\/34*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1512\/114)\/(-7) + (-18)\/171\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 30. Let u = o - -19. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*j = 880*q - 882*q - 119*j - 22, -3*q - 2*j = 41 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 99420.66?\nAnswer: -99419.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 - (4 + -18 + 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 156 - 152 = 0. Solve -4*f + 3*k = -14, -4 + a = 2*f + 3*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 111. Let o be p(-21). Let h(g) = 0 + 7*g + 4 + 1 + 2. Let a(z) = 8*z + 7. Let x(t) = -5*a(t) + 6*h(t). Give x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56420\/8 - (-1)\/(-2).\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1392*w + 695*w + 674*w - 5 + 5*w**2 - 2*w**3 wrt w?\nAnswer: -12*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0 - -2) + (-2 - -6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -91 + 106. Solve p*o - 8 + 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = t. Solve -t*k - 12 = -4*s, -3*k - 4*s + 3 = -3*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 1.2. Which is the nearest to -3? (a) -0.2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/465*(-1)\/(-2) + (-1)\/(-330).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**2 + 17*b**3 + 18*b**2 - 27 - 34*b**3 + 19*b**3 + 20*b**2.\nAnswer: 2*b**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88196\/3 - -29400. Factor -2\/3*v**5 - 8\/3*v**4 + 0 - n*v**2 + 0*v - 10\/3*v**3.\nAnswer: -2*v**2*(v + 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -41, -59, -75?\n\"Answer: h**2 - 23*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3326963.433 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -53*i - 530. Let s(k) = -25*k - 265. Let w be (-5 - -3)\/(5\/3 + -1). Let q(g) = w*l(g) + 5*s(g). Differentiate q(m) with respect to m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 268 + 861 = 48*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 244*u**3 + 6 - 151*u**3 - 135*u**3 + 4*u + 4*u + 2*u**2. What is the lowest common multiple of 1 and f(-2)?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 10*j**2 - j + 14. Let m(z) = -z**3 + 3*z**2 + 15*z - 15. Let q be m(5). Determine u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012959 rounded to 7 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1646529 + 1515071 = 190*a. Does 80 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 837938*s + 22.\nAnswer: 837938*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 4:54 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 693*l + 5824. Determine q(169).\nAnswer: 2951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1824 + -1828. What is the second biggest value in -2\/31, 1\/3, y?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cauhcuchnaaccacchcc. Give prob of sequence ccun.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 55*i\/3.\nAnswer: i*(i - 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (2 + -1)*0*-1. Suppose -h - 5*n + 853 = -10*n, 2*h - x*n = 1724. List the prime factors of h.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27526383 and 14487570?\nAnswer: 275263830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(539) + -5)**2 + sqrt(176) + 1.\nAnswer: -65*sqrt(11) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3371 - 3401. Which is the fourth biggest value? (a) -5 (b) n (c) -1\/9 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 + 2*z - 20. Determine v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372042 and 7.\nAnswer: 2604294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9)\/(-6 + -3)*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.05 (c) 3.472 (d) 0.1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -900*j - 68. What is the units digit of g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 6*g + 5. Let m be 1\/(-4) + 323\/(-68). What is j(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679 and 2619.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3352687 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134\/33 - 236\/99. Let h be (-4)\/(-6) - 135712\/(-66). Let k = 2060 - h. What is the common denominator of k and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/65)\/(4\/(-5) + 5\/((-275)\/(-33))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2) + (1*sqrt(44))**2.\nAnswer: sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m - 6. Let q be (-90)\/(-63) + -1 + 54\/21. What is x(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 9*t**2 + t + 9. Suppose -60 = 9*c + 21. Let n be x(c). Suppose 4*y + a - 729 + 228 = 0, y - a - 129 = n. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkgo when four letters picked without replacement from gowockwokoowkookw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 8*s**2 + 15*s + 14. Calculate p(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c - 8. Suppose 3*n - 3*p = 2*n + 9, n - p - 5 = 0. Suppose -23 = n*o - 2. Calculate the lowest common multiple of 3 and k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/192 and -15\/11?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3396 plus 5?\nAnswer: -3391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f + 1. Suppose -w = -5*u + 6, 2*u = -2 + 4. Let d be c(w). Solve -3*p - 2 = 4*v, -p + 6*p + d = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 384 + -292. What is the highest common factor of f and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 39, 1, -48, 10 in descending order.\nAnswer: 39, 10, 8, 1, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -326 - -63053565?\nAnswer: 63053236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.3 in 4\/5, 42, 27, -16?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75900 = -27*n + 76278. Let v(k) = -k**3 + 15*k**2 - 2*k - 3. Determine v(n).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-10) + (-32)\/80. Let r(f) = -f**3 + 6*f**2 - 4*f + 2. Let n be r(4). Is n\/12*662\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*t + 139*t = -3652 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56275235, -112550476, -168825717?\nAnswer: -225100958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvtla. Give prob of sequence ljl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 180 (c) 68 (d) -5 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 27724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.1 (c) -0.3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l - 12*l + 6*l to the form m*l + y and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*q + 205, -x - 62*q + 59 = -63*q. Calculate the highest common factor of 1197 and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(4\/6 + 17\/(-12)). Let l be -14 - r\/1 - 0\/(-2). Let o be (l\/(-20))\/(1\/(-148)*-1). Calculate the greatest common factor of o and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1176*q - 117631. Calculate n(-100).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 4, -338, -120?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + 1 - 3). Let h be (-7637 + 7639)*(0 + 1 - (-3 + 2)). Let c = 0.2 - 0.1. What is the nearest to h in c, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*a - a. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.682435 times -0.05\nAnswer: -0.03412175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*h - 340*h - 157*h - 6*h - h**2.\nAnswer: -h**2 - 826*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-1)\/(3\/(-6)). Suppose 0 = 5*k + 5*p - 57 - d, 4*p = -2*k + 28. Is ((-146)\/k + -3 + 2)*-5 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejeeeejeeejjeeeejee. What is prob of sequence jjj?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 6:45 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 127*x**2 - 5463*x + 84. What is u(43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l**2 + 16*l - 14. Let k be o(-13). List the prime factors of ((-8)\/10)\/((-5)\/k) - 5.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -23.63.\nAnswer: -448.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 144610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -114 in -74, -2, -1\/3, 0.1?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11210755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from issnsgnsssnnsdndsnn. What is prob of sequence dd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 756615073 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*r**3 + 30413*r - 256266 wrt r?\nAnswer: 18*r**2 + 30413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + m**2 - 2*m + (4*m - m - 9*m)*(-2*m - 1 + 1) + 114*m**2 + 76*m**2 + 60*m**2.\nAnswer: 263*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -20*d**2 + 103*d - 145. Find the first derivative of m(o) wrt o.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138328 - -216853. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m**2 + 197*m + 30. Determine y(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121980 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 50, 87, 122, 155, 186, 215?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 9. Let q = -0.01 - -1.11. Let x = -1.1 + q. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27513?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 24\/(-20) + 2\/10. Suppose 12 = 5*h + 3*s, -5*s = -5*h - 0*h + 20. Solve 5*x + 6 = l*u - 4, -5*u = h*x + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/54*(-367 - -1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 7 = -9*r - 2*k, -7 = -2*r + k. What is the derivative of 10*o**r - 9*o**3 + 0 + 65 + 58 - 40*o**2 wrt o?\nAnswer: 3*o**2 - 80*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 598819026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 7 = -11*v. Let c be v\/56 - 19\/24. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4048121 * -5\nAnswer: 20240605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005209046 to 7 dps.\nAnswer: 0.0000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + 11*b + 78. Determine u(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1244.6727444 and 4?\nAnswer: 1248.6727444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 2\/5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, k: 7}. What is prob of picking 2 k?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8038975 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t**3 - t**3 + 9*t**3)*(-18 + 15 - 17) to the form n*t + r + m*t**3 + w*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2609*k - 5176*k - 1550 = -2592*k for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, -35, -310, -975, -2192, -4123, -6930, -10775?\n\"Answer: -27*d**3 + 48*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*z - 64*z + 18*z + 1610 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10) - (6 + 2016\/(-90)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 7*a. Let q(i) = 2*i - 7. Suppose -3*j - 22 = -j. Let w(k) = 6*k - 20. Let b(u) = j*q(u) + 4*w(u). Let h be b(4). Calculate s(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) - -3*sqrt(225))\/(sqrt(108) - sqrt(108)*-1) - (-2*(1 + sqrt(147) + 0 - ((sqrt(147) + -1)*6 + sqrt(147))))**2.\nAnswer: -21364 + 7061*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.5 minus 46303?\nAnswer: -46062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -577, -573, -567, -559, -549, -537, -523?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2021 - -4?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.88 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 259, 951, 2121, 3781, 5943?\n\"Answer: 2*u**3 + 227*u**2 - 3*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 126?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.7 - 54.3. Let p = -61.5 - v. Which is the biggest value? (a) 2\/9 (b) 3 (c) 10 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 1. Let l be h(1). Let q = 101 - 99. Solve 0 = -q*x - l*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*m - 277*m + 560*m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.207547 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 + 131. Let r = 2 + 3. Put -10, 4, z, r in decreasing order.\nAnswer: r, 4, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-15)*t*t))**20 assuming t is positive.\nAnswer: t**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3698*3292\nAnswer: -12173816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848 divided by 2?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*v**2 + 239*v**2 + 9*v**2 + 220*v**2 + 154*v**2 + 678 wrt v.\nAnswer: 1466*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 2. Let t(m) = -5*m + 2. Let s(x) = -x - 13. Let y be 18*(14\/(-4) - -3). Let b be s(y). What is b*q(u) + 3*t(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38197 is divided by 19090?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -8 (b) 4 (c) 0.39001 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 20 - 9 - 11 + 71*u + 12 to the form d*u + n and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 39\/(-182). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u - 3*u - 8*u to the form o + m*u and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2517458 - 2517457.83000144. Let b = -1.27 + 1.1. Let a = j + b. What is a rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 10*p + 5. Let c be u(-10). Suppose -119 - 106 = -c*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**2 + 2*b - 15. Give i(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2*i**4 - 4*i**4 + i**4) - 35 + 20 + 15 - 2*i**4.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.73658 kilometers to micrometers.\nAnswer: 34736580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -218 and -218 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 25 - (-2 + (-3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 807643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 less than or equal to 488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -79, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 4*w - 0*u, 2*w - u - 1 = 0. Let h(n) = 1 + w + 0 + 0*n - 2*n. Let j be h(-2). Solve 2*k + 4*o = -22, j = 5*k - 10*o + 5*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*u - 15 + u**2 - 41 + 0*u**2.\nAnswer: u**2 + 536*u - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, 3, -8\/7, 11, 0.55 in descending order.\nAnswer: 11, 3, 0.55, -0.3, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1723 divide 240870231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/11)\/i)\/(i\/i**(2\/7)))**(-48)*((i*i\/i**0)\/i**(3\/2))\/(i**(-1\/4)\/i)**43 assuming i is positive.\nAnswer: i**(36677\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3 + 18. Let v(x) = x - 2. Let p be v(t). Let s(o) = -o**2 + 4*o - 3. Determine s(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199432 (base 16) to base 10.\nAnswer: 1676338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 3, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 232148*w**2 + 1392764*w + 1160620.\nAnswer: 4*(w + 1)*(w + 5)*(w + 58031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (27 - 0) + (870 + -906 - (-28 + 1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 4990*s - 1245005.\nAnswer: -5*(s - 499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729324885 take away 2.79?\nAnswer: 5729324882.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r**4 + 13*r**3 + 25*r**2 + 4*r. Let w(z) = z**4 + z**2. Suppose -i + 27 + 9 = 0. Let j(f) = i*w(f) - 4*p(f). Determine h so that j(h) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (5 - 2) + 3. Let z = 12 - f. Let o(w) = -w**2 + 4*w + 2. Let t be o(4). Solve -z*v + 6 = -i, v + t*i - 4 = 5*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-68)*(-2)\/(-1))\/((-50)\/425).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 1. Suppose 0*h + 6 = 6*h. Calculate the remainder when h is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2. Let q(g) = -10*g + 5. Let a(d) = -15*d + 7. Let j(r) = -5*a(r) + 7*q(r). What is j(i(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 k when four letters picked without replacement from {b: 14, k: 4}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.681756 rounded to 2 dps?\nAnswer: 11.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 70. Suppose h + h - f = 0. Let r(o) = 13*o**3 + 7*o**2. Let c(y) = 4*y**3 + 2*y**2. Calculate h*c(n) - 2*r(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d**2 + 4*d)*(0*d - 2*d + 0*d)*(1 + 0 + 4).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.085 and 0.5.\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-4)\/(-10))*5. Let k be (-3)\/t - 52\/16. Let x(q) = -181*q + 1 - 3 + 177*q. Let r(g) = 5*g + 2. Calculate k*x(z) - 2*r(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -45, -98, -171, -264, -377?\n\"Answer: -10*o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = 2*z, 7*o = 8*z - 4*z + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 0.5 (b) -0.1171 (c) 19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29.99643 seconds?\nAnswer: 0.4999405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.1958 millilitres in litres?\nAnswer: 0.4851958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/3 + 19*x**3 + 109*x**2\/3 - 19*x - 110\/3 = 0.\nAnswer: -55, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3\/5 + 54*x**2\/5 - 204*x\/5 + 365. Factor z(h).\nAnswer: -3*(h - 34)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 571635 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*i - 35561 - 7790 = 7037 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/2)\/(-1)*(17 + -40 - -21). Which is the closest to 2\/3? (a) 8 (b) v (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 3. Suppose m - 10 = 2*r, 5*r + 0*m = 2*m - 24. Let l be j(r). Calculate the greatest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3750, 18, -1.32, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6475461*v**4 - 4889055 wrt v.\nAnswer: 25901844*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-d**2 + d**3 + d**2) + d**3 - 3*d**2 + 3*d**2 + 73*d**2 - 73*d**2 - 38*d**3.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -111222 (base 3) in base 7?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*d + 2*d - 5*i, -2*d = 4*i - 22. Suppose 3 = d*b - 2*b. Let z = -139 + 141. Solve c - b*c = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -360.83?\nAnswer: 356.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7117292 by 7.\nAnswer: -1016756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -134. Suppose -5*p + 36 - g = 0. Suppose p*i + 4*d = 5*i - 105, -2*d - 140 = -4*i. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 + 2*v + 6. Let f be r(3). What is the units digit of 525\/9 + 2\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74628760 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24884? (a) 0.34 (b) 1\/2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 96. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 119*h - 70. Let n(i) = -7*i + 4. Let a(o) = -35*n(o) - 2*v(o). Let u be (-6)\/4*12\/(-3). Let z(d) = -d. Determine u*z(l) + a(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103\/159 - -1\/53. What is the closest to 1 in -5, -2, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -496*c**2 - 761*c**2 - 343*c + 349*c + 151 wrt c.\nAnswer: -2514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 34 = 182. Let a = 284 - 20. Calculate the highest common divisor of n and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202793?\nAnswer: 17, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/5*c**2 - 32\/5 - 4*c + 2\/5*c**3 = 0. Calculate c.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/5337103 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 788*v + 30904. Determine d(74).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 - 17*a + 1. Let m be u(2). Let x(b) be the first derivative of -3*b**4\/4 + 2*b**2 - 2. Let q(n) = -n. Determine m*x(k) - 2*q(k).\nAnswer: 3*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 18*o**2 - 44*o - 92. What is t(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, v: 1, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -97406?\nAnswer: 97405.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, 4\/11 in descending order.\nAnswer: 1, 4\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 6*w**2 + 3*w**4 - 6*w**2 - w**4 + w**4 - w**4 + 3*w**4 + 0*w**4 - w**4 + (-2*w + 2*w - 2*w**3)*(0*w + w - 3*w).\nAnswer: 8*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - i**5 + 3 - 1 + (-2 - i + 2)*(-4*i**4 + 3*i**4 + 4*i**4) + 2*i**2 - 70*i**3 + 134*i**3 - 66*i**3 - 6*i**5.\nAnswer: -8*i**5 - 2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(((-2)\/9)\/((-2)\/(-3))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126406906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/2 + 103*z\/2 + 506 = 0. Calculate z.\nAnswer: -92, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 129, -303, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 3. Let y(n) = -76*n + 531. Let t be y(7). Let w(l) = 7*l + 1. Let i(c) = t*z(c) - w(c). Let b(o) = 5*o. Calculate b(i(x)).\nAnswer: -45*x - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -411485524*w + 291854018?\nAnswer: -411485524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 5*m**3 + 4*m**2 = 0. What is m?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 - 3*q + 3. Let c(g) = 2*g**3 + 2*g - 3. What is -3*c(j) - 2*s(j)?\nAnswer: -4*j**3 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406300*i**4 - 2*i**3 - i**2 + 1120899*i wrt i.\nAnswer: -4875600*i**2 - 12*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 0.2, 2\/13, -3\/4, 0.08708, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:57 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 39. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 178878882476?\nAnswer: 178878882475.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 327, 683, 1063, 1467, 1895, 2347?\n\"Answer: 12*t**2 + 320*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*k - 41. Suppose 3*q = 0, -k*z + 7509 = -2*z - q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i + 6. Let n be w(6). Let l = -3 + n. List the prime factors of -4*l\/(-6) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - 15\/(120\/(-16)). Let r(i) be the second derivative of 0 - 2*i + 0*i**3 + 0*i**4 + k*i**2 + 1\/5*i**5. What is the derivative of r(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7*(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -1.9. Let k = 6.4 + -6.6. Sort r, k, -1\/2.\nAnswer: -1\/2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 4*g)*(g + 6*g - 2*g) + (0*g - 2*g - 3*g)*(37*g - 31*g - 19*g).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/(-177)*(-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33726?\nAnswer: 2, 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19657 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let j = -0.78 - -0.38. Sort d, -1\/4, j in descending order.\nAnswer: d, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -8.3. Let o = n - 0. Let y = 5 - o. What is the nearest to -0.1 in 4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 34*n**3 + 15*n**2 - 8*n - 48. Calculate g(-3).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173906?\nAnswer: 2, 89, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21293843, -21293852, -21293861, -21293870?\nAnswer: -21293879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 21 + 3. Let o = d + -22. Let s = o - -35. Solve 4*x = p - 5, 0*p = -p - 4*x + s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13ab (base 13) to base 6\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -111.2. Let t = 4.09 + -0.29. Let r = q + t. Is r at most as big as 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013 a factor of 285328313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(18 - (-9782808)\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 66 = -48*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367*n**2 + 2 - 713*n**2 + 382*n**2 + 3*n + 11*n wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 - 227.4. Let o = -8 + 9.6. Let l = 2 + -2.1. Which is the closest to l? (a) 2 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4 + (4 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30849175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 28. Let u be (-1 - (-75)\/9) + (-1)\/3. Suppose 8 - 1 = -p - 3*a, -3*p = 2*a - u. Calculate the smallest common multiple of q and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b**2 - 6. Let z(i) = -i**3 + 3*i**2 - 3*i + 1. Let m be z(2). Let c be ((-54)\/36)\/(2\/8 + m). Does 12 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.09999937 - -6.1. What is h rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a45 + -2?\nAnswer: -1a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574986 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**2\/2 + 3*t - 1. Let n be 5*(-3)\/6*4. Let o be 3\/(-2) + 15\/n. Give b(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60.4 - 61. Is 348 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 3, z: 1, a: 2}. Give prob of sequence pz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)\/(j*j**5*j) assuming j is positive.\nAnswer: j**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/279171?\nAnswer: -2\/279171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxmm when four letters picked without replacement from {x: 3, m: 5, b: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 166 - 205 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + k + 5, -k = -5*f + 2*k + 15. Suppose 2*n + 2*a = 4 + 2, 3*n - 4*a + 12 = f. Let g(j) = -16*j + 15*j - 3*j**3 + 3*j**3 + j**3. Determine g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c - 288 = -110*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 12:45 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 6*l**2 + l**2)*(3*l + 1 - 1)*(-31 + 31 - l).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11329)\/(-2)*(-33 - -35). Let u = -4815 + y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -12\/7*q**3 + 0 - 15\/7*q**2 - 6\/7*q - 3\/7*q**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1838653 days to milliseconds.\nAnswer: 15885961.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1882595, -3765183, -5647771, -7530359, -9412947, -11295535?\n\"Answer: -1882588*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4568 + 2)\/(((-264)\/16)\/11)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 - 7*z**4\/12 - 16*z**3\/3 + 1563*z**2. What is o(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641139?\nAnswer: 3, 213713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(5*3\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156693 = 7504*b + 218507 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 divided by 1?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8719095019.0157 + -8718694806. Let q = 400235 - p. Let u = -22 + q. Round u to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -35*w**3 - 2*w**2 + 2*w. Let g = -11086 - -11088. Let q(v) = 139*v**3 + 9*v**2 - 9*v. Calculate g*q(c) + 9*p(c).\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 525 and 29898.\nAnswer: 5232150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42196.71 months?\nAnswer: 351.63925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-171*j + 339 - 339)*(-5 - 3 - 2)*(-4*j**2 - j**2 + 3*j**2) as t*j**3 + q + o*j**2 + d*j and give t.\nAnswer: -3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25163750 and 3690.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.16204. Round y to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1.09, 3127, -0.2 in decreasing order.\nAnswer: 3127, 6, -0.2, -1.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 (base 4) in base 12?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2802, -2804, -2808, -2814?\n\"Answer: -q**2 + q - 2802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -442818358 minus 4.87?\nAnswer: -442818362.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 198 - 88 = -3*r, -t + 1 = 0. Let v = -30 - 0. Let a = v + r. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2424 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56787392.\nAnswer: 2, 179, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/81 in -0.56, -1\/34, 6, 4, -2, 0.4?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 3*p + 5. Let r(b) = -8*b**2 + 9*b - 14. Let v(u) = -11*j(u) - 4*r(u). Calculate v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (385\/28 + (-2)\/8)*-2. Let n be -1 - 8\/(-12) - 12\/w. Let s = 0.47 - 29.47. Sort 1\/10, n, -5, s.\nAnswer: s, -5, 1\/10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h - 4*h)*(905 - 1123 - 1273).\nAnswer: 13419*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 31. Let l = y - 14. Calculate the greatest common factor of l and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91275 and -0.178.\nAnswer: 91274.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 10\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by 4\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38155490 is divided by 147.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135115, 155180, 188629, 235468, 295703?\nAnswer: 369340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 6. Let v(w) = w**2 + 16*w + 61. What is the smallest common multiple of m and v(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 19*d**2 - 71*d - 67. List the prime factors of i(12).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3820 = -5*l, 3*l - 711 = 4*p + 1573. Suppose 4*o = -4*b + l, 5*o + 6 = -3*b + 974. What is the least common multiple of 24 and o?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139310782 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7142*s**3 - 5*s - 2*s**2 - 1 - 3 - 4*s**2 - 7140*s**3. Let o(z) = -2*z**3 + 7*z**2 + 6*z + 3. Give 6*j(p) + 5*o(p).\nAnswer: 2*p**3 - p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 = -o, 4*b + 5*o - 25 = 0. Let l = -12 - -38. Let k be l\/(-6) + 6\/(-9). Sort k, b, 2 in decreasing order.\nAnswer: 2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4359*w*z**2 + 4442*w - 30*z**3 + 1 wrt z?\nAnswer: 8718*w*z - 90*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = 6*a. Let z be 2\/(4\/(-90)*a). Let i = z + -10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -50. Factor 2*a**4 + 11 + a + 7*a - 3 - 6*a**2 - q*a**3.\nAnswer: 2*(a - 2)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/11, -127, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5067 - 5055. Calculate the remainder when 2290 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:46 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70527.23 litres to millilitres.\nAnswer: 70527230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + t**2 + t. Calculate the remainder when l(-2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/4690 and -107\/2230.\nAnswer: 1045870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/3 + 97. Sort -4, -5, q, -1\/8 in decreasing order.\nAnswer: q, -1\/8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 12. Determine m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 6\/7, -9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.9 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13126*i**3 + 20*i**2 + 10*i. Let j(d) = -4378*d**3 + 6*d**2 + 3*d. What is 20*j(k) - 6*z(k)?\nAnswer: -8804*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4 - 4 + 0 + 80*x - 81*x. Let m(o) = -63*o**2 + 9*o + 9. Let n(u) = -16*u**2 + 2*u + 2. Let h(t) = 2*m(t) - 9*n(t). Determine h(b(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*g - 24, -6*g + g + 4 = 2*c. Does 22 divide ((-7)\/c)\/((-2468)\/1232 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99645 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5e (base 16) to base 3\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/120 - t**5\/15 + t**4\/6 + 2*t**3\/3 + 5*t**2. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3814257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 93 = -3*v, 2*v = 4*z + z + 62. Let d = 20 + -22. Calculate the lowest common multiple of 12 and (-4)\/(-8) - v\/d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249450 divided by 5?\nAnswer: 1449890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 2*i + 13. Let a be z(0). Suppose 3*f + 3*d = 60, 3*d - 4 = 2*d. Suppose -y - a = -f. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 786 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g - 32*g - 119*g - 111*g.\nAnswer: -214*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/10*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2415*p**2 + 41655?\nAnswer: 4830*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*q - 5*k, 35 = -q - 4*q + 3*k. Let d be (-6 - q) + (-12)\/(-9). What is the closest to 0 in d, -1, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1022, 1004, 962, 884, 758, 572, 314?\n\"Answer: -2*l**3 - 4*l + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q - 128*q + 143*q + 0*q**2 + 2*q**2 + 230*q.\nAnswer: 2*q**2 + 300*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -9567.\nAnswer: -152\/9567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.0355395 minutes to weeks.\nAnswer: 0.002384478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/3 - 31247*x\/3 = 0.\nAnswer: -31247, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, n: 2, s: 7, p: 3, k: 3}. Give prob of picking 3 s and 1 g.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 2 = -y, 0 = 4*y + v + 9. Let z be (y + 3)\/((-2)\/4). What is the units digit of 6 + (z - -2) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226.53 + -225. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -2*n. Let x(s) = -s - 1 - 7*s - 2*s - n*s. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuk when three letters picked without replacement from {u: 1, k: 2, q: 4, w: 6, f: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7576 (base 8) to base 5.\nAnswer: 111331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.21 and 4509.8309.\nAnswer: 4510.0409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 23*h - 5. Let i(o) = -126*o + 27. Let v(u) = 27*d(u) + 5*i(u). Let g(q) = q - 1. Let c be g(-3). What is the remainder when 107 is divided by v(c)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114855224 and 1935.\nAnswer: -114853289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 48. Suppose -4*s = d - 11, 3*s + 0*d = -2*d + x. What is the smallest common multiple of (-168)\/(-20) - (-9)\/(225\/(-10)) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + 2611 + 4*q**4 - 2614 - 3*q**4 - q + 3*q**4 - 4*q**4 + 3*q**4 + (q**2 - 2*q**2 - q**2)*(-2 + 2 + 2*q**2) - 5*q**4 + 5*q**4 - q**4.\nAnswer: -2*q**4 + 3*q**3 - q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*5*2)**2*-4.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2 - sqrt(132))*4 + sqrt(132)*-1*-6)\/(6*sqrt(144)\/(sqrt(12)*1)) + -3.\nAnswer: -3 + 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3 - 15*10\/(-48)). Put -2, 1, r, -5 in ascending order.\nAnswer: r, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2079\/(-29106))\/(2\/2716)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 25*k + 145. What is the remainder when s(-8) is divided by 2\/((8\/30)\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyqqyyyyq. Give prob of sequence qqyq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/18 + 34\/12. Suppose 0 = 4*z + z - 2*i - 75, -75 = -5*z - 3*i. Solve z = 2*o + k*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 13. Let k(y) = -y**2 + y. Let m be k(0). Suppose m = -h + 2*h + 6. Let a be d(h). Put -1, -3, a in ascending order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923756 is divided by 4164.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3511149*f - 3510813*f = -16128 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216\/11*h + 5832\/11 + 2\/11*h**2.\nAnswer: 2*(h + 54)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-24)\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26573 + 26572.6. Let d = 0.3 + -1.3. Sort d, 2, t.\nAnswer: d, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 25*d**2 - 100*d + 7. What is f(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 3*w**2 - 121*w - 152. Let z be g(-12). Let b(r) be the second derivative of 0*r**2 + 7\/54*r**z + 1\/9*r**3 - 18*r + 0. Factor b(u).\nAnswer: 2*u*(7*u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12883722446862 + 3.\nAnswer: 12883722446865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 z when three letters picked without replacement from fzcne?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddx when four letters picked without replacement from dffrzfrfxxddxrzzxzf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5073418 by -724774.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 4 + (-165)\/2*(-64)\/80.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1579640 and -41\/1054?\nAnswer: 48968840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 2475557?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 865 + -134. Calculate the highest common factor of l and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 22. Let j(o) = -2*o**3 + 17*o**2 - 28*o - 3. Let a be j(6). Determine y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7663 - 7663 + 364916*r + 158891*r.\nAnswer: 523807*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 10*n**2 - 10*n + 13. Let t be c(9). Let b be t\/(-10)*12740\/(-32). Let w = -160 + b. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) -5 (c) 10323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1, -2\/39405, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 35*o - 14 + 39 - 9 to the form j + g*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16)*-90*4\/(-9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5b05 (base 12) to base 3\nAnswer: -112000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4536, -25, -3, 5, 2 in ascending order.\nAnswer: -4536, -25, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -7083?\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -754 + 754 - 4*r. Let u(d) = -d + d + 3*d**2. Give a(u(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897600 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnp when four letters picked without replacement from dnddpdnddnnnnnddddd?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/726291 and 64\/4653?\nAnswer: 7989201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**19*l*l**(-10) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + w**4 - w**4)*(-87 + 87 + 26*w) - 2*w**3 - w**5 + 2*w**3.\nAnswer: 25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 + 1 - 1) + 2. Let y = -121\/5 + k. Let m = -0.8 + -0.2. Which is the biggest value? (a) y (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 9 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*u + 12 = 5*u, -5*u + 12 = 3*p. Solve -3*q + 4*v = 1 - 13, 4*v - p = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*p**2 - 45*c**2*t*w**3 - 2*c**2*t*w + 3*c*p**2*t*w - 2*c*p*w**3 - 2*c*t*w + 39*c*w + p**2*t*w**2 - p*w wrt c.\nAnswer: -4*p**2 - 90*t*w**3 - 4*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/((-1)\/6). Suppose -13 = 5*v + 4*t, 4*v + 2*t = 1 - 15. Let f = 12 + -16. Sort h, v, f in increasing order.\nAnswer: v, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25104 rounded to two decimal places?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + v + 562, -5*v + 896 = -5*l + 6. Sort 1, l, -2, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7 = 5*d. Let j = 3 + d. Let i = 24 - j. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89943506 rounded to the nearest one million?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -374610*s**3 - 6930*s**2 - 2.\nAnswer: -2247660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188 + 471 + 417 = 32*y - 164 for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let h(q) be the third derivative of -7*q**5\/60 - q**4\/8 - 223*q**2. Determine g(h(l)).\nAnswer: 49*l**4 + 42*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131168815?\nAnswer: 5, 7, 643, 50263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/147 and -79\/1134?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73526258 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(36) - 2*sqrt(5184)))\/sqrt(12).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3559\/6 + 595. Let y = -3\/2 + i. Suppose -3*u + 2*u = -3. Which is the second smallest value? (a) -0.2 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 plus -120143?\nAnswer: -120143.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1290\/167, 0, 0.6, 4 in ascending order.\nAnswer: -1290\/167, -2, 0, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -9, -4, 279.\nAnswer: -9, -4, 30, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-2 + 6)) + 0. Suppose -g - 3*s = -284, 0 = -3*g - k*g - 2*s + 852. Suppose 3*x = -86 + g. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/14 and 19\/6398.\nAnswer: 6398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 469*m**3\/3 - 631*m + 141. What is the derivative of f(k) wrt k?\nAnswer: 938*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 4. What is o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 2\/7 (c) -31 (d) 2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -83901817 divided by 17\nAnswer: -4935401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-1\/3)))\/c*c**(-2\/3)*c)\/(c**(3\/4)\/c**(-6))*(c*c\/(c**(1\/2)*c))**(-37)\/(c\/(c\/(c\/(c\/c**(-1\/3))))*c\/(c*c\/c**(1\/2))) assuming c is positive.\nAnswer: c**(-305\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188334378 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-4)\/(-18))*3. Let t = 0 - -0.2. What is the closest to 0 in -1, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81376*h + 40772*h - 1 + 40763*h as z + w*h and give w.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 3734760.\nAnswer: 41082360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -0.517.\nAnswer: 5.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*p - 864, 2*p + 33*k + 462 = 28*k. What is the units digit of 308\/(2\/17 - p\/578)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 9442*i\/9 - 9440\/9.\nAnswer: -2*(i - 4720)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + ((-27)\/6)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*(-15)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 27*h**4\/8 + h**3\/3 + 2081*h**2 + 2. Let j(v) = -6*v**2. Calculate j(b(k)).\nAnswer: -39366*k**2 - 1944*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 3, a: 8, n: 2, w: 2, x: 2}. What is prob of picking 1 f and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (77*78\/(-182))\/((-3)\/((-3)\/1))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141 and -689786?\nAnswer: 97259826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1059308*f - 1059325*f + 2118659*f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, 12, 91, -12 in decreasing order.\nAnswer: 91, 12, -5, -12, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + 0 + sqrt(300))) + 4)**2 + -2.\nAnswer: -80*sqrt(3) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*k - 203994 = 418*k + 3051*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37302 is divided by 112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 566, 5, 1, -1 in increasing order.\nAnswer: -4, -1, 1, 5, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - 2*j**2 + 2*j - 1. Let m be l(3). Let v = m - 116. Let f = v + 87. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1411210 (base 5) to base 6\nAnswer: -341534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + 6. Let q = 520 - 519.9372. Let r = 2.0628 - q. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103537*v**3 - v**2 + 2603*v + 1?\nAnswer: 621222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:02 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 260, 2\/13?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(480\/144)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 191 = 4*s - 7*s, -4*m = -s - 53. Let k = -29 - s. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)*g**(-3\/8))**8*((g*((g*g**(-5)\/g*g)\/g)\/g*g)\/g**(-1\/3))\/(g*g**(1\/4))**(3\/23) assuming g is positive.\nAnswer: g**(-4093\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2*(-4)\/(-40))\/(8\/205) and 9\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 25. Let n(l) = -874*l + 1781. Let k be n(2). Is h less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g = 3803 - 1900 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*g + 2*g. Let u = 0 + -6. Is 2\/g + (-476)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9191, -18327, -27347, -36251, -45039, -53711?\nAnswer: -62267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z = -70*z - 224. Which is bigger: -59 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*v**3 - 451*v**3 + 237*v**3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 13. Let a(g) = g + 2. Let x(z) = 39*a(z) - 6*h(z). Let k(y) = -2*y. Give x(k(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1685 - -14877.5007983.\nAnswer: 16562.5007983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 15 = -x, 2*a + 24 = -2*a - 4*x. Let o be (-10)\/(-16) - (-1)\/(-1). Let u = 229 - 911\/4. What is the third biggest value in o, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*a - 1, -a - j + 17 = 2*a. Let k be a - (-7)\/(21\/(-9)). Let c(r) = -k*r**2 - 5*r**2 + 16*r**2 - 6*r**2. Let g(y) = -2*y. Determine c(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k - 57*k - 293*k**2 - 58*k.\nAnswer: -293*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -408 - -402.2. Let r = l + -0.2. Let z = -0.15 + 0.15. Which is the nearest to r? (a) -3 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/589 (b) 5 (c) -1 (d) 4 (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 371, 787, 1195, 1595?\n\"Answer: -4*h**2 + 428*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133)*-4*-3)\/(sqrt(35)\/sqrt(5)*3 - (sqrt(175) + sqrt(175)*1)).\nAnswer: 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -219, -440, -663, -882, -1091?\n\"Answer: o**3 - 7*o**2 - 207*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2672800 and 47\/1248.\nAnswer: 8018400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.31 + 0.01. Let f = o + 3.3. Let p = -0.4 - -0.2. What is the biggest value in f, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 449385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 117, -0.3, 0.029.\nAnswer: -0.3, 0.029, 0.3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-27) + 509795\/207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 4\/(-1) + 0. Let b(o) = -o**3 - 8*o**2 + 2. Let f be b(x). Let j(t) = 25*t**2 - 4*t - 2. Does 36 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 + -55. What is the third derivative of 97*u**2 - j*u**3 + 38*u**3 + 221 - 222 wrt u?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 29 + 128*w + 19 - 127*w.\nAnswer: w - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -1 in descending order.\nAnswer: 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c - 2. Let s(w) = 503*w**2 - 10*w + 8. Let i(k) = -2*g(k) - s(k). What is the second derivative of i(t) wrt t?\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3678, -7378, -11108, -14874, -18682, -22538, -26448?\n\"Answer: -t**3 - 9*t**2 - 3666*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117.2 - -117. Which is bigger: h or -76?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 609 - -25?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 + 0*p**3)*(0*p + p + 0*p) - 3*p**4 + 4*p**2 - 4*p**2 - 2*p**4 - p**4 + 2*p**4 + (1 - 2*p - 1)*(-2 + p**3 + 2).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1429.209123 to the nearest ten.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 1. Let l(m) = m**2 + 4*m - 2. Let z(k) = 2*l(k) + 5*y(k). List the prime factors of z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 12*r**2 + 18*r - 43. Give w(10).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 10*t + 180. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24*s + 27. Let p be u(-3). Let x = -119 + p. What are the prime factors of (1524\/x - -3)*(-5)\/2?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 168 = 5*a, -a + 42 = f - 2*a. Let r(m) = -42 + m + f. Let w(h) = 2*h. Determine w(r(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*g**3 + 49*g + 650 + 175 - 51*g with respect to g.\nAnswer: 186*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 22 = 4*r + 41 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519 or 1035\/2?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2183364, -4366709, -6550054, -8733399, -10916744?\nAnswer: -13100089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 3*j - 411, -j + 83 = -s. Let k = s - -86. Suppose 4*y - 2*y - 8 = -2*q, k*y - 2*q - 27 = 0. Is y bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2063, 4398, 6719, 9020, 11295, 13538?\n\"Answer: -r**3 - r**2 + 2345*r - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 + 27*z**3 + 14*z**2 - 3*z. Differentiate h(p) with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 5:39 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2935 and 60707540.\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**4 + 2174559*l**3 + 7248618*l**2 + 2899476*l - 5798904 = 0. What is l?\nAnswer: -2, 2\/3, 241621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1603\/77 - 27).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 109, 266, 489?\n\"Answer: 33*b**2 - 8*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1004535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66\/307 - 1030\/921. Let b be (19\/21)\/1 - 1. What is the nearest to -1 in w, 0.4, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-15)\/(-5) + 22. Let g be v - (0 + -5 + 3). Suppose 5*i - 38 = -0*i - 4*a, -3*i + g = a. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 1732, 947 in descending order.\nAnswer: 1732, 947, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48677016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 627267 or 627266?\nAnswer: 627267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 10 = 5*c, 4*c = 4*y + 328 - 360 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2132*r**2 + 418?\nAnswer: -4264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40567500 divided by -4.\nAnswer: -10141875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2. Let c(d) = -2*d**2 + 6*d**2 - d**2 - 7*d**2. What is a(c(w))?\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5 + 4*c + 10*c**2 + 0 - 3*c**2 - 1. Let n(x) = 8*x**2 + 5*x + 5. What is 6*n(u) - 7*y(u)?\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/16*4)\/9?