diff --git "a/data/dm_maths/full_data/10730_11255.jsonl" "b/data/dm_maths/full_data/10730_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10730_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(r) = r**3 + 8*r**2 + 8*r + 4. Let i be t(-5). Suppose 0 = -2*n + 5*n - i. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(90\/64)*2079\/(-396)*(-4)\/14?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = 2*v - 11, -t - 30 = -5*v. Let i(g) = -15*g**2 + v*g**2 + 5*g**2 + 8*g**2. Let q(r) = -17*r. Determine i(q(b)).\nAnswer: 1156*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154010 or -154005?\nAnswer: -154010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4 + 306719981*g**3 - 11*g**2 - 444*g + 866 wrt g.\nAnswer: -72*g + 1840319886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddcddddcddddcd?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458773623 to the power of 1\/3, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.2. Let y be 2\/(-7) - (280\/147)\/5. Let x be (-68)\/(-104) - (-2)\/(-4). Sort x, v, y.\nAnswer: y, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-55)*(-5)\/2)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34128 - 459614 = 247*k + 470630. Which is the nearest to 1? (a) 0.4 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 14. Let f = 3 - -2. Let a(k) be the third derivative of -k**4\/8 + 3*k**3\/2 + 2*k**2. Let p(o) = f*j(o) + 8*a(o). Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 549238125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 701 + -224. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -292, -607, -1030, -1555, -2176, -2887, -3682?\n\"Answer: r**3 - 63*r**2 - 19*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(6))**2 + 2 - ((sqrt(2695) - sqrt(55)) + sqrt(55))\/sqrt(11).\nAnswer: -7*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38313851 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 3*b + 2*b)*((-1 - 4 + 4)*(-5 - 4 + 1) + 1 - 1 - 1 + (-2 + 2 - 1)*(1 - 2 + 3) - 1 + 5 - 2)*(0 - 2 + 1) to the form v + w*b and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39221127 and 990?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 * -2\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161340397 is divided by 1023?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 2. Let v be x(0). Which is the nearest to 2\/5? (a) 0 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565 = 64*y - 1373 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times 1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - q = -87, 2*t - 30 = -5*q + 15. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60042 + 165?\nAnswer: 60227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j + 29*j - 69*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 2)*(-131 - 42*o + 131) + (4*o - 2*o - o)*(2 - 2 - 2))*(3*o + 0*o - 5*o).\nAnswer: -248*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*u**4 + 17*u + 20?\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -5)\/(((-20)\/4 - -7)\/(-3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194759 is divided by 1137.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h - 2*h)*(-5*h - h + 4*h) + (-3*h**2 + h**2 + 3*h**2)*(6*h - 43*h - 45*h) + 2*h**3 + h**3 - h**3.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22848 divided by -12.\nAnswer: -1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + -9 + 16 + (-2 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2420 and 269075444?\nAnswer: 1345377220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3779050 rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -90, -5 in ascending order.\nAnswer: -90, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185549662 divided by -185549662.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8187*u + 0 - u**2 + 9 + 8191*u - 3. What is i(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -397 + 10?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016990049909 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -85095, 530\/7, -4?\nAnswer: -85095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 36*z**2 - 362*z + 4. Determine b(-7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 8*x**2 + 11*x - 4. Let d(i) = 3*i**3 + 17*i**2 - 23*i + 9. Let z(f) = -3*d(f) - 5*m(f). Is z(10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4910.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20706, -16480, -12256, -8034, -3814, 404?\n\"Answer: -c**2 + 4229*c - 24934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 14a7?\nAnswer: 14a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56516.36 years to millennia.\nAnswer: 56.51636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615511 and 361597?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - 8*v + 1. Let q be r(8). Let j(g) = -g**3 + g**2 + g - 1. Let d(f) = 5*f**3 - f**2 - 2*f + 2. Give q*d(w) + 2*j(w).\nAnswer: 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 149037*s. Let z(y) = -y**2 + 4*y. Calculate z(n(g)).\nAnswer: -22212027369*g**2 + 596148*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*h**3 + 78*h**3 - 16*h**2 + 84*h**3 + (2 + 2*h**2 - 3 + 2)*(4 - 4 + h)*(0 + 9 - 11) to r*h + z*h**3 + o + a*h**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2391480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -3 + 0\/4. Sort w, 1, 4 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1645 and -132.862.\nAnswer: 218557.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Suppose 3*s + s = -16. Is w at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 656*l - 1311*l + 657*l. Let d(p) = 73*p. Give d(r(x)).\nAnswer: 146*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32543?\nAnswer: 7, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2713\/2 + 1 + 12\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from {y: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d - 10. Let o be h(-2). Let t(f) be the first derivative of 1\/4*f**o + 1\/3*f**3 - 3\/2*f**2 - 3 + f. Give t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -2070, -6946, -16446, -32112, -55486, -88110, -131526?\nAnswer: -187276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 40*z + 160*z**3 - 39*z.\nAnswer: 160*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15615\/7 - 2236. Calculate the common denominator of 45\/2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 22 (c) 2\/5 (d) -2\/9 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 937010707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-1)\/1 + 36\/1). Let h = 38 + c. Suppose 0*j - h*l = -j + 136, 5*j - 590 = -5*l. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 7 = -34*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + (-171)\/27)*12. Let u(t) = t**2 - 7*t - 4. Let w be u(a). Let s = 4 + -8. Is w < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + -345. Let n = 10273\/26 + j. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 1315 = -3855. Suppose 2*g = -3*g - 3*a + z, -157 = -2*g + 5*a. Suppose 2*m + 0*m = 14. Calculate the greatest common factor of g and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f - 9. Let b be q(7). Let z(l) = 3*l + 4. Determine z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 2225*a + 2220*a + 35 = 13*j, -4 = 2*j + 2*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 5 + 5)*(4 + 2*l - 4)*(-l - 7*l + 0*l + (-2 - 3 + 6)*(l - 4*l - 5*l)).\nAnswer: -192*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*m**2 + 260006*m - 260006*m - 1217*m**2.\nAnswer: -2158*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*275.4.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3267 and 102663.\nAnswer: 3387879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(76))**2 + (-1*sqrt(304))**2) + 1 + sqrt(475) + 1*sqrt(475) + 3.\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -323*x**4 + 67 wrt x?\nAnswer: -1292*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11101 and 76085601?\nAnswer: 1293455217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 13*b - 515*g + 510*g, 40 = 2*b + 5*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/7, -0.2, 2, 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 20*n**2 + 39*n - 66. Give o(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(110\/30)*380\/(-114)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(13) - (-1 + sqrt(832))) + 5*(sqrt(13) + 1) + -4 - (-2 + sqrt(52)\/(sqrt(4) + (sqrt(4)*1*-1 - sqrt(4))) + 5)) + -2)**2.\nAnswer: 16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200503648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((2*-1*sqrt(2448))**2 + (-1 + sqrt(2448))**2 + -4).\nAnswer: -144*sqrt(17) + 73425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47897 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 2. Let v(d) = -d**3 + 8*d**2 - d + 5. Let u be v(8). Is 22 a factor of j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**3 - 11*y**2 - 9*y - 10. Determine a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*o**3*r - 9*o**2*r**2 - 8*o*r + 2*o - 3*r**2 wrt o?\nAnswer: -96*o*r - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b1b02?\nAnswer: b1b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*d**4 - 1 + 154*d - 158*d + 19*d**3 - 82*d**4 to the form b + w*d**4 + v*d**2 + r*d**3 + q*d and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48)\/(-15))\/(2\/25) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (-12)\/(-18)*(-414)\/(-4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26553 and 18179?\nAnswer: 9107679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 6, w: 2, g: 2, b: 2}. Give prob of picking 2 b, 1 w, and 1 v.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 7696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 815*v - 13855 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48751, -97501, -146251, -195001, -243751?\n\"Answer: -48750*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 98*j + 100310 = 49*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -0.04532501.\nAnswer: 0.0113312525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565602249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -24. Let t(x) = 4*x**2 - 8. Let v be t(k). Suppose 2*y = -v - 4. What is y rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqrsrgrrsfsff. What is prob of picking 1 g and 1 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.969 + 0.031. Which is bigger: -35 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*k - 48, 0*u + u - k = 64. Let h = -25 + u. What is the remainder when h is divided by (-2)\/7 + (-107)\/(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16771\/14 + -2397\/2. Which is the second smallest value? (a) -34 (b) -0.3 (c) -4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1859964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 + 40 = 22*h. Let u = 42 - h. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 - -44?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11474.0114 + -11473. Let b = 0.876 - j. Round b to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -32171.\nAnswer: 2\/32171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 + 15 - (42 + 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/3 - 24179*p**2\/3 - 96704*p\/3 - 96700\/3 = 0 for p.\nAnswer: -24175, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 663 and 201.\nAnswer: 44421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 90, 177, 298, 453, 642, 865?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 + 8*m**3\/3 - 3*m**2 - 6*m + 1455. Determine f(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -43?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3195, -2603, -1607, -201, 1621, 3865, 6537?\n\"Answer: c**3 + 196*c**2 - 3*c - 3389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 256?\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 30 = -5*t - 8, 9 = 3*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.4. Let u = -4.898 + -0.102. Put u, m, 4 in decreasing order.\nAnswer: 4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + (-3003)\/49. Let t = q - -85. Suppose 0 = 19*z - t*z + 115. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 26*q + 39. Let m be g(-14). Suppose m*l = l + 60. What is the smallest common multiple of l and 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. What is the units digit of (3 - (-12)\/(-3)) + z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 601772\nAnswer: -3008860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/25)\/(5 - -1). Let o = 56060 + -56057. Sort o, 32, i in descending order.\nAnswer: 32, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0 - 3*p**2 + 1\/24*p**4 + 0*p + 1\/2*p**3. Let z be a(-6). Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-2)\/4). Let w be ((-6)\/(-60))\/(h\/(-5)). Let 1\/4 + 0*j - w*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63646 = -194633*r + 195159*r for r.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727 times -0.03?\nAnswer: 51.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(12\/13))**18*q\/(q*q*q**(2\/5))*q**(-2\/19)*(q*q**(1\/2))**(-38) assuming q is positive.\nAnswer: q**(-92774\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-1 - -5 - 0). Suppose -f*y + 0*y + 15 = -a, 3*y + 2*a = -4. What is the third derivative of -2*b**2 - b**2 + y*b**4 - b**4 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-11)*1*(-2)\/(-4). Factor -6*n**3 + 2*n + s*n**3 - 2*n**4 + 2*n**2 - n**3.\nAnswer: -2*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*m + 157 = 0, 2*q - q - 18 = 5*m. Suppose 0 = d + 2*d - 258. What is the greatest common factor of d and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let m(t) = 5*t - 4. Let q(x) = 9*x - 7. Let f(g) = 7*m(g) - 4*q(g). Give 7*f(n) + 6*u(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262 a factor of 844671872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 36. Let b be 4\/6 - (51\/n + -6). Suppose -5*t = 6 - b. What is the closest to t in -0.1, -7, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offyfgrgrruf. Give prob of picking 1 r and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81\/2 of a year?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*m - 12, -5*m - w + 4*w = -22. Factor 4*l**3 - 9*l**5 + 19*l**5 - 6*l - 7*l**m + 7*l**3 - 13*l**4 + 5*l**2.\nAnswer: l*(l - 3)*(l - 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 + i**4\/4 - 2*i**2 - 1420*i. Suppose -3*m - 1 - 5 = 0. What is t(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 41*d + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(1\/11)\/n)))\/n**(-2\/43))\/(n**(-2\/3)\/(n*((n\/n**(5\/2))\/n)\/n)) assuming n is positive.\nAnswer: n**(-7651\/2838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8 and -37\/364?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 16 - 9 + 0 + 1.\nAnswer: j - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 33*x - 55. Let l be z(-31). Let g(n) = 14*n**2 - 99*n + 8. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 + 1 + 4 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1165.388 - -1168. What is g rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/3 + o. Let y(c) = -8*c + 0*c**2 + c**2 + 8*c. What is y(g(n))?\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032 - -0.3033.\nAnswer: 0.2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s + 80 - 42*s - 47*s + 79 + 82 - 242.\nAnswer: -68*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123687, 123908, 124117, 124314?\nAnswer: 124499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (483\/46)\/((-4)\/40). Which is greater: w or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410581?\nAnswer: 59, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.029 in -2\/13, 5, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284.8747 * 0.042.\nAnswer: -11.9647374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1302 and 34.\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 3823973490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22*k**2. Let t(d) = 688*d**2. Give t(q(r)).\nAnswer: 332992*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/9, 6, 1\/4, 4 in descending order.\nAnswer: 56\/9, 6, 4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -77.678562 and -1.\nAnswer: -78.678562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-2))\/((-11)\/22). Suppose -3*o - x = 4*b - 2, 2*b + 6 = 0. Solve 4*p + 11 = o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)\/o*o**(2\/5)*(o\/o**3*o)\/(o**3*o) assuming o is positive.\nAnswer: o**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11)*-1 + sqrt(11))**2 + -1 - sqrt(11)) + (sqrt(132) + (sqrt(132) - sqrt(132)*-2))\/sqrt(12).\nAnswer: 3*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4071919 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - r**3 + (-2*r + 1 - 1)*(2*r**2 + 2 - 2) - 59*r + 59*r + 18*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3574682, -14298760, -32172222, -57195068?\n\"Answer: -3574692*d**2 - 2*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -58, -210, -478, -886?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39603867 to the nearest integer?\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 27*g**3 - 3*g**2 - 6*g + 4. Let b = 3 + -9. Let p be l(b). Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -9\/77 (c) 7 (d) 62 (e) 2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276 + 105 + 5*z**3 - 372.\nAnswer: 5*z**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 395.53 from -18215209.\nAnswer: -18215604.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 59, 86, 117?\n\"Answer: 2*r**2 + 17*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -34. Let s(n) = 5. Let h(b) = -b**2 - 1. Let m(w) = z*s(w) + 5*h(w). Let j(r) = -6*r**2. What is m(j(o))?\nAnswer: -180*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 644.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13, 1\/9, 0.2.\nAnswer: -0.2, 1\/9, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -26*m - 180. Suppose 3*o + 106 = 5*f + m, 0 = 4*o. Let w be f\/(-49) + (114\/7 - 0). Solve -w = 4*p - c + 3, 0 = 4*p - 2*c + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v)**(5\/7)\/(v**(2\/9))**25 assuming v is positive.\nAnswer: v**(-290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 - (-13 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 53, 115, 191, 275, 361?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-216)\/(-189))\/(4\/14). Suppose u*g - 17 = 19. Calculate the least common multiple of 7 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.241333mm in centimeters?\nAnswer: 0.8241333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -q + 6, -3*s = -20*q + 21*q + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 39*u + 28. Let d(n) = 14*n + 9. Let z(j) = -8*d(j) + 3*m(j). Let i(r) = -4*r - 11. Determine 6*i(p) + 5*z(p).\nAnswer: p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -84. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -3\/4*r**2 + 20*r + 3\/20*r**5 + 0 + 5\/6*r**3 - 1\/60*r**6 - 1\/2*r**4. Let x(t) = 0. What is t?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 67, 1, -5, 4, -2, 1159 in descending order.\nAnswer: 1159, 67, 5, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*z - 409*z = -202*z - 10460 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472726.9s in milliseconds?\nAnswer: 472726900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(1\/16)\/(a**(1\/6)*a**(-12)) assuming a is positive.\nAnswer: a**(1991\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4986, 5148, 5310, 5472?\n\"Answer: 162*j + 4824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 + 56*a**3 - 6028*a**2 - 6176*a + 12144 = 0. Calculate a.\nAnswer: -46, -2, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -2.716\nAnswer: 1.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 118?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Let a(b) = b**2 + 4*b + 5. Let j be a(-4). What is the third derivative of -t + 3*t**u + t - t**5 + 2*t**j wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let w be f(4). Let o = -24 - -13. Let y = w - o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560773 to the power of 1\/2, to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106050631 + -5?\nAnswer: 106050623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 - 2944*n + 1083480. Let t(s) = 4*s**2 + 2944*s - 1083458. Let h(q) = 3*j(q) + 4*t(q). Let h(l) = 0. What is l?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2*k**3 + 227. Let d(g) = -4*g**2 + 0*g**2 + g**2 - 7*g**2. Give a(d(b)).\nAnswer: 600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrjiryzzzj. Give prob of picking 1 r and 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 3. Suppose d - t + 2*t - 8 = 0, 29 = r*d + 2*t. Let q(n) = -n**2 - 4*n + 1. Let l be q(-3). Solve -5*y + l*v = d, 5*y - 2*v + 25 = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-118855\nAnswer: 11885.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 16*r**2 - 14*r + 3. Let u = 2076 - 2056. Calculate the remainder when b(17) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*s - 97*s + 3 - 3 + (4*s + 3*s - 4*s)*(-4 + 0 + 2) + 7*s - 2*s - 3*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - -1) + 2 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {z: 5, e: 4, w: 2, m: 4, g: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = u - 9, -11 = f + 4*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.127*-4736\nAnswer: 601.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:14 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g - 5*j + j, -4*g - 5*j + 4 = 0. Let i be 33 - -1 - (g + 4). Suppose 2*w - 1008 = i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 14 - -4) + -1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/65 and 32\/91?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 28*h**2 - 29027*h - 377699. What is t(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12748740 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 101, 144, 185, 224, 261, 296?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4827 divided by 1609\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**2 + 2*v**2 - 8 - 5 + 50*v**3 + 8*v**3 + 11 to the form x*v**2 + i + j*v**3 + n*v and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 4*n. Let g(f) = 30*f - 20. Let s be g(n). Let x be (-20)\/s + ((-18)\/(-22) - -1). Solve 0 = 2*q - 7*q - 3*k - 10, x*q + 8 = -2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(567) + -5)**2 + 1.\nAnswer: -144*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-4.2180575.\nAnswer: 2.95264025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-24) + 58394\/16. What is y rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(2\/(-780)). Let u(o) = 12*o**2 + 13*o - 4. Let y be u(-6). Let i = y - k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -23*w + 29*w. Suppose -2*k + 58 = 2*c, 0 = -k - 4*k + 5*c + w. What is the remainder when 387 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58219.38um to kilometers.\nAnswer: 0.00005821938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -33 - g**2 + 33. Let s(r) = -73*r**2. What is f(s(j))?\nAnswer: -5329*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -29*q + 1405. Let i be o(47). Let g(w) be the third derivative of 0*w + 4\/3*w**4 - i*w**2 + 0 + 0*w**3. Let y(f) = f**2. Calculate g(y(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-4 - -4) - (601 + -620).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -1, 37, 121, 269?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Suppose 8*t + 42 = 2*t. Let v(d) = 2*d**3 + 18*d**2 + 28*d + 6. Let w be v(t). What is the smallest value in 0.5, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n**2 + 220*n - 1538. What is y(7)?\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*b - 5*d + 1, -5 = 5*b + 5*d. Let q = -111 + 111. Suppose -b*c = h - 27, -3*h + 5*c = -q*c - 70. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*r**5 + 49*k**2*r - 3*k*r + 2576*r**5 - 3*r wrt r.\nAnswer: -40*k**2*r**3 + 51520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*k + l - 10, 5*l = -3*k - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18)*f**(4\/5)*f**10*f*f*f**(-14) assuming f is positive.\nAnswer: f**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26615*b**2 + 29130*b.\nAnswer: -53230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y**2 - y + 2. Let k be z(2). Suppose 13*o = 9*o + k. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-1)\/2). Calculate the remainder when (-12)\/(-1794)*13 + (-502)\/(-46) is divided by u + -1*-2*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = -3*m, 4*d - 3*m = d. Suppose 4*o = -2*n + 8, -d*o + 3*n - 3 = -18. Is o equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 11*o**3\/2 + 15*o**2 - 31*o. What is the derivative of x(g) wrt g?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 623, 1060, 1449, 1796, 2107, 2388, 2645?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*(g**(3\/7)*g)\/g)\/(g**(1\/3)\/(g*g**(-4))) assuming g is positive.\nAnswer: g**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 17\/2, 0.1.\nAnswer: -0.18, 0.1, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 take away 803?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 4*t)*(-4 + t + 4) + 3*t**2 - 4*t**2 - 5*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b. Let t be l(-1). Calculate the smallest common multiple of 10 and 0\/(-4) + 2*(0 + t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0343509 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 65*c - 117. Let m be d(16). Suppose -4*y - 823 = -m. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -108)\/((-7)\/(-14)). Suppose 5*l - 3*o - 147 = 2*l, -4*o = 5*l - k. Suppose -44 = -3*m + l. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*k + 276*k - 65*k = 71*k - 2150 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/3 + g. Let s = 12 + -16. Let y(v) = 1. Let b(w) = w**2 + 4. Let u(c) = s*y(c) + b(c). What is u(i(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3643451 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + u - 24, -4*t + 18*u - 5383 = -5511 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -31*y**2 - y + 1. Determine z(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27720 and 1785.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 35 = -2*a - 3*a, 0 = -3*a - 3*d + 27. Suppose -3*u = -a*u. Let j(x) = x + 6. What are the prime factors of j(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1 - 1)*(3*a**2 - 4*a**2 + 9*a**2)*(20 - 103 - 427).\nAnswer: 4080*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 97. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3811 + 3810. Let q(g) be the third derivative of -g**5\/20 - g**4\/24 + g**3\/6 + g**2. Let z(s) = s**2 + s - 1. What is i*q(l) - 2*z(l)?\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0324 and -13638486797.\nAnswer: -13638486797.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1445 + 221 = -5*v + 3*q, 0 = -2*v + q + 489. Calculate the highest common divisor of 135 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 15*s**2 + 17*s + 2. Let x = -116 - -132. Calculate the lowest common multiple of 48 and t(x).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - a - 119 = 0, -s - 3*a - 475 = -5*s. Let v = -34 + s. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let z be v\/(-6) - 32\/3. Let l = -7 - z. Solve k + l = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57917.\nAnswer: 57917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2039000 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooookookioooiiooio. What is prob of picking 3 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 + -174. Let k = -81.6 - x. What is the nearest to k in -1, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67944 by -16986.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from {v: 3, c: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 9. Let v be 83 - (1 + (3 - t)). What is the greatest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:52 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3186*a + 4494*a + 2 + 3678*a.\nAnswer: 11358*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -202*m**3 + 107*m**2. Let t(b) = 202*b**3 - 107*b**2. Let p(c) = -4*r(c) - 5*t(c). Find the third derivative of p(a) wrt a.\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 241*k**3 + 4 - 3 - 6*k**2 + 243*k**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/2, 2, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/24 - 0)*-2. Let w(r) be the first derivative of 0*r**4 - 4\/15*r**5 + 0*r - 2 + 1\/9*r**6 + 4\/9*r**3 - b*r**2. Factor w(g).\nAnswer: 2*g*(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179 and 1611?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*f + 123 = 5*v, -95*v + 41*v = -47*v - 41*v for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 187*c**3 - 377*c**3 + 3 + 192*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 1. Let f be q(-4). Suppose z = f + 1. Suppose -b = -3*b + z. Solve b*n + 10 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 1 - 0. Let i(t) = 5 - t**2 + 2*t**2 - 4. Let b(q) = 2*q - q**3 + 1 - 2*q + q**2. Give m*i(o) + b(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**2*q - 2*g**2 - 5*g*x - 2*q**3 + 2*q**2*x - q*x + 21*x wrt q.\nAnswer: -10*g**2 - 6*q**2 + 4*q*x - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l - 3*j + 21, -j + 15 = 5*l. Suppose l*r = -2*r + 128. Solve -4*t + r = -3*s, s - 2*t = -7 - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 102 + 94 = 0. Suppose 82*n - 5*c + 489 = 80*n, -o*c = 4*n + 908. Is n at least -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258*n**2 + n - 485 with respect to n.\nAnswer: 516*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9 and 137\/5670?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2844045 is divided by 2908.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/6 - j. Let s(p) = 8*p**2 + 3395 - 3395. Calculate s(k(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175001372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 1156 + 9*o**2 + 2*o + 1156)*(o**2 + 2 - 2).\nAnswer: 2*o**5 + 9*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 0, -w + 2*f + 24609 + 25308 = -10955. List the prime factors of w.\nAnswer: 2, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 1:10 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -92.6. Let c = -29.6 - -23. Let g = c + n. Sort g, -0.1, 1\/9 in decreasing order.\nAnswer: g, 1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15*h**2 - 6*h + 1. Let j(f) = -754*f**2 - 50*f + 3777. Let d(p) = j(p) - 7*n(p). What is the derivative of d(r) wrt r?