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49604253 to the power of 1\/2, to the nearest integer?\nAnswer: 7043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - r - 9, 64 = 3*o - r + 59 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 - 79. Let d = t - 59. Let g = d - 52. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 2*q - 3. Let d be a(3). Let w be (d + -5)\/((-24)\/136). Let k = w + -29. What is the third biggest value in 2, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/14 - 241\/238. Let v = w - 55\/68. Which is the nearest to 0? (a) 5\/6 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12*(-75)\/12)\/(8895\/21348)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*c - 8, -5*c + 2365973 = 2365953 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 5*w + 87. Let c(z) = -2*z**3 - 65*z**2 + 37*z + 147. Let d be c(-33). Calculate the highest common divisor of w and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -2104?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeapal. What is prob of picking 1 l, 1 d, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 25*m - 63*m + 3 - 18*m + 0*m.\nAnswer: -112*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 divided by 4023?\nAnswer: 2641\/4023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 16. Which is the third smallest value? (a) 2\/39 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13182*w**2 + 2769*w**2 - 2986*w**2.\nAnswer: -13399*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - ((-3)\/1)\/1. Let o be (-4)\/3*3\/(-1). List the prime factors of o\/10 + (-16)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:51 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 4 = -3*g - r, -2*g - 5*r = -76. What is the smallest value in -3, g, -2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*l + 138 = 89*l + 87*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 18?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (804\/1407)\/((-68)\/14).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 33. Let l = 1914\/5 + -384. Which is the third biggest value? (a) -2\/3 (b) t (c) 0.5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:32 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/1312283 and -33\/1874690?\nAnswer: 13122830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181765435 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.97 - -0.03. Let m = -57.45 + 58. Let n = 1.25 - m. What is the smallest value in r, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 260*s + 139*s + 2*s**2 - 51*s + 1132 + 30*s + 192*s = 0. What is s?\nAnswer: -283, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let k(x) = -1601*x**2. What is k(q(m))?\nAnswer: -6404*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*72\/288?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 - -160. Is 0.2 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/17, -332, 12.89 in descending order.\nAnswer: 12.89, -3\/17, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86699610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/84 - 1\/3)*-7. Let u be j*(2 + 65\/(-35)). What is the closest to 1 in 1, -0.1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = i + 4*z, -4*i + 2*z = -14 + 2. Suppose y + 0 = i. Suppose 18 = d + y*d. Sort -3, d, 2, 1 in ascending order.\nAnswer: -3, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -14.82. Let s = -23 - -27. Let v be 3 + 21\/(-14) + -3. What is the third biggest value in s, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-42)\/(-8). Suppose -4*y + 7*y - 120 = 0. Solve k - 5*o - 5 = 5*k, -3*o = -a*k + y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - t**3 - 3*t**2)*(t + 2 - 2) + 2*t**4 - 4 + 4 - 117*t**3 + 228*t**3 + 315*t**4 - 113*t**3.\nAnswer: 316*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -q + 2*p, 0 = q - 5*p - 2510 + 2599 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.2. Let s be (-5)\/15 + 2\/(-6). What is the nearest to 0.1 in z, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138609.879 - 138814. Let l = 146 - -58. Let g = j + l. What is g rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 99 = 32*f - 66*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*a*i**2 + a*i + 198*a wrt i.\nAnswer: -44*a*i + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4 + 0*l**2 - 20*l + 19*l - l**2. Let g be (-2)\/7 - (-10)\/35. Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 34 + 234 = 0. What is the hundreds digit of p\/(-125) - (-2433)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:58 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/185 and 109\/10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (2 - -2)) + -17 + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -42*u + 12*u**2 - 17*u**2 - 28 + 3*u**2. Let o(i) = i**2 + 14*i + 9. Let k(m) = 5*d(m) + 16*o(m). Factor k(c).\nAnswer: 2*(c + 2)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114301772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/3))**(14\/5)\/(b**(-2)\/b**(-2)) assuming b is positive.\nAnswer: b**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 819 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z + 2*z. Let h(y) = 3 + z*y - y**2 - 2 - 2. Let g be 1\/3 - (-121)\/33. Give h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25. Let x = f - -1. Suppose -3*g - 2*g + 2 = n, x*g = 5*n - 70. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 + w + 1. Let u be i(-1). Let v = 722 - 698. What is the greatest common divisor of v and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 + -181. Suppose 0*u = 3*u + 3. Is u <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25761 - -25761. Let m = 0.25 - 0.35. Which is the third biggest value? (a) m (b) x (c) 16 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/3)*g)\/g)\/(g**7*g*g))**(2\/13)\/((g**(-3))**7)**(1\/3) assuming g is positive.\nAnswer: g**(223\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 + 147 - 281)*(p + 5*p - 3*p).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 1073108.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*q + 15, 0 = -8*q + 174032*z - 174028*z - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 d, and 1 f when four letters picked without replacement from kfrrrrrivvidfkrvvkvf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2945 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-2) - (-2 + -3594). Suppose -12*p - 495 = -s. Does 69 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-3*y - 1976*y**2 + 9*y**4 + 1976*y**2).\nAnswer: 18*y**4 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + 10 - (-322)\/(-12) and ((-543)\/(-270))\/(76\/114)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 50*a - 10. Let r(g) = -3. Give 3*r(h) - y(h).\nAnswer: -50*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:26 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1)*(2 + 2 - 3)*(4*p - 25 + 25).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5*13\/((-845)\/(-39))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*8\/(-168)*(-27)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 0 (c) 0.113 (d) 2\/3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1620*a**4 + 495*a**3 + 865*a**2 + 240*a + 20 = 0.\nAnswer: -1\/4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 27*w**2 + 262*w + 2575. What is z(-33)?\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1078 + -2213\/2. Let z = 316169 - 6007202\/19. Calculate the common denominator of q and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-1)\/p*p)\/p)*p)\/(p\/(p\/(p*p**(3\/4)))))\/(p**(-4)\/p**(-2)) assuming p is positive.\nAnswer: p**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.958 rounded to one dp?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*i**2 - 18*b**3 + 2*b**2*i**3 - 39*b**2*i**2 - 14*b**2 + 2*b*i wrt i?\nAnswer: -4*b**3 + 12*b**2*i - 78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 1. Let v(c) = -c + 1. Let m(q) = -b(q) - v(q). Let h(k) = -2*k. Determine h(p) - 6*m(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-40)*(-14)\/(-1) - (-170)\/25. Let h = 42 - 460\/11. Which is the second smallest value? (a) h (b) p (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/391 (b) -23 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j + 210. What is w(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Let f = 137 + -98. Let p be -4*(f\/(-28))\/13. Which is the third biggest value? (a) 1 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 - -291. Suppose f = -182 + g. Let b = -2 - -4. What is the remainder when f is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 461.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 71. Suppose 5*c = -0*l + l - 55, 0 = -5*c - 2*l - 55. What is the smallest common multiple of 3 and k(c)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11321121 - -10002?\nAnswer: -11311113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44388*o - 44403*o - 165 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 - 14*v - 138. What is o(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 98 + e68b?\nAnswer: e723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 2. Let a be 1581\/5 - (-3)\/l. Suppose a = -6*r + 10*r. What are the prime factors of r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 22851 = -2*u, 2*u - 3*f - 11408 = 11403. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b - 5. Let y(r) be the second derivative of -r**3\/3 + 17*r. Determine g(y(i)).\nAnswer: 10*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(90) + (sqrt(90) - -3*sqrt(90)) + sqrt(90)) + sqrt(90))\/sqrt(10))\/(sqrt(288)\/(-3*sqrt(6)) - sqrt(48)).\nAnswer: -93*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 39*u**2 - 24*u - 7. Let h(c) = 11*c**2 - 7*c - 2. Let n(a) = -7*h(a) + 2*v(a). Determine n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-288))\/((-3)\/((-18)\/16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52776 and 10995.\nAnswer: 263880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 3 = 3*p, -21 = -3*p - 3*b. Let c(l) = l - p*l + 4*l. Let j(i) = 5*i**2. Determine c(j(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*u - 253*u - 14*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 23*t**3 + 7 - 24*t**3 - 8*t - 10*t**2 - 2. Give y(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 - 4 - 5*v - 2. Let j be 6 + (-1)\/((-3)\/(-6)). Let z(q) = 6*q + 3. Let u(i) = -1. Let b(l) = j*u(l) - z(l). Determine 4*b(m) - 5*t(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 6. Let a(n) = -11*n + 1. Let q(d) = -23*d - 1. Let z(i) = -2*a(i) + q(i). What is -4*c(x) + 9*z(x)?\nAnswer: -5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - 0 - (19 + (23 - -8) + 13)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 9*x**2 + 6*x - 13. Suppose 2*r - 46*l + 48*l - 4 = 0, 0 = 2*r - l - 10. What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 13 - 3 - -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 8. What is the least common multiple of x and (-5 - -8)*25\/(-15) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1388 and 1896355?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/4)\/y*y)\/((y*y**(1\/47))\/y) assuming y is positive.\nAnswer: y**(-521\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43750297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620431 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*w = -0*w + 21, 0 = 2*h + 2*w - 12. Suppose 959 - 299 = 4*a. Suppose -3*i - 2*u + 55 = -2*i, h*i - a = 2*u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.3\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*n + 31, -117*n + 112*n + 20 = -b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3804.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhii when four letters picked without replacement from {h: 2, i: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 39*d**3 + 2*d**2 - 7*d - 4. Let h be c(-4). Round h to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 7*a**4 + a**4 - 2*a**4 + 2*a**4 + (-6*a**3 + 4*a**3 + a**3)*(a + a - 3*a) - 3 + a**4 + 3.\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1348 + -27.8652. Which is the third biggest value? (a) -2\/7 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfqfqqqfwfwfwffwnq. Give prob of picking 4 w.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 30. Suppose -3*s = -3 - l. Calculate the remainder when (-76)\/(-18) + (-2)\/9 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -7*n + 10*n - 21, 0 = -n + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u. Suppose 3*m - 6*p = -p + 28, 2*p = -m - 9. Let r(x) = 3*x**3 - 2*x**2 + 2*x - 2. Give m*r(q) - 2*l(q).\nAnswer: 3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -9. Suppose -r*i + 492 = 18. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - x = 72 + 10, 3*u - 2*x - 244 = 0. Suppose -4*q + 115 + 205 = 0. Are q and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 27 + 19*i + 0*i - 21*i + 37.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g + 33813 - 5323 = -61*g. What is the highest common factor of 88 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -c - 12, 4*c + 3*n - n - 2 = 0. Let k be 6\/(-4)*(-4)\/c. Solve k*a = -2*d + 6, 2*a + 2*a - 12 = -3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 3*g. Suppose g = 3*o - 37. Suppose -w + 5 = o. Let h(a) = -a**3 - 7*a**2 + 6*a - 7. Give h(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135900 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 69722217600 to the nearest one million.\nAnswer: 69722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(2\/17)*(x*(x*x*x**(-4\/7)\/x)\/x)\/x)\/(x**(2\/5)\/x**2) assuming x is positive.\nAnswer: x**(1872\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -34087.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314 + 308. Let r be (1 + (-9)\/((-27)\/i))*1. Is r greater than or equal to 7\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202021223210200 - -3?\nAnswer: 202021223210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 - 206. Suppose 2*k = 243 + x. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8811998 and 20956?\nAnswer: 17623996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95382 is divided by 47582.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821189650?\nAnswer: 2, 3, 5, 18807931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 49 = -x + 99, 7*n - 3*x = -50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 46. Solve -10 = 3*d + 5*i, -5*d = -3*i - 2*i - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450647707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 11 - 99. Let s be y\/(-18) + (-16)\/(-72). What are the prime factors of 25 + 0 - (2 + s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lheeuelelehejueejhe. Give prob of sequence jll.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76588 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138657 rounded to the nearest 100?\nAnswer: 138700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9320258 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 + 32*i**3 - 44*i**2 - 80*i = 0.\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*c - 32 = 0, 761*q - 766*q = -c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {x: 7, y: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 4996.\nAnswer: 70\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 710 + 579*s**4 + 519 + 1037*s**4 - 34*s**4 wrt s?\nAnswer: 6328*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddddeedddededeeeed. What is prob of sequence eded?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 319 - 941. Let l = 5790 + -138911\/24. Find the common denominator of l and 9\/21 + (-5465)\/f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476 - 148 = -116*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1154, 1145, 1144, 1157, 1190, 1249?\n\"Answer: d**3 - 2*d**2 - 10*d + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/(7\/(49\/94)). Let v = -3\/94 + z. Let u = 8 - v. Is u greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -1, 0.5, 5, -0.34 in decreasing order.\nAnswer: 5, 0.5, -0.05, -0.34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - c = -5, 2*q - 13*c + 224 = 159 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/9 - 68*i**4\/3 + 2336*i**3\/9 - 644*i**2\/3 - 2338*i\/9 + 712\/3 = 0. What is i?\nAnswer: -1, 1, 12, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 268\/15 + 388\/2910. What is the greatest common divisor of j and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/5 (b) 2 (c) 1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 50. Sort 5, b, 1\/4, 0.5 in increasing order.\nAnswer: 1\/4, 0.5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 413031?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(-2\/15))\/o)**(-3\/8) assuming o is positive.\nAnswer: o**(-13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (16 - (4 + -3)). Let c = -3 - 2. What is the units digit of s\/1 - 10\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804 plus 14204?\nAnswer: 11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179*d*l*p*v**3 + 1472*d*l*v - 2*l*p*v**3 - 5*l*v + p*v**2 + 2*p + 26*v**2 + 203 wrt d.\nAnswer: 179*l*p*v**3 + 1472*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4558, 2 in increasing order.\nAnswer: -4, 2, 4558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 - 28*v**3\/5 - 6*v**2 = 0 for v.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**4\/4 - n**3 - 2. What is the remainder when 35 is divided by l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*y - 292, -3*y + 7*f + 328 = 3*f. Let w = y + -16. Let o = -64 + w. Solve -5*r + 2*g = o, 5 = -r + g - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1684 - -1805. What is the greatest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 13. Let o = n + -9. Put o, 0.5, 0 in descending order.\nAnswer: 0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5047.964l to millilitres.\nAnswer: 5047964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71181295\/977 + -72857. What is the biggest value in -1\/2, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 3*t**2 - t - 15. Calculate w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14691, -29322, -43953, -58584, -73215, -87846?\n\"Answer: -14631*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**7\/63 - 2*k**6\/5 + 7*k**5\/30 + k**4\/3 + 57*k. Suppose g(a) = 0. Calculate a.\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 168*d - 393. What is m(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 3*r - 2. Let b be o(2). Let x = b + -12. Solve -t - 2 = -x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.422 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 0*x**2 + 0*x**2 + (-5*x**3 + 4*x**3 + 0*x**3)*(-5*x + 5*x + 2*x**2) - 7*x**5 + 2*x**5 + 3*x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -330.5 + 524. Let u = 194 - s. What is the second biggest value in 0.09, u, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 14. Let g be (6\/9)\/((-2)\/j). Find c such that -2\/7*c**g + 0 - 2\/7*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -18. Suppose 45*a = -2*a + 160 + 75. Solve -a*u + 3*f - k = -f, 2*u - 5*f = -10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 9. Let c(w) = -58*w**2 - 22*w - 28. Let n(t) = 21*t**2 + 7*t + 9. Let l(d) = 4*c(d) + 11*n(d). What is l(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1109 to 3 decimal places.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1164966 and 2508.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -162*g**5 + 3527694*g**4 + 392070*g**3 - 2221190*g**2 + 827492*g - 87104 = 0.\nAnswer: -1, 2\/9, 1\/3, 21776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*r - 36*r - 16*r**2)*(-1 - 2 + 4) - r**2 + 2 - 2 + (-r + r + 2*r)*(-4 + 4 + r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (1 + 94\/4) and 1 + 222\/(-20) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 + 5 + -3 - -4) - 20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267816*d**2 - 138493*d wrt d.\nAnswer: -535632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-4)*1 - -74 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5663*g**4 - 25*g**3 + 41*g**2 + 9312*g wrt g.\nAnswer: 135912*g - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 + -147a?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 4\/3, 3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12*z*z**0*z*((z*(z\/(z\/(z**(-3)*z)))\/z*z)\/z)\/z*z*z**2 assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = x + 2 + 24, 2*o = 5*x + 4. Suppose -o = -g - 3*i, g - 3*i = -g + 14. Suppose 30 - 401 = -g*c. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(5)*3 - sqrt(35)\/(-2*sqrt(7)))**2*-6*6.\nAnswer: -27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 24 = -4*h, 0 = 5*h + 5*v - 0*v + 30. Let a = 8 + h. Solve -r - 19 = 5*f, -a*r - 1 = f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -17, 10, -35, 5 in increasing order.\nAnswer: -35, -17, 2, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 838065451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/3 + 100*z**2\/3 - 614*z\/3 + 172 = 0. What is z?\nAnswer: 1, 6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11150027, 22300112, 33450209, 44600324, 55750463, 66900632, 78050837?\n\"Answer: g**3 + 11150078*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:49 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 - g - 8. Suppose -5*q + 4*i = -11 + 39, 3*q - 5*i = -9. What is d(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -13*c - 439 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n - 0*v - 4*v, 6 = 3*n + 4*v. Let p(d) = -d**2 + d. Let c be p(n). Let z be c\/(-2) - (0 + -1). What is the nearest to 1 in -3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-36)*4*12. Let d(a) = a**2 - 5*a + 4. Let y be d(q). Solve 0*n + n + 3 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 2*i**4 - 76*i**3 + 60*i**3 - 35*i**2 + 34*i**2 in the form l*i**3 + z*i**4 + m*i**2 + p*i + x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28387377 and 45.\nAnswer: 141936885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvtvtrttrrttrrrrrgtt. What is prob of sequence rvg?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2126 = -4496. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymqqmbxxqbmymbm. Give prob of sequence yyq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 23*x**2 + 2. Let l be n(-23). Solve 0*f = f - l*z + 10, 25 = 5*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/3 + (3 - -1). What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -30*r**3 + 35*r**2 + 35*r. Let h(z) = z**3 - z**2 - z. What is 6*d(m) + 210*h(m)?\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4710.81057 to the nearest ten.\nAnswer: -4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1252 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, s: 4, p: 3}. Give prob of sequence rr.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 876 + -872. Find the third derivative of -36*y**2 - 28 + 37*y**2 + 173 - 68*y**o + 77*y**4 + 95*y**4 wrt y.\nAnswer: 2496*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) -0.4 (c) 0.13 (d) 4\/5 (e) -0.1 (f) 290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 620464903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71901695.732 - 71901206.624701865. Let d = -0.892902865 - y. Let v = 490 + d. What is v rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 12*f**2 + 12*f + 23. Suppose -2*w + 35 = -3*r - 0*r, 5*w - r - 68 = 0. Let p be u(w). What is the greatest common factor of 110 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 71. Solve f = -5*p - 10, -y*p - 20 = 4*f - 5*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174 and 0.2187.\nAnswer: 38.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -295*a + 12414. Let n be r(42). What is the highest common factor of 948 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 18 = 0, 4*i + 55*s - 39 = 52*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03293 and -1.314.\nAnswer: -0.04327002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 = -15. Suppose -j = -8 - c. Let a = -5 - -30. What is the remainder when a is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**5\/15 - z**4\/6 + z**2\/3 - z\/3 + 6. Factor d(m).\nAnswer: (m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/13)\/b)\/b)**(1\/28)*(b**(-6))**(8\/9))**(-29) assuming b is positive.\nAnswer: b**(171245\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 9*l**2 + 20*l - 12. Let g be n(5). Let p(i) = 14*i + 24. Let u(r) = -r - 2. Let b(o) = g*u(o) - p(o). Let d(t) = -2*t + 3. Calculate d(b(k)).\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 + y + 5. Let p be r(-5). Is 4 a factor of (936\/18)\/(2 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89021119*w**3 - 145315170*w wrt w.\nAnswer: 534126714*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(12\/(-378)). Suppose 4*a = a + r. Let p(d) = -3*d. What is the remainder when a is divided by p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 v when four letters picked without replacement from mvaavamvmaavgga.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11*x + 14*x = 23, 3*l - 3*x = 9. Suppose 0 = -3*d + 5*d - 16. Calculate the highest common divisor of l and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32119 in 0.3, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-22))\/(1\/(-2)). Let m = 17 - x. What is the smallest common multiple of m and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2*(-3)\/(-6)). What is the units digit of (31 - h) + (-6)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -390.021 - -390. What is r rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:54 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-3 - -2) - 1. Let k = -15 + v. Suppose k*g = 5*g - 33. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.4. Suppose -z + 1 = -2*j, 5*z + j - 17 = -j. Let t be (-34)\/10 - (z + -6). What is the smallest value in k, -1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbububbbbbubbb. What is prob of picking 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let p be k(2). Suppose -w + 4 = -7. Suppose p - w = -3*v. Solve 4*b = -v*o - 10, 0*o + 2*o + b + 5 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/18 - (-593)\/9. Let f be (-11)\/(r\/(-12)) + 0. Solve -2*l = 2*k - 12, 2*l + f*k = 3*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j - 1. Let x(f) = 2*f + 8. Let h be x(-7). Let n(a) = 3*a + 7. Let y be n(h). Let c(b) = 3*b**3 + 11*b - 3. What is y*t(z) + 4*c(z)?\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.778196l to millilitres.\nAnswer: 2778.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90152 - 204954 - b - 167641.\nAnswer: -b - 462747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-3))\/((-6)\/9). Suppose 0 = h - 2. Let y = 30 + h. Calculate the highest common divisor of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7938 and 65002?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Let z(o) = o**h - 2*o**2 + 0*o**2. Let m(v) be the first derivative of -2*v**3\/3 - 1. Calculate z(m(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 2*g**3\/3 - 8*g. Let s(w) = -w. Determine s(l) + v(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 4. Let i(d) = 1186*d - 14. Calculate i(z) - 4*l(z).\nAnswer: 1178*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1475 = -48*w + 397. Let t = -79\/2 + w. What is the biggest value in 0, -38, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.273 and -9484.\nAnswer: 2589.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 78 + 66 = 0. Is 26 a factor of (6\/(2 + h))\/(-2) - -341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*x = -32. Let h = x - -2. Calculate the common denominator of (-327)\/h + -3 + -2 and 5\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-708)\/1062)\/((-5)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4710 and -280973.0307.\nAnswer: -285683.0307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*c + 32. Suppose -58*i + c = -57*i. Calculate the remainder when 105 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/13 (b) -5 (c) -4 (d) -344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 4. Let b be (-161)\/(-56) - l\/(-8). Solve 5*d + 10 = 3*a, -b*a - 4 = -4*d - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11139, -11138, -11137, -11136?\nAnswer: -11135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000516439079 to 7 dps.\nAnswer: 0.0000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 + 6. Let d = -9 + 16. Let q(c) = -3*c**2 + 5 + 10343*c - 20681*c + 10338*c. Give d*q(i) - 6*s(i).\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c + 7*c - 1 + 21. Put 2, 3, 4, c, 13 in descending order.\nAnswer: 13, 4, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 + 11*b**5 + b**2 + b**2 + 2*b**5 wrt b?\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17790, -52501, -110352, -191343, -295474?\nAnswer: -422745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hhvuuurvuwuvvuv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 12. Suppose z*j + 4*u = 12, 0*j + 4*j - u = -3. Let h = j - -8. Solve -2*d = -g + 6, -d - 4*g - 4 - h = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81072222\/37 or 2191140?\nAnswer: 81072222\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2 and -73\/1720?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 40 - 49 + 204 + 44.\nAnswer: 2*n + 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/423*(-10)\/200?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + 11*w**2 + 11. Let h = 2 - -9. Let j(m) = -m**3 - 4*m**2 - 4. Give h*j(t) + 4*f(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19750*d**3*z**2 + 4*d**3 + 135*d**2*z**4 - 48973145*d**2 wrt z?\nAnswer: 39500*d**3*z + 540*d**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13785 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 + 295*p**3 + 3725*p**2 + 6585*p + 3150 = 0.\nAnswer: -42, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 + 233. Find the third derivative of 81*q**3 + 9*q**2 - j*q**2 - 36*q**3 wrt q.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(80\/345)\/8.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 + 12 + 335*c - 335*c + 4 wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/441 and 41\/2.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 20*h + 4*h)*((0*h**2 + 0*h**2 - 2*h**2)*(3*h + h**2 - 3*h) + (-4*h**3 + 2*h**3 + h**3)*(0*h - 3*h + 4*h) + h**4 - h**4 + 2*h**4).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13431*5.3.\nAnswer: 0.711843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4054594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -2979, -10226, -24331, -47580, -82259?\nAnswer: -130654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104355192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.81 + 0.19. Let j = -38 + s. Let o = -28.0000013 - j. Round o to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1191.8? (a) 0.03 (b) 0.4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6108*s + 6107*s + 106 - 5*s**3 + 10 - 2.\nAnswer: -5*s**3 - s + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 11*s**2 + 14*s - 19. Let r be x(-9). What is the greatest common divisor of r and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -172 in -0.1, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.6 - 44.6. Let a = 0 + 0.1. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/22 (b) -1824\/17 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(154)*-2)\/sqrt(11))\/(5*sqrt(28)\/sqrt(4)) - (((sqrt(120) - sqrt(120)*-2) + sqrt(120) - sqrt(120))\/sqrt(6))\/((sqrt(50)*-1)\/sqrt(5))).\nAnswer: -4 + 13*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/33 (b) 0.156 (c) 2\/7 (d) -75 (e) 0 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = 4*o - 5*j, -5*o = -4*j + 30 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 55*c + 5. Let i(k) = -54*k - 4. Calculate -7*i(m) - 6*u(m).\nAnswer: 48*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 35 = 16*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:09 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojooojojfnooojn. Give prob of sequence fjo.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-11)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5734 - 110?\nAnswer: 5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3143 in 0.5, -3, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 3 = 3*x, 0 = -x - 3*r - 5. Suppose 6*h - 5*h = -1, x*c - 9 = h. What is j in 3*j**5 + 37*j - 4*j**5 + 0*j**5 + c*j**3 - 38*j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*y - 26, 0 = 3*m + y - 88 + 158 - 66 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/24 - i**2. Let g(y) = 6*y**2 - 5*y**2 - 2*y**2. Give g(q(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 71*m**2 + 46*m + 63. What is h(-36)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 550 - 87*c**2 - 1104 + c - 282*c**2 + 552 in the form o*c**2 + f + v*c**3 + d*c and give o.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55340*k**2 - 256179*k wrt k?\nAnswer: 110680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y. Let m(n) = -2*n. Let x(o) = -9*m(o) - v(o). Let d(i) = 17*i. What is -3*d(p) + 5*x(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*w - 246*w - 4*b + 15 = 0, 0 = 3*w - 3*b - 65 + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -886373 - 402547. What is q rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {l: 1, v: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 18*b**2 + 17*b + 2. Let v be -11 - 7\/(14\/(-6)). Let r(n) = -n**2 - 8*n - 17. Let a be r(v). Let j be p(a). Solve 0 = -j*y - 0*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*z**3 - 114*z**3 - 131*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + 12212311?\nAnswer: 12213231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*p = 4*v - 126*p + 5, -p = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3 - 1. Suppose -5 = -43*w + 38*w. Let q be (w - (-2 + 2))*(-3)\/3. Let c(a) = -7*a - 3. Let j(v) = v + 1. What is q*c(t) + u*j(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4161 and 433401.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j - 10. Let w be a(-2). Suppose 2 = 4*t + 10. Is 448 - (4\/w - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 - (10 + (40 - 38)) - (1 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 40 = -32*o. Suppose i - o*n = 11, -21*i + 20*i = -n - 7. Which is smaller: 27\/11 or i?\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*t - 32 = 0, 3*t - 22 = l - 4. Sort 3, l, 24 in descending order.\nAnswer: 24, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllvsvsgllulv. Give prob of sequence zg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 3885.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*v - 257. Suppose -39 = 2*l - v. Suppose 3*x - 2*g = 29, -x = 2*g - l - 22. Calculate the remainder when 17 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20 = 3*m. Let l be ((-84)\/(-16))\/(-7)*m. Let r = l - -1. Solve 2*g = 4*o - 10, r*g = 2*o - 0 + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:03 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - a. Let o = -4 - 0. Let i(x) = 6*x**3 + 6*x**2 - 4*x. Let w(h) = o*s(h) + i(h). Factor w(r).\nAnswer: 2*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154560\/(-2415)*1\/2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -0.8 in decreasing order.\nAnswer: -0.1, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44254 or 44260?\nAnswer: 44260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 8*k**2 + 16*k - 14. Calculate t(-9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 147 and 42790 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 8*l**4 - 7*l**4)*(-28*l + 6*l - 6*l).\nAnswer: 308*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37711?\nAnswer: 43, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109\/221 - 101539\/1547. Which is greater: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*c = -787*c - 16104 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 88*w**2 - 888416372 + 888416372. Let t(j) be the second derivative of j**3\/3 - 2*j. Determine h(t(o)).\nAnswer: 352*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-217)\/(-62)*(-6 + 32\/6)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/50)\/((273\/(-11466))\/((-1)\/((-6)\/8)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2*b + 0*b + 0*b) - 5 + 5 - b + 6*b - 2*b - 3*b - b + 2 - 2 + (0*b + 0*b + b)*(-17 - 5 + 3) - 4*b + 0*b + b + 399 - 399 + 6*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/76)\/((-114)\/1083)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0225 times -2.5737\nAnswer: -0.05790825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*a = 68, -5*a + 16 + 7 = k. What is the highest common divisor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 27. Let r be 11\/((-33)\/(-42)) + -2. Let u be z(r). Solve -x - 2*x + u = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -21*p. Let w(n) = -17*n**2. Calculate w(c(y)).\nAnswer: -7497*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26225 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 14*m**3 - 4749*m**2 + 4749*m**2 + 52*m**3.\nAnswer: 38*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 51, -5, 2\/3, 0.02, -2\/5, 5, -2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3256?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1675\/39 - 331\/(2078349\/(-322)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1603564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 7*m**3 - 10*m**3 + 5*m**3 + (2*m**2 + m**2 - m**2)*(4*m - 4*m + 2*m**2) to the form i*m**3 + x*m + b + o*m**4 + d*m**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3841?\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4\/18115003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66.39 and -0.0713?\nAnswer: 66.3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 17*h**2 - 391*h - 3277. What is g(-10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(13)*1 + 3)**2 - sqrt(13)) + sqrt(13) + (sqrt(156)*2)\/sqrt(12).\nAnswer: 23 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*q = -4*q - 13, 4*m = -2*q + 22. Let u = 9 - 6. Let r = 11 + -16. Which is the smallest value? (a) m (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 + 27*i**2 - i - 6. Let a be n(-9). Suppose 0 = -j - 5*d + a, -4*j + 15 = j + d. Solve -5*v + 19 = 2*m, 6 = 4*v + j*m - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhvvhgvhvieg. What is prob of picking 1 v and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 235, 218, 193, 160?\n\"Answer: -4*c**2 - 5*c + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 != -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 plus 0.1315?\nAnswer: -381.8685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/3 - (-8)\/768*-163 and 69\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -601\/24 or -25?\nAnswer: -601\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -39, -37, -23, 9, 65?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:22 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 3*b**4\/8 + b**3\/3 + 6*b**2 + 32*b. Calculate t(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27 and -77\/1287416?\nAnswer: 1287416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 112*j + 44. Calculate i(-57).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let v(b) = 48*b**2 + 2*b + 2. Let f be v(l). Suppose 27 = 5*p - f. Solve 0 = -4*a + a + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2)*(0 - 1). Suppose o*n - 10 = -n. Calculate the lowest common multiple of 6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 219.9? (a) 3\/4 (b) -0.18 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 1871 + 643*l**3 - 1871 to the form a*l + j*l**2 + s*l**3 + r and give s.\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 21. Let n = -0.02 - 3.98. Let h = 194\/265 + -141\/265. Which is the second biggest value? (a) n (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/3*1\/(-2). Let q be (738545\/(-3))\/((-4)\/r). Let k = q - 468545. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518 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: Let o(f) be the second derivative of f**8\/42 - f**4\/6 + 5*f**2\/2 - 8*f. Let r(q) be the first derivative of o(q). What is the second derivative of r(n) wrt n?\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -495ffc - 2?\nAnswer: -495ffe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19587 = -855*s - 126*s - 3410 + 6320 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let g(f) = 621*f**2. What is g(s(n))?\nAnswer: 621*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 0*t**2 + 0*t**2 + (21 - 11*t**2 - 21)*(t - t - t**3).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -128. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x + 65*x + 5*d + 2930 = 0, 5*x + 2*d = 2895. Let a be (468\/(-10))\/((-2)\/(-10)). Let i = a + x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 7:22 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -218\/3. Let h = 0.03 - 4.03. Let k = -4 - h. Which is the nearest to -0.1? (a) 0.1 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131359680.\nAnswer: 2, 3, 5, 1607, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*j + 1742 - 887 = -2104. What is the third biggest value in -4\/7, -2, j, 22, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1040870 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 - 1050 = -6*t. Let h be (5\/3 - 1)*t\/24. Let d = 3.96 - -0.04. Which is the smallest value? (a) 0 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 427*z - 3488. What is m(8)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -480464 (base 10) to base 5\nAnswer: -110333324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21075*r + 178. Is i(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22296, -33359 in descending order.\nAnswer: 22296, -4, -33359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 38*z + 22. Let u be x(-4). Let j = u + 162. What is the greatest common factor of 176 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2807*o**2 - 862*o**3 - 5611*o**2 + 54 + 2794*o**2 wrt o?\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-7 - -3 - (2 + -12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*d + 3*p - 0*p, 38 = 3*d - 5*p. Suppose 3*s - 3*g + d*g = -24, -2*g - 31 = 5*s. Is 4 - (-139 - (-3 - s)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aab8 + 2?\nAnswer: aaba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 106197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4 + (3 + 2 - 4)*(-2 + 1 - 1) - 2 - 2 + 2 + (-1 + 0 + 3)*(4 - 3 + 0))*(-1 + 5 - 3)*(-46*q + 8*q + 2*q) as i*q + x and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 - -144\nAnswer: 150.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**5\/15 - 2*k**4\/3 + 2*k**3\/3 + 4*k**2\/3 - 8*k\/3 + 3. Find w, given that n(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73568, 73267, 72966, 72665?\nAnswer: 72364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110312441 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = 65*m - 5*p - 27, 2*p = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - i = -16, -b = 5*i - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 90*n + 72. Let c(g) = 5*g**2 - 179*g - 128. Give -4*c(v) - 7*y(v).\nAnswer: v**2 + 86*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 73*x + 7. Let i(y) = -2*y - 2. Give u(i(k)).\nAnswer: 12*k**2 + 170*k + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 24133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 966*s - 6758. Let j be c(7). Put j, -5, -3, -2, 2 in increasing order.\nAnswer: -5, -3, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s. Let f(x) = 5*x. Let v(u) = -5*f(u) - 3*o(u). Let r(j) be the second derivative of 0 + 0*j**3 - 30*j + 7\/12*j**4 + 0*j**2. What is r(v(p))?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 341.\nAnswer: -36\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 206, 304, 398?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {d: 2, k: 1, g: 1, y: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-9)*3*119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Suppose -4*a = 6*h - 2*h + 4, 2*a = 3*h - 12. Let d(t) = h*t - 115 + 115. Give d(b(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*j + 602 = 198*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 465853928 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1883 + 1883. Which is smaller: -3\/1121 or f?\nAnswer: -3\/1121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/4 - 24\/(-8). Suppose -2*x - 178 - 633 = -o*y, x + 808 = 5*y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:27 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -8)*(-40)\/16. Is 96\/5 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 25 + 1. Let m = 901 - 884. Suppose x + 2*y - v = 3, 3*y = -5*x + m. Which is the second biggest value? (a) x (b) 0.4 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*t + 5*a, -4*a + 20 = -8*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 - 3*z + 40*z**5 + 3*z + z**5 wrt z?\nAnswer: 2460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2*k**3\/3 + k**2\/2 - 2*k - 2. Let q(o) = 5*o**2 - 3*o + 6. Determine 3*q(d) + 8*s(d).\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -1 - ((30 - (-39 + 34)) + -59)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7767 = 2*z + 4*l - 3495, 0 = -3*z - l + 16883. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 + 330*h**3 - 1932*h**2 + 382*h + 2640 = 0 for h.\nAnswer: -88, -1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose 1 = -o*s + 5. What are the prime factors of 15 - (s + 0\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 480575 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 + 33*a - 135\/4.\nAnswer: 3*(a - 1)*(a + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -823364 rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 + 5 = 0. What is the highest common factor of w and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkbbjccbjjm. Give prob of sequence bcb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3263.235 + -3071. Let u = y + -0.235. Let s = 191.99999891 - u. Round s to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d665 + -21?\nAnswer: 2d644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 405 - -174. Let l = r + -578.5. Which is the second smallest value? (a) l (b) -4 (c) -28\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 239*o**2 - 674*o - 40. Does 30 divide t(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138584311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(6*n - 2*n - n + (1 - 4 + 5)*(0 + 0 + 2*n) + 1 - 1 + 2*n - 5 + n + 5).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 344865871154 and -7?\nAnswer: 344865871161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 48798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {v: 4, n: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8130 + -8124. Let h(a) be the second derivative of 85\/6*a**3 + 1\/6*a**t + 85\/12*a**4 + 0 + 7\/4*a**5 + 15*a**2 - 31*a. Factor h(w).\nAnswer: 5*(w + 1)**2*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162860 divided by -4\nAnswer: -40715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 10 - 180. Suppose 3*c + c - w = -245, -3*w = -4*c - 255. Let y = -28 - c. Calculate the remainder when y is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*n - 64, 4*g - 5*n = -g + 140. What is the least common multiple of g and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4 - 9*x**3 + 8673*x**2 - 51291*x + 42630 = 0. What is x?\nAnswer: -58, 1, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -13*k**2 + 2. Let m be h(1). Let g = m + 23. Sort 1, -2\/9, g in increasing order.\nAnswer: g, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 38?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 23. Suppose z*i + 14 = 174. Suppose -4*l + 12 = -0. Solve -3*v = 4*b - i, -4*b = 2*v + l*v - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002873516 to 5 dps.\nAnswer: -0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1009492*-11\nAnswer: -11104412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 5*s - 55. Let q be (-155)\/s + 2\/11. Solve -3*x + 1 = -4*g, q*g = g - 3*x - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 615894715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/2 + 462*m**4 - 40581*m**3 - 82542*m**2 - 83001*m\/2 = 0. What is m?\nAnswer: -379, -1, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*q**2 - 282*q - 277*q + 549*q to g*q**2 + w + u*q and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462603612 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p + 1. Let d be s(-1). Suppose -4*x - 5*a = -1, 2*x - a - d = -0*x. Solve 0 = 2*k, -x*k - 1 = 5*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)\/(t**(-2\/7)*t))\/(t**3*(t\/(t\/t**3))\/t)*((t**1\/t)**(-1\/26))**(2\/87) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -20 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209 + -53. Let h = -262.0924 - p. Round h to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/22990935 and 53\/3483475?\nAnswer: 114954675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/9, 10, 1\/10, -2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -4*v**3\/21 + 6*v**2 - 152*v\/7 - 540. Find y such that m(y) = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97239949327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**4 + 3*g**3 + 10*g + 3. Let s(l) = 6*l**4 + 2*l**3 + 9*l + 2. Let v(a) = -3*s(a) + 2*x(a). What is the second derivative of v(f) wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 14}. Give prob of sequence yh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11024628 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 4. Suppose -2*x - 1 = 1. Let j(f) = 34911 + 34910 - 69822. Give x*t(h) - 5*j(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 13.4?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:31 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 68. Let r = -0.331 + 0.331. Which is the second smallest value? (a) g (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 55, 118, 207, 322, 463, 630?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*1793\/1630.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15127*h + 211374. Determine f(-14).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 1\/2*j**2 - 4*j - 56 - 119\/3*j**3. What is the second derivative of g(y) wrt y?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-187)\/(-33))\/(-17)*(-8)\/4*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5 + 1. Suppose -q = -s - 2. Let b be q - 6 - 1*-3. Solve m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e00 (base 15) to base 4.\nAnswer: -1211331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 divided by 208824?