\nAnswer: -1298*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + y)*(2*y + 4*y - 5*y)*(-3 - 7 + 1).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**3 + 222918 + 222915 - 445833 + 22*k**3.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 - 6 = -z, 0 = -4*z - 5*i - 33. Is -2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7645 - -7710. Let t = 1092 - 639. What is the remainder when t is divided by i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2185 + -2172. Solve -7*l - t = -34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77110 or -385554\/5?\nAnswer: -77110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 - 227?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 848 by -5.\nAnswer: -848\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t. Let j(k) be the third derivative of 19*k**5\/30 - 16*k**2 + 3*k. Give j(y(n)).\nAnswer: 608*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 16022856*j + 21394326199728.\nAnswer: 3*(j - 2670476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/11 and 45\/10994.\nAnswer: 120934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1629.948 - -1.948. Which is bigger: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 215. Let t = 26 - -63. Let g = t + j. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -55.9. Let i = -34.9 - t. Let k = i + 37.9999991. Round k to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -146675, -149459, -152243?\n\"Answer: -2784*q - 143891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 1, -1, -52, -3 in descending order.\nAnswer: 1, -1, -3, -41, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224604 is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -8. Suppose 2*y + 6 = -4*o - k, -23 = 4*o - y. What is the units digit of (-2)\/o + (-3332)\/(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3592465.\nAnswer: -3\/3592465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*y + 2\/5*y**2 + 72\/5.\nAnswer: 2*(y + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2576*h**2 - 42. Let o(n) = 303*n**2 + 5. Calculate -5*b(v) - 42*o(v).\nAnswer: 154*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.47 (b) -6 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*(n**1*n)\/n*n))**(9\/4)*(n**(-2)*n)\/n**(-2\/19))**(-6\/5))**(-10\/11) assuming n is positive.\nAnswer: n**(-1230\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.077 and 8522337.8.\nAnswer: 8522337.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 15*t - 15 = 0. Let -4*y**3 - y**t + 8*y + 4*y**5 - 7*y**3 + 0*y**5 + 4*y**2 - 4*y**4 = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let l = -0.6 - -0.5. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:19 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.5, 5, 1, 4 in descending order.\nAnswer: 5, 4, 1, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 80*x**3 - 368*x**2 + 384*x.\nAnswer: 4*x*(x - 2)**2*(x + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3227.4699 and -35.77.\nAnswer: -3263.2399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yplyylplpyyyl. What is prob of sequence lll?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202201 - -200?\nAnswer: -2202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 8*s**2 + 0*s**2 + 7*s - 7*s - 5*s**2 + 3 - 3 + 2*s**2 + (s + 1 - 1)*(-s + 2 - 2).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 7*h + 1. Calculate a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 24*u - 132. What is the smallest common multiple of i(6) and 426?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/(10\/7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38811300 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5559230 + 6591672.\nAnswer: 12150902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1236, -9847, -33220, -78735, -153772, -265711, -421932, -629815?\nAnswer: -896740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = 120. What is the lowest common multiple of 34 and q?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-32) + 3)\/((-25)\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*c + 4*b*v**3 + 8*c*v**3 - v**3 - v**2 wrt b?\nAnswer: 4*c + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/5 + f**4\/2 - f**3\/3 + 8. Solve h(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/24*2\/2. Let z = 221 - 221. Suppose 3*q = -5*i - 19, z*i + 6 = -3*i. What is the closest to r in -4, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -212302202963 and 2.5.\nAnswer: -212302202960.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 18. Suppose -9*k = 18 - 9. Calculate the remainder when 32 is divided by f(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 10*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.0295 millennia to centuries.\nAnswer: 680.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2409 + -2405. Which is the second biggest value? (a) -0.7 (b) -3\/8 (c) 3\/11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + 60. What is the highest common divisor of 40 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-680)\/(-280) + (-6)\/14 - 1. Let z = 21.87 - -0.13. Let b = 0.2 + 0.2. What is the nearest to y in 0.3, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130789, -261590, -392403, -523228?\nAnswer: -654065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1236, -1317, -1398, -1479, -1560?\n\"Answer: -81*u - 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 7*d + 5. Let i be t(4). Suppose -5*x = -0*x - i. Solve 0*y + x = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 170\/60 + (-2)\/(-12). Suppose 3*x - 3*y = 3138 + 1566, 5*x = c*y + 7840. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(3 + -1 + 278). Let r be 54*20\/90 + 16. What is the greatest common factor of w and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 1687900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5957392 and 86590?\nAnswer: 29786960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 31596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*2)*-2)\/(sqrt(90)*-5 + sqrt(640)*2) + 0.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from ummmozooooojjoomm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5260\/9 - -352414\/603. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 790821123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -157146.7 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 59 + 421. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/13)\/(3480\/(-45240))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230*n**3 + 2*n + 92?\nAnswer: 1380*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.95217t?\nAnswer: 3952170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 409887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2623 + 4429. Calculate the greatest common factor of 344 and z.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*h - 12029 + 1079 = 0, -4*h = -4*b + 10948. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(1300))**2 - (-2 + (0 + sqrt(1300))**2) - ((1 + sqrt(13))*-2 + sqrt(1872) + 2)) + -3.\nAnswer: 24 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -256, -878, -1842, -3160, -4844?\nAnswer: -6906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 25*u - 870. Let d be c(45). Solve 0 = -d*a + 99 - 39 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0 - 8*d + 1\/6*d**3 + 0*d**2. Let v(g) = 4*g. What is v(r(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:13 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o + 5. Let k(i) = 19*i + 8. Let p(v) = -5*k(v) + 8*l(v). Let b(f) = 47*f. Give b(p(m)).\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - t + t)*(-43389 + 43389 - 96*t) + (-4*t**2 + 6*t**2 - 3*t**2)*(2 - 4 + 3).\nAnswer: -577*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 53. Let j be m(-21). Is -85 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k - 99. Determine l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 535*w**2 - 464*w - 1389. Is i(-3) a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -0.2, 1.83?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26613*u**5 - 4*u**4 - 4*u**3 + 1915552*u?\nAnswer: 532260*u**3 - 48*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 8294\nAnswer: 165.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0866 + 0.07388. What is g rounded to four decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 77 = -91. Calculate the greatest common divisor of y and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i. Let h(m) = 2*m**2 + 0*m**2 + 4*m - m**3 - m**3 + 2. Suppose -o = 4*j + 262, -j + 6*j - o = -323. Let x = j - -64. Give x*h(d) - 4*w(d).\nAnswer: -2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s + 2. Let o(j) = 3*j**3 + 2*j**2 + 4*j + 7. Let n(h) = -2*k(h) + o(h). Let y(c) be the first derivative of n(c). Determine y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344*a = 1335*a + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = -154*x + 191. Which is the closest to x? (a) -0.7 (b) -2\/19 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - r - r + 5. Suppose -5*x - 92 = -32. What are the prime factors of f(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1132, 2, -3, 13 in descending order.\nAnswer: 1132, 13, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 - -16537070\nAnswer: 16537069.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 38*u**2 - 8. Let v be s(-38). Let g be v - (3 - (-42)\/7). Which is the smallest value? (a) -0.1 (b) -5 (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -2 - 56\/(-2). What is the common denominator of 9\/d*78\/9 and (-234)\/(-40) + 5\/20?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 5*y - 10. Let b(j) = -4*j**2 - 5*j + 9. Let w(n) = -7*b(n) - 6*l(n). Let c be w(3). List the prime factors of 460\/15 - (-4)\/c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/(-182)*14\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 4.2367, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7359215 minutes in weeks?\nAnswer: 0.001362690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 + 44*r - 4337. Calculate q(16).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + p = -31, -49 = -5*x + 3*p - 4*p. Suppose 0 = -x*v + 5921 + 3679. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 985*m + 487*m - m**2 + 498*m.\nAnswer: -m**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 4 + 1 + -2. Solve u*b + 30 = -5*r, 3*b + 7 = -3*r + 7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 + 254. Solve b - 2*b = t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p - 65. Let f be u(14). What is the third derivative of -10627*g**2 + 10544*g**2 - 22*g**f - 16*g**5 wrt g?\nAnswer: -2280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -35088*s**3 - 578*s - 289. Let h(q) = 731*q**3 + 12*q + 6. Calculate 289*h(f) + 6*m(f).\nAnswer: 731*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 - 40*u**2 - 19*u - 8. Give v(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3*m**3 - 22*d**3*m + 6*d*m**6 + 6*d*m**2 wrt m?\nAnswer: -36*d**3 + 720*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*z - 66, -26*c - 3 = -29*c + 4*z. Solve -c*n = -15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3 - 1774*h**2 - 3554*h - 1778 = 0.\nAnswer: -1, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24490 is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a microsecond in nanoseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17094 divided by -1652.\nAnswer: -1221\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s*(s\/(s\/(s\/(s**16*s)))*s)\/s*s)\/s*s)\/((s*s**(-1\/6)*s)\/s))**(39\/4) assuming s is positive.\nAnswer: s**(-923\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/120 - r**5\/15 - r**4\/3 + 6*r**2. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1052\/(-34190) + 6872\/(-585))\/(2\/9*-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*-2*-3*(-1 + sqrt(832)) + 0)**2.\nAnswer: -7680*sqrt(13) + 479632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 7 - d - 3*d - 65*d**2 + 28*d**3 + 4*d wrt d.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.64 + 9.14. What is the nearest to 2 in 2\/9, 5, t, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 364 = -4*t, 4*t = -2*k - 2*k + 356. Let o = t - 5. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12977379?\nAnswer: 3, 1441931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 34*m - 41. Let h be z(-32). Calculate the greatest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 - 11*k**2 - 9*k - 2. Is f(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*j - 107 - 426 = 0, -4*j = -8. Let s = 529 + l. Solve 6 - 12 = -s*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - -3.8. Let j be 3\/(18\/(-4)) - -2. Let g = j - 5\/6. Put g, p, -1\/3 in decreasing order.\nAnswer: p, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614934297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.5. Let l = -10 - -12. Suppose 4 = -l*c + c. What is the second biggest value in t, c, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, m: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*v = 5, 37*s + 2*v = 34*s + 29. Solve -s*d + 105 = 26*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:35 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/9 + 20*u**2\/3 - 47*u + 364\/9 = 0. Calculate u.\nAnswer: 1, 7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z + 2*d, -3*d + 15 = 2*z - 4*d. Let t = -3 + z. Suppose -5*o + y + 48 = 0, 4*o = -y + t*y + 45. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpzz when four letters picked without replacement from {f: 7, x: 1, o: 1, z: 2, p: 8}.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 14}. What is prob of picking 3 k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 0. Let b = 7 + g. Let w be (1 - 0) + (-34)\/30. What is the second biggest value in b, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Suppose j*y - g - 7 = 0, 2*y - 3 = -4*g - 1. Suppose 0 = 3*u + 3*m, y*m = u + 3*u - 28. Solve -n = u - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*p - 2*p = 0, -t - 3*p + 13 = 0. Suppose 0 = -t*a - 4*d + 16, 3*a + 0*d = 2*d + 12. Suppose a*y - 48 = -0*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 8*q**2 + q + 17. Determine d(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -824 in -1\/3, -9, 5, -3, 1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-1 - (-53)\/49). Let n = -317778 + 1283117\/4. Factor w*a**2 + 5\/4*a**4 + 1715*a + n + 35*a**3.\nAnswer: 5*(a + 7)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 11*o + o - 2*o + 14*o - 3*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -63900 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12230222 (base 4) to base 9\nAnswer: -41562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18539 and 0.05488.\nAnswer: 1017.42032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28510\/(-12)*(-1)\/(-15). Let w = -315\/2 - u. Which is greater: w or 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:54 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -3 (d) 386 (e) -0.4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((104\/(-65))\/(-2)*1020\/(-5474))\/(4\/14).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -40*n + 5. What is o(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65290.\nAnswer: 2, 5, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -2. What is the least common multiple of c and 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g**2 - 6734*g - 4315. What is n(270)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*2375634\nAnswer: 95025.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2240, -153, 1904, 3913, 5856?\nAnswer: 7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*b = 6148, 8*b - 5*b - 6 = 0. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, -5, 8, 34 in decreasing order.\nAnswer: 34, 8, 4, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((90\/24)\/((-6)\/(-16)))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20215523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 459033388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 16*r - 23*r + 6*k = -24, r + k + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228811.\nAnswer: 3, 13, 57149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8771440466 to two decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 1. Let i be k(6). Suppose -7*p + 12 + 2 = 0. Suppose -25 = -2*t + 5*q, 2*t + 10 = t - p*q. Put 1, t, i in decreasing order.\nAnswer: i, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475)*-2 + 5 - (sqrt(475)*1 + 1))**2.\nAnswer: -120*sqrt(19) + 4294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 168*q - 16086. Determine g(96).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80142548 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 15) to base 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 - 4*w - 21. Let p be r(-7). Find the third derivative of -108*f**5 - p*f**2 + 200*f**5 - 116*f**5 wrt f.\nAnswer: -1440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5267 - -2.56101. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3, -2*j - d = 4*d - 44363. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w - 4*u = 0, -21 = -3*w + 4*u. Suppose v + 5 = -h + 11, -4*v = -w*h - 3. What is the lowest common multiple of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (72\/(-234))\/((-4)\/26). Suppose 21 - 9 = 3*z - b*j, -2*z + 27 = 5*j. What is the smallest common multiple of z and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696788391.\nAnswer: 11, 67, 3659143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56614?\nAnswer: 2, 28307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 9*o - 65 = 0. What is the fourth biggest value in -1, 2, o, -3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176174 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692125 = 109*j + 111*j + 100105. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 58\/41 (c) 3\/39001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(190))\/sqrt(10).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*sqrt(1400) + sqrt(1400)))\/(1*(sqrt(72) - sqrt(72)*3) + sqrt(72)).\nAnswer: -125*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31091 - 31071. Solve -4*t + 9*t = a, 4*q + 3*t - 20 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.5 - 37. Let z = u + 9. Let p = -3 - z. Which is the nearest to -1? (a) 0.1 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b1a2 (base 14) in base 5?\nAnswer: -4201223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/30 - 5*m**4\/8 + 4*m**3 - 2*m**2 - m. What are the prime factors of a(11)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-8))**(-2\/5) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -5*v**8\/56 - v**4 + 13*v**2 + 18. Let c(s) be the second derivative of a(s). Find the second derivative of c(z) wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6116 and 9196?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 4. Let p(a) = 3*a - 4. Give 5*b(z) - 6*p(z).\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066560062.\nAnswer: 2, 3, 7, 83, 307, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 53. Let r = 45 + -45. What is the remainder when i(r) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 4*m**2 - 2 - 9*m**4 wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/29051 and -4\/3553?\nAnswer: 493867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -216523?\nAnswer: 216525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, -1842, -5152, -9780, -15738, -23038, -31692, -41712?\nAnswer: -53110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27978 - -28346. What is the greatest common factor of r and 20792?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675454 is divided by 1504.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606028 (base 10) in base 13?\nAnswer: 443018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*a - 4*w + 70, -11*a - 2*w = -637. What is the remainder when a is divided by 3\/(-15) + (-81)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11561, -46177, -103859, -184601, -288397, -415241, -565127, -738049?\nAnswer: -934001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-5)\/2)*-1. What is the second derivative of 6*g**l - 4 + 3*g + 7 - 3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + 18. Suppose a + 2*a - 6 = 0. Suppose -6 - 36 = -a*j. What is the remainder when x is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 8*w + 15, -4*n = -6*w + 8*w - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3994773 is divided by 1143.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 752*v + 8756 = 0.\nAnswer: -11, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 9*a**2 + 9*a - 6. Let h be s(8). Suppose 2*i + h*m - 44 = 0, 2*i - 5*m + m = 50. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.760793 minutes in seconds?\nAnswer: 225.64758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.49, -0.1, -3375, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 354477536?\nAnswer: 354477540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52832*k**3*p**3 + 90482*k**3*p**2 - 2*k**2 - p**2 wrt p?\nAnswer: 316992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9968.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**(-2\/15)*f**(2\/21)*f\/(f\/(f*f**(1\/5)))*f**4*f*f\/f**(-3)*(f*f*f**0*f)**(-6) assuming f is positive.\nAnswer: f**(-809\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 11*l**2 - 14*l + 23. Give x(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 100846.41 to the nearest 100.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262 + 1308\/5. Which is the nearest to f? (a) 1\/2 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99998400 is divided by 24999597?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 243*a + 16755. Calculate n(-69).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111101010011110110 (base 2) in base 12?\nAnswer: -952b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -37069?\nAnswer: 3\/37069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 272*v + 4*v**2 - 2 - 2*v - 3*v**2.\nAnswer: v**2 + 270*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/8*93\/31\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 23*a**2 + 11*a + 5. Let b be h(11). Suppose 0 = 4*d - n - 8, -d - 3 + 5 = -b*n. Solve -4 = 3*s + d, 4*l - 10 = 3*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2\/2 + 5536578*y + 5108949325014 = 0?\nAnswer: -1845526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77)*2 - sqrt(77))*-3*1)\/(sqrt(11) - ((sqrt(176)*3 - sqrt(176)) + sqrt(176) + sqrt(176)) - (sqrt(11) - (sqrt(11) + sqrt(1331)*2))).\nAnswer: -15*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let i(v) = -9*v**2 - 2*v**2 + 14*v**2. Give i(r(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8530578 and 34280?\nAnswer: 170611560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -476433, -3811395, -12863435, -30491091, -59552901, -102907403, -163413135, -243928635?\n\"Answer: -476423*z**3 - z**2 + 2*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/12, -183, 1, -0.5, -214?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-912)\/88 - -7)*1\/(-4). Let u(k) be the second derivative of -1\/33*k**4 + 1\/11*k**3 - 8*k + 0 - f*k**2. Determine b so that u(b) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 620*n**4 + 3795*n**3\/2 + 2695*n**2\/2 + 60*n - 10 = 0.\nAnswer: -2, -1, -1\/8, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.044254 - -184.173254. Let c = q - 184. Round c to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p = 0. Let v(z) = 8*z**2 - 5*z + p*z + 2*z - z**3 - 2 - 5*z. Let h be v(6). What is the highest common factor of 44 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/10)\/(2 - (-84)\/(-24)). Which is the nearest to -0.1? (a) v (b) -0.02 (c) -1\/18 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - t + 2*t + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 13*k**2 + 11*k - 33. Let t be p(-14). What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 1 - 2*j**2 - j**2)*(17 + 9 + 12)*(-j + 2*j - 4*j)*(-1 + 0 - 1)*(-7 - 5 - 7).\nAnswer: -4332*j**3 - 4332*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1731 - -3726. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 66273 - 5*g - 66273.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-19 - -15) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a**(4\/9)*a)\/a))*a**(-4)*a)**(-1\/15))**7 assuming a is positive.\nAnswer: a**(161\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4475713 or 4475714?\nAnswer: 4475714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 4 = 0. Let u(y) = y**2 + 99*y - 4189. Let z be u(32). Solve 5*k = -z*m - 10, -4*k - r*m = 9 + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 40*q**2 - 400*q.\nAnswer: -q*(q - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.3. Let d be 20\/(-2)*(-3)\/30*4. Which is the nearest to d? (a) 2 (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 385 = 4*g - 0*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 31. Let f = -10 - t. Let r(w) = w**2 + 2*w + 10. Let p be r(0). Calculate the highest common factor of p and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 75 = 69, -y = -u - 949. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 436306*o**4 - 23795147550*o**3 - 23795583858*o**2 = 0. What is o?\nAnswer: -1, 0, 109077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:27 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 23.99996. Round a to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((325\/(-156))\/25*-11)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30167 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6114.945 and 4?\nAnswer: -24459.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219950 by 10.\nAnswer: 21995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.08, -1, -0.1 in ascending order.\nAnswer: -2, -1, -0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Calculate the smallest common multiple of (-1 - -1) + 5 + y and (195\/39)\/((-1)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -78338*j + 41. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86673, 86671, 86669, 86667?\nAnswer: 86665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -6*y + 4*y + 20 = q. Let u = 17 - 9. What is the least common multiple of y and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - 16. Let y(k) = 2*k**2 + 2*k - 3. Let z = 36 - 17. What is the remainder when y(u) is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15774586.\nAnswer: 2, 41, 192373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 33*j**2 - 14*j**2 + 49*j**2.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 240657720 divided by 60164430\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.57 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 211*i + 0*i**4 - 9\/20*i**5 + 0*i**3 + 57\/2*i**2. Differentiate v(o) wrt o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**3 - 4*v**2 - 4*v + 7. Let x(f) = 5*f**3 - 4*f**2 - 4*f + 6. Let m(p) = -4*l(p) + 5*x(p). What is the units digit of m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-10)\/75*-100. Suppose -43*n + 405 = -s*n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59086632155.4 + -3?\nAnswer: 59086632152.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -30*s. Let v(t) = -10*t. What is 8*v(l) - 3*y(l)?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 488, 724?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3266861 - 3893.51.\nAnswer: 3262967.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111373549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 + 16*m - 42. Let i be z(3). Calculate the greatest common divisor of i and 672.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -36 + 4*w**2 + 36. Let r(i) = 4*i**2. What is r(o(b))?\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16880193073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*p + 4*g, 20 = 8*p - 14*p - 2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556689 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506747429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - 3*r**4\/8 + r**3\/2 + r**2. Is c(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166.811 - -0.189. Let l = 166.840738 + 0.038262. Let c = l - x. What is c rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + -104 + 9 + -11 + 4 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + 0.538. Let i = -0.15 + g. Round i to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 13*g + 5. Let v(n) = -4*n**2 + 14*n + 4. Let b(t) = 5*s(t) - 4*v(t). Let o be b(-6). Let k = -9 - o. Let r(y) = -y - 1. Give r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2366\/7561 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 - 6 - (-5 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.882 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -416, -547, -678, -809?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -2, 4 in descending order.\nAnswer: 48, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/(p\/(p*p*(p**(-4)\/p)\/p)*p)))\/p*(p\/(p*p*p**(-3\/7)\/p))\/p)\/(p**5*p**1*p*p))**(-47) assuming p is positive.\nAnswer: p**(846\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 80*q**3 - q**2 + 2. Let t be f(2). Let s(m) = m**2 + 56*m + 806. Let r be s(-34). Calculate the highest common divisor of t and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303202 is divided by 1895.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(95)\/sqrt(5)*3 + sqrt(38)\/(sqrt(2) + sqrt(6)\/sqrt(3)) + -1 + 1*sqrt(684)).\nAnswer: 9 + 57*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4581348926?\nAnswer: 2, 7, 11, 29749019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 5*f - 8270, 0 = 5*h + 2*f + 20675. Let n = -2576 - h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 6.6.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**23*(f\/(f\/(f\/f**(2\/21))))\/f)\/(((f\/((f*f**(2\/15))\/f)*f)\/f)\/f**(-5)) assuming f is positive.\nAnswer: f**(1789\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + v**2 - 3*v - 1. Let x be o(-2). Let j = x - -42. Let n(d) = -13*d**3 + d + 2. Calculate the remainder when j is divided by n(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3958394*x + 350 = 3958429*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945314741.\nAnswer: 7, 73, 157, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 42309504?\nAnswer: 42309504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20805 by -19.