\nAnswer: 179\/208824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22843675 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524664960?\nAnswer: 2, 5, 3944789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i - n + 6, 6 = i + 2*n. Suppose i*s = -3*m - 0*s + 9, 0 = 3*s. What is the highest common divisor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -802, -799, -794, -787, -778, -767?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 6. Let g(a) = -1. Let o(i) = 3*g(i) + q(i). Let t(h) = -h**2 + 894*h - 7081. Let j be t(8). What is o(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Sort 0, l, 3 in descending order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4346 = -4*m + 2*r, 0 = 3*m - 5*r - 83 - 3173. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53397596 rounded to 4 dps?\nAnswer: -1.534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 85. What is the nearest to -1\/2 in a, -0.01, 5\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 67*c + 36. Is b(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*o - o - 9, 3 = 3*p + 3*o. Let g = 4.695 - 4.595. Which is the third smallest value? (a) -3 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-12)*(-18)\/(-4). Suppose 3*l = 4*j - 35, 0 = -3*j - 5*l + 6 - 16. Sort -1\/4, j, b, 3 in increasing order.\nAnswer: -1\/4, b, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19240 and 184704.\nAnswer: 923520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -631, -812, -1105, -1546?\nAnswer: -2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*w + 49832 = 3247*w + 1627*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-20))\/((-2)\/(-2)). Is -1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqiqqqiqiiq. Give prob of sequence iiqi.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -46. Let d = -2263154\/71 - -31876. Calculate the common denominator of 0 - (9 + -2 + (-4)\/g) and d.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -115, -451, -1011, -1795?\n\"Answer: -112*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 + 0. Let o = g - 0.6. Let r be (-36)\/(-24) - (1 + 0). Which is the nearest to 0? (a) -4 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 13) to base 12\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3221.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 4*n - 9. Let m be f(9). Suppose -3*r + m = -0*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 4 - 4 - 19*j**2 - 25*j**2.\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 418*u + 416 = 0. Calculate u.\nAnswer: -208, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*m**3*n + 121*m**3 + 5*m**2*n + 59*m*n - 55*m - 3*n + 16 wrt m.\nAnswer: 816*m*n + 726*m + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3. Let r(k) = 24*k**3 - 2*k**2 - k - 1. Calculate -14*p(l) + 2*r(l).\nAnswer: 6*l**3 - 4*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561087179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*f**2*q**2 - 3*f**2*q - 12*f*q**2 - 178685*f*q - f + 3465*q**2 wrt q?\nAnswer: -40*f**2 - 24*f + 6930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3965\/3 or 1321?\nAnswer: 3965\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 6*u**2 + 0*u**4 + 1\/3*u**3 + 5*u + 45 - 19\/5*u**5. Find the second derivative of i(f) wrt f.\nAnswer: -228*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 309 + -308.99999867. What is l rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzu when three letters picked without replacement from {u: 6, h: 2, z: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 14*z + 10*z - 15 = 0, o = 4*z + 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*p**2 + 301*p**2 - 54*p**2 - 63*p**2 - 63*p**2.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -35. Suppose -2*u + 7*u - l*d = 40, -2*u + 18 = -3*d. Find the second derivative of -12*f**2 - 8*f**2 + 20*f**2 + u*f**3 - 21*f wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22*k**2 + 7*k - 11. Let t(s) = -s**2 - s - 2. Let h(q) = j(q) - 4*t(q). What is the second derivative of h(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 33*a + 30. Let q = 63 - 56. List the prime factors of f(q).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/(-20) - (-465)\/62. Let o be (15\/(-12))\/(2\/(-8)). Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i + 10*i - 3*i + 4*i.\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 10. Let a be y(-8). Calculate the least common multiple of 2 and (4\/(-3))\/(a\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) 0.02 (b) -0.01 (c) -2\/11 (d) -5 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004619385345 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p*p)\/p*p**3*p\/p**4*p**(-5)*p**(-6)*p**3*p**(-4)\/(p*p**(-1\/10)) assuming p is positive.\nAnswer: p**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 3*w + 4 + 3. Let p(l) = -l + 1. Let o(i) = j(i) - 3*p(i). Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6726, -6721, -6716, -6711, -6706?\nAnswer: -6701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -869376*x**5 + 373*x**4 - 2*x**3 + x**2 + 72701613*x.\nAnswer: -52162560*x**2 + 8952*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1509300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6 - -6) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*b - 2480, 3*h + 3492 - 1008 = -2*b. Let j be (3\/9)\/(b\/(-18)). Is 0 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one halves of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143099210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 6*i**4 + 3*i**4 + (2*i**2 + i**2 - 2*i**2)*(-4*i**2 - 7*i**2 + 4*i**2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41138*a**2*o + 191216*a**2 - a*o - 5*a + 5*o - 1 wrt o.\nAnswer: 41138*a**2 - a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-231*x**2 + 73*x + 20 + 257*x**2 - 75*x)*(-2 + 2 - x) to y*x**3 + n + i*x + r*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 303 (c) 2 (d) -1\/10 (e) 39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b + 21. Let m be x(-2). Let w(j) = 532*j**2 + 9*j - 98. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 16336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -2.99. Let g = -15 + 19. Let q = o - g. Which is the third smallest value? (a) -1\/3 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 9. Let y = 64 - 64. Let r(q) = 79 - 41 + y*q - 48 - 5*q. Calculate -7*p(h) - 6*r(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80894 and 0.05422.\nAnswer: 4386.07268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30873 + 341?\nAnswer: -30532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 63.78. Let f = h + -0.88. Which is the third smallest value? (a) 0.3 (b) f (c) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 21498*y - 85944.\nAnswer: -3*(y + 4)*(y + 7162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16858 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 63*(-6)\/(-4) + (-5)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56051\/6425 + 218\/25. Calculate the common denominator of u and 51\/11.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*h + 291*h - 147*h = -12*n + 3, 9 = -3*n - 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262415982.\nAnswer: 2, 109, 5790899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61874.92ug?\nAnswer: 61.87492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4689, 9382, 14089, 18816, 23569?\nAnswer: 28354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*p + 807*p - 13981 = 140*p + 12*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Suppose 0 = -15*k + 23*k. Let g(r) be the second derivative of 0*r**3 + 1\/12*r**4 + k*r**2 - 3*r + 0. Calculate g(n(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 12:22 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*k + 21873 = 294*k - 23879 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 8 + 8)*(4 - 2 - 5) + (-z + 1 - 1)*(2 + 0 + 0) to the form a + x*z and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 150*l**2 + 163*l - 164. Determine b(74).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 137908*r**3 - 2317145666*r**2 - 2074873851984*r - 452724992882208 = 0. What is r?\nAnswer: -431, 34908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, y: 2, l: 2}. What is prob of picking 1 y, 1 e, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*d + 916*d + 2950*d + 13 - 13 to p + g*d and give g.\nAnswer: 4124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) 6 (d) -5\/9 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l - 2. Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1851 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*b = -1, -3*b + b = -2. Let a be -4 - (-1)\/(3\/24). Suppose 0 = 2*w + a*h - h + 3, 4*h + 15 = w. Solve -3*l - w = -3*f, -1 = -f + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 230*r - 227*r - 3 - 40 = 0, 2*g + 63*r = 1018 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*k - 76*k - 215*k + 599*k.\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-219)\/225 - -1)*5*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-608)\/9)\/(-8) + 96\/(-12). Determine r, given that -2\/9*r**5 + 0*r**4 - g*r**2 - 2\/3*r + 4\/9 + 8\/9*r**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 1 - 1\/(-1). What is the second derivative of -5*d**4 + 2*d + t*d**4 - d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 192, 3, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3*r**3 + 2*r + r + (r**3 + r**3 + r**3)*(-2 - 3 + 3) + r**3 + 3 - 3 to the form i + g*r**3 + l*r**2 + j*r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109643194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:33 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:52 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.627646ml?\nAnswer: 0.007627646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = l - 5*t + t, 3 = 3*t. Suppose 4*p - 112 = -3*p. Calculate the remainder when l is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37956563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.16 - -20.36. Let b = 0 - -0.1. Let j = -0.1 + b. What is the closest to y in j, 2, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 28 - 107. Suppose 4*q - 23 - j = 0. Suppose 2*l = k + 86, -2*k - q = -l + 32. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294006, -588434, -882870, -1177320, -1471790, -1766286, -2060814?\nAnswer: -2355380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 29 (b) 0 (c) -2\/5 (d) 3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263175 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77733480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 25393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let g = 29 + -26. What is the third smallest value in s, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-55928900)\/70) + 2\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**2 + 2*v**2 - 6*v**2)*(-4*v**3 + 0*v + 0*v) + (0 + 2 + 0)*(-v**5 - 2*v + 2*v) - 13248*v**2 - 45*v**5 + 13248*v**2.\nAnswer: -71*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h**2 - h + 0*h**2 + h**2 + 6*h**2 + (-3 + 3 - h)*(2*h - 2*h - 2*h) - h**2 + h**2 + 2*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1160493896, 5, 1 in increasing order.\nAnswer: 1, 5, 1160493896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 37*x**2 - 7*x - 124. Is j(27) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(5 + (3*sqrt(405)*-2 - sqrt(405)) + 1*2*sqrt(405)))**2.\nAnswer: -900*sqrt(5) + 40525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 28\/19137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -61525 divided by 575\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -23*a + 188. Let z be f(8). Let y(l) = 2*l**3 + l**2 - 4*l - 1. Let s(m) = -3*m**3 - 2*m**2 + 7*m + 2. What is z*s(j) + 7*y(j)?\nAnswer: 2*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53534 is divided by 552.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 279 - 21 = 0. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = 2*j + 5*m + 360, 4*j - 4 = -2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -72, -107, -166, -255, -380, -547, -762?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x + 8*x**5 + 4*x**5 - 6*x wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:08 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 10*u**2 - 9*u + 2. Determine j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -778 + 783. Let i = -5.94 - 0.06. Let o = 4 + i. Which is the biggest value? (a) o (b) -2\/5 (c) 1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46993 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25155*i = -25162*i + 107163000. Round i to the nearest one hundred thousand.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399940572 to the power of 1\/2, to the nearest integer?\nAnswer: 37416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 66*o + 4*m - 170, -o - 4*m = -2*m - 53 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 417 + 1592*p - 233 - 1215 - 784 - 78 wrt p?\nAnswer: 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u + 2159*u = -14 + 14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 94 and -0.0207268873.\nAnswer: 93.9792731127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45434?\nAnswer: 2, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1640 and 5?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 440, 650, 1048, 1694, 2648, 3970, 5720?\nAnswer: 7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 5)*(-s**3 - s**3 + 0*s**3) + 4*s**3 + 6*s**3 + 4*s**3 in the form c*s**3 + m*s + u*s**2 + w and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let f = -5 - -10. Sort f, -4, k in decreasing order.\nAnswer: f, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvvv when four letters picked without replacement from rrrrervrrrvrrrrvr?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z + 911537 = 79*z. Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -8, -7 in descending order.\nAnswer: 0.4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 times 0.1?\nAnswer: 215.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/46150 and 59\/49700.\nAnswer: 646100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39350*x**4 + 1101805*x**3 + 4525390*x**2 + 575*x = 0.\nAnswer: -23, -5, -1\/7870, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**26\/d)**(-3\/13)*((d**41*d)\/d)\/((d**(1\/39)\/d)\/d*d) assuming d is positive.\nAnswer: d**(1412\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 2\/9 (c) -260 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - -128. Let u = 324 - 145. Let p = t - u. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 82 in ascending order.\nAnswer: -1, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 28. Let y = 10 + g. Suppose 0 = -27*o + 31*o + 8. Which is the biggest value? (a) 1 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097803 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(0 + 3) + -2. Let t be ((-3)\/w)\/(2\/6). Let l = -1 + t. Solve -l*u = u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*o + 9 = -6*o, -2*o - 3 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69636*a + 69636*a - 39*a**3.\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 647121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18116, -38364, -58600, -78818, -99012, -119176?\nAnswer: -139304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-80)\/(-2))\/1*1. Let p be -6 - (-195)\/6 - 2\/4. Let h = z - p. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62, 271, 626, 1133, 1798, 2627?\n\"Answer: f**3 + 67*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173.455 centuries in decades?\nAnswer: 31734.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 7 - (-23 - -3) - (4 - 2 - 54)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-8))*u))\/u**7)\/(u*u*u**(-5\/6)\/u*u**(1\/4))*(((u*((u*(u**(-1)*u*u)\/u)\/u)\/u)\/u)\/u*u)**19*u**(-2)*u**(1\/3) assuming u is positive.\nAnswer: u**(-433\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53\/133 - -13\/19. Are -308 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580426079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 3*i - i, -4*d - i + 19 = 0. Suppose 0 = d*w + w - 3265. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-7)*35\/(-10). Solve 6*u = y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23)*z)\/(z*z*z\/z**3)*(z\/(z\/z**(-18))*z*z)\/z**(-3\/16) assuming z is positive.\nAnswer: z**(-605\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-18 - (29 - 62))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h**2 + 4*h. Let a(v) = 15*v - 36*v + v**2 + 21*v. Determine a(r(j)).\nAnswer: 361*j**4 + 152*j**3 + 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18.1, -13, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**2\/2 - 251*k + 56.\nAnswer: -(k + 56)*(9*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283816527 and 4852?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63654.93mg in kilograms?\nAnswer: 0.06365493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 23*l - 6. Determine g(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*n - 638, 259 + 127 = 3*y - 5*n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -9. Suppose 2*c - 4 = -3*f + 23, f - 9 = -3*c. Let j = f + p. Solve 0*k + j = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/4221?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/((-1596)\/70))\/(951\/(-1494) - 2\/(-3))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12625 and 500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 - 63?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 4*q - p + 8 = 0, 0 = 3*q - 2*p + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 628782 divided by 231\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 17 + (-16 - (-2 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:29 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 789224 and 10?\nAnswer: 3946120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) -1 (d) 2 (e) 1481 (f) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {f: 1, o: 2, t: 7, p: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -34*r**4 + 616*r**3 + 1280*r**2 = 0.\nAnswer: -32\/17, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -996 + 2666. Let x = -30395993907.16 + 30395992237.159998979. Let u = i + x. Round u to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 231 and 14.\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13 = -2*w, w + 2*h + 12 = 1. Let i = -1373\/63 + 200\/9. Which is the nearest to 2\/3? (a) i (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506923748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 146\/6 - 245\/21*4\/20. Solve 24*l + 6 = g*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -1 (c) 4 (d) -298\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 29 + 41)*(17*m**2 + 160*m**2 + 160*m**2 - 118*m**2).\nAnswer: 23433*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5106)\/92)\/(6\/4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.57 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 5*i - 29 + 2*i**2 + 18 to the form u*i**2 + g + m*i and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33001786 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2 - 1) + (-3 - -166). Suppose -m*g = -165*g + 1895. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737412 is divided by 6790.\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/4 - 3*a**2\/4 - a\/4 + 3\/4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24907 = 57*g + 26332 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-18)\/(-12)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*g + 850*g = 2*s + 39, -g = -5*s + 4*g - 100 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18221256 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 613.\nAnswer: -18.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.512 - 0.812. Sort 0.07, -1, 0.3, y in descending order.\nAnswer: 0.3, 0.07, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*t - 2 = 0, 8 = 2*q - 4*t + 2*t. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 60 - 19 + 80 = 2*m - 4, -2*h - 85 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u**2 - 24*u**2 - 4033476*u**3 + 4033460*u**3.\nAnswer: -16*u**3 - 73*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26604383 by -1.\nAnswer: -26604383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 180 = -2*m - 4*n, -2*m + 210 = -2*n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62836, 251325, 565478, 1005301, 1570800, 2261981?\n\"Answer: m**3 + 62826*m**2 + 4*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let o(v) = -10 + 2 + 9 + v**2 + v. Let p be o(x). Is 1\/5 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b + 9. Let j be (-12 + b\/(-3))\/1. Let c(w) = -6*w - 11. Is c(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6849 + -6844. Solve -l*p + 12 = -3*k + 5, 2*p - 5*k + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.1 and -3179?\nAnswer: 22570.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, y: 1, n: 2, l: 4}. What is prob of picking 1 y and 1 j?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1242, -2492, -3758, -5046, -6362, -7712?\n\"Answer: -h**3 - 2*h**2 - 1237*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/10 - 2*d**4\/5 - d**3\/5 + 4*d**2\/5 + d\/10 - 2\/5 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 217, 437, 657, 877, 1097, 1317?\n\"Answer: 220*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/14 - (28\/441 + 18\/81)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20056247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*h + 128, -h - 432*c = -427*c + 4 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**2 + 10*k + 5. Let w(t) = -4*t**2 + 4*t + 2. Let a(u) = -2*p(u) + 5*w(u). Let b(i) = -188*i. What is a(b(j))?\nAnswer: -70688*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 15 = -39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 26.4. Put -1.1, d, 1 in descending order.\nAnswer: 1, d, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192530, -192542, -192570, -192620, -192698, -192810, -192962, -193160?\nAnswer: -193410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + -55 + 165 - (1 + 135).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73406250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/191464 and 79\/1367600.\nAnswer: 9573200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let m(g) = 1346*g + 837*g - 231*g - 362*g + 607*g. Determine m(d(c)).\nAnswer: 4394*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9502, -22036, -37596, -56182, -77794, -102432?\n\"Answer: -1513*m**2 - 7995*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 35 (c) 4 (d) -4\/107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 - 2.8. Let r = q + 0.1. Let f = -129 + 129.5. What is the nearest to r in 0.4, f, 3\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 15*w**3 - 621*w**2 + 6222*w + 3960 = 0.\nAnswer: -3\/5, 20, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -29*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + o = 170135, 34027 = k - 20*o + 17*o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17dba (base 16) to base 12.\nAnswer: 48676","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -5*z + 30, 5*z = -4*o + 12. Suppose 8 = -0*m - z*m. Let n(l) = l**2 + 5*l + 2. What is n(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 = 76*c - 75*c, -2*x - 5*c + 22 = 0. Is 36\/623 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 765*i**5 - 13062*i**4 + 963*i**3 + 102*i**2 = 0. What is i?\nAnswer: -1\/17, 0, 2\/15, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 = 2*r - 37, 5*r - 2*s - 132 = 0. Let t = -16 + 10. Let q(p) = -p**2 - 8*p - 3. Calculate the remainder when r is divided by q(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248818 and 13954984?\nAnswer: 5294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 204 - 180. Let k = 16 - 4. Calculate the highest common factor of k and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68570506 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h + 2. Let g be l(-6). Let v(z) = z - 6*z**g - 4 - z**3 - 7*z + z**2. What is the units digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.7616 and -34?\nAnswer: 433.8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -435847.2306 rounded to the nearest one hundred?\nAnswer: -435800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 66*z**3 + 41*z**3 - z.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 15. Let b(u) be the third derivative of u**4\/24 + 5*u**3\/3 - 85*u**2 + 5. Calculate b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 + -155.7. Let f = x + 13. Let p = -0.2 + 0.3. Which is the closest to p? (a) -4\/3 (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 10*l - 15. Suppose -2*h + 36 = -6*h. Let t be a(h). What are the prime factors of (4\/t - 0)\/(2\/(-114))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 = -2. Let o be (9\/2)\/((-3)\/4). Let u = -3 - o. Solve -4*w + 21 = -f*i, 5*i + 2*w + u*w = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*p - 71 = -111 - 239. Let t(q) be the third derivative of -q**5\/60 + q**4\/24 - q**3\/2 + 2*q**2. What is t(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.07 (c) 2\/11 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-66)\/4))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022721 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105508?\nAnswer: 2, 13, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/27 + (-4)\/(-18). Let g(v) = k*v + 1 + 0*v + 5*v**2 - v**3 - 3*v. What is the remainder when g(4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**3\/c)\/c*c)\/c*c)\/c)**(-18))**(-26) assuming c is positive.\nAnswer: c**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 187, 1010, 3239, 7576, 14723, 25382, 40255?\n\"Answer: 117*c**3 + c**2 + c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18778 is divided by 1117?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/30 - 35*v**2. Let k(c) be the first derivative of -2*c**3 + 3. Give k(m(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 744838 and 744461 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r - 7. Let c(n) = 50*n - 20. Calculate -6*c(d) + 17*v(d).\nAnswer: -11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 4*u**3 - u**3 + 121.\nAnswer: -5*u**3 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - (4 + -3) - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/120363, 26, 0 in descending order.\nAnswer: 26, 2, 2\/120363, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2539 - -29382. What are the prime factors of g?\nAnswer: 137, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201523, -201579, -201667, -201805, -202011, -202303, -202699, -203217?\nAnswer: -203875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255030879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/12 - 5*o**3\/6 - 168*o. Give j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*6\/(-8) + -45 + (-12474)\/(-264). Put -2, 4, -1, 5, n in descending order.\nAnswer: 5, 4, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -1554?\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -71*r**3\/6 + 101*r**2\/2 - 24*r + 38. Let n(c) be the first derivative of y(c). Find the first derivative of n(v) wrt v.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 117 = -f. Let x = 799395 - 799398. Put f, x, 5 in decreasing order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 4:48 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o - 8. Calculate h(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -32*i - 4. Let n be w(3). Is 7\/(-21) + n\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9276 - -0.048.\nAnswer: 0.9756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41, 29, 11, -13, -43, -79, -121?\n\"Answer: -3*y**2 - 3*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 172, 240, 324, 430, 564?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -959, -3826, -8605, -15296, -23899, -34414, -46841?\n\"Answer: -956*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 8, 675 in decreasing order.\nAnswer: 675, 8, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 318, 317, 338, 393, 494, 653, 882?\n\"Answer: 2*c**3 - c**2 - 12*c + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 16*r + 43. Let v be s(13). Find g such that 281 + g**v - 281 - g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z - 2*z)*(-17 + 6 - 3)*(0*z - 3*z + 2*z).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.32 - 0.623. Let i = c - 0.143. What is i rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -2)*150\/12. Suppose -30 = -0*k - 3*k. What is the greatest common factor of j and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 1 = -9346*j + 9347*j, 0 = 4*z + 4*j + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2898 = -9*r - 0*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818.698 rounded to the nearest 10?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 311*o - 333*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -286, -394, -598, -928, -1414?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12469374?\nAnswer: 2, 3, 692743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 + 10 - -19) + -20?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101012121010 (base 3) to base 8.\nAnswer: 610316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l - 4. Let y(r) = 25*r + 6. Let d(u) = -7*m(u) - 5*y(u). Let s = 2 - 3. Let f(k) = -k. Determine s*d(h) - 4*f(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 60.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*((-124)\/(-12) + -5)\/62?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + 2*j + 29. Let c be n(0). Let m = 34 - c. Solve 4*u - m = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.04, -315, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 8. Let o be i(0). Let n(s) = s**3 + 9*s**2 + 8*s. Let j be n(o). Solve h - 2 = 2*w, -3*h = -2*w + 2 - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2594*w**3 + w + 637?\nAnswer: 15564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + 6 + -9 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 984898.5 litres?\nAnswer: 984898500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(0 - 4*a + 0) - a - 1 + 1 + (a - 3 + 3)*(-6 + 2 + 3) + 2*a + 0*a - a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6 + -26 + (1 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.823988 kilometers?\nAnswer: 7823.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 24. Let d = 40 - 48. Let m be x(d). Solve i - 2*l = 4*i + 13, m = 4*i + 3*l + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701.\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 less than -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2 + 2*v - 1. Let s be r(2). Let y(f) = -f**3 - 21*f**2 - f - 16. Let n be y(s). Suppose -3*d = -n*d. Let w(i) = -i**2 + 17. Calculate w(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(18))*-4 + 5 + ((sqrt(378)\/sqrt(7))\/sqrt(3))\/(sqrt(45)\/sqrt(20)))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -54*y. Let i be s(-2). Let h = i - 69. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 3\/2*z**3 + 1\/2*z**2 + 12*z + 1 + 53\/4*z**4. What is the second derivative of v(i) wrt i?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 3210104?\nAnswer: 3210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*-4*((3*sqrt(495))\/sqrt(11) + 3) + -4).\nAnswer: 380 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 1 + 0)*(-u**2 + 71*u**2 + u**2).\nAnswer: 142*u**3 - 71*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 19*q**2 + 3. Let d be t(19). Which is the biggest value? (a) 4\/7 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1173\nAnswer: -1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k**3 + 2*k**2 - 3*k + 2. Calculate n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5073, -20242, -45509, -80874, -126337, -181898?\nAnswer: -247557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(3*a - 2*a - 3*a) + 4116 - 4116 + 111*a + (2 - 2 + a)*(2 + 0 - 4).\nAnswer: 113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21120 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 43*w = -48*w - 327, -w - 1683 = -5*o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151478*p**2*y**3 - 4*p*y**2 - 72*y**3 - 4*y**2 - 35 wrt p.\nAnswer: 302956*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60108480 smaller than 60108478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2067 and 157993.\nAnswer: 6161727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 13. Suppose 2*w - 34 = 5*j + 19, 0 = -5*w + 20. Let l be (j\/(-6) - 2)\/(1\/6). Sort l, m, 4 in ascending order.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954*0.3.\nAnswer: -286.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3276\/(-7))\/39*(-1)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/3, 5\/23, 2, -17?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 + 9. Let m(t) = 5*t**2 - 4. Let z(a) = -9*m(a) - 4*y(a). Let f(c) be the second derivative of 2*c**4\/3 - 605*c. Determine f(z(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/600 + 12\/(-32))\/((-4)\/200).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5\/8 + 13*n**4 - 79*n**3\/8 - 5*n**2\/2 = 0. What is n?\nAnswer: -1\/5, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336518836366018.999789 - 336519103243948. Let r = s + 266878377. Let v = -448 + r. What is v rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -19. Suppose -2*f - 6 = l, 2*l = -4*f + 3*l - 24. Sort f, t, 4 in descending order.\nAnswer: 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -920160*k**2*x**4 + 4354*k**2*x**2 - 131*k**2 + 2*k*x**2 - 10*x**4 - 4*x**2 + 2*x wrt x?\nAnswer: -22083840*k**2*x - 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 45*g**2 + 226*g - 128. Determine n(40).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**3*n - 4*l**3 - 19*l - 35*n wrt n.\nAnswer: 2*l**3 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 118?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(252)\/(sqrt(72)\/sqrt(6)*-3 + sqrt(12)))\/((sqrt(175) - -2*sqrt(175)*1 - sqrt(175))*-1).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*b + 8, 4*b - 24 = n - 4*n. Let j be (206 - -2) + 1 + -11. Suppose 0 = -v + j - 154. Calculate the least common multiple of n and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7705762 to four decimal places.\nAnswer: -1.7706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1059 - -1057. What is the fourth biggest value in 2\/9, 2, 44, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 1. Let t(p) = 3*p**2 + p + 12. Let v(w) = t(w) + 2*x(w). Let b be v(0). Suppose b = -5*g - 5, -3*g = 3*z - 57. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489121781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(125)*-1 + 5*((sqrt(45)\/(sqrt(27)\/sqrt(3)))**2 - sqrt(5)).\nAnswer: 25 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-29 - -22 - (1 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:55 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512200 (base 7) to base 5.\nAnswer: -10242340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(119)*2 + sqrt(119)))\/((sqrt(7) + sqrt(35)\/sqrt(5)*-3)*-4).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194335887 to the power of 1\/2, to the nearest integer?\nAnswer: 13940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/4)*p)*p)\/p)**(-15\/8) assuming p is positive.\nAnswer: p**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**49)**(-27) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22737 and 1325.\nAnswer: 568425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1142*d - 4518. Let k be m(4). Solve 20*n = -k + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggw when three letters picked without replacement from {g: 10, w: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 105. Let p be 34\/6 - (-24)\/w. Suppose -4 - 11 = -p*a. Solve 3*n + 4*h = -n, 4*h + 4 = -a*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from irr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188.83071 rounded to 1 decimal place?\nAnswer: 4188.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18109, -17746, -17385, -17026, -16669?\n\"Answer: -z**2 + 366*z - 18474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1542 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*s = 22 - 83, 0 = -4*j - 5*s - 93 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from oaooavaaaaoaaoaaao.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**21\/k))\/k*(k**(-2\/15)*k)\/k*((k*k**0)\/k)**(18\/13))**(-1\/96) assuming k is positive.\nAnswer: k**(151\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 8. Let z(h) be the third derivative of h**5\/30 - h**4\/6 + 2*h**3\/3 + 2*h**2. Calculate the remainder when 19 is divided by z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.13811ms to minutes.\nAnswer: 0.0023189685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:06 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**2\/2 + p + 1. Let u(k) = -k**2 - 1. Let o be u(1). Let d(c) = -c - 3. Give o*b(h) + d(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-2)\/61)\/2). Let z = x - 59. Solve v + 1 = z*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*c, -5*c + 50 = 282131*p - 282136*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 9, 18, 29, 42?\n\"Answer: m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {f: 4, w: 3, q: 3, b: 2, u: 3, v: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjx when three letters picked without replacement from {j: 1, i: 1, t: 5, x: 6, v: 5, e: 2}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87.7 + -94.7. What is the biggest value in 2, b, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6906 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-21)\/(21\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0127119597 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -91*p**4\/12 + p**3\/6 + 1440*p**2 + 5881*p. Differentiate w(x) with respect to x.\nAnswer: -182*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d - 3*q + 30, 0 = -2*d - 5*q + 26. Suppose 0 = d*s - 22*s + 20. Let u = -76 - -96. Sort 4, u, s.\nAnswer: 4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 15. Let j = 3688\/9 - 410. Let h be 16\/(-6)*(-3)\/(-2). What is the biggest value in h, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981796269?\nAnswer: 29, 102820561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561*b + 2032717 = -151*b - 9086483. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*t + 8 + 0 = 0, -4*t = 5*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12641*w - 25284*w + 12628*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4735 or 4737?\nAnswer: 4737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 30*k + 22. What are the prime factors of r(25)?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 2)\/(126\/617946)?\nAnswer: 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v + 7. Let h be c(-8). What is the units digit of -2 + (h - 0\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/(66356\/10016)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**3 + 2*w**2 + 0*w**3 - 4*w**2 - w**3 wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 4*q + 6. Let p be u(4). Suppose 21 = 3*l + p. Let b(g) = -g**3 + 4*g**2 + 5*g + 6. What is the units digit of b(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.01, -3, -0.7, 0.1, 0 in descending order.\nAnswer: 0.1, 0, -0.01, -0.7, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 3. Let o be d(7). Suppose j - 1 - o = 0. Let y(n) be the third derivative of -n**6\/120 + n**5\/10 - 5*n**4\/24 + n**3\/2 + 55*n**2 - 2. Give y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) 14 (c) 3\/4 (d) 68 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475222*x**2 + 51*x**3 + 475229*x**2 - 66*x**3 - 950451*x**2.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**5 + 512*m**4 + 12004*m**3 - 27672*m**2 - 39168*m = 0. What is m?\nAnswer: -96, -34, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -45*-14.7\nAnswer: 661.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3 (base 12) in base 10?\nAnswer: -699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386190 and 196160?\nAnswer: 12358080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*u - 15, 0*q = -4*u - 4*q. Let x(c) = -2*c - 8. Let v be x(-7). Let z be (3 + 22\/(-6))*v. Sort u, z, -1\/2.\nAnswer: z, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 2 = -2*y - 5*s, 3*s = 4*y + 81. Is (-1)\/((y\/(-27))\/((-10942)\/3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001761 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 451, 452?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, -16, 9088 in descending order.\nAnswer: 9088, -16, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 + 7*s + 13. Let d be g(8). Let u(w) = w**3 - 2*w**2 - 3*w + 2. Let h be u(3). What is the highest common divisor of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let l(v) = 35*v. Let m be (4 - (-2 + 9)) + 4. Determine m*l(w) - 30*o(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f**2 - 11*f**2 + 7*f**2)*(-359*f**2 + 36*f**2 - 12*f**2).\nAnswer: 5695*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - f**2 - f**2 + 3*f**2. Let n = 7839 + -7836. Let c(i) = 3*i**2. Determine n*a(z) - 2*c(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67639 is divided by 6134.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-34)\/(-3))\/((-156)\/468).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36089 - 1908707\nAnswer: -1944796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 9 - 29 - (0 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**4 - 2*p**3 - 16\/15*p**6 + 0 + 27*p + 0*p**2 + 0*p**5. Find the second derivative of g(l) wrt l.\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -15. Find the third derivative of g*f**5 + 0*f**2 - 5*f**5 + 0*f**5 + 3*f**2 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(5 - q**2 - 5) + 146*q**2 - 55*q**2 - 53*q**2.\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*c**2 - c**2 + 32.\nAnswer: -3*c**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 252 = -2*v + 5*v, 0 = 5*b - 4*v - 284. Suppose 2*k = 64 + b. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14219*m - 14219*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*q - 63, 0 = -5*y - 5*q + 58 + 52. Suppose 2*g + 3*g = y. Suppose -v - g = -3*c, -8 = -3*v + v. Solve -c*m = -2*u - u - 18, 0 = -m + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1375 - 1377. Let p be (-2)\/3*(-368)\/228. Let y = 12\/19 - p. Which is the smallest value? (a) u (b) y (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 12*b + 14. Suppose 0 = -31*h + 30*h - 5. Let f be q(h). Which is smaller: -38\/9 or f?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -61. Let r be 5\/((-10)\/(-4)) + -2. Let i be 12*3 - r\/(-1). Calculate the highest common divisor of n and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 634802 and 22582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by 14.\nAnswer: 193\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 31. Let u be (8\/a)\/((-1)\/18). What is the units digit of (-80)\/u*45\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3, -164304?\nAnswer: -164304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3445157360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/255, 3\/8, -7, -0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 15 = 3*f. Suppose -t - 36 = 5*r - 5*t, -r = 4*t - f. Put 1, r, -1 in decreasing order.\nAnswer: 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -68*v + 21. Suppose -3*n = -80 + 14. Let u = n - 31. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 38, 44, 48, 50, 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (24\/15 + 4). Is 0 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28892\/3 + -9628. Which is the third biggest value? (a) j (b) -5\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**(-7\/11)*(n\/((n*n\/n**17)\/n))\/(n\/((n\/(n**(-17\/2)\/n))\/n)) assuming n is positive.\nAnswer: n**(565\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1435, 2864, 4289, 5710, 7127, 8540, 9949?\nAnswer: 11354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 11*d + 7. Let j be u(-11). Suppose -3*m = h + j, -3*h + 3*m = -7 - 8. Suppose 0*s**h + 0 - 2\/11*s**3 + 2\/11*s**4 + 0*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 63, -5, -37, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**2 + d**2 + (3*d**2 + 2*d**3 - 3*d**2)*(-d - d + d) + 0*d + 0*d - 2*d**4 - 2*d**4 + 0*d**4 + 0*d**4 - 26*d + 4*d**4 + 26*d.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37242311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.5 - 12.59. Which is the closest to -1? (a) 0.5 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12212 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:06 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/(o*o\/o**(-7))*o*o**(1\/4)*o*o**(2\/5))\/((o**(-1\/2))**(-2)\/(o*o*o**(1\/3))**(2\/23)) assuming o is positive.\nAnswer: o**(-4343\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 1 - 4. Let u = 3 + -3.4. Let y = -2127\/14 - -1116\/7. What is the closest to -0.1 in g, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 708. Let j(k) = 2*k - 688. What is -3*j(o) + 4*u(o)?\nAnswer: -2*o - 768","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 200 = -3*v. Suppose 2*q + 3*q = v. Suppose -3*p + q = 5*u - 4*u, 0 = -3*u - p + 28. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 85*o - 1260 = -204*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79.34 - -83.34. Put q, -0.45, -2, -0.2 in decreasing order.\nAnswer: q, -0.2, -0.45, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.061 (b) -0.8 (c) 9 (d) -4 (e) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12280057 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - z + 29 = -17, -3*z + 96 = 4*l. What is the lowest common multiple of 4 and (l\/(-6) - -3)*-22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.5. Let b = 0.175799 + -0.175799. Sort b, -0.1, -5, q in descending order.\nAnswer: b, -0.1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*a**2*u**2 - 39*a**2 - 318349*u**2 + 691970*u wrt u.\nAnswer: 92*a**2 - 636698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.80618 - -3.6939. Let w = 5.5 - d. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 2 - 22 = 0. Suppose m = -c + 7. Suppose 0 = -5*z - 5*b + 95, -m*b + 10*b - 75 = -4*z. Solve -4*y = -0*y - z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwwwqqwqw. Give prob of picking 3 w and 1 q.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 3 + 2*t**4 - t**2 - 6*t**4 to the form o*t**3 + x + i*t + c*t**2 + g*t**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015631069 to seven decimal places.\nAnswer: 0.0001563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 88. Let v = 0.048 + -1.048. Let h = 1.5 - 1.6. Which is the closest to h? (a) -5 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4990*c + 1417*c - 96105 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234542083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 6*r + 12*r + 0*r - 20*r + 8*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.6, -1, 0.2, 0.02, -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100 divided by 556.\nAnswer: 275\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4010777296 to the nearest integer?\nAnswer: 63331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x. Let g(o) = -490*o**2 + 3*o. Let k(h) = -80848*h**2 + 496*h. Let p(v) = 496*g(v) - 3*k(v). Give j(p(a)).\nAnswer: 5952*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*f - 10 + 44, -31 = -2*k + 5*f. Let x = -3 + k. Suppose 3 = -s + 3*q + 2, x*s = -5*q + 55. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/60 - 3*f**2 + 2*f. Let i(l) be the first derivative of o(l). Let u(h) = 9*h**2. Determine i(u(k)).\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose q*t + 32 = 4*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in -1, -4, 5, -0.178, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 - 101*i + 101*i + 3*i**2 - 3*i**2 - i**3 + (-3*i + 4*i + 0*i)*(i**2 - 2*i**2 + 0*i**2) + 2*i**3 + 3*i**3 - 2*i**3 - 2*i**3 + 3*i**3 + i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -m + 17, 2*v - 5 = m + 3. Let b = -1\/879 - -8801\/9669. Is b < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 96?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9965758 is divided by 834.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 - u**2 + 2*u + 2. Let m be a(-1). Determine x, given that 4*x**2 + x**3 - 10*x - 3*x**5 + 12*x + x**2 - m*x**4 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154? (a) -5 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2677 (b) -3\/2 (c) 2\/3 (d) 1\/15 (e) 23\/2 (f) -4 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.03. Let o = 398 - 400. Sort o, b, -3.\nAnswer: -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 6*b - 2. Let c(n) = -26*n**2 - 22*n + 7. Let d(s) = 3*c(s) + 11*q(s). Let f(g) = 3 + 2*g**2 - 2 + 0. Calculate 3*d(t) + 2*f(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -124*v**2 - 38*v + 1448. Calculate k(0).\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84.7031 - -84.7. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 1. Let s(v) = -v - 1. Let z(r) = 2*r + 4. Let o(d) = 4*s(d) + z(d). Give m(o(n)).\nAnswer: -10*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -f - 2*x, -2 = x - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13622*o - 13617*o - 5*z + 5 = 0, 5*o + 3*z - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + z**3 + (0*z**3 - z**3 - z**3)*(1 + 0 + 0) - z**3 - 3*z + 3*z + 77*z**2 - z**3 - 78*z**2 - 2*z**3.\nAnswer: -5*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 4. Let s be f - (-1 + 0)*3. Sort 1, s, -1 in increasing order.\nAnswer: -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/475 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100 - 1101101111101?\nAnswer: -1101111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) -16\/19 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011058 divided by -505529?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1823*u**2 - 1824*u**2 - 12*u - 19*u + 13. Is l(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.5, 14992, 10.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5831432.86 from 10.\nAnswer: 5831442.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-441)\/1266) - 128\/(-1344)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16880120 divided by -5\nAnswer: 3376024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + 3 + (sqrt(80) - -2*sqrt(80)) + (-2*(sqrt(80) + -1) + sqrt(80) + ((sqrt(80) + -1)*6 - sqrt(80)))**2)*-3.\nAnswer: -3876 + 348*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4649964 to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.6 - 10. Let x = -0.5 + 0.9. Let r = x - 0. Which is the nearest to -0.2? (a) r (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4, 49, -3, -445 in increasing order.\nAnswer: -445, -4, -3, 0, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*r - 635*r + 1094*r - 7545 + 7545 to the form a*r + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43134 - -3.56866. What is the second biggest value in p, -5, -3, 2\/5, -0.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 607\/3 - 11524\/57. Let l = 63\/38 - t. Is l greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200813713 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnmmnnmmmnn. Give prob of sequence mmmm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7308 - -7327. Let x = 177\/5 - 35. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*j + 105, 8*d - 17 = 7*d + 3*j. Suppose x + 589 = d*x. Suppose -t + 3*c = -2 - 2, -3*c = 4*t - 76. What is the remainder when x is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 4\/75, 2 in ascending order.\nAnswer: -52, 4\/75, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176)*2 + (0 + sqrt(176))*-6 - 6*-5*(sqrt(176) - 1*sqrt(176)))**2 + 2.\nAnswer: 128*sqrt(11) + 2834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1649, 1 in descending order.\nAnswer: 1649, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*j - 65, -2*j + 5*y + 19 = 4*y. Solve -6*s + 10*s - j = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3 = 2*p, -112*n = -113*n - 2*p + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 141. Let k = -36 - c. Let f = 17 + -17. What is the biggest value in k, 2\/17, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/88 and -4*549\/11088 - 2\/(-8).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423143390 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/12 + 4*c**2. Let y(u) = 6*u. What is x(y(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 6)*(-1 + 3 - l + 1) in the form n + m*l and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -188, -561, -1262, -2399, -4080?\nAnswer: -6413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61765664.\nAnswer: 2, 1930177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56352, 57524, 58696?\n\"Answer: 1172*s + 55180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4486616348 to the power of 1\/3, to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*5*(sqrt(147) + -1 + 0) + (-5 + sqrt(432) + -1 - (0 + -1*sqrt(108))))**2.\nAnswer: -89696 + 6832*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3\/8, 344?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by -5587.\nAnswer: -161\/5587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 10*k + 5. Let i(b) = -3*b + 10. Let r be i(7). Let o be (-1)\/(1\/r) + -1. Is 2 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (12 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1235.1412 - 1144.5. Let p = 81.54042 - y. Let k = -9.1 - p. Round k to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 141650?\nAnswer: 424950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 766978094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -555?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + f + 10. Let z(g) = 4 - g**3 - g + 2*g**2 - 3*g + 3*g**f. List the prime factors of z(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1125958.075 - -1125939.07500011. Let h = -0.08 + -18.92. Let y = h - b. What is y rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -60, -15\/7, 57?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43*-96\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 603*x - 81406. Give n(135).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:22 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7163018 and 81346.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 612\/7. Is s < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26434 + -26420. Let r(j) = 38*j**2. What is the remainder when r(-1) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + 9 + (-3 + 3 - 380). Let l = 378 + u. Let k(r) = -r + 5. What is k(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k + 3. Give s(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34005503 (base 7) to base 8.\nAnswer: 13164324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s + d, 3*d + 2*d + 24 = 3*s. Let h(o) = 24*o - 45. Let w(z) = 10*z - 20. Let m(f) = -2*h(f) + 5*w(f). Calculate m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 47*t = 10. Suppose -4*j + 124 - 24 = 0. Calculate the smallest common multiple of t and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 10. Let j be (-4 - -3)*-5 - -2. Let v be s(j). Let y(z) = z**3 - 3*z**2 + 1. Let f(p) = p**3 - 4*p**2 + 2. What is v*y(d) + 3*f(d)?\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 49*f**2 + 278*f + 152. Determine v(12).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -67. Let y = -16 + n. Suppose -y*w + 2*w + 110 = 0. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35726*g**3*l*y**2 + g**2*y**2 + 10*g*y**2 - 658*l*y wrt g?\nAnswer: -214356*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1105*c. Let y(d) = 3333*d - 1. Give 8*b(m) + 3*y(m).\nAnswer: 1159*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159514, 319410, 479302, 639190?\n\"Answer: -2*m**2 + 159902*m - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11650*s - 1770950. Determine l(152).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 5*i**2 + 9*i + 6. Let m(u) = 0 - 1 - 4*u - u**3 - 2 + 2*u**2. Let x = -81 - -74. Let y(q) = x*m(q) - 3*a(q). What is y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 (base 10) in base 16?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -17\/2*z + 19\/4*z**2 + 7\/4*z**3 + 2 = 0. Calculate z.\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - (-11 + 12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037*m + 1031*m - 2059*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30065, 30077, 30089, 30101?\n\"Answer: 12*c + 30053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 155745 divided by -31149\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195118 and 487795?\nAnswer: 975590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 - 7*o**2 + 11*o - 7. Let k(a) = 74501*a**2 + a**3 + 7*a + 2*a**3 - 74506*a**2 + 0*a**3 - 5. Calculate -7*k(c) + 5*q(c).\nAnswer: 4*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -361, -307, -189, -7, 239, 549, 923?\n\"Answer: 32*g**2 - 42*g - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 13*y = -3*q + 16602, 0 = -17*q + 2*y + 93988. Solve 7*z + q = 5577 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9087434 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116\/9 + (-3)\/27.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*t + 113. Let x = t - 19. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - j - 1. Suppose -11*v - 54 = -230. Let h(w) = 20*w**3 - 16*w**2 - 16*w - 16. Calculate v*a(o) - h(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 6*w - 2. Let x be y(-5). Suppose 2*u + 2*u - 40 = -x*m, 4*m = -u + 23. Suppose -u*h + 212 = -3*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.81 + -8.84. Let d = -8 + o. Let g = 23 + -27. What is the biggest value in -2, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -749.4403438 rounded to one dp?\nAnswer: -749.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -17. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*t = -2173 - 2979 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 20\/8)\/(2\/(-4)). Let d(a) be the first derivative of 0*a - 3*a**4 + 1 - 14\/3*a**j - 2*a**2. What is o in d(o) = 0?\nAnswer: -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let r(y) = -131*y + 4. Let d(k) = 29999*k - 917. Let m(u) = -4*d(u) - 917*r(u). What is m(x(s))?\nAnswer: -131*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129960 = -619*b + 1702*b for b.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**11*m*m)\/m*m)**(1\/20)\/(m*m**(-2\/3))**(-10) assuming m is positive.\nAnswer: m**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*p + 30*c**3 - 3*c**2*p - 729*c**2 + 482*c*p + 3*c - 94*p + 2 wrt c?\nAnswer: -6*c*p + 180*c - 6*p - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = -3*o, -5 = -8*o + 3*o + 5*g. Which is the second smallest value? (a) 1 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11776?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/4182 and (-2 - 33\/(-24))*1334\/345?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {e: 1, w: 2, b: 2, i: 1, x: 1, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)*m*m**(-6\/5)*m*(m**(-36))**(-19))**19 assuming m is positive.\nAnswer: m**(194788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.7979353 - 35.3966602. Let b = 9.79872512 + a. Let x = b - -1.8. What is x rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*4\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/120 - c**4\/12 + 5*c**3\/12 + 72*c**2. Let k(f) = 0. Calculate f.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 4, p: 1, d: 3, z: 4}. Give prob of sequence puz.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 12 - 16)*(4*c + 19 - 19) as l + m*c and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 2*l - 3. Let t(y) = y - 4. Let x(i) = -i + 4. Let m(g) = -6*t(g) - 7*x(g). Let j be m(8). Suppose 4 = 4*v - j. Give q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riw. What is prob of picking 1 i and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + g**2 - g + 6440000. Let l be z(0). Round l to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402\/108 + -4 - 2\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + 9 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33382, 33423, 33428, 33397, 33330?\n\"Answer: -18*w**2 + 95*w + 33305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 2?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 950, 0.2, 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00578506206 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from xrxrrx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5957 + -5952. Solve w = -n - 1 - 3, z*n + w = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/10*4\/2. Let f(c) = 67*c. Let j be f(0). Solve -4*b + o - 15 = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a + 2*a + (-2 - 3 + 16)*(5 - a - 5).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 34*t**2 + 30*t - 89. Let j be x(-33). Solve j - 19 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 + 2*r**2 - 5*r - 2. Let o(z) be the third derivative of -z**6\/20 + z**5\/12 - 5*z**4\/12 - 5*z**3\/6 - 812*z**2. Calculate 2*o(d) - 5*w(d).\nAnswer: 3*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14276 = -7*u + 22*u - 190481. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100000 + 1111111110001?\nAnswer: 10001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1826*t + 22. Let v(m) = 87*m - 1. Let o(g) = 4*n(g) + 88*v(g). Let k(w) = -25*w. What is k(o(p))?\nAnswer: -8800*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1786 = -3*n + 5*m, 1337 = 3*n - 5*m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -599992 or -599987?\nAnswer: -599987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334423 * 0.1.\nAnswer: -33442.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/36*(-54)\/630\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-2)*84990\/407952.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238.024 + -0.024. Let p = 238 - c. Let g = -4.8 - 0.2. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/8525?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262892167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 24. Calculate the highest common factor of 90 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 12*f + 12. Let o be s(-1). Let h(x) = -3*x + 2. Determine h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 4*v + 2. Let q be i(-2). Let a = q - 4. Suppose -a*o + 32 = 4*b - 6, -2*o = -2*b + 10. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 2*g + 58925202 = -18*o, 0 = -2*o - 4*g + 58925198. Let t be (13046458\/3)\/(6\/63). Let u = t - o. Round u to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -69 (b) 0.136 (c) -0.4 (d) -4 (e) -0.0642 (f) 0.5 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082417827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1359*c + 911789. Give y(671).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2026008 and 111\/20734.\nAnswer: 14182056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18900)\/(-3375)*-1*10\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2133 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/438404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (500179*m - 500179*m + 671*m**3)*(1 + 3 - 3) in the form n*m + w + i*m**2 + c*m**3 and give c.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/7 in -54, -4, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 - 6*w + 45. Let g be o(7). Suppose -g*c + c - 4*n = -704, 0 = 5*c - n - 1716. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17 - 18 - 5*p**2 + 24*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/40210 and -139\/150.\nAnswer: 603150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460338149.\nAnswer: 460338149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m**(1\/5)*m*m**3*m*m\/(m**(-1\/3)*m*m) assuming m is positive.\nAnswer: m**(257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 2*q + 2*q**2 + 3*q.\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*k**2 - 2*b**3*k - 4*b**3 - 13*b**2 - 3*b*k**2 - 26*k**2 - k wrt k?\nAnswer: 6*b**3 - 6*b - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o**2 + 3. Let x(z) = 296163*z. What is x(w(m))?\nAnswer: 3257793*m**2 + 888489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 22 + 88. What is the units digit of 6\/33 + 4 + (-3450)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-825)\/(-650))*-1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8622 by -958.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6941*a + 83247. Calculate l(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {r: 3, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/36)\/(26\/508) + (-470)\/47?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 880686448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8137 and 8015?\nAnswer: 65218055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + l**2 + 4*l + 2. Let p(q) = -q**3 + q. What is a(b) - 4*p(b)?\nAnswer: b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/((-4)\/(-40)). Let c be (2 + p\/(-3))\/(-1). Suppose -25 = m - 6*m + 5*x, -11 = -3*m + 2*x. Is m equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 176, 431, 806, 1331, 2036, 2951?\n\"Answer: 5*t**3 + 30*t**2 + 130*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*-10 + 0. Suppose 0 = 5*z + 5 + u. Let d = 1 + z. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (2 + 0 - 3). Suppose -4*j = -c - 4, -3*j - 2 = 2*c - 16. What is the smallest value in g, 5, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.067 - 0.067. Let o = 35.000027 - y. Round o to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26075 = -1490*o - 6530 - 18055 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-2 + -3 + -2)**2.\nAnswer: 220*sqrt(7) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsp when three letters picked without replacement from tppbs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 + i**3)*(2*i + i - 2*i) + 2*i**4 - 3*i**4 + 3*i**4.\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 142, 277, 408, 535, 658?\n\"Answer: -2*u**2 + 141*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63026313.\nAnswer: 3, 7, 3001253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269 - 1399 - 1093)*(0 + 2 - 1)*(-2*z + 5*z - 5*z).\nAnswer: 4446*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**4\/12 + g**3 + 30*g**2. Calculate c(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:22 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 259, 401, 547, 697, 851?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2990*j**2 + 261*j - 261. Does 43 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0555 + 0.0555. What is the closest to t in -1\/4, 0.08, -1\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -258, -535, -830, -1143, -1474, -1823, -2190?\n\"Answer: -9*n**2 - 250*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 43453?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 19*w**2 + 5*w - 3. Let q(n) = -37*n**2 - 8*n + 7. Give 5*a(u) + 2*q(u).\nAnswer: 21*u**2 + 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -19. Calculate the smallest common multiple of -1 + 9 + (-1 - -2) and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (6 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 487*s - 3576 - 1781 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 19}. What is prob of picking 1 i and 2 f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -604, -1311, -2018, -2725, -3432, -4139?\n\"Answer: -707*y + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 2.2. Let k = -53 + 48.4. Let n = k - -4. Sort -0.5, g, n in descending order.\nAnswer: g, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 7. Let q be a(-6). Suppose 0 = -0*x + 2*x + 2, 2*x + 46 = -4*h. Let n = h + q. Solve n = -2*p + 4*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -10 + -17 + 73 + -55\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 697, 2, -4 in descending order.\nAnswer: 697, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dddb (base 14) in base 15?\nAnswer: 24230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -783.7845401 to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 39*f**2 + 65*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = x, 2*x - 6 = w - 18. Suppose w*h + 3*t - 78 = 73, -4*t = h - 54. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + j**2 + 2*j**2 + (-j + 0*j + 0*j)*(0*j + 2*j - 3*j) + 3*j + 2*j**2 - 3*j - j**2 + 3 - 3 + (-j + 0*j - 2*j)*(-3*j - 4*j + 6*j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 - 50 = -6*k. Let v = k - 250\/3. Which is bigger: -2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. What is the highest common divisor of h and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1343 and 9469.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 divided by -25739.\nAnswer: -107\/25739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m - w, m + 4*w = 3*m - 30. Let i(c) = 2*c**4 - 9*c**3 - 9*c**2 + 2*c - 5. Let d(y) = y**4 + y - 1. Let q(x) = m*d(x) - i(x). Factor q(v).\nAnswer: 3*v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 766\/(-12) - -1 - -1. Let u = v - -62. What is the nearest to 3 in -0.3, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 127030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t. Let z(s) = -s - 1. Let n(r) be the second derivative of -2*r**3\/3 - 3*r**2 - 3*r. Let k(x) = -n(x) + 6*z(x). Determine k(p(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwrzwrniwwwnii. What is prob of picking 2 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*p - p - 880, -2*p + 1086 = 5*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*((-9)\/6)\/(-3))\/(230\/((-5520)\/396))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -189197 times 0.5?\nAnswer: -94598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Let s(l) = -l**3 - 69*l**2 - 176*l + 1458. Let g be s(-66). Suppose y = -4*h + 2*y + 13, 3*h = 4*y + 26. Solve -t + h = v, 4*z + 4 = t - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171696 divided by -4088?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -0.023. Let u = 0.463 + n. Which is the nearest to 0? (a) -2\/5 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 220*b. Let g(p) = -3*p. Give g(f(n)).\nAnswer: -660*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273.3 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:16 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 + 38*y**2 - 128*y + 88 = 0.\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 12*n**2 + 12*n + 7. Let y be u(11). Let t = y - 9. Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 5*s + 2728 = 19*j, -1824 = -2*j - 2*s. Calculate the highest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4392 - -4425. Let k(s) = -4*s + 125. What is k(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 5*p. Let v = -19 - -29. Let w be v\/14 + 2\/7. Is w less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -5*p + 72. Let a(f) = -84*f - 1. What is the remainder when a(-1) is divided by p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-159)\/106*(-33 + 1*-1). Suppose -l = -15*b + 12*b. What is the remainder when 81 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s + 343. Determine h(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55925004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*f = -5, -5*t + 46 - 3 = -2*f. Solve -t*u + 240 = -87*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i**3 - 31237*i - 7143704 with respect to i.\nAnswer: 27*i**2 - 31237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:13 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/154 + -1\/154. Suppose b = -4*b + 30. Suppose -2*s = -5*s - b. What is the biggest value in k, s, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 17*c + 22. Determine p(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 + 252.94. Let n = i + 1.06. Which is the nearest to n? (a) 0.5 (b) 4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {a: 2, t: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(100\/(1 + 3)). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1020, 1026, 1036, 1050, 1068?\n\"Answer: 2*o**2 + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 + 100010001?\nAnswer: 10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 - 443*l**2\/6 - 10109*l\/6 - 18755\/2.\nAnswer: (l - 465)*(l + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by -25\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 + 3*x - 1. Let p be g(3). Suppose -p*o = -97*o - 1215. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/48)\/(280\/(-16) + -23 + 27)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 10. Suppose -11*j + 14*j - 27 = 0. What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18988, -75908, -170766, -303556, -474272, -682908?\nAnswer: -929458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/150)\/(1\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650773 to the power of 1\/2, to the nearest integer?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - 3*m + 13 - 15. What is j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.83121 - -0.16879. Let b = -7 - -7. What is the nearest to b in 4, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3088*q - 110141 - 38876 = 3164*q - 1445*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1187901 or 1187898?\nAnswer: 1187898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/11 - 44996\/(-308).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31043334?\nAnswer: 2, 3, 7, 43, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -814 - 1711*z - 954 - 542 - 4 - 1904*z with respect to z.\nAnswer: -3615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280000 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 0.01, 0.41, -0.1, -4\/983?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674754 - 64302 - 51444 = -204*k. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, t: 2, r: 2, z: 1}. What is prob of sequence hzt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -175285494912+4\nAnswer: -175285494908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*l - 12. Solve -z - l = 2*v + 6, 5*z = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2.5.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 9*f + 75 = 0. Let s = f + 7. What is the units digit of s\/(-32) - (-31)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(-6*(-7)\/1400*10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 12 - 4)*(-2 + 4 - 1 - 7*u**3) - u**3 - 3*u**3 + u**3.\nAnswer: -17*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r**2 - 6*r + 31. Let q(h) = 31*h**2 - 13*h + 63. Let z(v) = 13*f(v) - 6*q(v). List the prime factors of z(-6).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69859161 and 46572774?\nAnswer: 139718322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (8 - 1 - 14) - (-18 + 7 + 11).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1005 = -2*t, 3*j + 553 = t - 51. Let v be 15\/35 + 234\/j. Let u = v + -1337\/116. What is the common denominator of -26 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444393546 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 22 + -32 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3063*3.055.\nAnswer: -0.9357465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564\/63 - (-4)\/(-14) - 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2309675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 23. Suppose -g = 4*d, -2*r - 3*r + 44 = 2*d. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 103*m**2 - 123*m + 67. Give k(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 2*a - 8. Let t be g(6). Let z be (-3 + -2)*-1*1. What is the units digit of (-10)\/t*(-8)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/72)\/(146\/10512).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 - 9*o + 1. Let y be k(8). Does 6 divide (-5 + y)*28\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-6*-5)\/((sqrt(60)\/sqrt(4)*-6)\/sqrt(3)).\nAnswer: -50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/3 - 2. Let o be (6\/(-14))\/(4\/7). Which is the second biggest value? (a) q (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 + 5*x**4 + 31*x**3\/2 + 13*x**2 - 14*x - 20.\nAnswer: (x - 1)*(x + 2)**3*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 - 2.75. Let h = 3 + p. Let v = -0.1 - 0. Which is the closest to h? (a) 2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800\/3 - (132\/(-18) - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3814717*t - 4. Let x(u) = -3*u. What is x(o(d))?\nAnswer: -11444151*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 205290447 divided by 2?\nAnswer: 205290447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmsqsquumuuu. What is prob of sequence uqu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 96936.\nAnswer: -1\/96936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let x be (2 - 14 - -2) + p. Let i = x + 17. Solve c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 36*f**2 - 129*f - 90.\nAnswer: 3*(f - 15)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*c**5 + 226*c + 3 wrt c?\nAnswer: 4820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 893393, 894507, 895621, 896735?\nAnswer: 897849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.78197 centuries?\nAnswer: 78.197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuftkk. Give prob of picking 1 f, 1 t, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85667.\nAnswer: 85667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-51)*425\/20925*9?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5))\/((-84)\/(-392)*(-4)\/(-10))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3 + h**2\/2 + 6. What is the second derivative of m(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - g - 16, -547 = -4*g - 551 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (4577 + -4608).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 8*z + 6. Let t be j(6). Let b = -1 - t. Suppose -5*v - b = -20. Solve 0 = -4*s - 3*l - v, -2*s - 3*s - 3*l - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2221254659 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 3. Suppose 6*w + 4744 = 1438. Let u = w + 539. Give j(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100212212?\nAnswer: 100220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/39678 and -11\/3227144.\nAnswer: 9681432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(3 + (2 - 3)). Let i(t) be the second derivative of t**3\/6 + 3*t**2\/2 + 9*t. Let r be i(h). Solve -r + 0 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/40 and 69\/22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l - 17. Let a be y(4). Solve -6*p = -3*p + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 2. Let d be l(2). Let b = -26 - d. Is -11 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-60)\/1530). Put -5, 1, 3, b in increasing order.\nAnswer: -5, 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 68. Suppose 4 = -5*h - 2*f + m, 5*f - 34 = -2*h. Calculate the remainder when 22 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 6*t**2 - 596*t + 676*t)*(0*t**3 + t**3 + t**3) - 2*t**5 - t**5 + 0*t**5.\nAnswer: -5*t**5 + 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -10 - 4 - (-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-2*(5 - (-45)\/(-10)). Calculate the remainder when 129 is divided by 0 - (-35 + k\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*v + 108, 4*v + 110 = 3*d - 0*d. Let j(i) = i**3 + 6*i**2 - 2*i. Let o be j(-6). Let l = d - o. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n - 16, 0 = 3*i - 3*n. Solve i*b = -86 + 90 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*k - 1253*k - 23 = -2*s, 106 = 2*k + 7*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1337 - -1343. Suppose -4*f = 1 - 9. Let h be (-1 + 0)\/(f\/(-8)). Solve -y = -h*y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 72. Suppose -5*b + 27 = z. Suppose 3*r - b*l - 256 = -8*l, 0 = 2*r + 2*l - 176. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i\/(i**(-13\/5)\/i)*i)*i)\/i**0)\/(i*i*i**(-2\/3))**(-2\/31))**25 assuming i is positive.\nAnswer: i**(-8170\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 + 5*l + 6. Let y(f) = -7*f**2 - 4*f - 5. Let d(g) = -4*w(g) - 5*y(g). Let z be 2\/6 + (-28)\/(-42). Determine d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 115 + 28. Calculate the remainder when 114 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211 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: Determine t, given that -4*t**2 + 5\/2*t**3 - 1\/2*t**4 + 0 + 2*t = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8890 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*x**2 + 181*x**2 + 67*x**2 - 2*x**2 - 3*x**2 + 3*x**2 + (1 + x - 1)*(3 + x - 3) in the form i*x + q + z*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from ppptptpttp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3025141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133608*t + 133625*t - 197 + 588 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -b - 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 2*m - 30 + 10*m**2 + 36 + 3*m to w*m + t + q*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495876 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -5099970. Let z(g) = g**2 - 7*g + 9. Let h be z(3). Let j be h\/(-5) - b\/(-10). What is j rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518408 + 530162 = 194*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*q - 840 + 840)*(q**2 - q**3 + 1 - q**2) as m + c*q**3 + v*q**2 + u*q + p*q**4 and give u.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmejjhgejmmehgnm. Give prob of picking 1 j, 2 h, and 1 e.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 44 = -40*j. Suppose 0*x - j = -x + 5*l, -x - l + 44 = 0. Which is bigger: 47 or x?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = 16*c + 93 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181352, -181344, -181336?\nAnswer: -181328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 3*o**2 - 5*o - 2. Let l(s) = -s**3 + s**2 - 2*s - 1. Determine -4*i(r) + 10*l(r).\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r = -119*r - 147*r - 6401 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:02 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628297305?\nAnswer: 3, 5, 17, 31, 79481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4982579, -9965158, -14947737, -19930316?\n\"Answer: -4982579*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (28 - -7)\/(3\/42) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*h + 142*h - 302*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -29*x**5\/20 - x**4\/12 + 5*x**2\/2 - x - 10. Find the first derivative of a(q) wrt q.\nAnswer: -87*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138489 to the power of 1\/2, to the nearest integer?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/28*(1 + 13). Suppose -3*z + 6*z = n. Let q(h) = h - 3. What is the smallest common multiple of z and q(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8 + 570\/(-24). Let h be -2*6\/(4 - -8) - 23. Is h greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 0*m + 248 = -g*m. Let o = m - -278. Calculate the greatest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 7, 16, 29, 46, 67?\n\"Answer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 2. Let j be t(8). Suppose 2*z - j*h - 70 = -h, -117 = -5*z - 2*h. Solve z = -w + 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17 = 2*n, 0*t - 4*n = -3*t + 5. Suppose -t*u + 2*k - 4*k - 184 = 0, 2*u + k = -122. Let j be 24\/u + 93\/(-5). Is j smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 176\/(-2) + 1 + 0. Let q = -21 - w. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -5 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -3. Suppose 0 = -m + 12*m - 165. Let f = m + 7. Calculate the lowest common multiple of f and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) - 76\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691388 is divided by 172?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Suppose 5*d = 3*j - 8 - 46, 0 = j + o*d - 18. Calculate the highest common divisor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2. Let p(o) = 135*o**2. Calculate y(p(l)).\nAnswer: -91125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 5 + 6*f - 5 - 32*f + 14*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 + 48*r**3 - 273*r**2 - 2802*r + 3024 = 0 for r.\nAnswer: -18, -7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 - 1060*h**2 + 2136*h = 0 for h.\nAnswer: -267, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250106 a multiple of 1137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -20. What is u in 3\/2*u**4 + 0 + 3\/4*u + 15\/4*u**a + 3*u**2 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7 + 7 + 1 + w. Let q be i(0). Suppose -q = -3*g + 9. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -5, -1\/71, -0.1?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 13*w - 10. Suppose 11 = 3*m + 47. Give l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 + -220 + 129 - (0 - (2 + -20))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.878*-0.2.\nAnswer: -7.5756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 take away 14?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 21*r + 30. Let i be s(12). Suppose -274*l = -i*l + 184. Solve 0 = -5*m + n - 1 + 2, 0 = 3*m + 5*n - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1406 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-30) + 24\/(-18). What is the nearest to w in 0.5, -7, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) - ((-291)\/(-117) - 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose -r - 14 = -3*u - 3, -k*u + 23 = 2*r. Suppose r*n = 5*n + 6. Are n and -6 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 18*y + 115. Let i(b) = 3*b**2. Calculate d(i(t)).\nAnswer: 54*t**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644257239?\nAnswer: 3, 1123, 191231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.05 (c) 7 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -121*o - 1324. Calculate the remainder when 180 is divided by y(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.31, 2, 7\/8?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/9*(-2 + -16). Let g be (6\/5)\/(18\/i). Solve -3*j + g*s + 6 = s, -4*j + 11 = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 4, 282, -1\/2, -0.1, -2\/3 in decreasing order.\nAnswer: 282, 4, -0.1, -1\/6, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 31. Calculate i(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/13, 1.5, 0.182, -5, 2 in descending order.\nAnswer: 2, 1.5, 0.182, 1\/13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19516, -19519, -19522, -19525, -19528?\nAnswer: -19531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 + 310 = 2*f - z, -f + 5*z = -536. What is the remainder when f is divided by 201?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + f**3 + 2*f + (4*f - 4*f + f)*(8683*f**2 + 7022465 - 7022465).\nAnswer: 8684*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*l + 5. What is the second smallest value in 5, 0.3, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2\/1013 (c) 237 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-35)*45\/36?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -254, -259, -292, -359, -466?\n\"Answer: -d**3 - 8*d**2 + 26*d - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -3?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1271438 by 2.\nAnswer: 635719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646426.\nAnswer: 2, 11, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16424784\/149435 + 13252\/121. Let a = 2\/247 - d. Determine c so that -a*c**3 + 6\/5*c + 4\/5 + 0*c**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 251246782*q - 19920234?\nAnswer: 251246782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2553*k + 7668. Let x be m(-3). Which is the nearest to 2\/11? (a) -5 (b) x (c) -1\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8 (base 14) in base 5?\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/578 + -22223\/3468. Find the common denominator of 105\/22 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 200, 166, 64, -142, -488, -1010?\n\"Answer: -6*s**3 + 2*s**2 + 2*s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 953995699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, 2, -34 in descending order.\nAnswer: 5, 2, 1, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 164 - 44. Suppose h*i - 5190 = 24*i. Is i a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1913092.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -28 - 16. Let b(o) = -26*o**3 + 6*o**2 - o - 5. Is b(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*l + l + 20, -4*l - 3*z + 60 = 0. Suppose 0 = -2*g - l + 36. Differentiate 16 - 3 - 10 + 12 - g*v**2 with respect to v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/20*2 + -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 38502810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 4, 3, -69.\nAnswer: -69, -13, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1db (base 14) in base 12?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -60, -609?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -39*c + 4018. Let r be d(103). What is the nearest to r in 0.5, -3\/2, 0.3, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 2. Let y be s(-2). Suppose -3*v - 117 = -4*t, 0*v - 34 = -t - y*v. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*v - 12164 = 0, -53*v + 55*v = 4. Is x a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2443 by 22483.\nAnswer: 2443\/22483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 17. Solve 0*n - 4*n + a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12380141?\nAnswer: 23, 538267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-4 + 7)\/(-3)) - -5. Let v(w) = 16*w - 88. Let x be v(n). What is the greatest common divisor of 104 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 11) in base 4?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977407.\nAnswer: 977407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76639337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -3*k + 0*k**3 + 0*k**5 + 0*k**4 - 21*k**2 + 18 - 6\/5*k**6. Differentiate m(o) with respect to o.\nAnswer: -144*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252543728.\nAnswer: 2, 53, 297811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Let q(o) be the first derivative of o**2\/2 + o - 3294. Let z(m) = m + 4. Give f*q(y) + z(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9)*220\/(-700)*21*(-10)\/(-12)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 8*h + 6. Let u(l) = 2*l + 6. Let y be u(-6). Let j be w(y). Let g(z) = 0 + 12*z - 5 - 13*z. What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.05, 4.34, -3\/4, -5.1, -2, -1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1386 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 1191*o**2 - 191999*o - 190809.\nAnswer: -(o + 1)*(o + 191)*(o + 999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 141302 = -39*c + 37*c, -4 = g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456893 divided by 5?\nAnswer: 1456893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 70530?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*-3)\/(sqrt(2) - (3*sqrt(242) + sqrt(242))).\nAnswer: 12*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20966, 20967, 20968?\n\"Answer: o + 20965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + 10\/(-4). Let t be (-48)\/28 + o\/7. Let d(i) = -4*i - 1 + 2*i + 0*i. Determine d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or 7151835?\nAnswer: 7151835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 4961?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 501386.6 micrometers?\nAnswer: 50.13866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1\/5, -0.5, -187, -286.4.\nAnswer: -286.4, -187, -4\/7, -0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, -5, -1644, -4, -8, 5 in descending order.\nAnswer: 42, 5, 4, -4, -5, -8, -1644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 7971*r**2\/5 - 5354013*r\/5 + 15705369.\nAnswer: -3*(r - 1321)**2*(r - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -9. Solve k + 0*k - z = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = -4*g - 63 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y - 25*y + 861 = 81 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*y - 71*y - 40*y - 35*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 100853 - 33817. Suppose -12710 = -2*u + c. Suppose -4*z - u = -38044. What is z rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 9. Let l be h(-7). Suppose -3*g + 32 = l. Solve 4*n + g = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (135\/(-10))\/(-9))*2. Solve -n - 3 = 5*v + 2*n, 0 = -v - z*n + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.057 + -2.243. Let q = 2 + z. Let u = q + 0.7. Is u at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 5*z. Suppose -n + 15 = -z*n. Sort 3, 0, n in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -58*s + 18. Let n be i(-9). Suppose 2*a = 4*p - n, 5*p - 2*a - 657 = -4*a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4405?\nAnswer: -13215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125b5b12 + 7?\nAnswer: 125b5b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/20 + x**4\/6 + 1588*x**2. Let w(f) = 2*f + 4. Give p(w(n)).\nAnswer: 12*n**2 + 56*n + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1162 - -1161. Let i = 11 - 1. Which is the nearest to h? (a) i (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 275*t**3 - 118. Let a(d) = -6050*d**3 + 2595. Let j be 2*(5 + 0 + -4). Let o(z) = j*a(z) + 45*p(z). Differentiate o(x) wrt x.\nAnswer: 825*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 690\/1 + (0 - 5). Suppose -w = 9*f + 1061. Let t = 301 + f. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/3757435 and -26\/186905?\nAnswer: 108965615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 799 = -23*l + 4*l + 780. Sort 0.2, -2, l in descending order.\nAnswer: 0.2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -114. Let a(s) be the second derivative of 21\/20*s**5 - 2*s**4 + 0 - 2*s**u + 0*s**2 + 1\/2*s**6 - s. Let a(b) = 0. Calculate b.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 111*r + 258 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3789321615 from 1.16365.\nAnswer: 3789321616.16365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31057091?\nAnswer: 13, 641, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 516*h**2\/5 - 4274*h\/5 - 4788\/5.\nAnswer: 2*(h - 9)*(h + 1)*(h + 266)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 61.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2. Let y(o) = -44*o - 1. Let t(u) = 3*u. Let h(p) = 4*t(p) - y(p). Determine j(h(a)).\nAnswer: 9408*a**2 + 336*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 34*p - 284. Let g be u(21). What is the third smallest value in 3\/5, g, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1076*n**3 + 21652*n - 21651*n - 1138*n**3 + (-3*n**2 + 1 - 1)*(n - 4 + 4) to the form h*n**3 + r + d*n**2 + i*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + b + 1, -3737*z + 5 = -3738*z + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c**2 + 0*c**3 - c**3 - 2*c - 31 + 4 - 63*c**2 as a*c + h + x*c**3 + d*c**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i - 2*i + 4*i)*(-i - 2*i + 4*i) + (2*i + i - 4*i)*(3*i - 4*i - 7*i))*(-1 + 7 - 1).\nAnswer: 70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 598390 and 80.\nAnswer: 4787120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1715*u**4 + 3*u**2 - 281*u?\nAnswer: 41160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t. Let n(v) = 8*v**3 - 564*v. Give -n(u) + o(u).\nAnswer: -7*u**3 + 565*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(0*b + 2*b**4 + 0*b + (-30*b**3 - 38*b**3 + 51*b**3)*(-2*b - 3*b + 4*b)).\nAnswer: -57*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s**2 - 6*s - 4. Let d(v) = 2*v**2 - v + 1. Give 2*d(t) + f(t).\nAnswer: -27*t**2 - 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8*c + 21*c - 18*c)*(-7 - 11*c - 3*c - 2*c**2 + 15*c).\nAnswer: -22*c**3 + 7*c**2 - 75*c - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -170537, -341076, -511617, -682160, -852705, -1023252, -1193801?\n\"Answer: -v**2 - 170536*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -41. Suppose 6*p - 9 - 39 = w. Calculate the least common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 6*j = -13*j - 49 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30792.94 decades to years.\nAnswer: 307929.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207c (base 15) to base 8.\nAnswer: 15323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3\/h)\/(h*h**2*h))\/((h**(-8)*h)\/(((h**(-2\/15)\/h)\/h)\/h)))\/((((h**(-2\/3)*h)\/h)\/h)\/(h*(h**(-5\/3)\/h)\/h*h))**28 assuming h is positive.\nAnswer: h**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9))**41 assuming p is positive.\nAnswer: p**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3540 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.99999272 - 55. Round r to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111654 or -111653?\nAnswer: -111653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -137, -4, -6, 233, -7.\nAnswer: -137, -7, -6, -4, 3, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, -5\/143, 4\/251?\nAnswer: -5\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6917865, 6917872, 6917885, 6917904, 6917929, 6917960?\nAnswer: 6917997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 79 - v - 82 - 3*v**2)*((-3*v + 3*v + 2*v)*(-3 + 0 + 4) + 0 + 2*v + 0).\nAnswer: -12*v**3 - 4*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 + 2*q**2 - 2 - 5*q**2 + 1 as m*q**2 + c*q**4 + f*q + b*q**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543325 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/26)\/((-19)\/(-532)*-35).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t - 3*t)*(-2*t - 3*t + 4*t)*(383 + 395 - 901) - 2*t**2 + 4 + 3 - 5 to g + r*t + c*t**2 and give c.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 56 = 4*d + y, -5*y = -4*d + 120. Suppose -3*w + 7 + 8 = 2*v, d = 3*v + 2*w. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95076960, -95076954, -95076948, -95076942, -95076936?\nAnswer: -95076930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(2\/(20\/6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1664, -15228, -52046, -123746, -241956?\n\"Answer: -1938*k**3 + k**2 - k + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*v = -2*n + 902, 6 = 2*n. Is v at most as big as -448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6)*(q\/q**(-1\/2))\/q*q*q*q*q**(-1)*q**(1\/8)\/q)\/((q*q*((q*q**(2\/7)*q*q)\/q)\/q)\/(q**(-4)*q*q))**(-2) assuming q is positive.\nAnswer: q**(1075\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 636 + 328. Let q = 368 - j. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987\/(-2658)*8*2\/(-66)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7275731.\nAnswer: 31, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1599)\/9)\/((-17589)\/1287)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*o + 3*n + 256, 5*n = o - 119. Let g = -85 + o. Let r = g - -89. Calculate the greatest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746549 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 5*t - 116 = -13*s, 0 = 2*t - 8. Let g = -26 + s. Let c be (-4 - g - 3\/6)*2. Let i(b) = -b + 1. Let a(r) = r - 2. Determine c*i(k) - 4*a(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 17*a**2 - 17*a - 15. Let z(b) = b**3 - 20*b**2 + 18*b + 29. Let k be z(19). Let w be (30\/(-25))\/((-2)\/(-10)) - k. What is x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*h**3 + 43*h - 43*h + (-4 + 2 + 0)*(5*h**3 - 3*h**3 - h**3) in the form o*h**3 + n*h + d*h**2 + g and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15)*-3*-1. Let f = -8 - -22. Let i = -13.9 + f. What is the nearest to i in 1\/5, a, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 287, 396, 673, 1190, 2019, 3232?\n\"Answer: 12*u**3 + 12*u**2 - 11*u + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**6 + 3*g**5 - 3960*g**4 + 7049390*g**2?\nAnswer: -480*g**3 + 180*g**2 - 95040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111736?\nAnswer: 2, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*r**4\/2 + 52*r**3 - 279*r**2\/2 + 2*r + 18 = 0. Calculate r.\nAnswer: -9, -1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 1144 + 744 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3373*r - 561*r + 98444 = -199628 for r.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - m**3 + 0*m**3 + 40*m**3 + 4*m**3 + 25*m**3 + (4*m - 4*m + m**2)*(0*m + m + 0*m) + 6*m**3 - 4*m**3 - m**3.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 143, 139, 133, 125, 115?\n\"Answer: -p**2 - p + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243264 + 486525 - 243261 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.299828262 rounded to 2 decimal places?