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 82*x**2 + x**4 - 2*x**3 - 2*x + x**3 - 82*x**2 to the form f*x**2 + n*x**3 + w*x + r + b*x**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g - 27 = 4*a, -2*g - 2 = 4*a. Suppose 3*x = -9, -27 = -7*c + 4*c + g*x. Let y = -1 + 5. Solve -4 = 5*j - y*r - 1, -2*j = -c*r - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -63\/115 (c) -13\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31574 + -1423?\nAnswer: 30151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = -2*x - 4*t, -4 = 5*x + 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 2}. What is prob of sequence it?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2202, 0.42, 32 in descending order.\nAnswer: 32, 0.42, -2202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -7. Suppose -2*t = 4*i + 3*t + 5, -i + 3 = -3*t. What is the third derivative of q**2 - 5*q**5 + i*q**2 + h*q**5 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*p**3 - 64*m*p**2 + 183750*m*p + 869*p**2 wrt p?\nAnswer: -6*m*p - 128*m + 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - y + 6*y - 48 = 0, -4*z = -3*y - 48. Let k = z - 1. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 1, n: 4, t: 1, h: 1}. What is prob of sequence tc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 0 + -2)*135\/30. Let l be (a\/(-4))\/(9\/(-168)). What is the highest common divisor of l and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -333, -350, -367?\n\"Answer: -17*n - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 116, 1, 4 in descending order.\nAnswer: 116, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u = 74 + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15264 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2*j**4 - 5*j**3\/3 + 29. Find the third derivative of c(b) wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 3. Let o be h(0). Differentiate -3*d**o - 8*d**3 - 8 + 12*d**3 with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -5 in increasing order.\nAnswer: -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1051 and 39?\nAnswer: -40989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/(j**0*j*j))\/j)\/(j\/(j*j**(3\/4))))\/(j*j**(1\/2)*j)**40)**(1\/6))**(-1\/3) assuming j is positive.\nAnswer: j**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/29 (b) -0.2 (c) 2.9 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*r*y**3 - 122*r*y - 1 wrt y?\nAnswer: 1638*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200756357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21002 (base 4) to base 15.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*j - 136*j = -8040 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 88*q**2 + 162*q - 251. Give v(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6.12. Let j = 4 - 3.92. Let n = v - j. Sort 1, n, -5.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 + 228. Solve 172*s - 170*s - z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/21*5\/30*-28. Solve 0 = 4*b + 4*m + q, -43 = -2*b + 4*m - 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -343 + 995. Suppose -7*l + 11*l = a. Suppose 70 + l = c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17411 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 6100213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1227 less than or equal to -1226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112205, 448814, 1009829, 1795250, 2805077, 4039310?\n\"Answer: 112203*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13470 by 3.\nAnswer: -4490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12205 * -2.\nAnswer: 0.2441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 25. Let n = -6914\/35 + 1380\/7. What is the third biggest value in -0.5, 1, n, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*m**2\/4 - 97*m\/4 - 9\/2 = 0. Calculate m.\nAnswer: -2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.316 times 0.23\nAnswer: -0.07268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 168547 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 18, 48, 112, 222, 390, 628, 948?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/15 - 3466*p**2. Let l(o) = -o. Let w(f) = 10*f. Let r(j) = 6*l(j) + w(j). Give b(r(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-120)*-5*195\/(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8)*(-48)\/18)\/(8\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 903473516 or 903473517?\nAnswer: 903473516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 234695.8 * -6\nAnswer: -1408174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/66 and 5\/1749.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411*s + 1142*s**3 - 88*s - 1143*s**3 - 4 + 3*s**4 + 5 + 4*s**4 to k*s**4 + j*s**3 + y + x*s**2 + q*s and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -270*s**5\/7 - 2817*s**4\/7 + 7422*s**3\/7 + 15255*s**2\/7 - 15738*s\/7 + 3312\/7 = 0.\nAnswer: -184\/15, -2, 1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14868 = 53*u + 41*u - 16*u + 174*u for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 264, 417, 570, 723?\n\"Answer: 153*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) 0.1 (c) 0 (d) 1315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 + 2*w**4 + 2*w**3 - 4*w**2 - w + 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 2 = 4*x, -g = 5*x - 12. Find the second derivative of -2*y**2 + 3*y**x + 32*y**3 + 14*y**3 + 12*y**3 - 14*y wrt y.\nAnswer: 348*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(-4 + -4 + (sqrt(1331) + 0 + sqrt(1331) - sqrt(1331))**2 + sqrt(1331) + sqrt(1331) + -2*(sqrt(11) + 0)*5).\nAnswer: 24*sqrt(11) + 2648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 + 0)*13\/26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1728)\/135*(-1325)\/10. What is the highest common divisor of q and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 20 = -4*j, -3*j + 2*j - 17 = g. Let u = 32 + g. Suppose 6*y + 8 = -u. Sort 4, 1, y.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 142856055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from ztxxxxxxxzxtxtxzxxxt.\nAnswer: 1144\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 + 64*j - 31. Let f(l) = -450*l. Calculate f(z(i)).\nAnswer: 3150*i**2 - 28800*i + 13950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1)\/(-2)*15. Let r = 21 + i. Let u = 0 + r. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 21 = -3. Let y be (-3)\/2*(-5 + 204\/36). Sort 1, 2, r, y in descending order.\nAnswer: r, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9643, 11995, 14335, 16663, 18979, 21283, 23575?\nAnswer: 25855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 2870*b + 49077. Calculate c(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*o + 6626, 4*c + 4*o - 5296 = -0*c. Suppose -7 + c = 8*m. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278891.4 weeks in hours?\nAnswer: 46853755.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:06 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135272, -135332, -135406, -135500, -135620, -135772, -135962?\nAnswer: -136196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -q. Suppose 1 = -q*o + 4. What is the second derivative of -1 + o + 14*s + 323*s**2 - 328*s**2 wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = r - 88, 3*r + 76 = -z. Let w = -511\/6 - z. Which is the smallest value? (a) w (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -d + 5*i, -4*d = 8*i - 4*i - 884. Suppose -3*m - k + d = 0, 73 = 12*m - 11*m + 4*k. Calculate the remainder when m is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) - (-4*(-2*sqrt(385) + sqrt(385)) - sqrt(385)))\/sqrt(7))\/(sqrt(320) - (sqrt(320) - 6*(sqrt(320) + 4*sqrt(320) + sqrt(320)))).\nAnswer: -sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 181 = -3*b, 5*p + 10 + 74 = 3*b - 68 - 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852, 856, 860, 864, 868?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -64\/3*m**3 + 0 - 18*m**2 - 1\/10*m**5 - 2*m**4 + 0*m - 1\/480*m**6. Solve o(f) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (294\/8)\/(3\/12). Let f = -6311 + 6416. What is the highest common divisor of f and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u - 5. Let w = 15 + -10. Suppose -w*m + 83 = -7. What is the remainder when k(5) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t**2 + 64*t - 97. Determine d(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 4 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3270 + 3977. What is the greatest common divisor of n and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.11 (b) -8 (c) -6 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 5. Suppose -7*j - 4 = -32. Let y(d) = 2 - 6 - j*d**2 - d**2 + 8. What is 3*r(w) - 4*y(w)?\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:30 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5\/1)\/(7\/28) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 2. Suppose 1 = -3*w + 4*o + 16, -2*o = 4*w + 2. Let v = 172 - -16. Let c(r) = 190 + 181 - 560 + v. Determine w*k(u) - 4*c(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401654039*r**2 - 1040727217*r wrt r.\nAnswer: 803308078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/3 + 1130*q**2\/3 - 159046*q\/3 - 160178\/3 = 0?\nAnswer: -1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + p - p - w, 3*p - 1 = 8*w + 26 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 57, 147, 273, 435, 633, 867?\n\"Answer: 18*t**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -57*g**5\/4 - 127*g**4\/4 - 81*g**3\/4 - 9*g**2\/4 + g\/2 = 0.\nAnswer: -1, -1\/3, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 33*a**2 - 30*a + 39. Let c be f(-32). Let y be (-1)\/((-1)\/(c\/(-15)) + 5). Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45686, -91383, -137094, -182825, -228582, -274371, -320198, -366069?\nAnswer: -411990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51344353 + 34?\nAnswer: 51344431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -647146 by 323573.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 30321010?\nAnswer: -30321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -25. List the prime factors of (-52)\/10*p\/2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*a**5 + 5*a**3 - 123*a**2 + a wrt a?\nAnswer: -2700*a**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336430 (base 7) in base 15?\nAnswer: 37918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 12. Let a be -6 + 7 - 2*h. Put a, 4, -1 in increasing order.\nAnswer: -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60129*d + 20048*d + 20038*d + 20043*d - d**3 + 0*d**3 + 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/104)\/(21\/28)*7*20\/70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67908*y - 67911*y - 95 = -3*n - 29, -3*n + 62 = -2*y for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4755, -8843, -12931?\nAnswer: -17019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*2*(6003\/(-276))\/(-29)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3*x**5 - 51\/4*x**4 + 21*x**3 + 6*x - 33\/2*x**2 + 27. Find y, given that s(y) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*(-25)\/(1200\/32). Let o(h) be the first derivative of 11 - y*h**6 + 0*h + 0*h**2 + 0*h**3 + h**4 + 0*h**5. Solve o(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.947 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50454 - 24715. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 16*o + 40. What is k(19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24048881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = -18*u + 415 + 130 + 417 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m**5 - 31*m**3 - 19*m**2 + 25*m + 5. Let g(k) = -4*k**5 + 10*k**3 + 6*k**2 - 8*k - 2. Let s(w) = 14*g(w) + 4*u(w). Solve s(t) = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**3 + 28*u**3 - 15*u**3.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*x + 21, -3*n - 2*n - 9 = -3*x. Let h = x + 4. Solve 2*b = h, 5*a + 2*b - 11 = 6*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4864 and 149\/228.\nAnswer: 14592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + sqrt(88) + -4*(sqrt(88)*3 + sqrt(88)) + sqrt(88) + sqrt(88)))\/sqrt(8).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Suppose -7*p = -g*p - 4792. Suppose -p = -5*x - 363. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 1. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 46028268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -41*q**3\/6 - 2*q. Suppose 5*r - 21 = -a + 34, 0 = -2*r - 3*a + 9. Let i(s) = -10*s**2 + r*s**2 - 3*s**2. Determine i(f(t)).\nAnswer: -1681*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 2*r + 101. Let k(c) = c**2 + 27*c - 67. Let q be k(-29). Let g be u(q). Solve 3*o + 0*t = -t + 18, -t + 13 = g*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2140, -16923, -57040, -135163, -263964, -456115?\nAnswer: -724288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/24 - (4155\/8)\/3. What is the hundreds digit of (40 - l) + 3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 2*k**4 + 458*k - 32*k**3 + 10*k**2 - 462*k + 4 + 13*k**3 + 17*k**3 as x + o*k**4 + u*k**2 + z*k**3 + s*k and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*h - 5*h + 3*h)*(-14*h - 18 + 18) + 6*h**2 - 4*h + 4*h)*(45*h - 3*h - 12*h) to a*h + z + o*h**2 + y*h**3 and give y.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3331 and 0.1?\nAnswer: 333.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*y - y**2 - 3*y**2 + 11*y**2 + 0*y**2 + 112 - 3*y**2.\nAnswer: 4*(y - 7)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333398, 333399, 333400, 333401, 333402?\nAnswer: 333403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a4b3 - -3?\nAnswer: -1a4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(324\/(-3429)))\/(37\/(-74))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -379*s**2 + 333*s + 11*s**2 - 89*s**2 - 39*s**2 - 66*s wrt s.\nAnswer: -992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28827 - -66791. List the prime factors of u.\nAnswer: 2, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 9. Calculate o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55.034 times -7\nAnswer: -385.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -15. Let m = -4 - w. What is the least common multiple of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -17*h + 104. Let d = h + 54. Solve a + 1 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3303*d - 10142*d + 3285*d + 3552*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15*r + 20. Let v be q(2). Let p(m) = 3*m**2 + 13. List the prime factors of p(v).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -138. Let x = 320 + v. What is the remainder when x is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: b\"What is the kth term of -66, 1203, 3268, 6135, 9810?\n\"Answer: k**3 + 392*k**2 + 86*k - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y - 13*y + 2*y - 18 + 15 to the form a*y + s and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -117850 + 5*o + 117864 + 17*o. Calculate p(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 2*w - 366*w**3 + 112 + 0*w.\nAnswer: -366*w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 5)\/((-6)\/(-4)). Solve -y*g + 2*r = 6, -4*g - 3*r = 3 + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -169*((-1518)\/(-299))\/33.