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*c = -78*k + 128*c + 388, 3*k - 5*c - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -2\/3*q**3 + 1\/4*q**4 + 6 + 0*q + 0*q**2. Let o be 2\/6 - (-4)\/6. Let w(m) = -m**2 + m + 1. Calculate o*t(r) - 2*w(r).\nAnswer: r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -13. Let h = -9 + v. Find the third derivative of 4*g**3 - 4*g**2 + 8*g - 8*g - h*g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 1393249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 11833234 a multiple of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.8 times 0.07944?\nAnswer: -1.652352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 15\/4997794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 5. Suppose 4*z - z = -5*i - 5, 0 = -2*i + 2*z - 18. List the prime factors of c(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = 44 + 25. Let k(l) = -10*l**3 - 3*l**2 - 3*l. Let d(v) = 161*v**3 + 49*v**2 + 49*v. What is b*d(j) - 49*k(j)?\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-29))\/(12586\/609). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:10 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-82)\/(-8))\/((-2)\/8*1). Let r be 105\/(-175) + (y\/(-85) - 0). What is the second biggest value in r, 0.42, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 23*r**2 + 89*r - 4. Determine z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 3. Let x(b) = -2*b**2 + b - 36. Give -5*c(u) + x(u).\nAnswer: -2*u**2 + 6*u - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-3)\/(-6))\/(-1))\/(-1). Solve -1\/4*m**3 + o - 5\/4*m + m**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/6 + u**2 - 4*u. Let f be j(-2). Suppose 2*l - 42 + 14 = 4*t, -5*l + t + 25 = 0. Solve f*a = a - l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s**5 - 6187159*s**4 - 455733536572*s**3 - 1193553643396*s**2 - 607624288128*s - 86803301376 = 0. What is s?\nAnswer: -147312, -2, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/39)\/((-40)\/180))\/(9\/36)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/5*(-8800)\/165.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 c when three letters picked without replacement from {z: 5, f: 2, c: 4, s: 2, o: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 39*d + 20. Let v be h(-20). Let j = -11 + 15. What is the biggest value in j, v, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479913 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -73200. Suppose -4*t - s = -t. What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.2206 millilitres to litres.\nAnswer: 0.9052206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + j = 29, 11*j = -5*g + 9*j + 130. What is the lowest common multiple of g and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 8*z - 1. Suppose 17*n - 26*n = -306. Suppose 14*o - 50 = n. Let l(r) = -23*r**2 + 23*r + 3. Calculate o*l(x) + 17*f(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 83568660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 + 7*r**4\/12 + r**3\/6 - 5*r**2 - 2*r. Let i be w(7). What is the remainder when ((-8)\/5)\/(i\/15) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5425 and 29\/248.\nAnswer: 43400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17706429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 473209500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11911 + 11912. Let c be 9\/(-15)*(-5)\/1. Solve -5*n = -c*j + 14, w + 1 = -j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*v - 13. Let k(q) = q + 13. Let f be k(-5). Suppose f*l - 3*l = v. Let b(j) = -j**2 - j + 1. Determine b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let s be q(5). Suppose 0 = -4*l + s*l + 20. Let f be (-10)\/8*(-4)\/l. Which is the third biggest value? (a) 0 (b) 9 (c) 0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*y = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11180\/(-78))\/(-43)*-6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/34)\/(12\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525990.66 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2. Let j(o) = 6. Let b(w) = 69 - 3*w**2 + 4*w**2 - 82. Let p(c) = 6*b(c) + 13*j(c). Give 6*n(x) - 14*p(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2932187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4))\/m**(-4))\/((m\/((m**(-4\/5)\/m)\/m)*m)\/(m*m**(-4))))**(2\/83) assuming m is positive.\nAnswer: m**(-68\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 2111 = -3478. Let r = c - -1053. Does 72 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -125\/457584, -2 in increasing order.\nAnswer: -2, -125\/457584, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = -h. Let p = 187 - 183. What is the third biggest value in 4\/9, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-348)\/150 + 2)*240\/(-3). Which is the second smallest value? (a) o (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16322937 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 50*k + 25. Give f(16).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -2, -4, -1482, -15 in decreasing order.\nAnswer: -2, -4, -15, -165, -1482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135\/(-25) - 1\/(-5). Let w = g - -593\/115. Let i be (8 + 1)\/3 - 4. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3810 + 26665\/7. Let a be 0\/(-1) - (-3)\/(-15). Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 220*d - 221*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-7\/10)\/(n**(-2\/11)\/n*n**(-1)) assuming n is positive.\nAnswer: n**(317\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19241 + 19241. Let p(h) be the first derivative of 23*h + 24 + v*h**2 - 22\/3*h**3. What is the derivative of p(y) wrt y?\nAnswer: -44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 45*s + 3138. Calculate q(37).\nAnswer: 4803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -12. Let a(r) = 2*r**2 + r + 8. Let b(p) = 3*p**2 + 8. Let o(w) = c*a(w) + 3*b(w). Determine o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyzfilf. Give prob of sequence fyi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {m: 3, g: 2, h: 2, q: 4, f: 7}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8. Let g = 1882 + -11333\/6. Calculate the common denominator of g and r - 4\/(160\/89).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -2407219?\nAnswer: -2407225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 478*p**4 + 2*p**3 - 2*p**2 + 9*p + 42. Let r(l) = l**4 + l**3 - l**2 + 2*l. Let t(b) = f(b) - 2*r(b). What is the second derivative of t(s) wrt s?\nAnswer: 5712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 11513 - 11*o + 7*o - 3*o**2 + 5757 + 5756.\nAnswer: -3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -94. Let v(z) = -9*z - 5. Let b be v(t). Solve 2*h + 4 = -5*q - 11, b*h = -3*q - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19225, 38380, 57451, 76438, 95341?\n\"Answer: -42*s**2 + 19281*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -1\/11 (b) 2\/3 (c) -1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55400 divided by 25.\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172640 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.50774 kilometers in nanometers?\nAnswer: 99507740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10670430581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 + (-3 - 2 + 6)*(0 - 3 + 4))*(2 - 1 - 2)*(-7*v - 8*v + 4*v).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3170))\/(1\/(-5)). Let i = f - -612\/3487. Let n = -88 + 266\/3. Which is the smallest value? (a) i (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b = -90*b + 2*p + 48 - 20, -33*b + 859 = -p for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11312643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {t: 2, q: 2, y: 1, v: 1, w: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:00 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110560 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 3*s. Let u be n(-4). Let p(y) = 7*y - 6. Let b(z) = -8*z + 6. Let k(t) = 5*b(t) + 6*p(t). What is the remainder when 5 is divided by k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.02 - -0.02. Let x = -297 - -890\/3. Let o be 56\/63*(-3)\/(-4). Put k, -1, o, x in decreasing order.\nAnswer: o, x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -3 + 0)\/2. Suppose -152 = -4*w - v*p + 4*p, -3*p + 6 = 0. Suppose 3*l - w = -l. What is the highest common factor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**3 + 50*d**2 - 30*d + 246. What is k(10)?\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/12 + c**3\/2 - 4*c - 1. Let h(o) be the first derivative of n(o). Find the second derivative of h(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -11*g + 33*g - 888. Let t(p) = -2*p**2 + 32*p + 10. Calculate t(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1597, 3197, 4797?\n\"Answer: 1600*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = 106 + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*(-2 + (6 - -1)). Let c be (2 - 1)\/1*k. Suppose -c = -0*d - 5*d. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175286592404 + 1.2.\nAnswer: -175286592402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*(2 - 2))\/1. Let w(x) = -x - 5. Let n be w(-4). Is d equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - -2.3081. Round c to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 4*i - i)*(4*i**2 - i**2 - 4*i**2) - 44*i**3 + 3*i**3 - 6*i**3 + (0*i**2 + 0*i**2 + 3*i**2)*(0*i - i + 3*i).\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**43)**(-4\/7)*r**(-29)\/(r*r**27) assuming r is positive.\nAnswer: r**(-571\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3 + 0 + 2*u + 0*u**2 + 1\/4*u**4. Find t, given that i(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 7900000. Let v be 8\/(-28) - (-2)\/7. Let r be o(v). Round r to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1165 - -2538. Let w = d + -920. Suppose -3*t + 684 = -w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714763912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/(h*h\/(h\/(((h*h*h\/(h**0*h)*h)\/h)\/h)))*h))*h**(2\/9) assuming h is positive.\nAnswer: h**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11674171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057844 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 27 = 7*x, -34*a = x - 35*a - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 6 (c) -1.46 (d) 2 (e) -82 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2313 and 1818.\nAnswer: 467226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l*l**(4\/13))**(19\/6) assuming l is positive.\nAnswer: l**(-665\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let d(z) = z**2 + z + 4. Let r(u) = -u**2 + 2*u - 1. Let q be r(1). Let n be d(q). Sort -5\/4, g, n.\nAnswer: -5\/4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*d + 1928 = 3956 + 3482 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*x = 6*r + 14, -2 = -2*r - 3*x. Solve -r*s = 11*s - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 2\/9 (c) 1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 18*y. Let g be t(0). Solve 3*f - 20 + 5 = -3*c, 3*c - 12 = g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-10))\/(34\/(-2210)*-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -91. What is the nearest to 1 in -4, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t + 15. Let a be u(10). Calculate the greatest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:06 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-416))\/((-1)\/(-4) + -1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 368?\nAnswer: -36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -239*m + 261. Let h(v) = -111*v + 131. Give -6*a(g) + 13*h(g).\nAnswer: -9*g + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by -24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 + 40*j**3.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1071, 2687, 4303?\n\"Answer: 1616*x - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -2 - (-2)\/1. What is the third derivative of w*p**2 - 3*p**3 - 5*p**3 - 3*p**2 - 15*p**2 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from wzbtedtdebzd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38847\/8 + -4864. Let q = -4927909\/5611164 - -1\/35969. Calculate the common denominator of q and f.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -137466 (base 14) to base 6\nAnswer: -22232242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) -0.4 (d) 58 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 11*h**2 - 8 + 37*h**2 + 37*h**2. Let l be q(-8). Suppose -m + l = 4*k, -2*m = -m - 3*k - 4115. Round m to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**4 + 15*d**4 - 29*d**4 - 6*d**3 + d as b + z*d + g*d**2 + p*d**4 + f*d**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = 121*g - 721 - 771 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 24 - 18. Suppose h*k - 2*k + 2*c = -8, 5*k + 2*c = -11. Is (6 - 3)*(k + (-1086)\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3\/((-2)\/2). Let i(d) = 8*d - 9. Let j(h) = -h. Let a = 0 + 6. Let y(w) = a*j(w) + i(w). Calculate y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*k + 29920 = -1219*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 316536593285 + -5?\nAnswer: 316536593280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 2. Let s be k(-5). Suppose -8*i + 24 = -s. Let d(j) = -8*j**2 - 4*j - j**3 - j**3 - 5*j + 5 + 3*j**3. What is d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:00 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - v**3 + 6*v**3)*(3 - 2*v - 3 + (-5 + 5 - 3)*(2 + 2*v - 2)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11763 or 11756?\nAnswer: 11756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109.69 and -0.5.\nAnswer: -54.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 835*u**4\/4 + 34*u**3 + 904. What is the third derivative of k(t) wrt t?\nAnswer: 5010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from sjjjjjsj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/36 and -73\/4944.\nAnswer: 14832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11106 * -15.6.\nAnswer: -173253.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.48.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.205 - 0.195. What is the smallest value in -4, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36937369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -4186\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/130 - 5*z**4\/13 + 161*z**3\/39 - 11120*z. Factor n(a).\nAnswer: 2*a*(a - 23)*(a - 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1*(-65)\/(-260)*-24. Solve -3*b + 2*a - 5 = -2*b, 3*a = f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 8 - 8 + (17*x**2 + 71*x**2 - 5*x**2)*(63*x - 16*x - 29*x).\nAnswer: 1496*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 41, 55, 75?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648183, -648186, -648181, -648168, -648147?\nAnswer: -648118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19013 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*i - 379 - 143. Let w(m) = m + 1. Let d(j) = -5*j + 14. Let g(s) = d(s) + 4*w(s). Let f be g(i). Solve 2*r - 1 + 11 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 31. Let k = 19 - h. Let y = k + 8. Which is the biggest value? (a) 3 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -28. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7915846 nanoseconds in weeks?\nAnswer: 0.0000000000000393379375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26338*h**3 + 6*h - 3. Let g be r(7). Let l = 9991573353\/1106 - g. Let y = l + -6\/79. What is the common denominator of 5\/6 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 5*t - t**4 + 2*t**4 - 3 to k*t**4 + j*t**2 + p*t + f + d*t**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3317\/28535 - -3\/439. Let w(n) be the first derivative of 8\/39*n**3 + 4\/13*n**2 - 1\/39*n**6 - g*n**5 + 5 + 0*n - 3\/26*n**4. Find y, given that w(y) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -16 + -25 - -17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 8725821?\nAnswer: 52354926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:47 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o + 64. Suppose 0 = 4*h - u - 255, -4*h + 4*u - 86 = -326. Let i = o + h. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 + 458*x**2 - 15394*x - 15848 = 0 for x.\nAnswer: -283\/2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(2 - 1 - 3)*((-1 - 1 + 4)*(4 - 2*p - 4) - 1319 - 3*p + 13*p + 1326) to the form c*p + i and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:43 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 17*x**2 + 13*x - 28. Let n be i(22). Suppose 4*f + 2066 = -4*j + 5650, -3*j + 2*f + n = 0. Let g = -599 + j. Does 44 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*o + 85, -7*q + 5*o = -2*q - 75. Suppose 2*r = 0, 2*r + 2*r - q = -5*h. Suppose 0 = -h*j + 14 + 70. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o + 1. Let d(f) = -f**3 + 10*f**2 - f + 14. Let s = 4 - -6. Let u be d(s). Suppose 8*c - u*c - 3*b + 19 = 0, 2*c - 3 = -b. Determine x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(4\/(-5)) + 0. Calculate the remainder when 31 is divided by z\/(15\/(-9)) - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - j)*(-5106 - 2804 - 3821).\nAnswer: -23462*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c + 2*c + 3*c + 3*c + 7*c**2 + 2*c. Let x(b) be the first derivative of -b**3\/3 - 23. What is x(q(j))?\nAnswer: -49*j**4 - 14*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -1\/12*t**4 + 49 + 0*t**3 + 0*t**2 + t. Let v(d) = 8*d**2. What is 4*p(n) + v(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 5*z**3 + 6*z**2 - 1 - z**3 + 8. Let b(g) = 3*g**3 + 5*g**2 - g + 6. Let u(a) = -3*b(a) + 2*r(a). Calculate u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 14*h - 11*h)*(-3 + 2 - 1) - 582 + 231 - 100 - 2*h in the form z*h + y and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18415.24524us?\nAnswer: 0.0000000304484875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44878.962149 + -44879. Round h to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*b**4*l - 49*b**3*j - 2*b**3*l - 838*b**3 + 131446*b**2*j*l + b**2*j - 113*j*l wrt b.\nAnswer: 1056*b*l - 294*j - 12*l - 5028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5049 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 2*x - 20. What is k(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*2*2. Let w = i - 8. Let o = w + 27. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 927, 928, 929, 930, 931, 932?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 3*n - 4*n)*(21 + 36 - 46)*(2 + 2 - 5)*(0*n + 2*n - 3*n) to x*n**2 + y*n + w and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - 9*v**2\/4.\nAnswer: v**2*(v - 3)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 - -241. Let h(o) = o - 3. Let p be h(6). Which is the closest to t? (a) -4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -3*q + 3*v, 3*q + 528 - 4 = v. Let a = q + 347. What is a rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 7*d**2 - 4*d - 7. Suppose -6*y = -y - 30. Let f be h(y). Solve -5 = -f*b, 4 = -2*r - 4*b - 0*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)\/(3\/9). What are the prime factors of (-18)\/(9\/h)*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.7 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 6. Let u(m) = 3*m + 20 - 47 + 22 + m. What is -5*k(v) + 6*u(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 142437?\nAnswer: 142452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + c = 11 - 0, c - 5 = 0. Let r(b) = -b**2 + 4. Let k(q) = -q**2 + 4. What is o*k(g) + 5*r(g)?\nAnswer: g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*m - 4*m + 5*c, 0 = m + 2*c - 14. Suppose d + 8 = m*q + 37, 3*q - 237 = -5*d. What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from unnnununuunnn?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (-2 + sqrt(300))) + -1 + 3 - (-5*6*(sqrt(300) - (-2*sqrt(300) - sqrt(300))))**2.\nAnswer: -4319996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*p = 3*u - 15, -72 = -9*u - p - 47 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 347 = -5*i, -4*i - 8*s = -3*s - 294. Let t be (-4)\/(-14) + 4308\/(-84). Let u = t + i. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s - 2. Let d = -15 - -26. Let h(l) = -5*l - 1. Let b = 20 + -16. Let c be (b\/(-8) + 0)*12. Determine c*f(k) + d*h(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16793 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/(-14) - (-76 + (-49)\/7). Let v(x) = -x**3 - 4*x**2 - 4*x - 1. Let p be v(-3). Suppose -p*w + 475 = q. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-2) - (-40)\/16. Let t be -62*b\/70 - (-2)\/10. Put 5, -4, t in increasing order.\nAnswer: t, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-50) - 8\/(-40)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2 + 3*q + 5*q**2 + 0*q + 3*q wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 1. Let p(h) = h**2 + 3*h - 4. Let d be p(-4). Suppose -o = -0*v + 4*v + 6, o - v - 4 = d. Calculate t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25633054 rounded to the nearest 100000?\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*w = 9, 2*i = 7*i + 3*w - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and 3.6?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 646832285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 5, o: 2, e: 1}. Give prob of picking 1 o and 1 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -81*v**4\/4 + 3*v**3 + v**2 - 8*v - 1. Let i be g(-6). What is i rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 19 = b. Suppose 5*z - b = 19. Suppose -r + z = 3. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:57 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 96*x + 2. Let i be n(1). Suppose -4*w = -6*w + i. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0197 from -0.5.\nAnswer: -0.5197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 18, -1 in increasing order.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 + 58844*t\/5 = 0. What is t?\nAnswer: 0, 58844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 15*g**2 + 18*g + 73. What is the units digit of x(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 16*h**2 - h**3 - 3*h**3 - 26*h + 6*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from ukk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500771 and 665807?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 - 75*a**4 + 970*a**3 + 1780*a**2 - 24984*a - 48160 = 0. Calculate a.\nAnswer: -86, -4, -2, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*f**2 - 582*f**2 - 3 - 601*f**2 + 1816*f**2 - 1.\nAnswer: 18*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 24 (c) -1 (d) 15\/8 (e) 1\/140\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 5*r - 24. Suppose 5*y + 83*u - 15 = 88*u, -3*y = -5*u - r. Solve 3*a + y = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 481255950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*u + 3750 = 0, n - 1019 + 278 = 4*u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmzimsml. Give prob of sequence mm.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/4))**(-25)\/(z**6\/(z*(((z**2\/z)\/z)\/z*z*z)\/z)))**(2\/7))**(1\/10) assuming z is positive.\nAnswer: z**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -5021*f**7\/210 + 121*f**5\/60 + 5*f**3\/6 - 1783*f**2. What is the third derivative of o(q) wrt q?\nAnswer: -120504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/8 - w**3\/2 + 3*w**2\/2 - 3*w. Let j(i) be the first derivative of g(i). Differentiate j(x) with respect to x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.1. Let x = -2.02 - 5.88. Let p = -7.8 - x. Which is the biggest value? (a) -7 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 9*n**2 + 6*n + 1. Calculate the least common multiple of y(4) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(16\/768 + (-338)\/(-13728)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d + 4. Let k(v) = 19*v + 7. Determine 2*k(j) - 5*y(j).\nAnswer: -7*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 3. Let h be u(-5). Let c(z) = -z**3 - 9*z**2 - 19*z + 2. Does 9 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8284 - 292136 = 33*q + 1299*q + 2006*q for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 18*m**2 - 40*m + 20. Let b be c(20). What is the highest common factor of 380 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734819 >= 734816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 25 = -3*c, -5*w + 36 = -2*c + c. Suppose -n = -5*y - 25, w*n - 25 = 5*y + 3*n. What is the closest to 2 in -2\/13, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*d**3 - 1211*d**3 + 679*d**3.\nAnswer: -54*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2 + 5*v - 10. Let x be q(-3). What is the remainder when (x\/(0 - -4))\/2 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -3345*m**4\/8 + 94*m**3\/3 + 11*m**2 + 5*m. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 71*a**2 + 3*a**3 + 33*a**2 + 39*a**2 - a**4 in the form i*a + q*a**4 + b*a**2 + p*a**3 + f and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 477, 1114, 2007, 3156, 4561?\nAnswer: 6222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, -1\/26, 0.5 in descending order.\nAnswer: 0.5, 0.1, 0, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(16\/9))\/((-3)\/(-40)). What is the tens digit of (q\/20)\/(12\/(-11768))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85791150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 9. Let i be u(6). What is the third derivative of 5*q**2 + 24*q**3 + 4*q**2 - 46*q**i wrt q?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -129 (c) 0 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*u*y**3 + 693*u*y**2 - u - 18727*y + 1 wrt y?\nAnswer: 222*u*y + 1386*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 16, s: 2}. Give prob of picking 2 m.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t - 2*t. Let x be t - -1*(0 + 8). Suppose 4*u = 2*j - 6, -2*j + x = -0*j - 5*u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12545 is divided by 597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, j: 1}. Give prob of picking 4 v.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) + (-26)\/39. What is the smallest value in i, 1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.125 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 26*o + 6. Let b be r(6). Let m = 19 - 1. What is the greatest common divisor of m and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 + 6*t - 1. Let v(o) = 5*o**2 + 5*o - 1. Let h be 10 - 8 - (10 + 1). Let j = 12 + h. What is j*q(z) - 4*v(z)?\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -570*x - 42*x**2 - 24*x**6 + 570*x wrt x?\nAnswer: -2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**15)\/(c\/(c*c**(-22))) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9741744*h**3 - 792031*h**2 + 1?\nAnswer: -58450464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19437031 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2710 and 583060?\nAnswer: 158009260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 2077 = -169 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p - p + 2*p)*(5 + 4 - 1) + (3 + 0 - 2)*(-1 - 1 + 1)*(-20 + 35 - 14 - 22*p) in the form x + c*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 635*x + 64517. Determine o(127).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4585651, -4585676, -4585739, -4585858, -4586051, -4586336, -4586731, -4587254?\nAnswer: -4587923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) - (0 + sqrt(7))))*4*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose -o*d = -l - 49, 0 = 5*d + 4*l - 8*l - 84. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 235*g + 17. Let w be (1 - (5 + -1))*8\/(-6). Let x be y(w). Suppose 17*n = 6*n + x. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -2.6. Let q = 1 + x. What is the second smallest value in q, -0.17, 0?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -638? (a) -0.6 (b) 15 (c) -0.2 (d) 0 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2589874540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + 4*k. Let o be a(3). Let b(f) = -f**3 - 7*f**2 - 7*f - 3. Let s be b(o). Suppose -t + 156 = s*t. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/65208 and -149\/440154?\nAnswer: 1760616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 3) to base 13.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15005869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.65485 and -0.4?\nAnswer: 1.46194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5 + v + 3*v - 5*v. Suppose 2*t = -t. Let l be d(t). Solve -a + l*y - 8 = 0, 4*a - 5*y + 6 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-20) + (0 - 6\/15).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -a1c9?\nAnswer: a1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252561 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + 7*b**2 + 43*b + 53. Let t(v) = 5*v**3 - 9*v**2 - 62*v - 80. Let x(p) = -8*d(p) - 5*t(p). Solve x(w) = 0 for w.\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 16 + 74. Let t = 21 + k. Suppose -3*r = -u + 637, 2*u - t*r = -0*u + 1286. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2542)\/31 - (1 + 1). Let k = 33 + y. What is k rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 253197.57ms?\nAnswer: 4.2199595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - 1 - 3*y**3 - 5*y**2 + 2 as a + n*y**3 + g*y + w*y**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, -1360, 547, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 5:12 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383705.\nAnswer: 5, 7, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-408)\/30 + (-2)\/5. Let a be z\/(-4) - (-21)\/14. Suppose 0 = a*j - 6*j + 48. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 9, b: 8}. Give prob of picking 3 b.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 3*f = 2*x - 7, 4*x + 3*f + 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2883 and 12?\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 23650 = 5*d, -5*w - 6 + 31 = 0. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/9 + 3883*j**3 - 45417915*j**2 + 179937739737*j - 24980795436816 = 0. What is j?\nAnswer: 144, 11601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490825 divided by 98165.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11906641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20584 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -2 + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27, -5\/8, 2573, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 100, -2145043.\nAnswer: -2145043, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 - 5*w. Let g be d(-4). Solve -3*h + 20 = -g*b - 7*h, -16 = 4*b + 3*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 2306 + 2 = 0. Solve s = -75*o + 59*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1642883\/80 + 20535. What is the common denominator of k and 17\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -35*q - 14. Let h(n) = 12*n + 5. What is 17*h(l) + 6*p(l)?\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/180*(2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 85*t - 5. Let h be y(5). Calculate the least common multiple of 4 and (h\/(-8))\/(-5)*24\/9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s + 5*f, -3 = -3*s - 0*s - 3*f. Let i = s + 22. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-5 + 3 + 4)*(-13807*t**4 + 27836*t**4 - 12975*t**4).\nAnswer: -4216*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 - 120928*f**2 + 139074*f - 5 wrt f.\nAnswer: 36*f**2 - 241856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1271 + -1b?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 20. Let m be t(17). Let j(q) = 18*q**2 - 6*q + q - q**m - 25*q**2. Let b be (-29)\/5 - (-16)\/(-80). Give j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = i + 3*i. Suppose m = 2*m + 2*u - i, -m = -5*u - 44. Solve m = -r + 5*d, d - 27 = -2*r - 4*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-5) + 62\/155. Suppose -3328 - 1562 = -a*z. Which is smaller: 490 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + d**2\/2 + 5*d + 3. Suppose 0 = -s - 4*s. Let l be n(s). Which is bigger: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 4*p**2 + p + p - 2*p**2 to j*p + q*p**2 + t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1980002102 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonnoonhdtoiontdn. Give prob of sequence di.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let y(i) = 8*i - 21. Let g be y(3). Suppose d - 2*d = -5*w + 3, -3 = -g*w. Let p(v) = 0*v**2 + v**d - 3*v**2 + 19*v - 21*v. Give p(s(j)).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1625*j - 4929. Determine f(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51142651.\nAnswer: 7, 7306093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/20*(-2528)\/(-53720).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1556624822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - r**2)*(6*r - 5 + 5)*(7*r - 17*r - 4*r)*(-3 - 3 + 4).\nAnswer: 336*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -74*p - 1516. What is r(-18)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289633711?\nAnswer: 53, 5464787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/12)\/((-2)\/(-8)). Let u = b - -12. Let z be ((-65)\/(-5) + -8)*11\/1. Calculate the highest common factor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.31 - 9.31. Is 526 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (122 - 112) + (-1 - 18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -34. Let d = -87 - g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -681 (c) 0.1 (d) 0.094 (e) -1\/8 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-four fifths of a millimeter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-12))\/(6\/(-16)). Are o and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 58. Sort 0.3, 19, b in decreasing order.\nAnswer: 19, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 1330 - 622 - 632 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818434.\nAnswer: 2, 409217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 2, v: 2, x: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585618267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05828882 rounded to five dps?\nAnswer: -0.05829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65\/3 + 133\/6. Find c such that j*c**2 + 1\/2 + c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 45*b - 28. Let n be k(-12). What is the highest common divisor of 450 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.49 + 7.804. What is q rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.9 - -22. Let i = -30.1 - -44.8. Let x = i - g. Round x to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -730092b?\nAnswer: 730092e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558532.\nAnswer: 2, 3, 101, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19215, 19243, 19271, 19299?\nAnswer: 19327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -979*y**6\/20 + 2711*y**3\/3 + 12056*y**2. Differentiate w(z) wrt z.\nAnswer: -17622*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -61. Let t(f) = 26*f + 75. Let j be t(-4). Are m and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, b: 1, n: 1, m: 2, u: 1, c: 1}. Give prob of picking 2 m, 1 n, and 1 b.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 317660007 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26852 - 2298. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.129415 and 532423755.\nAnswer: 532423754.870585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018248351286 to six decimal places.\nAnswer: 0.018248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 1\/12*w**4 + 20 - 15*w + 0*w**2 + 0*w**3. Let s(x) be the first derivative of y(x). What is s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251133 and 2328?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.419788 litres in millilitres?\nAnswer: 419.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 781172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134852.\nAnswer: 2, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 209382.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 - m + 7. Let u(a) = a**3 - 3. Let f be u(2). Let v be g(f). Solve -3*o + 3 = -4*t, -4*o + t = v*t - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 36*h**2\/5 + 3481*h\/5 - 13284\/5.\nAnswer: -(h - 41)*(h - 4)*(h + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0484 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 5.74?\nAnswer: -5.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61393, 123179, 184967, 246757?\n\"Answer: a**2 + 61783*a - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 78, -3\/2 in ascending order.\nAnswer: -3\/2, 15, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 795778616 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 + 6*d + 15. Let p be f(8). Let m be p - (0 + -12 + 5). What is the fourth biggest value in -0.24, -0.3, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.06732.\nAnswer: 2.13464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -89. Suppose f = 1 + m. Solve 3*d - 2*x - 3*x = -32, -3*x = 4*d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/30 + 7*j**4\/6 + 16*j**3 - 7*j**2\/2 + 206*j. Let n(f) be the first derivative of i(f). Solve n(t) = 0 for t.\nAnswer: -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2. Let u(p) = -4488*p. Give u(r(o)).\nAnswer: 17952*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97578 or -97664?\nAnswer: -97578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 0 - 3\/4*p**3 + 1\/4*p**2 + 3\/4*p**4 - 1\/4*p**5 + 0*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (57 - 135) + 50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d - 24592 = -86*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 804683, 804682, 804681, 804680, 804679, 804678?\n\"Answer: -p + 804684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 1, 2\/11, 0.13, 0.19, 3, 0.1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4350, 17398, 39148, 69600, 108754, 156610, 213168?\nAnswer: 278428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 35*n + 1. Let m = -19 + 15. Let s(r) = r + 7. Let q be s(m). What is the remainder when h(q) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.7404 - 1.73884. Let p = 30.4 + -85.4. Let j = o + p. Round j to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(144\/6)*(-27)\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -38*v**2 + 22*v**2 + 18*v**2. Let r(n) = -2*n**2. What is l(r(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*a**2*k**3 - 30*a**2*k + 3*a**2 + a*k**3 + 2*a*k**2 + 7*k**3 + 75*k**2 wrt a.\nAnswer: -562*k**3 - 60*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 32 = -16*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 61. Suppose 5*c - 2 = t. Suppose -c*j = 16, -6*l = -11*l - 4*j - 16. Solve -3*x + l*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {u: 3, p: 1, e: 1, w: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -59 - -3 - -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 102, 191, 298, 417?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 + (-39)\/(-15). Let h(k) = -3*k + 2. Let n be h(x). Let o be 0 + 1 - (-6)\/n. Which is the third smallest value? (a) o (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*w + w**4 + 2*w**2 - 2*w**4 + 11 - 115*w in the form r*w + k*w**4 + y*w**3 + j*w**2 + f and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*m - 66, -5*q - 2*m + 3*m + 69 = 0. Solve -2*w = -n - n - q, -w + 19 = -4*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h**2 - 3*h + 13. Is 13 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18106, 32683, 47260, 61837?\nAnswer: 76414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, -107, -484, -1207, -2390?\nAnswer: -4147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -12318414?\nAnswer: -1\/6159207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115576*y + 230046*y - 114470*y - 6*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-15420\nAnswer: -6168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6635591s in microseconds?\nAnswer: 663559.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -12*s - 65. Solve 17*b = s*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and (2 - (0 - 217\/(-105)))*37?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 313046\/(-392562) - 2\/(-9). Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 2*t - 7*k, -5*t - 2*k + 29 = 0. Let v be -3 + (-10)\/5 + t. Suppose c = -2*c + 27. Solve v*o = -2*y + y + c, -18 = 2*y - 5*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 45*w**4 - 6652*w**3 - 14688*w**2 - 1808*w + 1200 = 0.\nAnswer: -2, -2\/5, 2\/9, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 23521516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14120000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v + 5 - 4\/3*v**3 + 0*v**2. Let c(h) be the third derivative of -h**5\/60 - 2*h**2. Calculate c(l(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19203448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 102428 = 4*l, 134*r + 3*l + 128083 = 139*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(6292)))**2 + (4*sqrt(6292)*-1)**2 + (-5*3*sqrt(52) - (0 + sqrt(5200))).\nAnswer: -446*sqrt(13) + 157309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-15)\/(-1))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, 1, 5, -2, 2.\nAnswer: -10, -6, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 50 = 6*z. What is the remainder when 24 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -472*(-6)\/(-1404) + (5 - 3). Let a = d - -28\/117. Factor 2\/9*u**2 + 0 + a*u.\nAnswer: 2*u*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.919 - -52. What is s rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**2 - 2*h - 1. Suppose -2*p + 6 = -4*a - 4*p, a + 4*p - 2 = 0. What are the prime factors of z(a)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/(-8)*15\/((-45)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2937538 and 114496.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 140, -1429967.\nAnswer: -1429967, -2, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 25 = 9*j. Let a be j\/3*16\/60*18. Factor 2\/5*q**4 + 8\/5*q**3 - a - 8\/5*q + 6\/5*q**2.\nAnswer: 2*(q - 1)*(q + 1)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeette. Give prob of sequence tet.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*201\/134*(-16)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2932 = -9*v + 7*j, -2*v + 5*j + 642 = 0. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 85. Solve -5*d + 1 + 2 = 2*c, 3*c + 8 = o*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 3*v**2 - 2. Let c(m) = -3 - m**2 + 2*m**2 + 2 - 2*m**2. What is -3*c(z) + f(z)?\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 4, 0 in decreasing order.\nAnswer: 4, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a9bb + -2023?\nAnswer: -30a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*l + 2*d, -3150*l = -3149*l + 3*d + 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*d - 5*p + 1, -49 = 4*d - 5*p for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 939*d**2 + 25 + 17718*d**2 - 8 in the form x + q*d + l*d**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 838*n**2 + 5*n - 2. What is the hundreds digit of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-22)\/(-14) - -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 8*u - 20. Let d be g(-10). Suppose d = 4*y, 0*q + 2*y = 5*q - 180. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1716462 and -127\/24.\nAnswer: 6865848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 620, 584, 540, 482, 404, 300, 164?\n\"Answer: -j**3 + 2*j**2 - 35*j + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*b**2\/3 + 610*b\/3 + 920.\nAnswer: 5*(b + 6)*(5*b + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-16)\/27))\/(((-4459)\/(-196))\/91)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 64 = -4*y. Is 4 a factor of (-4)\/(15\/y + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1727, -16\/3, -30, -4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 7 - 2*o - 14 - 27 to the form g + b*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 + -63 + 29 + 30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -1\/2 (b) -139 (c) 3\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/2 + 11*h**2. Let v be x(2). Calculate the smallest common multiple of (4 + v\/(-3))*35\/15 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87 - 101) + 13 + (2 - (-2 - -21))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -698080 at most -698080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 + -216. Solve j + h*q + 2 = 0, -q + 21 = -5*j - 0*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414542.1 millennia to decades.\nAnswer: 41454210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*28\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*s - 48 = -4*z, 3*z - 5*s - 50 = 0. Let j = -10 + z. Suppose 0 = 3*v + j*i - 20, -5*v = -0*v - 2*i - 23. Solve -5*m - 5 = v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 222. Let b(l) = 1694 - 844 - 850 + 3*l**2. Calculate a(b(m)).\nAnswer: -6*m**2 + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 + 27*n**2 + 18*n + 12 - 28*n**2. What is the least common multiple of o(18) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*x + 2, 0*z + 3*x + 7 = 4*z. Let l be (18\/(-30))\/(z\/(-5)). Suppose -l*s + 79 + 65 = 0. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, 4, 1.\nAnswer: -23, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -b + 5*f, 4*b - 4 - 23 = -3*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/36 and 47\/19420.\nAnswer: 174780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14132412 and -13\/112?\nAnswer: 56529648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 897868597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897132 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*t**3*y**2 + 311*l**3*t**3*y - 17*l**3*t + 21961*l*t**3*y**2 - l*t*y + 2*t**3*y wrt y?\nAnswer: -4*l**3*t**3 + 43922*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6415*z + 60. List the prime factors of x(2).\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4846.089 meters?\nAnswer: 4.846089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 734.3917ml?\nAnswer: 0.7343917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39153*b**2 - 114129*b - 9990.\nAnswer: 3*(b - 3)*(13051*b + 1110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932 or -69?\nAnswer: -932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, l: 3, e: 4}. Give prob of sequence jej.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49540 by 4.\nAnswer: -12385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 2 - 2)*(2 + 2*o - 2) - 12169*o + 12169*o + 69*o**4 - o**5.\nAnswer: -5*o**5 + 69*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164341*j - 122007?\nAnswer: -164341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20119 and 35695?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9131069 and 161?\nAnswer: 63917483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02109812, 0.02, 3, -2 in decreasing order.\nAnswer: 3, 0.02, -0.02109812, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -22, -31, -40?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5574 + -102)\/57 + (-5 + 3 - -16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -63*l + 20. Let y(g) = -8*g - 3. Calculate f(x) + 6*y(x).\nAnswer: -111*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -64*p**2. Let q(r) = -r**2. Let l(y) = -13 - 4*y**2 - 30 + 43. Let t(x) = -l(x) + 5*q(x). Give o(t(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645915 is divided by 220?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 1. Let c = 56 + -58. Determine k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13594975 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7585*s**2 - 4902*s - 4861*s + 9765*s in the form q + x*s**2 + a*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f*o*x + 16*f*o + f*x - 10*f - 23*o*x wrt x?\nAnswer: 4*f*o + f - 23*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 + -5 - (-1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z + 212. Calculate the remainder when z\/(-4)*-4*1 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y**(-1\/15)*y*y))**(-3\/14) assuming y is positive.\nAnswer: y**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 25, 19, 21, 37, 73, 135, 229?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9, -0.4, 224?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 10204523?\nAnswer: 10204523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 4) to base 14.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 12?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(-25)\/(-3150)*14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 115. Let l = 91.5 - y. Which is the closest to 0.2? (a) 5 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -745 - -745. Solve -4*d - 5*p + 10 = q, d + 2*d - 4*p + 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001368555 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 1, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6) - (-2)\/4. Let o(j) = 3*j - 4*j + q*j. Let m(n) = -2*n**2 - 7*n + 7. Let d(w) = 2*w**2 + 6*w - 6. Let b(x) = 7*d(x) + 6*m(x). Give b(o(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -757, -1042, -1307?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let t = x - -1. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -7*i**6\/60 - i**5\/30 + i**4\/24 + 18*i**2. What is c(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q - 47*q + 3116. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -7 - (12 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4*15\/12)*4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359 a factor of 853082489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -258*x + 260*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(15\/7))**(-21) assuming i is positive.\nAnswer: i**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64011*(-2)\/(-6)*(12 - 11).\nAnswer: 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.2. Let y = -1.9225 + 0.9225. Which is the nearest to l? (a) 4 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v**(-1\/3))\/(v**(-3)*v**4) assuming v is positive.\nAnswer: v**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 17*l + 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.09 - -19. Let w = 0.1646 + -0.3646. Which is the smallest value? (a) f (b) 1 (c) 0.4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*q + 30, 2*m - 29 = 5*q - 9. Let l be (-70)\/(5\/((-10)\/4)). Solve m*i + 6*d = d + l, -d = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 433.\nAnswer: -5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 414770 - 2?\nAnswer: 414767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2856\/4283 + -2\/12849. What is the nearest to l in -8, -113, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-11 + 12) - (-1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6042018227.33 and -3.7.\nAnswer: -6042018231.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -4 + (sqrt(102) + (sqrt(102) - 3*sqrt(102)*6 - sqrt(102)))\/(sqrt(6) - (sqrt(54) + sqrt(54) + (sqrt(54)*-1 - sqrt(54)))\/sqrt(9))).\nAnswer: -85*sqrt(17) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63947 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268089 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -134*d**2 + 88*d**2 + 48*d**2. Let n(u) be the third derivative of 0*u - 1\/3*u**4 + 0*u**3 - u**2 + 0. Give r(n(q)).\nAnswer: 128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10699\/143 - 7)*11 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77.61 - -6.11. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-3\/5)*g)\/g)\/g**3)\/((g*g*g**(1\/13)*g)\/g**1))\/((g\/g**0)**(4\/13)\/((g*g*g**(-1\/4))\/(g**(-4\/3)\/g))) assuming g is positive.\nAnswer: g**(-703\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= -1049\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 i when three letters picked without replacement from gddipi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d0c2 (base 14) in base 10?\nAnswer: -35842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/((u*u**2*u)\/u)*u*u)\/u*u\/(u*u*u**(4\/3)*u))\/(u**2*u)**(3\/17) assuming u is positive.\nAnswer: u**(-197\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 814559 - 814557. Factor -2\/13*u + 0 - 46\/13*u**s + 48\/13*u**3.\nAnswer: 2*u*(u - 1)*(24*u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**3\/3 + 22*x**2 + 233*x - 816. Differentiate b(g) wrt g.\nAnswer: 4*g + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -733*m*y**4 - 9*m*y**2 - 203*m*y - 1004*m + 3692*y**5 - 3*y**3 + 3*y**2 - 6 wrt y?\nAnswer: -17592*m*y + 221520*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*i + 15. Suppose -i + 98 = 5*l. Suppose 2*r + 186 = 7*r - 3*z, 0 = -r + 3*z + 42. Calculate the lowest common multiple of r and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 9. Let s be o(5). Suppose -3*m - m - 7 = n, 3*n = 3*m - s. Let r = 3196 + -28762\/9. Put 0.1, r, m, -3 in ascending order.\nAnswer: -3, m, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -56\/11, 16, 1\/9 in descending order.\nAnswer: 16, 1\/9, 0, -56\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 128688918 and -0.5.\nAnswer: 128688917.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.589 + -0.389. What is the closest to -1\/8 in x, 1, -4, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stxpsxkttkkvkkktvkk. What is prob of picking 1 p, 2 x, and 1 v?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 61, 4, -33, -4 in ascending order.\nAnswer: -33, -6, -4, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 3*q**2 - 3*q - 5. What are the prime factors of f(6)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36997, -36700, -36195, -35476, -34537?\nAnswer: -33372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000937306 rounded to 7 dps?\nAnswer: 0.0000937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -314199 (base 11) in base 14?\nAnswer: -d1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -24 + -47 + 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24552 is divided by 2454.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -51. Let t be j\/20*4\/15. What is the second biggest value in 0, 6\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -41*v - 127. Give k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 18*4\/32. Let g be 2\/(-3) - 7\/3. Which is the closest to 0.1? (a) 2\/15 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (100\/8)\/(-5)*-12. Suppose 2*o = 4*o - w. What is the remainder when 43 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let i = -51 - -33. Let g(o) = -o. Let w(x) = 4. Let j(s) = 4*g(s) + w(s). Determine i*h(p) + 4*j(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(-1 + (sqrt(192) + sqrt(192)*-2 + -1 + sqrt(192))*2*2)**2.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*h**2 - 5574\/7*h - 2228\/7.\nAnswer: -2*(h + 557)*(5*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 3 + -2)**2 - 1*(sqrt(3) - (sqrt(147))**2)*3.\nAnswer: 11*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 10*s + 17. Let f(a) = -2*a**2 - 5*a - 9. Calculate 3*b(q) + 5*f(q).\nAnswer: 2*q**2 + 5*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4206483?\nAnswer: 3, 31, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6*(-9)\/(-6). Suppose -o - 2 = -2*u - 0*u, -o + v = 0. What is the units digit of 6*2\/u*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -48. Calculate the greatest common divisor of 24 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r + 3*r**2 - 6*r)*(33 + 71 + 61)*(-3 - 1 + 2) as j + v*r + c*r**2 and give c.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -134*z + 2666. Calculate the lowest common multiple of o(7) and 120.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 5. Let j(i) = 5*i + 10. Let q be (-6)\/(-4)*48\/(-36) + 6. Give q*j(u) - 9*l(u).\nAnswer: 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0 + 0)*(64 - 26 - 117)*(3 - 2 + 0 + s**3).\nAnswer: -79*s**4 - 79*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 229266?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19581076*y**4 + 28645201*y?\nAnswer: -234972912*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210105441071 - 8.\nAnswer: -210105441079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 1271*z + 15435. Determine r(12).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1512 + 2404. Calculate the remainder when l is divided by 227.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 14. Let w be v(-4). Let t be (108 + -6)\/6 - w. Solve 5*h - t = 2*g, -12 = -h - 3*g + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**2 - 2 + 10*u - 39*u**2 - 11*u + (-3*u**2 + u**2 + 0*u**2)*(0 + 0 - 1) as f + y*u**2 + h*u and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u**3 + 226217*u**2 - 226217*u**2.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 47. Which is the closest to n? (a) 0.1 (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:21 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56141131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -7*t**6\/6 - 3*t**4 + 20*t**2 - t + 123. Find the second derivative of u(i) wrt i.\nAnswer: -140*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:24 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196310 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 40. What is the remainder when (-48843)\/(-567) - (-24)\/(-21) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/72 + -71 + (34\/(-9) - -4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from wcwgwwwweeeg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52329, -52303, -52277, -52251, -52225, -52199?\nAnswer: -52173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a - 3. Let k be b(-5). Suppose -2*i + 4*c + 14 = 2*c, -4*i + 10 = k*c. Suppose -i*j + 0 = -8. Solve -4 = j*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435722 and 124492.\nAnswer: 871444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuafuqfwqnfqnuf. What is prob of sequence uuf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534290 to the power of 1\/2, to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/351 + 200\/(-65). Sort 5, c, -2, -4 in decreasing order.\nAnswer: 5, -2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -4 (c) 0.04 (d) 0 (e) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from {p: 2, h: 4, n: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*b = 2897 - 15994 - 2453. Solve 30*r - 40*r + b = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -137, -244, -399, -620, -925?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-495)\/10)\/((-6)\/(-8)). Let j be 583\/y + (-22)\/(-2). Factor -18 - 67\/6*q**3 - 57\/2*q**2 - 36*q - j*q**4 - 1\/6*q**5.\nAnswer: -(q + 2)**2*(q + 3)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-30) + 1378\/12. What is the greatest common divisor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7397000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/20*2 - 1953\/(-90)) + -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**6*s*s**8\/s*s*(s**0\/s)**(-47))\/((s**(-1\/8)*s\/(s\/((((s**0\/s)\/s)\/s)\/s)))\/(s\/s**(-1))**(-3\/7)) assuming s is positive.\nAnswer: s**(3039\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s + 5*z - 6, -8 = 4*s + 5*z. Let j = -129\/11 + 914\/77. What is the second smallest value in s, -5, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6*g + 1360 = 0. What is the highest common divisor of g and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.154, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1599*-0.08.\nAnswer: -127.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18982588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*f - 21 + 21 to x + p*f and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1347 - -13?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -10, 1, -4 in descending order.\nAnswer: 2, 1, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 12*n + 53, 20654*n - 20655*n = 3*t + 38 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -67 + 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/d**(-1\/2)))*d*d)\/(d**(1\/5)\/d)*(d**1\/d)\/d*d**(6\/5) assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-8)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.034, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946088547.\nAnswer: 13, 19, 414679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -6. Let v = -14496 + 14495. Which is the closest to 7\/2? (a) v (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67, 53, 35, 13, -13, -43, -77?\n\"Answer: -2*c**2 - 8*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12245750 by -122.\nAnswer: 100375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 0.41 (d) 0.3 (e) 0 (f) -12\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*j = -190*j - 269*j + 12492 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1287 + -1290. Let z = -0.16 - 0.04. What is the closest to -1 in -2\/5, z, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7330712, -7330690, -7330662, -7330628, -7330588?\n\"Answer: 3*n**2 + 13*n - 7330728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - (-10 - -4 - -21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (9 + -32 + 9 - -5)) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 80. Put w, 40, -2, 4 in decreasing order.\nAnswer: 40, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11019 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - -4) + 1 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94470 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:28 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 3\/8 (b) 1\/5 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 129*p**2 + 36*p + 62. Let a(y) = -65*y**2 - 17*y - 25. What is -5*a(v) - 2*c(v)?\nAnswer: 67*v**2 + 13*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r + 3*r + (322 - 322 + 11*r)*(3 + 2 - 7))*(0*r + 0*r - 2*r) - 5*r**2 - 2*r**2 - r**2 to u*r + s + x*r**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 83*z**2 + 1. Let k(u) = 2*u. Determine g(k(r)).\nAnswer: 332*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(392) - (sqrt(392) - (sqrt(392) + sqrt(392) + sqrt(392)*3))*4))\/(((sqrt(576) - (sqrt(576)*-4 - sqrt(576))*-4) + sqrt(576))*-3).\nAnswer: -119*sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 2*o**2 - 2*o + 1. Suppose -4*j = -1 - 7. Let r be g(j). Sort 2, -5, r in increasing order.\nAnswer: -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0 + 7*y + 0*y**2 + 1\/10*y**5 - 1\/3*y**4 - y**3. Factor f(a).\nAnswer: 2*a*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1214*z - 23046. Calculate q(-17).\nAnswer: -2408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205.77 + -205.72. Let g = 145 - 1017\/7. Which is the closest to z? (a) g (b) -2 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.042 and -10841.9.\nAnswer: -10841.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 28 = -12. Suppose -s*c = -15*c + 1230. Is 41 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66899049.9 rounded to the nearest ten thousand?\nAnswer: 66900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 197.42 and -0.0088.\nAnswer: -1.737296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - 3*x - 5. Let r be j(-2). Suppose 0 = r*w - 12 - 3, 2*w = -3*l - 30. Is l greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -575 + 531 + 4 + 1 + 25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -332.59 - -331. Let a = -1.7 - n. Let y = -0.01 - a. Put -3, y, -8 in descending order.\nAnswer: y, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, o: 1}. Give prob of picking 3 h.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjb. Give prob of sequence bj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x**3 - 33*x**3 - 6 + 5*x**3 + (0 + 3 + 0)*(2 + 0 + 1)*(4 + x**3 - 4) to the form c*x**2 + d*x**3 + r*x + q and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9557.\nAnswer: 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(12*v**2 - 2*v**3 + 239435 + 2*v + 114*v**2 - 239453).\nAnswer: 4*v**3 - 252*v**2 - 4*v + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.9935 kilometers to nanometers.\nAnswer: 651993500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s - 47 = -5*y - 38*s, y = -2*s + 16. What is the smallest common multiple of y and 91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = 2*x, -2*o - x + 9 = -0*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201, -2202, -2203?\nAnswer: -2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 42, 88, 130, 162, 178?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20 - 282\/12)\/((-14)\/8). Factor 0 - 12\/7*y**x + 6\/7*y + 6\/7*y**3.\nAnswer: 6*y*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -1\/60*i**6 + 0 - 1\/40*i**5 + 7*i + 1\/12*i**3 + 1\/24*i**4 + 0*i**2. Let d(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32332 - 6\nAnswer: 32326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:52 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 16. Let u be z(4). Suppose 4*w - 57 = -25. Suppose w = -u*t + 2*t. Solve a + 5*i = -15, 5 = 4*a + t*i + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 177*h**3 + 7*h**2 + 4*h + 3. Let k be 24\/36 - 1\/(-3) - -3. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6238630 = 222*a + 43*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000306855 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -93. Let v = o - -44. Suppose 0 = 2*h - 4*s - v, 2*s = -0*h - h + 67. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 25 + 6 - 3. Let v be m(-16). Let d(w) = w**2 + w + 5. List the prime factors of d(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 13*l**2 - 20*l - 7. Let n be y(11). What is the highest common factor of n and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 3252?\nAnswer: 35772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.71 - -0.96. Let a = n + -5.25. Let j = -147\/5 + 29. What is the smallest value in a, -5\/6, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 27. Suppose 0 = s - 3*i + 11, 7 = 4*s + 2*i - 19. Put 3, w, s in descending order.\nAnswer: s, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*4*33\/(-132)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179.62 - -115.99. Let x = -3305 + 3241. Let f = x - d. Is -2\/5 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 20*q**3 + q**2 - 21*q**3 in the form t*q**2 + k*q + f*q**3 + v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 8 - (-4)\/(-6). Suppose f - 1\/3*d**2 + 0*d = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*sqrt(495)\/(sqrt(110)\/sqrt(10)))**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 9 - (-4 + 1)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*j**2 - 26*j**3 + 13*j + 24*j**2 + j - 6*j + 20*j**3 to the form x*j**2 + h*j + y + q*j**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t**(-2\/23)*t*t\/(t**8*t) assuming t is positive.\nAnswer: t**(-94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(144\/15) + 26\/12. Solve -15 = 3*i - 3*f, -4*i = -l*i + 2*f - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*a**4*m**3 - 70*a**2*m**3 - 6*a**2 wrt a?\nAnswer: 9864*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 2*j + 2. Let i(z) = -2*z**2 + 2*z - 2. Determine 2*i(v) + 3*r(v).\nAnswer: 5*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 721801638 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 1468*p**2\/7 - 2105650*p - 19632597216\/7.\nAnswer: 2*(p - 2928)*(p + 1831)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16228 and 95\/32456.\nAnswer: 32456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7435*o - 14415*o + 6650*o to u + s*o and give s.\nAnswer: -15200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 55*w**3 + 5*w**2 + 17*w - 10. Let p(t) = 83*t**3 + 8*t**2 + 26*t - 15. Give 5*p(i) - 8*x(i).\nAnswer: -25*i**3 - 6*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-9)\/c))\/c)**(-1\/4)*((c*c**11*c)\/c)**28 assuming c is positive.\nAnswer: c**(667\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 1314 - 427 - 441 - 432 + r.\nAnswer: 7*r + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6059350*n**2 - 2. Let m(i) = -i. Determine x(m(u)).\nAnswer: 6059350*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*m**3 - 32*m + 3*m**3 + 34*m - 2*m**3 to the form j + n*m + i*m**3 + w*m**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z - 332. Let o(d) = 13*d - 335. Calculate -6*n(s) + 5*o(s).\nAnswer: -s + 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 10 = -13*k. Let h be 8 + (-4)\/(0 + 2). Let o be 4\/h*(-60)\/(-8). Solve -f - k = -o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 35*w**3 - 177*w**2 - 7*w + 4. Determine y(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7340619cm?\nAnswer: 0.007340619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y + y + (-1 + 0 + 0)*(19*y - 1 - 33*y - 24*y))*(-5 - 1 + 4).\nAnswer: -70*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, x: 2, r: 4, g: 3, a: 5}. Give prob of sequence rag.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -40966112 divided by 16\nAnswer: -2560382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3*c + 4. Let d be z(-3). Suppose 5*k = -5*p + 150, 0 = -k - 9*p + 11*p + 27. Let n(o) = -14*o + 2 - 10*o - 1 + k*o. What is n(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370898 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1137 or -1133?\nAnswer: -1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 7. Suppose -j - 10 = j. Let u be c(j). Suppose -u + 3 = -5*h. Solve -w + h*a - 3*a + 2 = 0, -5*w + 2*a = -31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by -228.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2669 (base 12) to base 2\nAnswer: -1000100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/624 and -23\/272518.\nAnswer: 85025616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 - 11.89. Let t = f - -21. Let p = -6 + t. Which is the second biggest value? (a) -2\/7 (b) 1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67922 greater than or equal to 67877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720 = 55*a - 45*a. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/8 + 173*p**4\/48 + 14*p**3\/3 - 38*p**2 + 4*p - 1. Factor u(w).\nAnswer: (3*w + 1)*(5*w + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0101 and -314?\nAnswer: 313.9899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3147*d + 1561*d + 31 + 1584*d. Let f = 2 - -7. What is the units digit of c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3536393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 5*b, -2*b - 24 = 5*z - 29. Let d be -3*1\/(-6) + (-12)\/15. What is the closest to -0.2 in 3, b, 3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*m - 592, b - 98 = -3*m + 46. Suppose -5*c = -2*n - b, 60 = -c + 3*c - 2*n. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3185 by -333.\nAnswer: 3185\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*-1*((sqrt(17) + sqrt(34)\/sqrt(2)*4 - 2*(sqrt(17) + 0)) + 4 + sqrt(1700)*-1))**2.\nAnswer: -1596*sqrt(17) + 30349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/65 - ((-2462)\/5 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 9561912*l + 9561916.\nAnswer: -4*(l - 2390479)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-18)\/(-10))*-3. Let t(m) = -5*m - 9*m + g*m. Let p(l) = l**2 + 6. Let q(b) = 1. Let u(k) = p(k) - 6*q(k). Give u(t(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3680 + 14a?\nAnswer: 381a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104.2 - -96. Let b = r - -19.4. Let a = 12.27 - b. What is a rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1037*i**4 - 2*i**3 + 1191*i?\nAnswer: 12444*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 55. Let m be l(0). Let z be (44\/m)\/((-1)\/(-5)). Let h be (z\/8)\/(2\/44). Calculate the highest common factor of h and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22334 = 12*o - 15586. List the prime factors of o.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 divided by -10200?\nAnswer: -769\/10200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t + 1. Let b be o(-6). Let g(x) = 22*x + 3. Let r be g(5). Let d = r - 81. Solve -d = -5*n - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2693711*p - 2693711*p - p**2 + 3*p**2 + p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = d + 48, 6*d + 214 = d - 2*f. Let a be 2788\/(-28) + (-12)\/28. Let g = d - a. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 20*y - 8*y. Is y*8 - (-1416 - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -60 - (-1472)\/(-36) - ((-58)\/18 - -3)\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - 9) + (-2 - (-9 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:32 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18 - -1) + -1)*-1. Let k = m + -10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*h + 852 = 6807, -4*y - h + 11915 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769210?\nAnswer: 2, 5, 376921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*i**2*l**3 - 127*i**2*l**2*v**2 - 3*i**2*v + i*l**3*v**2 - 3313*i*l**3 - 2145*l**2 wrt l.\nAnswer: 54*i**2 + 6*i*v**2 - 19878*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/17, 0.4, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131737937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 8*x**2 - 5*x - 9. Let c be q(7). Suppose 0 = -c*a + 23 + 7. Suppose -2*i + a*i = 272. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-340)\/8 + 1)\/((-3)\/6). Factor -a*n + 17*n - 408 - 4*n**2 + 5*n**2 - 2*n**2 - 681.\nAnswer: -(n + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6\/45 + 17*c**5\/120 - 8*c**3\/3 + 25. Let y(d) be the third derivative of b(d). Find the second derivative of y(g) wrt g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -533*f - 3743*f + 303*f**2 - 302*f**2 to the form z*f**2 + t*f + w and give t.\nAnswer: -4276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18095453\/120 + 150794. Calculate the common denominator of 161\/360 and t.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + 0.63. Let u = -0.767 - -5.467. Let a = f - u. Is -2\/3 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = -2*h - 33, 50 = -4*h + 2*w. Let p = -5 - h. Let a be ((-8)\/30)\/(6\/p). Is a bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.915. Let a = 0.0149938 + b. Round a to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - 4. Let s be (-36)\/a - (-4)\/10. Find the second derivative of -f**4 + 2*f - 4*f**4 + 3*f**s wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 14*o**2 + 18*o**2. Let d(m) = 3*m**2 + 1. Calculate -2*d(t) - 5*s(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. What is the common denominator of -65\/22 and 62\/(-28) - o\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 32*z + 14 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**5 - 18*n**4 + 4*n**3.\nAnswer: 2*n**3*(n - 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(125\/20)*15*(-23)\/1725.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - -1*sqrt(84)))*-2)\/(1*sqrt(1728)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2623626, -5247207, -7870788?\n\"Answer: -2623581*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Suppose 0 = l + c - 5, -w*c + 8*c = 0. Solve -16 - 9 = l*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 853, 1856, 3251, 5038, 7217?\nAnswer: 9788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87968687.\nAnswer: 29, 3033403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -31*g - 560. What is v(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1585 - 862943774?\nAnswer: -862943775.1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-2 + sqrt(243)) - (sqrt(243) - (sqrt(243) + 1))*1*-4)**2.\nAnswer: -108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 8) in base 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l**3 + 61687*l - 157*l**3 + 79*l**3.\nAnswer: 3*l**3 + 61687*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4008*b - 852. Let v(t) = -t. Give v(q(o)).\nAnswer: -4008*o + 852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + (-48)\/6 + 8\/(-6). Find l such that -2\/3*l**3 + 0 + 0*l + q*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 - 2*t**3 + t**3 + (-2*t**3 + 0*t**3 + t**3)*(3 + 0 - 1) - 4*t**3 + 3*t**3 + 3*t - 2*t.\nAnswer: -4*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000180764 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42705 and 18130645.\nAnswer: 4745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k - 5*k + k)*(1705 + 4012 - 2278).\nAnswer: -20634*k - 3439","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 5*m - m + (0*m + 0*m + 4*m)*(-2 + 5 - 5).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28648 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 7*w - 3*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(252))**2 + (2 + sqrt(175))**2 + ((-2*1*sqrt(63))\/sqrt(9)*-5)**2.\nAnswer: 8*sqrt(7) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44320 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1849, 3704, 5565, 7432, 9305, 11184?\n\"Answer: 3*u**2 + 1846*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*y + 12 + 27, -51 = 3*y + 3*c. What is the tens digit of (-3)\/y + (0 - 1099\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/(-6)*(-363)\/11. Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*k + 55, 5*k - 3 - 2 = -5*v. Suppose -v*g + 565 = -737. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -10 (b) 1\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -33?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 3, o: 13}. Give prob of picking 2 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18259127 divided by 3?\nAnswer: 18259127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2200.29 + -10634.\nAnswer: -12834.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-45))\/((606\/(-2020))\/((-36)\/10))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-193 - -97) + -1 + 135?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 7809666\nAnswer: 4\/1301611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12035*p*q**3 + 18867*p*q**2 + 2 wrt q.\nAnswer: -72210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32020202032 (base 4) in base 13?\nAnswer: -9c94c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1430760 or -1430809?\nAnswer: -1430760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11353 or 11337?\nAnswer: 11353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 200*l**5 + 10290*l**4 - 41438*l**3 + 31226*l**2 + 39438*l - 43316 = 0.\nAnswer: -221\/4, -1, 7\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2615, -5414, -8375, -11486, -14735, -18110?\nAnswer: -21599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79324.11 millennia to centuries.\nAnswer: 793241.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 2*r = 4*r - 55, -3*r = -6*r - 0*r + 123 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -1289, -1930, -2561?\nAnswer: -3182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 54. Calculate the least common multiple of m and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 214*v + 4879. What is q(26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -19. Factor -4\/3*m**3 - 4\/3*m**2 + 0 + x*m - 1\/3*m**4.\nAnswer: -m**2*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 806371.5 litres?\nAnswer: 806371500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136753427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, -3, 0.4, 0.5 in descending order.\nAnswer: 35, 0.5, 0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2547869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 8. Let z be k(8). Let o = 4.1 + -4. Which is the nearest to 1\/4? (a) o (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:41 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26250? (a) -2 (b) -5 (c) 4 (d) 2\/9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*f - 7020 = 69*f. Does 78 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 29*w**2 + 63*w + 33. Let y be i(-31). Suppose 0 = 4*k - 3*k - 26. Suppose -4*g + y*g + k = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {j: 1, x: 1, b: 3, z: 3, e: 11}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7496833 is divided by 591?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/531 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -216520, -216513, -216502, -216487, -216468, -216445, -216418?\n\"Answer: 2*h**2 + h - 216523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 50*l**2 - 87*l - 1866. Determine r(-51).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 7. Let s be c(7). Suppose -5*o - 2607 - 543 = s. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7300 a factor of 2145258300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 8550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 294, 296, 298, 300?\n\"Answer: 2*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.47 + -0.34. Let r = t - -4.87. Let w = -4.6 + r. What is the biggest value in w, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 1)*(-230 - 24*z + 0*z + 227) to j*z + y and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/9 and 59\/9621066.\nAnswer: 28863198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 12*v - 5*a + 2*a + 50 + 43 = 9, 50*v - 278 = 4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 5, 0, 187, -3, 1 in ascending order.\nAnswer: -10, -3, -1, 0, 1, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/5 - -89\/20. Sort 2, g, -2 in decreasing order.\nAnswer: 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31921887, 31921885, 31921883, 31921881?\n\"Answer: -2*g + 31921889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 67 - 72 = 0. Suppose -3*l - 3*c = -105, l - 5*l + i = 5*c. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -2\/11, -1, -1.1, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 7*a**2 - 4*a - 4. Let i be f(6). Suppose -3*b = -i*b. Let s be (1 - 1)\/(0 - -2). Solve -h + b*h + 1 = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 990?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990 divided by -3?\nAnswer: 1990\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + w - 3*w - 3, -2*z + 6 = -2*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/((-2)\/(-12)). Let u(y) = 40*y - 12*y - 17*y - 1 - 12*y. Let c(k) = -7*k - 4. What is a*u(p) - c(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12666, 24592, 36518?\nAnswer: 48444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2212 + -2212. Solve -8*q - 25 - 7 = r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340665034.\nAnswer: 2, 83, 2052199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 3*h\/2 - 3\/4.\nAnswer: -3*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10239*u + 9. Let x(v) = -2*v**2. Calculate h(x(b)).\nAnswer: -20478*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373492.\nAnswer: 2, 3, 11, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 622453512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 - 3 = 0. Let d be (-1)\/((-6)\/4 - s). Solve d*v - 26 = -5*b - 2*v, 3*v = -5*b + 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 314, 8, -50, 4, 0 in decreasing order.\nAnswer: 314, 8, 4, 2, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*q - 2, -24*q + 4*g - 23 = -27*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-42) + 980\/11319. What is the nearest to -1 in 4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*k - 6, 2*y + 50 - 44 = -4*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 18, -1\/10.\nAnswer: -3, -1\/10, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5300683092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 7 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fft when three letters picked without replacement from {t: 3, u: 7, f: 4, j: 1, d: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 60*b - 118, -65*i + 187*i - 61*i - 7 = 60*i - 4*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.264*0.4\nAnswer: -0.1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -30. Let z = 0.6 + -0.4. Let g = -0.2 + z. Put k, g, 2\/3 in increasing order.\nAnswer: k, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**3 + 38*b**2 + 50*b + 18. Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 + w - 1\/3*w**3 - 1\/3*w**4 + 0*w**2. Let c(q) = 0. Calculate q.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, 0 = 3*g + 3*f - 10 - 8. Calculate the remainder when 16 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*l**2 - 12*l.\nAnswer: 2*l*(7*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/17))\/v)\/(v\/(v*((v*v**(-2\/9)*v)\/v)\/v))*v**(-2\/7)*v**3 assuming v is positive.\nAnswer: v**(2795\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0*p + 2*p - 3*p)*(3 - 3 + 4)*(0*p - p - p) in the form j*p**2 + x*p + u and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4912, 4934, 4956, 4978, 5000?\n\"Answer: 22*k + 4890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.1 (b) 3 (c) -0.1 (d) -2\/4829 (e) 577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -645, -697, -913, -1347, -2053, -3085?\nAnswer: -4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -17. Let h = f + 28. Suppose 5*r - 4 = h*u - 1, 5*u - 30 = -5*r. Solve -5 = g, -2*g - r*g = -2*v + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -t + 12 = 2*r, -3*t + 3*r = -5*t + 19. Find the second derivative of 0*j**2 - j**t - 5*j + c*j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103967062 - 347*k + 103967062.\nAnswer: -347*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4935575698.\nAnswer: 2, 19, 73, 1779227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5121605 - 5121630.67827. Let y = f + 25.82027315. Let p = y - 0.142. Round p to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a - 2. Let y(j) = -6*j**2 - 26*j - 11. Let t be (1\/(-2))\/((-4)\/(-16)). Let h(c) = t*y(c) + 11*z(c). Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1. Let m(n) = -n + 2. What is 5*d(s) - m(s)?\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = n - 18, 9*n - p - 10 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + 5 + -5. Suppose -6*u - 4*t = -u - 199, 5*u = -h*t + 197. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-1056)\/60)\/(-7 - (11 + 0)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Suppose -6637 = -9*n + 41. Let p(f) = f**2 - 742 + n. What is -6*g(l) - p(l)?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 20*h - 27. Determine i(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 27306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40208)\/1795)\/((-4)\/5). Sort o, -22, -3.\nAnswer: -22, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254912 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 2755*f**2 + 253620*f - 6379200.\nAnswer: 5*(f - 443)*(f - 60)*(f - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - (7 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 6, x: 4, g: 1, v: 1}. Give prob of sequence fax.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let d be q\/(-8) + (-2)\/16. Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6 - (-274)\/(-105) and 44\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24388?\nAnswer: 2, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114)\/(-3) + (-2)\/(-2). Let r(y) = y**3 - 35*y**2 + 7*y + 26. Is r(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/3 - 38*q**4\/3 + 68*q**3\/3 + 4*q**2\/3 - 70*q\/3 + 34\/3 = 0. Calculate q.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 342\/315*147\/(-672)*-16\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*w - 30. Let c(n) = 46*n - 20*n + 40*n - w. List the prime factors of c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5261*h + 32. Let x(i) = -10520*i - 74. Determine 7*t(o) + 3*x(o).\nAnswer: 5267*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 at least as big as 0.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Solve 3*s = -f*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 11:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = -2*s - t + 243, s + 313 = -3*t. Let i = 354 + s. What is the greatest common divisor of 56 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 4*z**2 - z - 2. Let s(r) = -9*r**3 + 9*r**2 + 2*r + 5. Let i(b) = 4 + 20*b + 19*b - 40*b. Let q be i(2). What is q*s(a) + 5*c(a)?\nAnswer: 2*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 + -2 + 0)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -51. Let m = 6 + -3. Suppose 3*x - m = -y*x. Solve 3 - x = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*7\/(-140)*8*68\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 17*l**2 - 12*l + 57. Let o be b(-16). Suppose -p - 7 = -0. Let c be (-1)\/2*7\/p. Put o, c, 5 in descending order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138633 bigger than 6138632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -847 + 7619\/9. Which is the second biggest value? (a) -220 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**2 - 2*f. Let a(k) be the second derivative of 9*k + 0 + 0*k**2 + 1\/6*k**3. Give d(a(u)).\nAnswer: -10*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178659 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3573022, -7146047, -10719072, -14292097, -17865122?\nAnswer: -21438147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - 3 + 3 + (-q**2 + 4*q**2 - 4*q**2)*(-q + 2*q - 2*q) - q**3 + 8 + 1 - 4.\nAnswer: q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 64, 107, 140, 157, 152, 119, 52?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddy when four letters picked without replacement from dbdbyddyyddbddbbdbb?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144.16 + -144. Let t = 9.36 - o. Let v = 9.2 - t. Put 0.3, v, -29 in decreasing order.\nAnswer: 0.3, v, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:03 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/7 - 1992*b**3\/7 + 30434*b**2\/7 + 105216*b\/7 + 72792\/7 = 0. Calculate b.\nAnswer: -1011, -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010111 - -101?\nAnswer: -100100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4459904341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:48 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57847\/2492 - 25\/356. Find d, given that -72\/7*d - i*d**2 - 8\/7 = 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, -53, -2, -3, 5 in descending order.\nAnswer: 36, 5, 3, -2, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -5. Let k(i) = 14*i**2 + 29*i + 73. Let t be k(-3). What is the greatest common divisor of w and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700 (base 8) to base 7.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 - 120*n - 1. Give s(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 10*f - 3*y + 32 = 2*f - 13*y, -4*y = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 63 - (0 - -9) - -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1920112.8169857 - -1920113. Let v = d - 0.183. Round v to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b - 128 = -4*x, 66 = 2*b + 4*x. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 18) + (111 - 82)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262 - -3?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c. Suppose -a - 275 = d - 0*d, c = -2*a - 3*d - 546. Let j = a + 532. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 + 1508. Let b = 3882 + f. Is (3 - 3) + (-2)\/((-6)\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 202. Let h(w) = -20*w + 123. Let p be h(c). Solve 0 = q - p*l + 9, 8*q = 3*q + 3*l + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -9, -4 in descending order.\nAnswer: 5, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -150813239\nAnswer: -10\/150813239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) 0.277 (c) -3 (d) -5 (e) 7816\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/59 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252*i + 643*i - 275*i)*(-5*i + i + 2*i)*(0*i + 2*i - i) as h*i**2 + p*i + o + a*i**3 and give a.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 515*u**2 + 15275*u + 99405 = 0 for u.\nAnswer: -47, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*9\/(-72)*14\/(-7)*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.724705 - 0.275371. Let u = -31 - i. What is u rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92380*o**2 - 92382*o**2 + o + 75 - o**3 + 93 as y*o**3 + d*o + u*o**2 + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 10 + 4*k**2 - k**2 - 2*k**2. Let n be p(-6). Find the third derivative of 13*l**2 - n*l**3 + 20*l**5 - l**3 + 3*l**3 wrt l.\nAnswer: 1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3750 + -3206. Calculate the remainder when z is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*v + 4*v. Solve -3*x - v = -17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79\/1147008 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171983217.\nAnswer: 3, 7, 61, 134257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 61*n**2 - 99*n + 1026. List the prime factors of p(12).\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -153. Let s be (-2)\/u*(17 - 11). Solve -6*c = -s*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 24*l - 22*l - 7.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/3 - n**2\/2 + 9*n. Let j be h(2). What is the tens digit of (-12)\/15 + 237\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36365750 (base 8) to base 5\nAnswer: 4021141443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 211*r - 19372. Determine o(91).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -36*k - 3. Let x be g(-6). Suppose 5*t = x - 938. Calculate the common denominator of -2 - t\/22 - 3 and -151\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 92. Suppose 0*t = -t + l*c + 19, 3*t - 3*c - 45 = 0. Let f = -3536 + 17739\/5. Is t <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -656, -1299, -1942, -2585, -3228?\nAnswer: -3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:04 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113689\/105 + -5413\/5. Let p = -1817\/11235 + s. Do p and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (1 - -11)\/3. Let x(o) = -o**2 + 5*o + 6. Let h be x(6). Let a = 3 + h. Solve -k*q - a*v - 9 = q, -v = -4*q - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369118 - -517378. Let l = s - 148231.0011. Let j = l - 29. What is j rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**2 - 14*l - 10. Let c(v) = -9*v**2 - 13*v - 8. Determine -6*c(z) + 5*k(z).\nAnswer: -z**2 + 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 149675168?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -9*a + 3. Let c be (a\/12*0)\/3. Solve 3*p + 2*p + 5 = c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161340541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/4 + 215*r**4\/24 - 115*r**3\/12 - 55*r**2\/2 - 40*r + 97. Factor u(l).\nAnswer: 5*(l - 1)*(l + 22)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 14\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45876599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 12 - 9 = 3*f, -11 = -12*s + 8*s + 5*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 312 = 3*q + 32 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 59*k + 302 + 90 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -8009113?\nAnswer: -8009089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7488*d**2*y**3 + 45*d**2 + 5*d + 36*y**4 - 10 wrt y.\nAnswer: 22464*d**2*y**2 + 144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/27522 and 65\/264.\nAnswer: 110088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvxv. Give prob of sequence vxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:58 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-126795\nAnswer: -7607.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*g - 10, 0 = 4*u - u + g - 10. Factor 2*h - u*h - 2*h**4 + 8*h**3 - 4*h**3 - 2*h**2.\nAnswer: -2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459888, 919780, 1379672, 1839564?\nAnswer: 2299456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14640189 or 29280379\/2?\nAnswer: 14640189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 + 770. Let v be n(0). Let a = -327 + v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:22 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 260 = 82*y - 72*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4965 - -9166. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:31 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -273*n**2 + 4*n + 6. Let y(g) = 410*g**2 - 7*g - 9. Let k(d) = -8*t(d) - 5*y(d). Suppose -4 = -3*i - 1. What is the hundreds digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421046.\nAnswer: 2, 210523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 8, 25, -25, 0 in descending order.\nAnswer: 25, 8, 2, 1, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*x**3 - 1029*x**3 + 141*x - 19*x - 44*x + 186*x wrt x?\nAnswer: -4302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.2, 1870?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 10 = 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -71, 14, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315560 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 2*l. Let u(t) = t**2 - t + 4. Let w be u(l). Suppose -7*z + w*z + 9 = 0. Solve 5*d - z = -3*a, 3*a + 3*d = d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 2 + 2*v**2 + 3*v**2 - 5*v**2 - v**2.\nAnswer: 10*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(0 + 4\/74)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-301))\/((-6)\/378)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 12.709.\nAnswer: -6.3545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/4, -49, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 2\/3*i**3 - 6*i + 0 + 1\/12*i**4 - i**2. Let k be t(-4). What is the second smallest value in k, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4 - -2) - 1\/1. Let z be 2\/r*5*(-12)\/15. Suppose -4 - 2 = -z*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4998)\/(-14994)*(0 - 2\/(28\/(-6)*-1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/12 + (-6 - 73\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 1. Let q(s) = -24*s + 4. Give -10*b(r) - 3*q(r).\nAnswer: -8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*k**3 - 513*k**3 + 93*k**3 + 52*k**3 - 241*k**3 - 19*k**3.\nAnswer: -1278*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**2*t**3*w**3 - 241*f**2*t**3*w**2 + 2*f*t**3*w**3 - 17*f*t**3*w + 2*f + 74*t**3 wrt f?\nAnswer: -26*t**3*w**3 - 482*t**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-72)\/8)*18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*1)\/sqrt(5))\/(-4*-2*sqrt(12)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24702 divided by 358\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57608, 58355, 60374, 64301, 70772, 80423, 93890, 111809?\nAnswer: 134816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s. Let h(w) = -3432*w**2 + 7*w - 1. What is h(f(v))?\nAnswer: -54912*v**2 + 28*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2. Let f(i) be the first derivative of i**2\/2 + 71. Give f(p(s)).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 42. Let p = r - 1. What is the nearest to 0 in p, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:28 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 23*d**5\/60 - d**4\/4 + 3*d**2 + 51. Let p(r) be the second derivative of z(r). What is the second derivative of p(m) wrt m?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 28*o**2 + 31*o - 55. Let f be j(29). What is the first derivative of 70490*i**f - 6 - 70490*i**3 + 52*i**4 wrt i?\nAnswer: 208*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 708983, 708978, 708973, 708968?\n\"Answer: -5*k + 708988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855263?\nAnswer: 3, 3618421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*w**2 - 13*w - 6.\nAnswer: (w - 1)*(19*w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 130145.5ml?\nAnswer: 130.1455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-224))\/((-48)\/(-14))*4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z*z)**(2\/35) assuming z is positive.\nAnswer: z**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 0*f**2 + 6*f**2 + f + 2*f**3 - 3*f**3 to the form j*f**3 + h*f**2 + n*f + y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71892678.\nAnswer: 2, 3, 11, 13, 83791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 1033878*y**2 - 2067750*y + 1033874.\nAnswer: -2*(y - 516937)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/14*114\/7. Let w be a\/3*(-8)\/(-16). Let s = w + 14. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 356979 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/78056 and 17\/865712.