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4996?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r + 28. Let n be t(-1). Suppose -2*l - l + 4 = -5*d, -4*l + 4*d = -16. Let o = 3 + l. Is n > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233223110323 (base 4) to base 5\nAnswer: -11144420420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 258*o**2 + 23*o - 93. Is y(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 1847188?\nAnswer: 22166256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 920000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16515 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.75 + 3.75. Which is the smallest value? (a) 1\/2 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 127*i - 503. Give x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqs when three letters picked without replacement from ggggsqsqsg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567, 566, 565, 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3098.247+-46438\nAnswer: -49536.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/60*3696\/112.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 2*m + 12. Let q be x(-4). Suppose 3*t + 4 = 1. What is the nearest to t in -0.2, -0.1, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 163. Let x(q) = 13936*q. Give x(f(d)).\nAnswer: -27872*d + 2271568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 - -186. Let n be ((-3)\/45)\/(4\/(-36)). Which is the second smallest value? (a) 0.2 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 3, r: 2, m: 4}. Give prob of sequence br.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 15\/6)*4. Let b = 9 - g. Solve 0 - b = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**2 + 6*l**2 + 7*l**2.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (164*-2 - -1) + (5 - 5). Let p = s + 470. What is the highest common factor of p and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*d - 14, 6*d + 2*d - x - 45 + 25 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 4. Let b be (4\/10)\/(d\/20). What is the third derivative of -4*s**4 + 5*s**b + 3*s**2 + 0*s**2 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 90447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*l + 67, -2*u + 5*l + 83 = -76. Calculate the remainder when 245 is divided by u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 40 - 82 + 12*s**2 as x*s**2 + b + t*s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 7\/60*q**6 - 3\/5*q**5 + 0 + 5\/3*q**4 + 0*q + 3*q**2 - 8\/3*q**3 - 1\/105*q**7. Factor y(i).\nAnswer: -2*(i - 2)**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3 - 15*x**2\/2 - 18*x + 1. Factor w(u).\nAnswer: 3*(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -295*w**4 - 9*w**3 - 257*w**2 - 9. Let j(v) = 148*v**4 + 4*v**3 + 130*v**2 + 4. Let f(g) = -9*j(g) - 4*n(g). Find the third derivative of f(a) wrt a.\nAnswer: -3648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3) + -11 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.9. Let s = -0.95 - -0.37. Let d = -0.18 - s. What is the second smallest value in i, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387689831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2 - -19 - -1 - (-22)\/(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -17576\nAnswer: 1\/8788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -209578.97554 rounded to the nearest one thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**3 - 10*s**2 + 11*s - 19. Let c = -49 - -41. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 minus -0.9343827161?\nAnswer: -38.0656172839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -276?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 4*d - u*d - 422 = 0. Suppose -n = -2*n + d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 - 2) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4446 - 4446.10905. Let a = k - -0.27914. Let t = a + -0.17. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21*i**2 - 4. Let b be v(7). Let u(a) = b - 1025 - a. Let d(c) be the third derivative of 7*c**5\/60 + 2*c**2. Calculate d(u(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 1. Let z(p) = 13. Let s(j) = -h(j) + z(j). Suppose r + 23 = 2*v + 3*v, -3*v - 2*r = -19. Determine s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 - 6*m. Let u be p(5). Suppose 5*y + 5 = u, -4*r = 5*y - 31. Calculate the remainder when r\/(-6)*(0 + -6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) + 2 + sqrt(3))**2 + (-2*sqrt(147))**2.\nAnswer: 8*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - -3 - -17. Let b be (-2)\/v + (-2)\/(-6). Is b at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 + -9927.078007.\nAnswer: -9888.078007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 894 + -250. Calculate the greatest common factor of v and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6) + sqrt(6)*1) - sqrt(8))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -561*h*j**3*x**2 - 172*h*j**3 - 265*h*j**2*x - 5*h*j**2 - 4*h*j*x**2 - 3*h - 2 wrt j.\nAnswer: -3366*h*x**2 - 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*z**2 - 1457060*b**2 + 286680*z**2 wrt z?\nAnswer: -4*b**2*z + 573360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 4596, -0.2, 0.011, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1512439.\nAnswer: -1512439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-2\/21)*t*t)\/t)**(-15) assuming t is positive.\nAnswer: t**(-305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(1 + (sqrt(275)\/(sqrt(55)\/sqrt(5) + sqrt(11)))\/sqrt(5) + 1).\nAnswer: 5*sqrt(5)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(-r + 1 - 1) - 7588*r - 2 + 17250*r + 26936*r + 2.\nAnswer: 36596*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -41.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152194872?\nAnswer: 2, 3, 31, 204563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - a + 1)*(-4 + 4 + 5) - 1 - a + 1 - 3 + 3 - a + 3 - 3 + a to the form o + y*a and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) -15 (c) 2\/19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 5*c - 2. Let j be d(-2). Suppose 5*g + j = 9*g. Let n(a) = a**3 - 6*a**2 - 2. Give n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**4 - 980*x**3 + 328*x**2.\nAnswer: -4*x**2*(x + 82)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 less than 2?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 not equal to 515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21506 - 21506 + 7*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.2 (c) 506 (d) 8 (e) 4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p. Let r(g) = -g. Let y(o) = -m(o) + 8*r(o). Let j(a) = -19*a**2. Calculate j(y(u)).\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006621 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21417 is divided by 1600.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - -12) + -3 + 4 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 111?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10, 184.1, 4, 9, -4, 5?\nAnswer: 184.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 805609\/1980 - 4472\/11. Let r = 2289 - 22843\/10. What is the common denominator of u and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-4\/9)*o*o)\/(o\/(o**(1\/5)*o))*o\/((o**(1\/18)*o)\/o)*(o\/o**4)\/o)**(-32\/3) assuming o is positive.\nAnswer: o**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 3051*w**2 - 56 + 3015*w**2 + 2*w.\nAnswer: -36*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 552*b.\nAnswer: 4*b*(b - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 1. Let y be q(0). Sort -2, 4, y in decreasing order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075 not equal to 164010\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14390111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12555400 divided by 572\nAnswer: -21950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451.213 + 451. Let l = -0.287 + k. Which is the biggest value? (a) 0.4 (b) -3 (c) 6\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221053 is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-8)\/(-10)*31\/(3720\/500).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 23*t - 40. Let u be w(-5). Solve -30 = 5*j + 5*s, u*s = j - 3*s - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 2, r: 1, p: 1, d: 1, a: 1}. What is prob of picking 1 r, 1 u, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-5)\/80)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000201323 (base 4) in base 10?\nAnswer: -2623611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*u - 45 = -u, 0 = 4*k - 4*u - 80. Let l = 33 - k. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h**2 + 3*h - 4. Let f(a) = -37*a**2 - 6*a + 9. Let u(j) = 13*d(j) + 6*f(j). Is 6 a factor of u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -329*j**3 - 6*j**2 + 12. Let d(x) = 17765*x**3 + 323*x**2 - 646. Determine 6*d(c) + 323*m(c).\nAnswer: 323*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, 2\/9, 3, 1\/976?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) - 3*2*sqrt(306))\/((sqrt(20) - -6*sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: -15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -300, -421, -542, -663?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2388642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide (6\/4)\/(189\/1945818)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*o**2 - 209*o**2 + 2447*o**2 - 140*o**2.\nAnswer: 2362*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65.25 - 7.15. Let l = u + -58. Which is greater: -2.9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + sqrt(175)*2)*3 + -5*(-1*sqrt(252) + 2)).\nAnswer: -25 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + s = -11832, 2*q - 10*s = -12*s + 4728. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346915 (base 10) to base 12\nAnswer: 148917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z. Let x(n) be the second derivative of -n**3\/2 - n. Suppose 258 = 5*l + 4*i, 2*i = -7 + 11. Suppose -40 - l = 30*p. Calculate p*w(j) + 15*x(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/16 + 3 - 2. Factor -m*a**2 - 1\/4*a**3 + 1\/4*a**4 + 1\/4*a + 0.\nAnswer: a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 1909*s + 3*s**2 + 1921*s - 3830*s.\nAnswer: 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:10 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let c = p - -3. Let w = 0.1 + -0.2. What is the nearest to w in -0.5, 0.4, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 5, 1, -25 in ascending order.\nAnswer: -54, -25, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -92?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(47\/235)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) 2\/9 (c) 322\/27 (d) 19\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14157*t + 39544 - 79089 + 39545.\nAnswer: 14157*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10714 - 2666 - 2680 - 8*h**2 - 2683 + 3*h**2 - 2685.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 11*d**2 - 55*d + 25. What is the smallest common multiple of x(5) and 678?\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, 2\/9, -1, 1\/2 in decreasing order.\nAnswer: 48, 1\/2, 2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:42 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9*i + 15. Let v = -6621 - -6664. Calculate the remainder when v is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25289891 and 60203?\nAnswer: 4631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - (-4)\/(-6). Suppose n + 5 = 4*y, -3*y - 6 = -t*n - 4*n. Let o = -3 - -6. Solve -q + 1 = 2*h, -o*q - 17 = -2*h - y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -17, -1\/3, 3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(3*o**4 - 4*o**4 + 2*o**4) - 5*o**4 + 3*o**4 + 4*o**4 + (2*o - 4*o + 0*o)*(o**3 + 3 - 3) - o**4 - 3*o**4 + 2*o**4 + 30*o - 30*o + 7*o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -62. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6327 and -11\/24.\nAnswer: 50616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108057, 108058, 108059, 108060?\nAnswer: 108061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1839, 3678, 5515, 7350, 9183?\nAnswer: 11014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 28. Suppose k*z - 2*m = -8, -4*z - 2*m = 5 + 1. Let x(j) be the second derivative of -j**3\/3 - j**2\/2 - j. Determine x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -190. Let h(r) = 2*r**3 - 3*r**2 - r. Let g be h(3). Let w = g - 5. Calculate the greatest common divisor of w and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 35*j**4\/6 + j**3\/3 + 47*j**2\/2 + 4*j - 5. What is the first derivative of v(a) wrt a?\nAnswer: 140*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 8*n - 53 + 72.\nAnswer: -8*n + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 98192*n\/3 + 1472830\/9.\nAnswer: 2*(n + 5)*(n + 147283)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4*3\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52360 and 544?\nAnswer: 209440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 30*u - 18. Let g be s(3). Suppose -21 = -3*w - g. Put 5, w, -1\/2, -2\/7 in increasing order.\nAnswer: w, -1\/2, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/14))\/w**(-3\/16) assuming w is positive.\nAnswer: w**(157\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 - -36.976. Let q = 37.2 - s. Which is the nearest to -1\/4? (a) 2 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2782 and -256.\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 - 9*m + 5. What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*a = -74*a + 980. Suppose a*s = 106*s. Solve 0 = -s*p + 5*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**(-4\/11))**(-46)\/((g*g**(2\/3)*g)**13\/((g*g**3\/g)\/(g\/(g*g*g*g\/((g**(2\/3)*g)\/g)*g*g)))) assuming g is positive.\nAnswer: g**(-546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/29)\/(1 + -2) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h + 27 - 5*h**3 - 25\/2*h**2. Let n(d) = -2*d**2 - 3*d. Calculate 25*n(m) - 3*u(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(5)*1)\/sqrt(5))**2 - ((sqrt(10)*1 + sqrt(10))\/sqrt(5) + -3).\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -65\/18 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 83, 282, 603, 1046?\n\"Answer: 61*h**2 + 16*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.3, 5, -1\/3, 84, 1.48?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 90202160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.1 + 57.1. What is the biggest value in -3\/4, -1, r?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26051 is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-51))\/((-7)\/(-126))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 3240*o**4 + 19488*o**3 - 39008*o**2 + 26016*o = 0. What is o?\nAnswer: -1626, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256560 is divided by 983?