\nAnswer: 9522832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 divided by 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*c + 4*i = 463*c - i + 311, 15*c + i - 1250 = -i for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-15))\/((-2)\/(-336)). Let h = -113 - d. Let k be (-1)\/(h\/(-108) + 1). What is the highest common divisor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 0 = v*j - 5 - 1. Suppose -j*a - a + 40 = 0. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 5*f**2 - 5*f + 1 - 2*f**2 to the form p + l*f + q*f**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 4 (c) -1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792833 is divided by 222.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2. Let l be (9\/27)\/((-1)\/(-6)). Let o be (-5 - -6)\/(l\/8). Let b(j) = -o*j - 3*j + 6*j - j. Calculate p(b(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(3 - 0) - 1. Let v be o\/(-9) + (-61)\/3. Is (v\/12)\/((-1)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 50. Suppose -2*x + 177 = x. Let t = x - h. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7259 and -3?\nAnswer: 21777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51836\/4 + ((-5)\/4)\/(16\/(-64)). What is the highest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -192. Suppose -3*w + 5*y = -178, -2*w = -0*y - 3*y - c. Suppose -4*k = 5*u - 79, k + 3*u = -4 + 29. What is the remainder when w is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 - 90. What is l(-11)?\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21260949 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42874, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 92a3b3?\nAnswer: -92a3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 + 6*g - 5. Let v be f(-7). Let r be ((-12)\/9)\/(v\/(-3)). Is 122\/(r\/(-1)*-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 3*l + 13, -t = -4*l - 9. Suppose 12664489 = t*x - 20798651. Suppose 3*q + x - 55892628 = 0. Round q to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 82, -1, -1\/4, 5\/2, 138 in descending order.\nAnswer: 138, 82, 5\/2, -0.1, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-3*-6 + -2.\nAnswer: -2 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*m**2 - 9*g**3*m*p + 5*g**3*m + 4*g**3*p + 2*g*m*p - 4*m**4*p + 56*m**2*p - p wrt m.\nAnswer: 4*g**3 - 48*m**2*p + 112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a factor of 3349878060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g + 2*c + 2*c, c - 6 = -2*g. Suppose -3*v + v + 11 = 3*f, -10 = -g*f + 2*v. Find the third derivative of 2*k**2 - 4 + 4 - f*k**3 wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 20 = -5*w, -718*x = 2*w - 719*x + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 310021 (base 5) to base 9\nAnswer: 14653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416854951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*n + 1668, 0 = 4*b - 4*n - 562 - 1678. Round b to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -r - 40, 0 = 2*r - 10 - 0. Let g = d + -3. Let n = g + -4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 8. Let s(p) = p**2 - 11*p + 33. Calculate 9*i(y) + 2*s(y).\nAnswer: 2*y**2 + 5*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 566*j - 2931*j + 3000*j + 24310*j - 5*j + 2*j + j + (3 + 0 - 2)*(0*j - 3*j + 4*j) to o + f*j and give f.\nAnswer: 24944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/96 and (-30)\/78*(-70)\/(-80).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-9) - -1)\/(10\/(-8205)). Let y = -388 + k. What are the prime factors of y?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -894.\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-91)\/(-28))*44. What is the second derivative of 43*m + 14*m + n*m**5 - 67*m**5 + 2*m**3 wrt m?\nAnswer: -240*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 16*i + 9. Let t be c(-5). Find f such that -8\/3*f + 0 - 20\/3*f**5 + 4*f**2 + 28\/3*f**3 - t*f**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 4*h**3\/3 - 8*h**2 + 8. Factor a(r).\nAnswer: 4*r*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*g = -31*g + 2*g + 2407 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/30 - n**4 + 11*n**3\/3 - 2275*n**2. Factor x(b).\nAnswer: 2*(b - 11)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20*o**2 + 1024*o - 1963. Calculate j(-53).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 16}. What is prob of sequence bbu?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445800 and 2.\nAnswer: 445800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5286 + -6301?\nAnswer: -12587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:07 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 8. Let h be 1 - (u - (-2 - -4)). What is the tens digit of 3*-5*(-4)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*u**2*y + 9639*u*y + 5100253*y wrt u.\nAnswer: 178*u*y + 9639*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/59461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*v + 295*v + 4100 = 463*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-24)*b\/(b*b**1*b)*b**5 assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.2 - -23.5. Which is the closest to -0.1? (a) z (b) 1\/9 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -13*u**2. Let l(s) = 531*s**2 - 533*s**2 - s + s. Calculate l(m(k)).\nAnswer: -338*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*r = 7, n + n + 4*r = 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:20 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 861.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:36 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5931\/7 + -47872\/21. Let s = 1450 + f. Let b = 5312 + -58478\/11. What is the common denominator of b and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 195*u**2 + 661*u - 128895. Give v(195).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*j + 10, -15 = j + 304*s - 303*s for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 79*b + 474. Let d be l(-6). Let p(w) be the first derivative of 15\/2*w**2 + d*w + 9 + 5\/3*w**3. Factor p(v).\nAnswer: 5*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2735 - 17311 = -1822*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 697*p - 712*p. Solve -43*m = -48*m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -51348*g + 341. Is i(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-64926463\nAnswer: 324632315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11848712*k**2 + 29208*k + 18.\nAnswer: 2*(2434*k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 46000 = -6*g. Round g to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48774?\nAnswer: 2, 3, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-12)\/16) + -18. Is (11\/m + 13\/(-6))*-36 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59428 is divided by 879.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20*f - 12. What are the prime factors of h(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 - g. Let h(j) = -2*j**3 + 7*j**2 - 2*j. What is 3*c(z) - 2*h(z)?\nAnswer: z**3 + 10*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16647263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*j - 2*m, -j = 4*j - 2*m - 15. Suppose 5*k = j*k. Let t be 8*((-15)\/6 + 2). Put 3, k, t in ascending order.\nAnswer: t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a**2 + a - 20. Let x be v(0). Let b be (x\/4)\/(-1 - 0). Suppose 3*f - b*f + 118 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**8\/144 + 19*a**7\/630 + 41*a**6\/360 - 11*a**5\/180 - 17*a**4\/36 - 4*a**3\/9 - 38*a**2. Find c such that z(c) = 0.\nAnswer: -1, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 4 + 0 - 1 - 1. Let o be t(7). Let y = o + 86. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -206 in -1, -0.4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.7 - 41.3. Let z = o + 88. Sort -3, z, -4.\nAnswer: z, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*g)*(-3 + 2*g + 3) + (-1 - 1 - 9)*(-3*g**2 - 4*g**2 + 2*g + 6*g**2) as x*g + v*g**2 + q and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x + 3*d + 235, d = -x + 50. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*1\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k**2. Let v be z(-3). Let u be 14832\/v - (-4)\/30. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 58250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(153) + -2 + -1.\nAnswer: -3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 7126728?\nAnswer: 7126728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/36*108\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6830.7 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1, -1\/2, 4 in decreasing order.\nAnswer: 4, 1, 0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070156 rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p - 28*p - 81 = 0. Let u(b) be the first derivative of 3\/5*b**4 - 6 + 0*b**2 + 0*b - 3\/25*b**5 - 4\/5*b**p. Suppose u(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let s(a) be the first derivative of -285*a**2\/2 - 213. Determine s(l(u)).\nAnswer: 570*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 13*w**2 + w + 5. Let k = 1187 + -1174. Determine n(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-35)\/(-10)) + 2. Suppose -s*z = 14 - 50. Calculate the highest common divisor of 72 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1561\/11 + 142. Let s(i) = -i**3 + 6*i**2 - 4*i - 2. Let r be s(5). Suppose 2*f - r*f = 1. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:42 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179314871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112969961 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, 1, 38, 91, 160, 245, 346?\n\"Answer: 8*q**2 - 3*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*k + 2 = -4*k, -k + 7 = 2*u. What is the derivative of -5*s + 5*s - 12*s - s - u wrt s?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17938339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 168.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6381 + 6381.4689. Let c = 0.0041 + a. Round c to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 109*q - 2256. Suppose 6*a = 2*a + 380. What is the remainder when a is divided by z(21)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536485 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 70 = -5*q, -4*n = -604*q + 599*q - 58 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4737, -14628, -24515, -34398, -44277, -54152, -64023?\n\"Answer: 2*x**2 - 9897*x + 5158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 29*h**7\/35 - 7*h**4\/24 + 7*h**3\/6 + 2*h**2 + 12*h. Find the second derivative of g(v) wrt v.\nAnswer: 2088*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2920 and 5840.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.126 to one dp.\nAnswer: -78.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 6*j + 73 = -88. What is the nearest to 2\/21 in 0.4, -4\/3, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3\/4 + 639*q**2\/2 - 11745*q\/4 = 0?\nAnswer: -435, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*k - 101. Suppose 60 = -2*g + 5*g. Let h = g - 15. Solve -5*f + k = -2*q - 3*q, 0 = -f + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32457 - -32462. Which is the nearest to 0.1? (a) d (b) -2\/3 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984 = 108*g - 12 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40157? (a) -4 (b) 122 (c) -0.04 (d) -1\/10 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5136*w - 15. Let o(j) = -15407*j + 42. What is -5*o(g) - 14*v(g)?\nAnswer: 5131*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - w = -9, w + w - 6 = 0. Suppose m*n - 400 = 4*n. Is 7 - 3 - 1 - n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 6. Suppose 3*g - 2*g + 1 = 0. Let t be (g - (-6)\/1) + -1. Calculate the highest common factor of c and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1903 and 1730.\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-1 - (4 - -3) - (-15 - -9 - 3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*t = 264*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37750, 37769, 37788, 37807, 37826?\n\"Answer: 19*k + 37731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2, 5\/3, -470, -5, -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -4 in decreasing order.\nAnswer: -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 886341*r**2*t**4 + 282*r**2 + 511*r + 7 wrt t?\nAnswer: 3545364*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from bwiwzwiibzwzhww.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -8. Solve -z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 18ac9c?\nAnswer: 18ac9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 384 = 38*k - 11*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -25*v**5\/12 - v**4\/12 - v**3\/2 - 6*v**2. Let t be m(-2). Let k = -349 - t. Calculate the greatest common factor of k and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21142342 (base 5) in base 10?\nAnswer: 177847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Suppose -5*a = 4*p - 3*a - 2, p - c*a = 14. Let t = p + 2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.1, -4, 0?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(3*k**3 - k**3 - 3*k**3)*(5*k - 2*k + 0*k) + (-2*k**2 + 0*k**2 + 0*k**2)*(2*k**2 + 0 + 0).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -343*q**2 + 6*q + 12. Let g(t) = 99814*t**2 - 1745*t - 3490. Determine 6*g(a) + 1745*v(a).\nAnswer: 349*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - -6205e?\nAnswer: 62046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -24. Let h = -16 + t. Solve h = 5*m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*p - 256 - 105 - 25. Let g = -0.3 + 0.8. Let z = 2 - -3. Which is the third biggest value? (a) g (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -40*w - 31 - 19*w**2 + 3*w**2 + 27*w + 28*w + w**3 + 21. Calculate m(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450604, -901220, -1351804, -1802338, -2252804, -2703184, -3153460?\nAnswer: -3603614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3738306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/6 - 79*l**3\/33 + 14*l**2\/11 + 69*l. Solve o(y) = 0.\nAnswer: 2\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*s + 976*s - 9976 - 1044 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -1\/2*l**2 + 12 - 4*l. Let x be p(-6). Solve -4*j - 5*a + 0*a + 10 = 0, 2*a = x*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 82, -0.6, -0.2, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5 + (-2 + sqrt(720) + sqrt(720)*-1 + -4 - 3*5*1*sqrt(720)))*1)**2.\nAnswer: 1800*sqrt(5) + 162025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.9 + -64. Put 0.5, l, -1, -4\/27 in descending order.\nAnswer: 0.5, l, -4\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = 5*m. Let s = -1 - m. Suppose -s*b + 80 = 2*n, n - b - 4*b - 19 = 0. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/60*c**6 - 1\/12*c**4 + 0 + 0*c + 0*c**5 + 0*c**3 + 5*c**2. Find the second derivative of r(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/21)\/j)**24)**(-13\/3) assuming j is positive.\nAnswer: j**(2392\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*d)*(0 + 0 + 1)*(-1 + 1 + 22*d) - 4 + 4 - 2*d**2 to h*d**2 + m*d + x and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6 - 189b?\nAnswer: -17d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (34\/10)\/((-16)\/(-28) + 12375\/(-26250))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:29 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/28)\/(-8)*-35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*z - 12. Let m be (z\/7)\/((-3)\/(-210)). Let v be (-2)\/(-8) - (-39)\/m. Which is the second smallest value? (a) v (b) 1\/4 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/8 - 1)*4. Let v be 2 + (1*l - (-133)\/(-28)). Is 17 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/54231507 greater than or equal to -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 8*i - 3*i + 4 as l + h*i and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Suppose u*h - 35 = 6*h. Let l = h - -68. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 16*q - 43. Factor -45 + 145*d**2 + 2*d**4 + d**4 - 97*d**2 + 42*d**3 - 42*d - 6*d**q.\nAnswer: -3*(d - 15)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -0.1, -2.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 329, 740, 1315, 2054, 2957, 4024?\nAnswer: 5255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.557 + 0.043. Let j = 0.22 - m. Round j to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 171840 - 560. Let m = y + 4250. What is m rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, w: 8}. Give prob of picking 3 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33252282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-23) + (-35889)\/(-5127)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7536 is divided by 188.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -6. Let z(c) = 3*c**2 - 4*c + 6. Let a(n) = -8*n**2 + 11*n - 17. Let s(l) = g*a(l) - 17*z(l). Find the second derivative of s(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3\/d)\/d*d*d\/(d\/((d**4\/d)\/d))*(d**(1\/3))**(-3\/7))**(2\/145) assuming d is positive.\nAnswer: d**(54\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2085333 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -2*t. Let r = -0.0811 + -0.2189. Sort t, 4, r in increasing order.\nAnswer: t, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 + 252*r**2\/5 - 924*r\/5 - 576 = 0. Calculate r.\nAnswer: -2, 6, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 1\/((-95 - 3)\/14 - -6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465 - 3994 = 91*s for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5473*c**3 + 2003*c**2 - 1 wrt c?\nAnswer: -32838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 23*b**2. Let y(d) = -81 + 81 + 2*d**2. Determine y(r(x)).\nAnswer: 1058*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 20. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -65, -74, -83?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, b: 1, z: 2}. What is prob of sequence eb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-1*4 - sqrt(121)) + sqrt(121))\/sqrt(11).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -615*n + 310*n + 309*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.52*-4064\nAnswer: -6177.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7)*4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 4*x - 1. Let v(h) = 0 + 6*h**2 + 1 - 3 + 12*h. Let z(t) = -8*a(t) + 3*v(t). Solve z(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1168*y**2 + 12*y - 12. Let n(d) = 5*d**2 + 3*d - 3. Let r(a) = -h(a) + 4*n(a). Let t(s) = 3*s. What is t(r(k))?\nAnswer: 3564*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*v - 5*v. Let q = 2123 + -2108. Calculate the least common multiple of v and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6*x + 2)*(2 + 0 - 3).\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w - 21 + 11*w**2 + 139*w.\nAnswer: 11*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3953 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 + 9.87. Let s = i - 0.47. What is the second smallest value in 1\/3, 0.4, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {i: 2, o: 8, x: 5, r: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/24 - 500*l**2. Let a(v) = 708*v**2. Determine a(j(k)).\nAnswer: 708*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 14*f + 120*f)*(f + 5*f - 12*f).\nAnswer: -618*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3\/5, -2, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccnncncnnc. Give prob of picking 2 n and 1 c.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/10*12\/(-7). Suppose -14*p + 15*p = 0. Solve -f*z + z = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.002 + 0.058. Which is the closest to -0.2? (a) -2\/7 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(130) + sqrt(130)*-4)\/sqrt(10) + -1)**2 + 3.\nAnswer: -115 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/15*(0 - (-40)\/6). Solve z = -3*p + 2*q, -4*p + 2*q = 10 + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532109641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 - 3*x**2 - 3*x + 13. Let u be k(2). Solve -u*i + 17*i = 90 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11420 and 0.6?\nAnswer: -6852","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010111?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -3. Let s(i) = 13 - 18*i + 34 + i**2 - 70. Let y be s(19). Put w, y, -2 in ascending order.\nAnswer: w, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2. Suppose 4*h - b = 11, -b - 15 = 4*b. Let i(o) = -13*o**2 - 18*o**h + 35*o**2. Determine r(i(m)).\nAnswer: -112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ogpoggppgpgp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 12761432*h\/3 - 8507620.\nAnswer: -(h + 2)*(h + 12761430)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109\/3 - -37. Let z = 65.8 + 20.2. Let a = z + -86.1. What is the nearest to d in a, 3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19009*f**3*m**2 - 281*f**3*m*u + 374*f**2*m**2*u - 37*f**2*m - 30*f*m**2 - f*u + f wrt f.\nAnswer: -114054*m**2 - 1686*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 400 - 400. Is m at least as big as -5\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5 + 435 - 12*i - i**2 + 11*i - 91. What are the prime factors of a(0)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + 188\/(-78). Let u = m - -241\/91. Which is the third smallest value? (a) 1\/3 (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12384402 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893990 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2686.\nAnswer: 24174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 20678?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.146279 - 3.4.\nAnswer: -3.546279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11)*w*(w*w**(-17))\/w)\/((w**(2\/23)\/w)\/(w*(w\/(w*w**(-15))*w)\/w)))**(-3\/10) assuming w is positive.\nAnswer: w**(348\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 x when three letters picked without replacement from xxyyxylfxfyxyyfyxxxl?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4148*w**2 + 33198*w - 109. Determine d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + v + 108 = 24*j, -2*j + 5*v = -207. Is 111 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -30. Let p be 3 - (-5)\/(5\/2). Suppose p*u = l + 7 + 6, 0 = -2*l + 5*u - 1. Calculate the highest common divisor of l and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 6. Let z be y(7). Let l = -21 - -25. Let d be ((-5)\/(-30))\/(l\/(-9)). Are d and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*n*o**3 - 633*n - 40*o**4 + 2*o wrt o.\nAnswer: -30*n*o**2 - 160*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14501350 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -2753*n**3\/3 - 631*n**2 + 9528*n. What is the first derivative of b(d) wrt d?\nAnswer: -5506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4342421.3 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*w**2 - 103*w**2 - 107*w**3)*(3*w**2 - 3*w**2 + 2*w**2)*(-1 - 2 + 1 - 4 + 1 + 1 - 4 + 1 + 1 + (-3 + 1 + 0)*(1 - 2 - 1)).\nAnswer: 428*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -4 (b) -0.1 (c) -1\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:40 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146683488 rounded to 3 decimal places?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -300907, -302994, -305069, -307126, -309159, -311162, -313129, -315054?\n\"Answer: f**3 - 2094*f - 298814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -0.328?\nAnswer: 0.03936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 879*y + 1 - 543*y - 350*y. Let u(d) = -7*d**2. Calculate u(i(a)).\nAnswer: -1372*a**2 + 196*a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 12\/(-3) + 4. Suppose 42 = 3*p + 3*u, -1 = -g*p + 3*u + 2. Let o = -4 + p. Solve -2 = -m - j + 1, o*m + 5 = -j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48 - -6)\/((0 + 4)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33905, -135631, -305175, -542537, -847717, -1220715?\nAnswer: -1661531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*y, -2*a + 0*y + 14 = 3*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 260 = 7*m. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s\/s**(-2)*s*s)\/((s\/s**(-1\/2))\/((s*s**(-3\/8))\/s)) assuming s is positive.\nAnswer: s**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16636 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: -0.24716 times 317\nAnswer: -78.34972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and 85\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 19. Suppose -x*g + b = -212, -3*g + 0*g + 159 = b. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*g - 384 = 283*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 875909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:15 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 2*y + 7. Let l be 17 + (-2)\/(-6)*0. Let j be (1\/(-2))\/(8*6\/576). Let x(g) = 6*g**2 + 6*g + 20. Calculate j*x(z) + l*d(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*s + 533*s - 147613*s**3 - 1064*s.\nAnswer: -147613*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 2, d: 1, b: 1, c: 6, u: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/(-15)*3\/(-1). Let y = w - 5. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 20*v**2 - 5*v + 563. Calculate z(-21).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(5*3\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 6:27 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -50*w**2. Let o be -12 + 66\/(54\/9). Determine s(o).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-14) - (-4)\/14. Suppose 0 = 3*p - 2*b - 0*b - 10, 0 = -p + 3*b + r. Find the third derivative of a**p + 4*a**6 + 0*a**2 - 2*a**6 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77300*3\nAnswer: 231900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9424.746l in millilitres?\nAnswer: 9424746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + 49. Suppose g + 431 = 6*g + 2*t, 3*t = -2*g + u. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a48 - 378c?\nAnswer: -2b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 21, -5 in ascending order.\nAnswer: -5, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4108, -5259, -7178, -9865, -13320?\nAnswer: -17543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/630 + q**5\/15 - 4*q**4\/3 + q. Let w(a) be the third derivative of k(a). Does 8 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, g: 2, i: 1, d: 1, z: 1}. What is prob of picking 1 m, 1 d, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v - 69. Let y(f) = -25*f - 103. Let w(o) = -7*m(o) + 5*y(o). What are the prime factors of w(-21)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 19*b - 4. Let x be i(-18). Let f(g) = g**3 - 14*g**2 - 2*g + 30. What is f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 11*y - 101 + 55 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -26. Let t be 1*2 - (-5 - u). Let o = 5 - t. Solve 2*z + 3 = -v, 0*z + o = -2*z - 3*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2631 + 4952. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 0, 2*x = 3*x + 5*w - 19. Do 1\/148 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4596900 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470 - 21.9?\nAnswer: 2448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 - 5*i**2 - 4*i - 2. Let x be b(-3). Let c = 717 - 587. Let s = c - x. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 34. Let z = -46 + 18. Let m = 39 + z. Let i be a(m). Are i and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {l: 1, y: 2, j: 1, x: 1, d: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 3*p**2 + 4*p + 1. Let i be f(-4). What are the prime factors of ((-13922)\/(-15) - -2) + 34\/i?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*o**3 - o**3 + 2*o**4 + 2*o**4 + 9*o**2 - 2*o**4 - o wrt o.\nAnswer: 48*o + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13011265.\nAnswer: 5, 317, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**3 + 20*y**4 - 10*y**3 + y**2 - 6*y**5 + 3*y**2 = 0. Calculate y.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 24*i**2 + i + 5. Let l be c(4). Suppose 0 = -4*t + l - 5. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9574257 by 7161.\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 3*z. Let d be h(-3). Let s = 19 - -25. Let t = s + d. Calculate the remainder when 30 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 8*a**2 + 23*a + 36. Let i be w(-12). Calculate the highest common divisor of i and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/32*-2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) - 18\/(-4). Let q = -318 - -260.8. Let z = q - -56.1. Sort z, -1\/2, x in descending order.\nAnswer: x, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-275)*(-2)\/(8\/(-4))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/63 and 91\/66895545.\nAnswer: 1404806445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {a: 4, e: 6, l: 1}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.07 (c) 2\/11 (d) -2.44 (e) -11 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 113, -17 in decreasing order.\nAnswer: 113, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103103 (base 4) in base 8?\nAnswer: 52323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v = -6 - 192 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*5\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 2, -1467.\nAnswer: -1467, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r + 6*r**5 - 216*r**2 - r + 216*r**2 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*h - 5*h. Find the third derivative of -62*q**h + 118*q**2 - 5*q**5 - 66*q**2 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*l*w**2 - 2*l + 5*w**3 - 112*w wrt w?\nAnswer: -18*l + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 3*g + 10. Suppose -4*d + 16 - 4 = 0. Let o be m(d). Suppose 0 = -o*u + 3*u + 287. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92115 and 5963.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110601994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23829*a**3 + 1026*a**2 - 132897. Let d(u) = -1833*u**3 - 76*u**2 + 10223. Let v(o) = 27*d(o) + 2*h(o). Differentiate v(g) with respect to g.\nAnswer: -5499*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 24*r - 86. Calculate the remainder when 258 is divided by x(-28).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmgkkkkkkkkkkg. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiivopvac. Give prob of picking 1 p and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**5 + 25*t**4\/4 - 10*t**3 - 10*t**2 + 40*t - 237. Solve z(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -91*m**4\/24 + 59*m**3\/6 + 4*m**2 - 2. Let b be h(-7). What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2341 divided by 13827\nAnswer: -2341\/13827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7394670.\nAnswer: 2, 3, 5, 82163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from oodeoodoooodeoodoe.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17059 = -16*z + 158131. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-41 - -97) - -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*v - 1 = 0, v + 16 = -3*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2241, 2243, 2245, 2247, 2249, 2251?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2143 + 301692*p - 78893*p - 2143)*(1 + 2 - 1)*(-p + 3*p - 4*p) to u + c*p + h*p**2 and give h.\nAnswer: -891196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12364 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(15\/(-5))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7744, 7657, 7542, 7393, 7204, 6969?\nAnswer: 6682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 11*i**2 - 9*i - 13. What is the tens digit of d(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*p + 61 = 4*p, 2*b - p = 122. Let c = 279 - 270. What is the remainder when b is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32923 + 98771\/3. Factor 0 + 14\/3*w + q*w**2.\nAnswer: 2*w*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 55037, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 1838*n**2\/9 + 432208*n\/9 + 4534552\/9.\nAnswer: 2*(n + 11)*(n + 454)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s\/s**(-7\/3)*s*s)*s*s*s**5 assuming s is positive.\nAnswer: s**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 47, -177273.\nAnswer: -177273, -3, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79750, 159799, 239848, 319897, 399946, 479995?\n\"Answer: 80049*p - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 4*v - 15*y + 11*y, -v + 4*y - 30 = 0. Let n be v\/180 + 9011999\/(-6). What is n rounded to the nearest 10000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - -0.36. Suppose -5*z = 4*n - 11, -5*z + 12 = 3*n - 0*z. Let x = 273\/1828 + 46\/457. Which is the closest to -0.3? (a) n (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -23*u**7\/210 - u**3\/3 - 3*u**2. What is the derivative of z(r) wrt r?\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/5)*a**33)\/(a**(-2\/19)\/(a\/(a\/a**(1\/16)))) assuming a is positive.\nAnswer: a**(53151\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/110)\/((-42)\/(-35))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 - 4*n + 8. Let o be k(-4). Suppose 0*d - o = -2*d + 5*v, 0 = -4*d + 4*v + 56. Calculate the highest common factor of 70 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522808614 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 11 = -l, 0 = -5*l - 9*q - 16 - 63 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-5 + 3))*10. Determine l, given that 42 - l**2 - s - 4 + 19*l - 8 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -11\/5*a**2 - 3\/5*a**3 - 8\/5*a + 4\/5 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 8*o**2 - 14*o - 7. Let v be y(-6). Suppose 0 = 3*q - 1 - v. Suppose -70 = -q*k + 32. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*q + 26 = 3*n, -3*n - 2*q = -19. Solve n = -4*l + j, 1 + 14 = -5*l + 3*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 10010101?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -209462.\nAnswer: -544601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 9, l: 2, c: 2, i: 3, p: 1}. Give prob of picking 1 c and 2 j.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*i**4 + 130*i**3 - 23*i**2 - 54341761*i.\nAnswer: 732*i**2 + 780*i - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**3 - 9*j**2 - 12*j + 18. Let s(h) = -19*h**3 + 19*h**2 + 24*h - 37. Let b(c) = 13*i(c) + 6*s(c). Factor b(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*w - 24 = 0, 0*b - 4*w - 9 = -b. Let u(g) = 3*g**2 + 12*g + 5. Let j be u(b). What is the hundreds digit of (-5 - (-2 + j)) + 1*103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*q**5 - 4203*q**4 - 280*q**3 + 1323*q**2 + 4283*q wrt q?\nAnswer: 1620*q**2 - 100872*q - 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 12*a - 9. Let l be n(12). Let j(s) = -s**3 - 8*s**2 + 3*s - 13. Calculate the remainder when j(l) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l - 22*l - 22*l + 72*l + 2*l**2.\nAnswer: 2*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.78 + -0.38. Sort h, 3, -7\/5 in ascending order.\nAnswer: -7\/5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4298 (b) 0.5 (c) 3 (d) -1\/2 (e) -13 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 19 = -2*c + 11, -4*q - 2*c - 18 = 0. Let x = 2 - q. Let p be 36\/x*12\/9. Solve 6*u = 4*u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 - 3777324*y**2 - 7554657*y - 3777330 = 0. What is y?\nAnswer: -1, 1259110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 - -0.0794?\nAnswer: 5.3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 24*q = 0. Solve -2*r = -2*j, 0 = 4*j - q*j - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 0*h)*(12*h - 415 + 415)*(-h + 2 - 2).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068919849 to 7 decimal places.\nAnswer: -0.006892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 498\/(4\/(32\/(-3)))*(-48041)\/768656\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2061700147 to the nearest 100000.\nAnswer: -2061700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from {t: 1, s: 2, j: 2, q: 2, a: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6219, 12437, 18655, 24873?\n\"Answer: 6218*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 353*u**3 + 7 - u + 4*u**2 - 352*u**3 + u as i + l*u + k*u**3 + r*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.08, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Let k = -3.87 - 0.13. Which is the nearest to t? (a) 0.3 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -178. Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/3))\/t)**(-12\/7))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26263 + 2?\nAnswer: -26261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(117) - sqrt(117)*2) + sqrt(117) - (0 + sqrt(117) + -2 + sqrt(117)))**2.\nAnswer: -2832 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 16 - 105*a - 10 - 19)*(3 - 5 - 1).\nAnswer: 315*a + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 3 (c) 42 (d) 0.057 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*h - 3, 0 = -4*h + 2*h - 2*x - 4. Find the third derivative of -23*u**2 - 6*u**4 - 5712*u**3 - 28*u**2 + 5707*u**h wrt u.\nAnswer: -144*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93253, 186428, 279599, 372766?\n\"Answer: -2*m**2 + 93181*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 4, -2\/3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11199 + -11198. Which is the nearest to -14? (a) -9\/4 (b) -3 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45761 (base 10) to base 11.\nAnswer: 31421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*p + 57*p + 57*p + 26*p**2 + 2 in the form l*p + k + m*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 22817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -44*p**5 + 276*p - 176. Find the first derivative of g(t) wrt t.\nAnswer: -880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/60 + d**4\/12 - 4*d**3\/3 + 2*d**2. Is t(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(108)*-2 + sqrt(108))**2 + (sqrt(108) + -1)*2.\nAnswer: -218 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 + -136. Which is bigger: -70\/11 or j?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 - b**4\/12 - 3*b**3\/2 - 7*b**2\/2 - 8*b. Let q be c(5). Calculate the greatest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253*k + 98*k + 65*k)*(1 - 5 + 1)*(-3 + 1 + 0).\nAnswer: -540*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 8*i - 8*z + 18 = -11*z, 5*i - 5*z = 30 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i)**9 assuming i is positive.\nAnswer: i**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*8\/(-14). Is j > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*j = 727*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 545*y + 713*y + 30 + 2185*y + (3 - 1 - 3)*(2*y - 5*y + 4*y).\nAnswer: 3442*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -8\/17 (c) -12 (d) 3\/4 (e) -4 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 + 5*v. Calculate l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a + 9 = -67*a, 1 = 5*d - 2*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946176 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/21 - 2944762*u**2\/21 + 361317144066*u\/7 + 361318125654\/7.\nAnswer: 2*(u - 736191)**2*(u + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.56 - -0.1?\nAnswer: 20.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -31\/4, -47\/351.\nAnswer: -31\/4, -2, -47\/351, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.19 - -11.2802. Let y = s - 0.0592. What is the second biggest value in 0.3, y, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10279647 at most as big as -71957524\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t + 13 = 0. Let y(u) = -5*u + 9. Is y(t) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 296, 455, 632, 833, 1064?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -5 (b) 2\/5 (c) 2\/7 (d) -0.05 (e) 8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-5*-2*sqrt(78))\/(sqrt(6)*1*1))**2.\nAnswer: -5216 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1530 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsqpamav. Give prob of picking 1 s, 1 m, 1 p, and 1 v.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/24 + 7*k**3\/6 + k**2\/2 - k. Let z(q) be the first derivative of r(q). Let a be z(-3). Solve a = 2*f - f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9160.386us to seconds.\nAnswer: 0.009160386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0.8, 2, 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 26 - 21 - -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -33*((-70)\/21 + 1) and (1\/((-10)\/(-165)))\/(11\/44)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 37*h - 5. Let q(g) = -3*g**2. Give q(v(u)).\nAnswer: -4107*u**2 + 1110*u - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6950810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 + 18)*(-5)\/(-2). Solve 3*h + 9 = -3*z, z + 0 = -5*h + q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 234. Let w(v) = -9*v**2 - 15*v - 5. Let x(u) = -11*u**2 - 18*u - 6. Let z(d) = -6*w(d) + 5*x(d). Calculate j(z(p)).\nAnswer: 2*p**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 6, -1, 1359 in descending order.\nAnswer: 1359, 6, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -8\/37, -0.15, 3, 0.5 in descending order.\nAnswer: 3, 5\/8, 0.5, -0.15, -8\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251691, -504009, -756329, -1008651, -1260975?\n\"Answer: -p**2 - 252315*p + 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*m + 3*m - m + 2*m + 873*m**2.\nAnswer: 873*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 3*f**2 + 13*f + 4. Let y be a(-4). Suppose y*z = 37*z - 90. Factor 4*j**2 + z*j**2 + 10*j - 7*j**2 + 5*j**3.\nAnswer: 5*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + g = -16, 10*q - 5*q = -4*g + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 16. Let k = -3 + m. Differentiate n**k + 2*n**2 - 4*n**2 + 2 - 3*n**2 wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286*a - 202*a + 584*a + 598*a)*(2*a**2 - 2*a**2 + 3*a**4).\nAnswer: 3798*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-636)\/(-3) - (14 - 7). Let i = 209 - p. Solve 4*b = s - 8, i*s - 3*s - b - 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 2:24 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(21\/(-14)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 71 - 8)*(4*b + 7*b - 9*b)*(6*b**2 + b**2 - 5*b**2) to the form y*b + k + x*b**2 + r*b**3 and give r.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - f = 2*b + 417, -3*f = -9. Calculate the remainder when b is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 79.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*q - 478*q = -627*q - 55*q + 76146 for q.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)*21\/(-6). Let f = p + 9. Suppose -3*w - 5*k + 0*k - f = 0, 4*w - 37 = 5*k. Solve 3*i + 10 = i + 2*m, w*i = -3*m + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 5 (c) -4 (d) -0.2 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*178.09\nAnswer: 35.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -516 + 1951\/4. What is the nearest to k in 0, -4\/9, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1042 + -612. Suppose -2*q + 2*p = -s, 0 = -q - 4*q - 4*p + 1102. List the prime factors of q.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121753174381953730*w**2 + w**3 + 121753174381953735*w**2.\nAnswer: w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t + 9. List the prime factors of q(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2410420 or 2\/15?\nAnswer: 2410420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887*z + 3*k - 4 = 2883*z + 4*k, -8*z + 10*k - 5*k + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150288901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**4 + 78*j**2 + 95?\nAnswer: 8*j**3 + 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-250)\/1375 + (-1252785)\/(-33)?\nAnswer: 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 18 + 2. Let c(m) = -4*m + 20. Let h be c(i). Suppose 0 = 3*u + u - 5*g - 1642, 0 = -h*g + 8. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) + 1216\/(-3). Let n = -247 - f. Suppose -n = 22*j - 24*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.79 (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 1. Let b(o) = 5*o**2 - 2*o - 7. Let l(i) = 4*i**2 - 2*i - 6. Let q(z) = 5*b(z) - 6*l(z). Let c be q(-3). What is s(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*h**2*u - 194*h**2 + h + 30*u**4 wrt u?\nAnswer: 10*h**2 + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114*n**2*y**2 + 503*n**2 - 376*n*y**2 + 48*n - 3*y**3 + 3 wrt y.\nAnswer: 228*n**2*y - 752*n*y - 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.913 + -15.513. Put m, 0.4, -101 in ascending order.\nAnswer: -101, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7346790 is divided by 977?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106.799 + 107. Let u = -0.101 + c. Which is smaller: -3\/5 or u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/37561 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24512710 is divided by 6128177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*t + 67, -2*t + 0 + 2 = 0. Let o be h\/2 - 1\/2. Let n = o - -31. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*v. Suppose 13 = -b - v. Is 16 a factor of 4\/(12\/9) - b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1202010?\nAnswer: -1202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 21*d**4\/4 + 2*d**3 - 18. Factor i(j).\nAnswer: 3*j**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25047829?\nAnswer: 127, 167, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37928 and 2155?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1167, 5022, 11449, 20448, 32019, 46162, 62877?\n\"Answer: 1286*o**2 - 3*o - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + o**4 + (-3*o + o + 4*o + (-2 + 3 - 2)*(-o - 2*o + o))*(-5*o**3 + 2*o**3 - o**3).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-23)))\/g*g)**(4\/15) assuming g is positive.\nAnswer: g**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(8\/5)*f)\/f)**(-34)*(f**4*f)**(-6) assuming f is positive.\nAnswer: f**(-218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141055 (base 8) in base 13?\nAnswer: 1981a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241878972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5302?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v - 1. Let f(y) = -2*y**3 + 3*y**2. Let w(z) = -f(z) - 4*n(z). Calculate the remainder when w(-3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8897399 is divided by 94.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*n - 341*n + 1023*n + n**2 + n**2 - 345*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -89, 0, -1\/3, 0.0313, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546995*a**2 + 32*a + 1093926*a**2 - 32*a - 546947*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.777278 to 1 decimal place.\nAnswer: 70.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)\/(1 + 1). Let t = 148 + -145. Suppose 2 = -y + 6. Put y, t, c in increasing order.\nAnswer: c, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(3\/(2565\/10)). Let t = h - 12. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + -2.5. Let p = -5 - f. Let i be (-5)\/(-3) + (1 - 2). Which is the closest to 0? (a) p (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 3*o + 3. What is c(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) -251\/12 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4242 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 4. Let p be x(0). Suppose -28 = -p*k - 4. Differentiate -46 + 2*c**4 - k*c**4 - c**4 + 39 with respect to c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufy when three letters picked without replacement from {f: 3, k: 1, u: 1, y: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2680915 and 2620.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.3423 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 2, -524, -19 in decreasing order.\nAnswer: 5, 2, -19, -28, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 6*g**3 - 2*g + 16*g**3 + 2*g.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uou when three letters picked without replacement from lgalolllpgllllolugua.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 926892 (base 16) in base 9?\nAnswer: 20043810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60\/13 + -407\/91. Let b(f) = 4*f**2 + 1. Let r be b(-1). Suppose -2*n + n + 3 = 0, r*n = 5*z + 35. What is the second smallest value in i, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -397 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.429 - -0.071. Which is the smallest value? (a) 2 (b) -3 (c) l (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226463810 to the power of 1\/3, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/5))**(19\/4))**(3\/5)*u*u*u**(-2\/7)*u*(u\/u**(-2))\/u*((u\/u**(-3)*u)\/u)\/u**(1\/5) assuming u is positive.\nAnswer: u**(7157\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4358*x - 4357*x = 17, x = -2*z - 3*x + 54 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*a = 9, 7*p - 2*p = -2*a - 11. Let x = -3 - p. Suppose -3*u - 3*l + 32 = -4*l, x = 3*u + 3*l - 36. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 104.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q - 1. Let c(j) be the second derivative of 3*j**3\/2 + j**2\/2 - 5*j. Let h(s) = -3*c(s) - 4*g(s). Is 10 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193047034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 15, 0 = -3*c - 4*a + 3288. 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 next term in 34, 163, 478, 1063, 2002, 3379, 5278, 7783?\nAnswer: 10978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(72) + 1 - sqrt(72)))**2 - (2*sqrt(72) + 2)**2)*4.\nAnswer: -1152 - 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-5) + (-1224)\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*c**2 + 255*c**3 - 58*c**2 + 143*c**3.\nAnswer: 398*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = -4*i, -5 = -23*i + 20*i + 2*v. Suppose 4\/5*w - 4\/5*w**i - 8\/5*w**2 + 8\/5 = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 115800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/(-35))\/(2\/(-25)). What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -22 (c) 0.4 (d) -1 (e) -0.0035 (f) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.5 (c) 2\/21 (d) -43 (e) 0 (f) 444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(18\/4))\/((-2)\/9). Let k(z) = z**3 - 8*z**2 - 4*z - 5. What are the prime factors of k(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5447, 10893, 16339, 21785?\n\"Answer: 5446*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 3. Let g = 2634 - 2637. Let k(s) = -2*s**2 + 3*s + 6. Determine g*k(h) - 7*d(h).\nAnswer: -h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44139773 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28019 + 44214. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1506 and 6.8234.\nAnswer: 1512.8234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*k - 77*k - 2496 + 109*k.\nAnswer: 153*k - 2496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8)*10*-2. Suppose 4*w - 6*b + 2*b - 8 = 0, 0 = -l*w - 4*b - 17. Suppose 3*g = -7*g + 20. Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + f + 35 = -l, 0 = -3*f - 15. Suppose 0 = -u - 23 + 5. Let s be (-2 + u\/(-4))*30. Calculate the highest common factor of s and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1941660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/10, -4, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12\/k)**21\/((k**(-1\/14)\/k)\/(k\/(k*k**19))) assuming k is positive.\nAnswer: k**(2983\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-2 + 12) - (7 - -3) - -2) + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2675747 to three decimal places.\nAnswer: 0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.062079 and -1032.\nAnswer: -1024.937921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3 - 2 + 0 - 4*s**2 - 1. Let f(u) = 2*u**2. Give c(f(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 2829?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n**2 - 8*n**2 - 2*n + 8*n.\nAnswer: -7*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 2*w**2 + 4*w + 7. Let i be d(-5). Suppose h = 3*h - i. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 85107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 6\/(-3) - -1. Suppose 15 = 3*x + j*x. Solve -s + x*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6 - 211*h**5 - 25*h**3 - 32*h**2 + 65?\nAnswer: -240*h**3 - 12660*h**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535999?\nAnswer: 535999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**2 - v + 4. Suppose -7*a = -31*a + 96. Let y be (a + -5)*(-2 - -2) + 9. Let m(u) = -4*u**2 - 1. Calculate y*m(t) + 2*n(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*b**3 - 2 + 46*b**4 + 53*b**3 + 2*b + 48*b**3 to i*b**4 + s + z*b + y*b**2 + t*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147) + 2 + -1 + (1*sqrt(3))**2 + (sqrt(75) + 0 + sqrt(75))**2)*3.\nAnswer: -21*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1735653\/104 - -16690. What is the common denominator of 99\/128 and y?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 642.1764 + -642. Let y = t + 0.0426. Let r = y + -0.22063. What is r rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 2\/39 in ascending order.\nAnswer: 2\/39, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 744 by -8049.\nAnswer: -248\/2683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (-1 + sqrt(242) - sqrt(242))**2*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050970636 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -p + 3*p. Suppose 0 = 4*u + z - 55, 3*z + 32 - 2 = u. What is the greatest common divisor of u and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = -8*o. Let p(g) = 4 + 8*g**3 + 4 - 15. Let j(x) = 4*x**3 - 3. Calculate o*p(h) + 5*j(h).\nAnswer: 4*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b**(-6))\/((b*b\/b**(-3))\/(b**(-1)*b)))\/((b*b\/b**1)**(26\/7)\/((((b*b*b\/b**(-1))\/b)\/b)\/b**(-2\/3))) assuming b is positive.\nAnswer: b**(-211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 122 = -5*l, 5*l = 429*s - 428*s - 23. Solve s*a - 8*a + 150 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, n: 4, i: 1, q: 1}. What is prob of sequence ny?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135700 and 1860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, 19309, 5, 1.2 in decreasing order.\nAnswer: 19309, 5, 1.2, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 42. Determine w(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -27442939700 to the nearest 1000000.\nAnswer: -27443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 45 = 3*i - 2*t, 4*t - 30 = -2*i. What is the greatest common divisor of 135 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 4*v**2 - 9*v - 20. Determine t(8).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131235938?\nAnswer: 2, 47, 1396127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/120 + 2*k**5\/15 + k**4\/12 + 11*k**3\/3 - 113*k**2. Let c be h(-8). Solve 3*g = -2*u - 8, -3*u = -2*g - 8 - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5675708 divided by 31886\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/4 + 1221*z**3\/4 - 20499*z**2\/4 + 37051*z\/4 + 82173 = 0.\nAnswer: -3, 7, 13, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 32. Let k(v) = 3*v**2 + 10*v - 7. Let n(x) = -4*x**2 - 11*x + 6. Let y(j) = -3*k(j) - 2*n(j). Calculate y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225073 or -50?\nAnswer: -225073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-4)*3*59\/(1062\/(-24))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 319 - 889 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/787 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*m + 6740 - 540 = 0 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d - 2 + 2 + 3*d - 3 - 3*d**2.\nAnswer: -3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 + 0.84262\nAnswer: 102.84262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 5989.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. Let p be ((-2)\/1 + 0)*l. Let o(z) = 9*z - 2. What is the tens digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00502322846 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 5*g + 19. Let m be v(-5). Solve -a - 2*t + 4*t = 3, -t + m = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*m + 45, -453 = 14*r - 4452*m + 4449*m for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006704 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + 7 + -11 + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = 2*n, 3*n - 10 = 5*n. Suppose 5*v - 5*g + 15 = 0, z*v + 4*g - 21 = -v. Is v less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 169, 191, 221, 253, 281, 299, 301, 281?\n\"Answer: -q**3 + 10*q**2 - q + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 4705712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.39 and -91.\nAnswer: -217.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1564403742 or -1564403743?\nAnswer: -1564403743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -10\/9, -1, 5\/6, 0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-12) - 3\/(24\/(-10102)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 + 3*a - 5. Let z(m) = 13*m**2 - 5*m + 9. Let i(s) = -3*s - 22. Let q be i(11). Let x be (-1)\/(-4 + (-225)\/q). What is x*d(v) - 6*z(v)?\nAnswer: -v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1200.01 + -1200. Which is the third smallest value? (a) -5 (b) -0.3 (c) 1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let h be (o\/(10\/(-4)))\/2. Let v be (-365)\/(-55) - (-2 + 54\/6). Is v at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6242541 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5 - 42*d + d**2 + 42*d. Let v be c(0). Suppose 12 = -0*i - 4*i. Sort i, 3, v.\nAnswer: v, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.48 - -1.98. Which is the closest to 0? (a) 5 (b) t (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/271 + 2435\/1084. Let a = z - 11\/4. What is the third biggest value in a, -0.4, -0.2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/189)\/((-1)\/9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425976.\nAnswer: 2, 7, 43321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let h(f) be the second derivative of 0 - 2*f + 0*f**2 - 5\/6*f**3. Give q(h(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - z**2 + z + 1. Let k(u) = -61*u**3 + u**2 - 11*u + 15. Let j(a) = -k(a) - l(a). What is the second derivative of j(d) wrt d?\nAnswer: 378*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplp when four letters picked without replacement from {l: 13, p: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1633 by -972.\nAnswer: 1633\/972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*k**2)*(-3 + 3 + 1) + 6*k**2 + 3263*k - 3265*k + 516 - 5*k**2 as w*k**2 + q + g*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21642, -21755, -21964, -22269, -22670, -23167, -23760?\nAnswer: -24449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:24 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -18*w - 256. Calculate the least common multiple of 630 and m(-15).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29917*(-1)\/2)\/(2\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/19499994 and -25\/9.\nAnswer: 19499994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i - 5*j = 415, -5*j - 15 = 0. Let d(f) = -i + 4*f + 400. Let k(s) = -2*s - 9. Determine k(d(a)).\nAnswer: -8*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 equal to -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527199 is divided by 202?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 5 = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 11222111012202?\nAnswer: -11222111012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*j + 2 = 1, h = 5*j + 1. Let c be 3\/h + 16 + -13. Suppose 13*v = c*v + 763. List the prime factors of v.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -53\/1723 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*w + 1, 6*w + 4*m = 3*w + 24. Let q be (-3)\/7*(w - -2)*-7. Let p = 26 - q. Calculate the remainder when 69 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/5)\/z*z)**(5\/7)*z\/z**0*z**(-2\/17)*(z**(-2\/9)*z)\/z**(-9)*(z*z**5)\/z*z*z**1 assuming z is positive.\nAnswer: z**(19373\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40656*r**2 + 80891*r**2 - 40212*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28499*k**3 - 85500*k**3 + 28504*k**3 + 28502*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Let s = -3.0026 + x. What is s rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 0*f - 1\/12*f**6 - 6 - 1\/5*f**5 + 1\/3*f**3 + 1\/4*f**2 + 0*f**4. Factor c(q).\nAnswer: -q*(q - 1)*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g + 15 = 0. Solve -g*l + 2 = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10114, -10116, -10118?\n\"Answer: -2*j - 10112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8714 + 8719. Which is the nearest to p? (a) 4 (b) 0.27 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3965*l**3 + 3087*l**2 + 2*l - 178238769 with respect to l.\nAnswer: -11895*l**2 + 6174*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 6*d - 45. Suppose -10*y = -d*y - 29395. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o. Let g be i(-1). Suppose g = 4*a + u + 16, 0 + 8 = -2*a - 3*u. Let v = 15 + a. Solve 7*r - h = 5*r - v, 5*h = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 8217 + 8237. Solve 0 = -0*l + 4*l - j - 7, -t*l - 56 = 8*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 21 - 109 = 5*i, -i + 3*l - 42 = 0. Let p be ((-4)\/i)\/(6\/36)*5. Solve 18 = p*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12820, 25670, 38536, 51424, 64340?\n\"Answer: a**3 + 2*a**2 + 12837*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 75*g**5 - 5*g**3 + 23*g**2 + 5. Let t(m) = 76*m**5 - 6*m**3 + 23*m**2 + 6. Let h(x) = -6*j(x) + 5*t(x). What is the third derivative of h(q) wrt q?\nAnswer: -4200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = 27*y - 32*y, 3*g = 5*y + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 91*h**2 + 15 + 27 - 89*h**2 - 46 - 6*h. Let c(d) = -3*d**2 + 7*d + 5. Give 4*c(q) + 5*j(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 5:53 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -101, -152, -203?\n\"Answer: -51*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3))\/(41\/(-18)). Let o = q - -472\/533. Let s be ((-32)\/(-1056))\/(-7 - (-123)\/18). What is the smallest value in -1, o, s, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -88. Find the third derivative of -12*a**2 - 20*a**2 - 7*a**2 + 13*a**p - 6*a**2 - 3*a**4 wrt a.\nAnswer: -72*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*r + 2*x, r - 3*x - 55 = -4*r. Let b = r - 8. Factor d**2 - 4*d**b + 3*d**4 + d**2 - d**4.\nAnswer: 2*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-21)*((-64)\/(-60))\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 27*k**2 - 10*k - 22. What is the tens digit of c(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29818462*w**2 + 496*w - 36270 wrt w.\nAnswer: 59636924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/7 (b) 2\/3 (c) 0.4 (d) 11 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*i + 72. What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 0.5 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 10*r + 193. Let m(t) = 3*t**2 - 4*t + 97. What is 3*a(o) - 7*m(o)?\nAnswer: -3*o**2 - 2*o - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371700.\nAnswer: 2, 5, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*a**4*y - 319*a**3*y**3 + 492613*y**3 wrt a?\nAnswer: 452*a**3*y - 957*a**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 + 2*l - 10. Let f = -179 - -174. Let s(k) = 4*k**2 - k + 4. Calculate f*a(h) - 12*s(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2178176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -393559 divided by 7\nAnswer: -393559\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034 and 425491.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 8*k**2 - 145*k + 1018. What is f(7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5\/5 + 6*r**4 - 99*r**3\/5 + 24*r**2 - 48*r\/5.\nAnswer: -3*r*(r - 4)**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {i: 4, t: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:01 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 5)*76\/10. Is 16 a factor of 1463\/a*(1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -3 - 5*v**2 - 1\/3*v**3 - 10*v. List the prime factors of k(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 2*x + t, -3*x + t - 33 = 85 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b = 73*b + 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/(-12))\/(-6*3\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {r: 1, v: 5, k: 3, h: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*k**4*q - 20*k**3 + 503*k**2*q - k wrt k.\nAnswer: 600*k*q - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 105. What is the highest common factor of y and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 6. Let z be h(-4). Suppose 147 = -19*a + 95*a - 81. Solve -13 - z = a*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(0 + sqrt(405) + 4 + (sqrt(405) + (sqrt(405) - (sqrt(405)*-2 + 2)) - sqrt(405)))**2.\nAnswer: 432*sqrt(5) + 19454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80958 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: What is the cube root of 10079 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85404959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6942578?\nAnswer: 2, 1747, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltzk when four letters picked without replacement from {l: 2, c: 1, z: 1, k: 3, t: 3, b: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*c**3 - 6 + 44*c + 19 - 46*c.\nAnswer: 156*c**3 - 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - 8.7. Let o = 15.9 + y. Let d = -0.6 - -0.9. What is the nearest to o in -0.3, 3\/7, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 11111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023282372 to four decimal places.\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/((-4422)\/(-6666)))\/(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 65. What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3105642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6417 less than -44.76?\nAnswer: -6461.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = r - 20, b = -b - 2*r + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r + 17*r + 2*r**2 - 3*r**2.\nAnswer: -r**2 + 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/15*1\/6. What is the fourth biggest value in o, -0.3, 5, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(21)\/(sqrt(6)\/sqrt(2)))**2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 45, 2 in increasing order.\nAnswer: 2, 15, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 - y - 9. Let x be f(-7). Let g = 5 + x. Let k(w) be the first derivative of -w**2 + 4*w + 5. Give k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 279?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from vzvrvzrzzzzvvzz.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**3 + 15721*j**2\/2 + 655*j = 0. What is j?\nAnswer: -1310, -1\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 3*c - 5600*c**2 + 1 + 2*c**4 + 5602*c**2 - c - 5*c**3 as l*c**4 + p*c**3 + m*c + v*c**2 + s and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {b: 1, w: 5, s: 4, g: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*q - 49*q - 48*q - 41*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228252 divided by 3.\nAnswer: 76084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 7, -47723, 153, -4 in decreasing order.\nAnswer: 153, 7, 4, 3, -4, -47723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2437, 2385, 2293, 2155, 1965, 1717, 1405?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 <= -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 4 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -8. Suppose -4*t + 2*t = 4. Sort a, t, 0, -1.\nAnswer: a, t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332.7 and 12406.\nAnswer: 4127476.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**7)\/c)\/c**(-5))\/(c**(2\/13)*c*(c*c*c*(c*(c\/c**4)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.2 - 99.8. Let w = -20427.43 - -20534. Let l = s + w. What is l rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*z + 50 - 92 - 94*z + 579*z + 45 as p*z + r and give p.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -224*i**2 - 2*i - 17. Calculate f(-2).\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, 4, -2, -2\/15, -4.\nAnswer: -4, -2, -2\/15, 0.1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236*((6\/120 - 2) + 1177\/535).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110124 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 117567.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.60576 - -0.10576. Which is the second biggest value? (a) z (b) 0.11 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*p + 450120 + 106304 = -2746192. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 135 + 5*v**4)*(1 + 2 + 0).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*a - 38, 4*q + 0*a + 5*a = 31. Suppose -q*l + 85 = 13. Calculate the highest common divisor of 24 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -29, 0.3, 1\/4, -228?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -9746.\nAnswer: 58476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 2, n: 2, x: 9}. Give prob of picking 2 x and 1 k.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688621306 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 5*m = 18 - 504 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:46 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-105)\/140)\/((-9)\/(-2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(-5)*8\/2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -304265.\nAnswer: -304266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:59 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 3*x, -2*i + 11 = x. Let a(t) = -2*t**2 - 5 - 3*t**3 + 2*t**i - 4*t + 2*t**3 + 3*t. Let d be a(3). Solve -d - 2 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/220 - (2\/(-10) - -1). What is the smallest value in 0, q, -0.09?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q + 25*q**2 + 2*q + 3*q + 2*q wrt q.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.5. Let v = -15.92 - -16.32. Which is the closest to k? (a) v (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34270 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 475\/(-155) - (4\/14 - (-2233088)\/(-26474)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = 0. Let n = -0.5 + 1. Suppose -z - 14 = 2*y + 3*z, 0 = 2*y - 4*z - 10. Sort n, y, w in descending order.\nAnswer: n, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408390889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 12*x - 82*x - 116*x = -2304 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {q: 1, u: 1, c: 8, t: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 + 47*c**2\/2 + 172*c + 35. Let a be r(-43). Solve -4*g + 8*g - 16 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - -79 - (-6 + (3 - 0)) - (1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1121\/927 - -136\/103. Which is the fourth smallest value? (a) -2\/15 (b) 0.08 (c) j (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 60*b + 1112. Calculate p(-75).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3599 + 3604. Solve 0 = -19*d + u*d + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51761199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086893433 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: -544 * 0.09\nAnswer: -48.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*z + 3395 = 48*z + 260*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = -5*c, -34*h = -38*h + c - 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s - 4*n, -5*s + 3*n - 5 = -s. What is the smallest common multiple of 8\/4*(-1)\/2 - s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x - 1. Let g be o(-9). Is -16*(18\/g - 3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = j + 3*z, 5*j - 4*z + 160 = 9*j. Calculate the greatest common factor of 3458 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329002642 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/165 - 476\/30. List the prime factors of -106*4\/m*2.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (7 + 34)) + 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698133 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 2 + 2*m - m**3 - m + 2*m. Let i be t(-2). Put -4, i, 3 in descending order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025 - -0.334. Let n = w + -0.349. What is the nearest to n in 2\/3, -1, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168193, -167791, -167389?\nAnswer: -166987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f. Let g(n) = -12*n**3 - 7*n**2 + 6*n + 10. Let t be g(2). Let v = t - -127. Solve -5*s - v = -f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = -3*v, -20 - 10 = -5*v - 3*h. Suppose 5*z = 2*z - v. Let s be (-18)\/(-9) - 4\/z. Solve -s*c - 29 = -5*n, c - 4*n + 18 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -c583?\nAnswer: c580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50987\/14 + -3644. Calculate the common denominator of y and (-67)\/(-2)*(-1)\/(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/19)\/u**(-1)*(u*u**(-1)*u)**(7\/8) assuming u is positive.\nAnswer: u**(269\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4096 and 11166272.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-119)\/(-1) + (9 - (5 + -1)). Calculate the greatest common factor of t and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*-3*(416\/2704)\/(2\/13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Let y = 117.9 - 90. Let p = -27.8 + y. What is the nearest to p in 0.4, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426662 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: Express (x - 2*x + 0*x)*(3*x - 6*x + 4*x + (-x + 0 + 0)*(166 - 469 - 1424)) in the form f*x + b + d*x**2 and give d.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.618718 weeks to hours.\nAnswer: 1615.944624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-24)*(-8)\/(-6). Let z(k) be the second derivative of 0*k**3 + y*k + 0 - 1\/15*k**4 + 0*k**2. Factor z(p).\nAnswer: -4*p**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + 9*o**2 - 8*o + 6. Let q = -47 + 52. What is the units digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-189)*-177)\/(123\/(53382\/(-124))).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose -54 = 2*g - 4*v, 41 = -7*g + 4*g - u*v. Let q = -5 - g. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.939 - 0.061. What is the third biggest value in 0.2, 3, r, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.91 + -1.9100311. What is d rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 246 + 75 = 0. Sort n, -5, -2.\nAnswer: n, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/11 + 76634*o\/11 - 8024520\/11 = 0?\nAnswer: 105, 38212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -1.5, -2, -9, 1391?\nAnswer: 1391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48413*p**6 + 4*p**5 + 5*p**2 + 4397*p - 200 wrt p?\nAnswer: -5809560*p**3 + 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmcm when four letters picked without replacement from {p: 2, m: 3, k: 1, c: 6, b: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 745*o - 5213. Calculate u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + ac55?\nAnswer: ac58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 546 and 327.\nAnswer: 59514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-40)*168\/(-77)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.41395326 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -39. Let j be -1 + (-156)\/9 - 2. Let y = s + j. What is the closest to -1 in y, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u**(-3)*(u\/((u\/(u\/u**(-1\/10)))\/u))\/u**(-1\/6))**(3\/11))**(-29) assuming u is positive.\nAnswer: u**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7270903 divided by -1?\nAnswer: 7270903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32766 is divided by 512?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 167.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 33*s**2 - 146*s - 6. Let w be j(-28). Let n = w - 162. Solve 5*x + 5 = n, 0 = 4*h + x + 14 - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = -l, -x + 3*x = -4*l + 6. Suppose -l*c + 6*c = -2*c. Suppose -3 = 4*k + 2*z - 29, -5*z - 7 = k. Solve 4*f - k + 0 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/77 - (1 + (-9992)\/(-22)). Let g = -453 - m. Solve -4 + 12 = -g*t, -2*w - 2 = 2*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 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: What is (0 - (-5 - 3)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 27*l - 9. Let o be d(-14). Does 29 divide (o*116)\/(5 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + -33 + -30 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 15630059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108084 - -5?\nAnswer: 1108089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66905, -66903, -66899, -66893, -66885, -66875, -66863?\nAnswer: -66849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259.20718ms in days?\nAnswer: 0.00002614823125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1359 and -1.2.\nAnswer: 1630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 190*y**2 + 4898*y - 236. What is q(-213)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 5, -2\/9, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 - 2600*b**3 + 10340*b**2 - 10320*b = 0. Calculate b.\nAnswer: 0, 2, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56226*q - 38790 = 56217*q. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11371458 - 11371458 - 2*c**2. Let i(w) = 3705*w. Give r(i(f)).\nAnswer: -27454050*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 0.3. Let u = 0.01 + m. Is 1\/5 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 568 - 8*y**4 + 7*y**4 + 6*y**2 - 566 + y to the form o*y**2 + g + f*y**4 + m*y + j*y**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7912 or 8157?\nAnswer: 8157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, -0.1, 4, -101?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 25. Let v = 0 - -8. Solve 4*x + m = v*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/(1\/4). Solve 7*o + 11*o**2 - 5 - 7*o**x - 19*o + 12*o**3 + 1 = 0 for o.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 4*v**2 + 34313*v - 34323*v - v**3 + v**4 in the form c*v**3 + t*v + m + r*v**4 + j*v**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/10500 and -87\/38000.\nAnswer: 798000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 196441\/704 >= 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -770083268+17\nAnswer: -770083251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:01 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16285.33 millilitres to litres.\nAnswer: 16.28533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (0 - -12) - (0 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**3 + 5*z + 4. Let t(x) = 16*x**3 + 6*x + 5. Let h(p) = -5*t(p) + 6*v(p). Calculate h(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + 6*s - 3. Let h(v) = -3*v**2 - 4*v + 2. Let q(r) = 5*g(r) + 8*h(r). Let w = 10 + -5. Let t be (-4)\/(-5) + 1\/w. What is q(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 3:15 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrxx. Give prob of sequence rxr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 767, 715, 625, 485, 283?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 946937 + 12?\nAnswer: 946949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**2 + 3*h + 2. Let g be s(-1). List the prime factors of 1\/((46\/115)\/((-3172)\/g)).\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0602388nm?\nAnswer: 0.00000000602388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19226*j = 19231*j - 530. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -47. Let o be ((-2)\/(-20))\/(q\/(-65)). What is the nearest to -0.1 in o, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*b**2 + 5318*b**4 - 589*b**5 - 256*b**5 - 5318*b**4 wrt b?\nAnswer: -50700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9281*-29\nAnswer: 269149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 6375 = -9*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s = -38*s. Suppose -5*j = -d + 1012 + 4248, -2*d + 4*j + 10502 = s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5\/4, -68, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -p - 2*q + 6356, 0 = -q + 1. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -6. Let d = p + -6. Suppose -255 = -5*h - 4*q, d*h - 4*q + q - 102 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 27148*f\/3 + 26489813\/3.\nAnswer: -(f - 943)*(f + 28091)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 + 87 = -11*g - 16*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*g**2*h**2 - 2*g**2*h + 2*h**3 - h wrt h?\nAnswer: -102*g**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14724\/17 - 867. Let z = -41\/85 - a. Are -1\/4 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.817334\nAnswer: -0.817334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12483274 and 258257.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-119) - (-123)\/(-697)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(33\/(-12))*1. Let o be (14\/b)\/((-15)\/(-90)). Calculate the highest common divisor of o and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 1. Let k(l) = 16*l**3 + 2*l**2 - 10*l. Give k(m) + 5*v(m).\nAnswer: 16*m**3 + 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11232\/1440 + (-1)\/(-5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:38 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 - 51. Suppose 0*p = -4*p + z. What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 7. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001515972 to 6 decimal places.\nAnswer: -0.001516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 9 = 3*d + 3*q, 3*d + q = 3. Differentiate 1394 + d*s**4 - 1372 - s**4 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 3*r = -8*y - 3 + 7 - 15, -5*y + 22*r - 55 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 41)*1 - 3. Suppose 68*z - 75*z + 35 = 0. Sort n, -0.1, z in descending order.\nAnswer: z, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - 1 - (-28 - (10 - 12)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109a + 18?\nAnswer: 10b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*j + 28, -1539*q + 1536*q = 4*j + 28 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -204. Solve 10*d - 4*z + 8 = 8*d, 0 = 2*z - h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105874 by 26.\nAnswer: -52937\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -552, -858?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.993 or 52?\nAnswer: -3.993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12544020 (base 6) in base 11?\nAnswer: 266211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 533 + 552 - 495*s - 1083 to the form v + p*s**2 + c*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10ace (base 16) to base 6.\nAnswer: -1244114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (-6)\/(-12) + (-7 - -4) + 9. What is the second smallest value in -1\/19, x, 0.72?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - -14) - 5 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 4*s - 2. Let b be d(2). Let t be b\/(-6) - (-2)\/(-6). Let q(l) = t - 5 - 1 + l. Give q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810421 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120278.599902 - 120279. Let s = -0.41 - -0.01. Let o = z - s. Round o to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.221493245 to 5 decimal places.\nAnswer: -0.22149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.2, -0.4, 2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2863 + -2860. Solve -3*z + 2*z = i*n, -4*n + 19 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -54, -67, -86, -111, -142, -179?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6))**50)**(-20)*(f**(-2\/19)*f**(3\/5)\/f)**(-1\/11) assuming f is positive.\nAnswer: f**(-522356\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 7*r - 12. Let c be x(5). Let v be c\/((-9)\/(5373\/(-24))). Let j = v - -50. Sort -4, j, 0.3 in decreasing order.\nAnswer: 0.3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 64049.5 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -441b + -4?\nAnswer: -4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b - 11*b + 8*b)*(-1 - 2 + 5)*(-4 + 2 + 1)*(b - b - 2*b)*(-5 - b + 5) to z + p*b + n*b**3 + k*b**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123946962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 202*c. Let d(g) be the first derivative of -7*g**2\/2 - 1889. What is d(r(a))?\nAnswer: -1414*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-207)\/552*-1*4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*q + 325 - 325)*(436*q + 465*q - 989*q) to the form w*q**2 + o*q + c and give w.\nAnswer: 3256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515, -1026, -1537, -2048, -2559, -3070?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 31. What is the closest to -2\/3 in 1, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 13. Determine r(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 22, -144, -14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:34 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:05 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(300) + sqrt(12)))\/(sqrt(20)\/(sqrt(15)\/sqrt(3))) + 1 + 4.\nAnswer: sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {n: 4, g: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3151, 6292, 9433, 12574?\n\"Answer: 3141*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -153.8 times 1306\nAnswer: -200862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10178 is divided by 10165?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 20. Let f be o(7). Suppose -f*b + 640 = 238. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 944197 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -9. Let m be u*(-2 - (-330)\/4). Suppose -4*s = -m + 48. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8383\/1881 + -77\/19. Calculate the common denominator of -20\/81 and s.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187141\/5 + 37429. Let m = -0.6 - -0.5. Which is the third smallest value? (a) x (b) 1\/2 (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 7*h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 29*g**6\/30 - 11*g**5\/5 + 252*g**2. Find the third derivative of q(a) wrt a.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 1116.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*m*m*m**(-9)*m*m*m**(3\/4)*m**(8\/5) assuming m is positive.\nAnswer: m**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8)*0*1. Suppose f = -2*y + 3*y - 5*w - 32, y = -w + 2. Find the first derivative of -o**2 - y*o**2 + o**2 + 12 + 0*o**2 wrt o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 + 11*v + 8. Let f be z(-8). Let s be 20\/7*(-280)\/f. Suppose s + 10 = 5*d. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/10 + 2)\/(3\/15). Let b(k) = -k**3 + 7*k**2 + 7*k + 5. Does 9 divide b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 877 or 876?\nAnswer: 877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006683 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 773 + -398. Let y = n - 1736\/5. Let b = 28 - y. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 4440.\nAnswer: -7\/1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l**5 + 4*l**2 + 0 + 0*l + 0*l**3 + 0*l**7 + 0*l**4 - 1\/2352*l**8 + 1\/840*l**6. Suppose i(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1183*i*v + 921*v wrt i.\nAnswer: 1183*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 312?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:52 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -i + 10, -3*t + 0 = 2*i - 14. Let a = 11 - t. Is a at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 - -0.03. Let o = -86.3 - -82. Let x = w - o. What is the third biggest value in 2, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/3*((-24)\/(-40))\/(4\/(-10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**36)**(-26) assuming w is positive.\nAnswer: w**910","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7542579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43502 + -634402. Round t to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344179023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/16 (b) -2\/23 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*z**2 - 431*z + 125*z**2 + 107*z**2 + 673*z.\nAnswer: z**2 + 242*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y*y*y\/(y\/(y*(y*y**(-1\/4))\/y*y))*y)\/(y**(-3)\/y**4))**(5\/2) assuming y is positive.\nAnswer: y**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10042?\nAnswer: 2, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636524965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w**(2\/5)*w*(w**(-2\/5))**14)\/(w**(-3\/2)*w**4*(w*w\/((w**(-2\/17)\/w)\/w)*w)\/w**(5\/4)) assuming w is positive.\nAnswer: w**(-4273\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:16 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/24 + i**5\/6 + 5*i**4\/8 - 1610*i**2 - 2*i. Factor g(l).\nAnswer: -5*l*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:34 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/20 and -133\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 227. Let f = -69.72 + w. Let c = f - 1.58. What is the closest to 0 in -1\/4, -5, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (-15)\/(25\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 549280324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*y + 348 + 174. What is the second derivative of -y*f**2 + 111*f**3 + 8*f**2 + 380*f - 459*f wrt f?\nAnswer: 666*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 86.2. Which is the closest to -32? (a) r (b) -3 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 7 + 6 + 3*p + (6 + 1 - 5)*(-3 - p + 3) to v + j*p and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h**3 + 101*h**2 - 200*h - 125. Let s(f) = -20*f**3 + 203*f**2 - 400*f - 250. Let i(g) = 13*o(g) - 6*s(g). Factor i(v).\nAnswer: -5*(v - 5)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 320 = -96. Solve -1 = f, 2*s = 3*f + 2*f + v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85883519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d + 64 - 62 + 121 = 0 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/15)\/(6*(-4)\/(-795)) and ((88\/26)\/1)\/2.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -1\/2*j**2 - j - 108. Let p(b) = -b. What is -2*i(c) + 3*p(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/5, 73, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 - (-2 - 6 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:01 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14157 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:30 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2 - 3. Suppose 2*p + m - 2 = 2*m, 3*p + 4*m = 3. Let z be c(p). Solve -z*x - 16 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 20 + 43 = -o, 18*d = 23*d + o + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 38250*f - 38237. Calculate q(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1035 = -5*m, -4*m - 1536 = -3*p - 2*m. Suppose 1566 = 24*x + p. Calculate the least common multiple of 20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, 1, 141 in decreasing order.\nAnswer: 141, 1, 2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -12 - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1195, -2420, -3665, -4930, -6215?\n\"Answer: -10*g**2 - 1195*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-465074081 + -2 - 0)\/1. Let x = o + 2276537624671\/4895. Let p = x + 4\/445. What is the common denominator of p and -13\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001128 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 989705 and 2620.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 33. Which is the closest to 1? (a) 2\/9 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:27 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(-45 + 77). Let u(h) = -h**2 - 18*h - 31. Let j be u(-16). Let p be (4 - 8\/2)\/j. Solve s - 5*s + r = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -85. Suppose 5*a - 2*r = 28 - 206, 3*a + 122 = 5*r. Let t = a - x. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 10*k + 25. Calculate the least common multiple of u(-8) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/2, 8124649, -0.5?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {m: 1, c: 2, q: 2, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7*w = -2*w - 6, 0 = 4*a - 3*w - 12. Suppose 5 = i + a. Solve 8 = 2*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963375 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 20360*r**3 - 20929080*r**2 + 412493600*r - 2052338000 = 0. What is r?\nAnswer: 10, 2026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let w(t) = -t**3 + 6*t**2 + t - 5. Let m be w(6). Let b(c) = -25*c - 8. Let k(d) = -d - 2. Let x(r) = m*b(r) - 5*k(r). Calculate u(x(q)).\nAnswer: 40*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.19 + 27. Let d = -63.29 - -63. Let b = s - d. Round b to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101000010111 + 11?\nAnswer: 1000001101000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 715, 686, 639, 574, 491?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-153)\/(-34))\/((-117)\/(-572))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 31349 = -2*b - 2*j, 2*j = 2. Let d = -4776 - b. What is d rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813.3207 seconds in weeks?\nAnswer: 0.00630509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o + 0 - 7\/30*o**5 + 0*o**3 + 0*o**4 + 13*o**2. Let a(n) = -n**2. What is a(j(x))?\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v**3 - 3 + 1 - 93*v**3 + 116*v**2 + 47*v**3 in the form u*v + t*v**3 + b*v**2 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2351182488.\nAnswer: 2, 3, 8521, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 338*v - 308. Is s(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 488*r + 1. Let l(y) = -21*y + 18. Let t(j) = 4*j - 3. Let p(x) = l(x) + 6*t(x). What is p(a(d))?\nAnswer: 1464*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 30*r**3 - 36*r**2 + 120*r + 192.\nAnswer: -3*(r - 2)*(r + 2)**2*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 = f. Let t = f - -20. Let b = -26 + 78. What is the remainder when b is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 - 2)*(2*q**2 - 2*q**2 + 2*q**3) - 3*q + 4*q**3 + 3*q as b*q + p*q**3 + t*q**2 + c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -207, -225, -245, -267?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 5\/6*v**3 + 0*v - 1\/24*v**4 + 0 + 1\/10*v**5 + 4*v**2 + 1\/120*v**6. Give x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15092370 and 7608.\nAnswer: 60369480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5 and -2\/36341?\nAnswer: 181705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/30 - 13*u**4\/24 + u**3\/2 + 25*u**2. Let i be q(-6). Solve -p = 4*t - i, 2*p = -5*t + t + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 4. Determine g(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 26*j + 27. Calculate the remainder when z(-33) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - 7*i**3 - 86 + 86.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 927198 or 927206?\nAnswer: 927198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1778475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 10 - -5) + (-3635 - -1). Let z be (3 + 7 + b)\/(2\/3200). What is z rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 2*m + 90, 4*w - 72 = -3*m. Let u be 272\/72 - (-4)\/w. Differentiate -8 + 31*v**2 - 31*v**2 + u*v**4 wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165944*t**2 - 135096*t.\nAnswer: 331888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 2*c**5 - c**5 + c**5 + c**4 - c**4 + (0 + 1 - 3)*(3*c**5 - c**5 + 0*c**5) - 44 + 44 - 18*c**5.\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242 + -2?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -35, -94, -191, -332, -523, -770, -1079?\n\"Answer: -i**3 - 10*i**2 + 10*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328417 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 2\/25 (c) 0.002 (d) -0.3 (e) 0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22857349585*r - 22857349585*r + 47*r**2.\nAnswer: 47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 141*c**2 + 580*c = 0 for c.\nAnswer: -4, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 2, t: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) 7 (b) -0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 779944*r**3 + 24*r**2 + 4*r + 46 wrt r.\nAnswer: 4679664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -3*h + 5*c - 3*c, -2*c = h - 125. Suppose r - 4*r = 3*d + 15, 4*d = -2*r - 22. Let b = d + h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -21, -1.\nAnswer: -21, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(-3*g + 0*g + g)*(g + g - g) + g - g - 5*g**3 + (0 + 0 - g**2)*(-5 + 5 - 2*g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*s = -13, -4*n - 3*s + 12 = -20. Let p = 196504 - 20043581\/102. Let w = p + 1\/34. What is the second smallest value in n, -3, -3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = 693*c - 22744 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.13 - 0.13. Let a = -4.7 - -0.7. What is the nearest to 1 in 1\/6, a, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-10)*(3 - -1). Let c = z - -11. Sort 1\/4, c, 5 in ascending order.\nAnswer: c, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83430 and 5562.\nAnswer: 83430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 5. Let n be y(10). Let d be n\/(-10) - (-3)\/(-2). Let l be 0 + d\/(8\/(-6)). Solve 2*s + 5 = 4*s + l*c, -3 = 3*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from {z: 1, p: 3, t: 2, x: 4, k: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153235.5909 + 3.5909. Let n = 153229.000032 + o. Let t = n - -3. What is t rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 2*k. Suppose -k*m + 4*m = -4*j - 8, 5*j = -m - 10. Let o = 21 - 11. Solve -3*x + o = -6*x - 2*b, -2*b - 4 = m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-5 - b**3 + 5) + (275 - 275 - 17*b**2)*(-13*b - 2*b - 5*b).\nAnswer: 339*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -26*u - 1072. What is a(-40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2 + 56*n - 52 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 70*m - 295. Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 5 - (0 - 10 - (-14 - (-18 + 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -15 - (-88 - (73 + -153))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-495)\/(-297))\/(-4*(-60)\/(-6624))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -605943, -1211845, -1817747, -2423649?\n\"Answer: -605902*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + 16\/4. Suppose -218 = -m*h + 6. Suppose 0 = -2*j, -4*x - 5*j + 2*j = -h. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14866936 divided by -1061924\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 + 118 + (-17 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4418 - -3410697\/772. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*2244\/1870.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13009*c - 43036. Give w(-3).\nAnswer: -4009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*-3)\/((sqrt(576)*-1 - sqrt(576)) + sqrt(576) - sqrt(576)) - -4*(-2 + 2*sqrt(171)).\nAnswer: -8 + 189*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 - 3*p. Let n be w(1). Solve -n*z = -9*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - 16 + 6 + 9*w**2.\nAnswer: 19*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 - (14 + (0 - 3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 6) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}