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 1532 - 209. Solve 344*b - p = 335*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 0*(-1)\/(-2). Suppose -18 - 2 = -5*c - 6*k, -4*c = -3*k - 16. Solve f + m = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/(-42))\/((-1)\/(1 - 3)). Solve -288 + 297 = -y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:07 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9191*-665\nAnswer: 6112015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13*k*(k\/(k**(1\/14)\/k))\/k)\/(k**(1\/2)*(k\/((k\/(k*k**(-15)*k*k*k)*k)\/k)*k)\/k))**(1\/22) assuming k is positive.\nAnswer: k**(89\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqcqqy. Give prob of sequence qq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgcbbc. What is prob of picking 1 c, 1 z, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -454\nAnswer: 7718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:14 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Suppose 16*b = 10*b + 18. Let r(q) be the first derivative of -1 - 2\/3*q**b + 0*q + 0*q**2. What is m(r(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800221 is divided by 1022.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337 + -352?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 17*d - 843 = -x, 3*d - 618 = 4*x. Calculate the remainder when d is divided by ((-3852)\/(-8))\/9 + 2\/(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1005543283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + -11 - (4 - 1) - 5) + -9?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/644 - (-2)\/(-46). Let k be (-5 - -8) + -4 + 1. Suppose -5*z + 16 - 1 = k. What is the biggest value in z, -3, r, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*-1*-3. Let l be (-6)\/34*(-65)\/(4485\/(-46)). What is the second biggest value in m, l, 0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 21*w - 26. Let m be p(19). Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163378.6l in millilitres?\nAnswer: 163378600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/5 - (1 - 2*-1). Calculate the common denominator of ((-37)\/(-3) - p)\/(336\/36) and -9\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v + 9177 = 9337. Suppose -2*l + 3*l = 3*d - 10, d + 3*l = -10. Suppose d*c = 5 + 5. Solve -3 = v*o + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6524 + -4652. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 19 + 21)*(-2*j**2 + 0*j**2 - j**2) as g + r*j**2 + k*j and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 16*w**2 - 37*w + 12. Let k be t(18). Let i(n) = -3*n + 7. What is the tens digit of i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46887.02 + -45276. Let c = -1641.0019 + j. Let p = 30 + c. What is p rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -7*k**5\/60 - k**3 + k**2. Let z(r) = 13*r**2 + 11. Give 11*a(g) + 6*z(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-8)*16\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s + 8. Let i = 1 - s. Let d(t) = -3 + i*t + 3. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/110 and -58\/363.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 301*l - 1202 - 905 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/900 - 9*j**5\/50 - 26*j**4\/15 - 308*j**3\/45 - 4279*j**2. Factor a(s).\nAnswer: -2*(s + 2)**2*(s + 77)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrgr when four letters picked without replacement from rrgrgggggrgr.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f. Let v = -4 - -5. Let z be q(v). Let u(g) = -g**3 + g + 6. What is the units digit of u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5523834 is divided by 803?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455 + -450. Put -753, 1, b in increasing order.\nAnswer: -753, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14146 + -14145.99994019. What is d rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0987 take away 0.0225739563?\nAnswer: -0.1212739563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*l - 21*l + 8*l. Let c(b) = -b. Let j(u) = 6*u - 1. Determine l*j(h) - 2*c(h).\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 7) in base 11?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-81))\/((-2)\/9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 30.\nAnswer: 11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*2)\/(sqrt(40)\/(sqrt(8)*-2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 952081878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/(-1368))\/(40\/(-32))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67, -121, -161, -181, -175, -137, -61?\n\"Answer: b**3 + b**2 - 64*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16584551*o**4 - 9960408 wrt o.\nAnswer: 66338204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1. Let v = 109 + -107. Suppose -11 + 17 = v*k. Which is the nearest to k? (a) -0.1 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) -6 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3\/2*d**2 + 17 + 5\/2*d**4 + 0*d**3 + 0*d. What is the second derivative of s(j) wrt j?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 5:12 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211951705 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85399984 = -2*a - 4*m, -2*a + 7*a - 4*m + 213500016 = 0. Round a to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11972\/103320 + (0 - (-1)\/(-9)). Let q(a) be the third derivative of -s*a**7 + 1\/60*a**5 - 1\/60*a**6 + a**2 + 1\/12*a**4 + 0*a**3 + 0 + 0*a. Factor q(i).\nAnswer: -i*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1838, -3660, -5482?\n\"Answer: -1822*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-49))\/((-4)\/(-28)). Solve -3 - 15*j - 7*j**d + 6 + 9*j**2 + 6*j**4 + 25*j**2 - 21*j**3 = 0 for j.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1233\/9590 - (-8)\/(-140).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289332 is divided by 81.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 8*x + 33. What is the remainder when w(9) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 1. Let d be 2\/4 + -1 + 9\/6. Let l(y) = y**2 + 2*y + 1. Let j(v) = d*l(v) + 2*o(v). Calculate j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*q + 496. Suppose 53*o = q*o - 4338. List the prime factors of o.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 126, -2\/3 in decreasing order.\nAnswer: 126, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 22*a**4 + 68*a**3 + 48*a**2 = 0. Calculate a.\nAnswer: -6, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 16 = -2*k, -5*r = -k - 5 - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531 - 334. Let p = 197.00000968 - x. What is p rounded to 7 decimal places?\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 17, h: 3}. What is prob of picking 2 d and 1 h?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64331*j*m*t - 9*j*m + 77*j + 2*m*t - 2*m - 15017*t + 38 wrt m.\nAnswer: 64331*j*t - 9*j + 2*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4251 + -4250.8. Let x be (-34)\/52 - (-2)\/4. Which is the nearest to k? (a) 2 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 3*h + 4*h + 5*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/30 - l**5\/5 + l**4 + 16*l**3\/3 + 433*l**2. Find p, given that v(p) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.7902 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**8\/1680 - h**7\/180 - h**6\/45 - h**5\/20 - h**4\/12 - 4*h**2. Let k(g) be the second derivative of d(g). Factor k(a).\nAnswer: -2*(a + 1)**2*(2*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291 + 293. Let q = o - -11. Calculate the remainder when q is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by (-6)\/(-2) + (-1)\/1 + 48.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 277, -3, 46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - 66690\/(-43834). Let j = 38\/31 - r. Let y = 195\/707 - j. What is the nearest to 1 in 3, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13023+-38.8404\nAnswer: -38.97063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-23 + (-87 - -84)) - (81 + 0).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61)\/(-7) - (4 + 180\/(-42)). Factor 2*p**5 - o*p**2 + 11*p**2 - 2*p**3 + p**4 - 3*p**4.\nAnswer: 2*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 95*m**2 + 2024*m - 116. What is v(-63)?\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252000 - 0?\nAnswer: 252000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-252)\/8)*(-12)\/24.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(((-24)\/6)\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 7, 5, 3?\n\"Answer: -2*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26659.1 from 2.65.\nAnswer: -26656.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 7*a + 2430. Suppose -2*f - 3*x = f - a, 2*f - 4*x = 180. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -672, -1654, -2926, -4482, -6316, -8422?\nAnswer: -10794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47251*y*z**3 + 6868*y*z + 64*z**4 + 1990*z wrt z.\nAnswer: 283506*y*z + 768*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/3 (c) 0 (d) 2\/5 (e) -3.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6517 - -78259\/12. What is the common denominator of g and 18\/(-10)*((-175)\/30 + 1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*n + 361 + 41 + 78 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 105 = 4*p - 3*p, -5*p + 441 = 3*c. Let y = p + -75. Is y 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 -2\/3 in 1, 2\/7, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8639.547096 to the nearest 10.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 16. Let j = 17842 - 17790. Is v bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/360? (a) -0.1 (b) -0.3 (c) -0.05 (d) -3 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = -5*w, 3*w + 2 = -5*i + 17. Suppose 2*l = -8 - 0, 3*o - 135 = i*l. Solve -13 = -7*x - o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 + 107 - (0 - 34)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -876298, -6, -3 in descending order.\nAnswer: -3, -6, -876298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o**4 + 8*o**3 - 8*o**2 - 8*o - 1. Let j(d) = 9*d**4 + 5*d**3 - 5*d**2 - 5*d - 1. Let f(q) = 8*j(q) - 5*p(q). Differentiate f(l) with respect to l.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (2*sqrt(448))**2 + (1 + sqrt(7))**2 + 4 + sqrt(28)\/(sqrt(12)\/sqrt(3)) + -3.\nAnswer: 4*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1142321 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 5257.3.\nAnswer: -10514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.997 + 81. Round p to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -6 - -3) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j**3 - 3*j**2 - 10. Let a be (-2)\/8 + (-11)\/4. Let f(r) = 12*r**3 + 4*r**2 + 9. Let s(q) = a*f(q) - 4*v(q). Differentiate s(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125) + 0 + sqrt(5)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, -5, -7, -11 in decreasing order.\nAnswer: 27, -2, -5, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3586 divide 145078802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -55c?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 4. Let d = 18 - 16. Suppose d*h - 1 = -4*g + 3, -30 = -5*h - 5*g. Calculate the remainder when 103 is divided by m(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 23. Let p(y) = -9*y - 2. Let f(g) = -26*g - 6. Let u(v) = z*p(v) + 3*f(v). List the prime factors of u(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -22*u**3 + 4*u**2 + 9*u + 5. Give o(-2).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -137 in increasing order.\nAnswer: -137, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -6*o. Let n = o + 4. Find the third derivative of -n*h**2 + 8*h**2 + 0*h**2 + 3*h**4 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.472144 nanometers in millimeters?\nAnswer: 0.000004472144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose q*n + g - 40 = 5*n, -5*g = 4*n + 61. Let f be n\/12 + (-2)\/8. Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 4*a)*(1 - 1 + a)*(-2 + 6 + 5).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 25*n**2 - 4*n + 4. Let o = 32 + -32. Suppose o = -x - 3*x + 28. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1339, 1348, 1345, 1324, 1279, 1204, 1093?\n\"Answer: -b**3 + 16*b + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2842 + 0.6842. Which is the biggest value? (a) s (b) 0.2 (c) -28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + 1) - -5 - 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-16)*2\/40*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 - (-2625)\/(-20). Let f = v + 319. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172616 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:48 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(-120)\/16. Suppose j*p - 8 = 2. Solve t + t = -p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20*c**2 + c + 8. Let a be o(-4). Let n = 325 - a. Solve -t - n - 5 = g, 2*t + 27 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98580060 divided by 8215005?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 11*d**2 + 15*d + 10. Give l(-11).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4 - 16528*l + 8260*l + 8269*l. Let z = 1 - 2. Let b be z\/2 + (-5)\/2. Calculate t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeeeeeeooeeo. What is prob of picking 4 e?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36526 and -1.084.\nAnswer: -39594.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -619 and 188491.\nAnswer: 187872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, m: 9}. What is prob of sequence eme?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029.07 - 7.2742?\nAnswer: -1036.3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*h*l**2*n*p**2 - 2*h*l**2*n*p + 5*h*l + 26*h*n**2*p - 78*l**2*n**2*p**2 - 4*l*n**2*p wrt p.\nAnswer: 282*h*l**2*n - 156*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (208\/40)\/(8\/14) and -36\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -634 divided by 3111.\nAnswer: -634\/3111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - l = -111 + 36, -36 = -u - l. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*o, -2*w + o + o - 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*i + 1039*i + 44*i**2.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d = -68*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and 1 + -2 + 18\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2895211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 7.4, 14, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spo when three letters picked without replacement from {s: 2, p: 2, k: 1, r: 1, o: 1, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-35))\/((-21)\/35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24935.34 from 0.37.\nAnswer: 24935.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7, p: 2, n: 2, u: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 41285250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84223 is divided by 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Let c(j) = j**3 - 3*j**2 - 5*j + 5. Let o be c(w). Which is bigger: 1\/55 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - n = 21, 4*o - 4*n = 7*o + 21. Let s(z) = -2*z**2 - 14*z - 9. Calculate s(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 3, y: 2, z: 1, j: 3, l: 1}. Give prob of picking 1 l, 1 j, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -2. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*f**2*k - 531965941*f**2 - 2710829*k**4 wrt k.\nAnswer: 43*f**2 - 10843316*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2. Let o(l) = 6*l - 33*l + 14*l + 34*l. Determine o(u(z)).\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-114)\/(-12) - 11)*-10. Solve -9 = -2*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40cbd9 (base 14) to base 2.\nAnswer: -1000010101110101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11300120 is divided by 289743?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/9))\/(i*i**11*i))**(-1\/37))**45 assuming i is positive.\nAnswer: i**(550\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5 and 128132?\nAnswer: 448462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (127 + -124)\/((9\/(-2))\/(-3)). What is the third derivative of 51*c**3 + 169*c**r - 87*c**2 - 120*c**2 wrt c?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 301949 - 1?\nAnswer: 301948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 424820.99 times -5\nAnswer: -2124104.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/4 - (4932\/(-8) - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/120 - z**4\/48 - z**3\/6 - 9*z**2. Determine n so that m(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*n + 334*n + 334*n - 4 = -4*q, 0 = 6*q - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*0\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 5 + 2 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99703 or 1112?\nAnswer: 99703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2b88?\nAnswer: -2b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*b**2 + 3101618*b - 58247728.\nAnswer: -38*b + 3101618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - 2?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 4 = 0. Let g(y) = 3*y - 1. Let u be g(c). Let a(s) = -u*s + 0*s + 3*s. Let o(d) = 3*d**2. What is a(o(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9878127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 6*j + j + (3 - j - 3)*(0 + 0 - 4) - 2 - j + 2 + (-5*j - j + 5*j)*(1 + 3 - 1).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 176 + 3*z**2 - 6*z**2 + 4*z**2 - 186 + 20*z**3 in the form m + i*z**3 + k*z + w*z**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + 11*a**3 - 52*a**3 + (1 - 1 - 2*a)*(-a**2 + 1 - 1) to f*a + s*a**2 + x + m*a**3 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let s(l) = 2*l - 4. Suppose 0*j - j = 2. Let r(c) = -c - 1. Let n be r(-7). Suppose -2*d + d = -n. Give d*u(y) + j*s(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -21016235976.\nAnswer: -21016235977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*w - 73, -2*w + 76 = 5*y - 4*y. Calculate the remainder when y is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 24*v + 2856 = 0. Let n = v - -829. Does 56 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onxxxnxnxnixorx. What is prob of picking 1 n and 1 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -14*w + 19*w. Let s = w + 1. Solve 0 = 5*o - 2*o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*i = -66*i + 5560000. Round i to the nearest 10000.\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 97 + -3 + 3. Let u = 222 - v. What are the prime factors of u?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = 0, 5*m - 5*j + 3662 = 59862. What are the prime factors of m?\nAnswer: 2, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s. Let x = 536 + -532. Let w = -10 + 23. Solve s = j - d, -3*d - 1 = x*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.07, 2\/15, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8638 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 169*g**3 - g**2 + g - 1. Calculate the least common multiple of 18 and y(1).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.469551 millilitres to litres.\nAnswer: 0.002469551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 23. Let r be v(-7). Find the first derivative of -20*y - 47*y - 106 - 50*y - r*y wrt y.\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19458115*n + 35688118 wrt n?\nAnswer: -19458115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6349 or -387327\/61?\nAnswer: -387327\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 e when four letters picked without replacement from fffemfxxxmfefex?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100161, 200313, 300471, 400635, 500805?\n\"Answer: 3*i**2 + 100143*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t + 2*t)*(0*t + 0*t - t) + (2 - 4 + 0)*(0 - 2*t**3 + 0).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 14*a**2 + 98*a.\nAnswer: a*(a - 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 1. Let d(p) = -5*p - 5. What is -d(m) - 5*r(m)?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27071 divided by -208\nAnswer: -27071\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16615763 divided by -25841?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/30 + 5*n**4\/12 - 51*n**3\/2 + n**2 + 6*n. What is the derivative of i(p) wrt p?\nAnswer: -4*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 9. Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*r + 0 - 5)*(-3*r**3 + 3*r**3 + 3*r**4).\nAnswer: 6*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11101212 (base 4) to base 15\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 121*t**2 + 139*t + 11. Give n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 j when four letters picked without replacement from {k: 7, j: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33148980 divided by -15\nAnswer: 2209932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 43890*u**2 + 56*u + 158. Let x be s(-3). Round x to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 40*r**2 - 36*r - 36. Let y(u) = u**2 - u - 1. Determine 2*x(j) - 72*y(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2 (b) -152\/13 (c) 0.14629\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 160410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 151 - 151)*(2 - 3 + 2).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - v = -2*v - 11, 5*q - 5*v - 35 = 0. Let c(n) = n**3 - 2*n**2 + 15*n - 28. Let m be c(q). Let s(p) = p**2 - p. Give s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + -1 + (4 + -5*(1 + sqrt(2057)) - (sqrt(2057) + 0 + 5 - (sqrt(2057) + 0)*-2)))**2.\nAnswer: 880*sqrt(17) + 131677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 82?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1618 + 1618 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyyyiy. What is prob of sequence iy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1740132 * 4.\nAnswer: -6960528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*s - 13, -2*s - 13 - 10 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 2*l - 51. What is the units digit of a(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 17. Solve u = -h - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16*w**2 - 137*w**3 - 16*w**2.\nAnswer: -137*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**5\/2 + 1485*m**4\/2 + 41275*m**3\/2 + 231795*m**2\/2 - 137275*m = 0.\nAnswer: -17, -10, 0, 1, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 1097330.6 - 167.8?\nAnswer: 1097162.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45489 divided by -5\nAnswer: -45489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ffc2 (base 16) to base 13.\nAnswer: -923a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l**2 - l + 22. Let g be b(0). Let t = g - 22. Solve -1\/3*f**3 + 1\/3*f**2 - 1\/3*f**4 + t*f + 1\/3*f**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.196 - -0.304. Let x(m) = -m**3 - 7*m**2 - 5*m + 7. Let q be x(-6). Sort l, 4\/7, q, 1\/4.\nAnswer: 1\/4, l, 4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4506.667ng?\nAnswer: 0.000000004506667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 635 and 21209.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27576*i + 27580*i + 112 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 6. Let m be (-81)\/(-21) + s\/21. Let r = m - -9. Calculate the greatest common divisor of r and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 4*a - 8352. Calculate the smallest common multiple of a and 638.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.692591348 rounded to 2 decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -13*t**5\/60 - t**4\/24 + 282*t**2. What is y(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5409.66 + 6\nAnswer: 5415.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 0*m - 5*m + 5*m.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.94. Let c = -5.94 - i. Let l = c + 5.97. Is l at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (8 + (6 - 11) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.16 (b) 5 (c) -29 (d) -0.557 (e) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 <= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 = 2*b, -13*u = -8*u - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {k: 1, y: 3, t: 1, o: 7, u: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-2*sqrt(170)*-6 - (sqrt(170) + (sqrt(170) + 2*sqrt(170))*1)))\/((sqrt(240)*4)\/((sqrt(6) - (sqrt(6) - sqrt(6)*-2))*-2)).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(117) - sqrt(13)).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**3 + 804*w**2 + 1452*w - 480.\nAnswer: -3*(w - 40)*(w + 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754228 is divided by 930.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 33. Let l be q(-15). Solve 3*n - l = 4*h - 2, 0 = -3*h - 5*n - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s + 14 = -5*s. Let m = 14\/3 - 25\/6. Which is the nearest to -0.2? (a) s (b) 0.3 (c) m (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -2117*z**8\/56 - 71*z**4\/6 + 2*z + 635. What is the third derivative of g(r) wrt r?\nAnswer: -254040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -7.5, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/20)\/(2\/455). Suppose g - 5*p - 613 = 0, -g + h = 4*p - 467. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -1 - 1*2. Let q be l\/(-1 + -2) - -2. List the prime factors of 4 - (-2 + q + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 9. Suppose -3*a - 33 = -12. Let l be g(a). Suppose 5*v - 2*j + 1091 = 0, -l*j + 651 = -3*v + j. Round v to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 456.67 - 454. Let j = a + -0.07. Let u = j - 6. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 - 771 = -5*m. Suppose 0 = 4*t - 4*x - m, 2 = -2*x + 4. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*(j\/(j**(-1\/2)\/j)*j*j)\/j*j*j)\/j)\/j**0*j**1\/((j*j**(-2\/9)*j)\/j*j)*((j**(-2\/3))**26)**5 assuming j is positive.\nAnswer: j**(-1439\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - m**2 - 2*m - 1. Let r be g(-2). Let z = r - 11. Suppose -4*i - h - z = 0, h = -h. What is the nearest to 0.2 in -1\/3, -3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let p = 59 + -55.3. Let d = -6.7 + p. What is the smallest value in d, c, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*f*h**2*t + 291*d*h**2*t + 330*d*h**2 - 2*f*h**2 + f wrt t?\nAnswer: d*f*h**2 + 291*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 577650*g**2*z**2 - 11*g*z**2 - 39*g*z - 114*g + 2*z**2 - 2*z wrt g?\nAnswer: 1155300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 4. Let t be 2*((-189)\/(-6))\/(-3). Let n(i) = 9 + 9 + 36*i + 13 + 10 - 20. What is t*d(j) - 4*n(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 3 - 5*x**3 - 2. Suppose 2*y = -0*y + 4. Suppose -a + 10 = a + 4*c, -y*a = -4*c + 6. Calculate n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48560298 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: Calculate -12 + -2 + 13 + 15 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/186 and -35\/5177?\nAnswer: 31062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -1645302?\nAnswer: -11\/1645302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/3 - 15\/(-4). Let z be (2\/4)\/(3\/(-6))*-1. Put s, 0, z, 3 in descending order.\nAnswer: 3, z, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 1222?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -957 + -433c?\nAnswer: -4c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13344 and 26016.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 1150 - 1144. Suppose -283 = -a + h - 3*h, 4*a + 5*h = p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**7\/57 - 8*n**6\/57 - 51*n**5\/190 - 5*n**4\/57 + 8*n**3\/57 + 6*n + 7. Let k(b) = 0. What is b?\nAnswer: -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1924461 by 231.\nAnswer: 8331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(240) - sqrt(240)*1) + 5*-2*sqrt(240))\/((sqrt(1200) - sqrt(1200)*-1)*-1))**2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3*v**2 + 2*v**2)*(0*v + 3*v - 2 + 0*v).\nAnswer: -3*v**3 + 2*v**2 + 30*v - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25900, -53393, -84066, -119509, -161312, -211065, -270358?\n\"Answer: -265*l**3 - 25638*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 2)*(28*b + 12*b + 29*b).\nAnswer: -207*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 18. Let p be b\/(0 - 3) - -6. Suppose -18800016 = -2*i - 4*y, 2*i + 9399988 = 3*i - p*y. What is i rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0641 minus 0.0403559?\nAnswer: -3.1044559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((3 - 2) + -4 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764481 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -441 - -441.06. Suppose -4*x + 3*n - 1 = 0, -n = 5*x + 4*n + 10. Which is the nearest to -0.2? (a) z (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(162)*2 + sqrt(126)\/(sqrt(14)\/sqrt(2)))\/(5*-1*sqrt(576)).\nAnswer: -7*sqrt(2)\/40 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(20) - (-4 + (sqrt(20) - (sqrt(20) + sqrt(500))))))**2.\nAnswer: 2400*sqrt(5) + 18400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.2896 years in decades?\nAnswer: 35.02896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7364814 months to millennia.\nAnswer: 0.00006137345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (sqrt(720) - 3*sqrt(720)) - sqrt(20))\/(-1*-2*sqrt(4)) + 4 + 1 + sqrt(605) + -5*1*sqrt(605).\nAnswer: -95*sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 4 + 1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {c: 1, p: 18}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 5*w + 6. Let j be r(-5). Let d = 10 - j. What is the units digit of (-12)\/(1 - d) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 24*a + 2. Calculate the remainder when z(10) is divided by (32\/(-2))\/(-2 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 7668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k**4 + k**4 - 19*k**4 + (0*k + 7*k + 0*k)*(-3*k**3 + 4*k**3 - 2*k**3).\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 21 + 2 + (27 - 14) + -22 + 18?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131720?\nAnswer: 2, 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 27 = -u. Let l be 83\/9 - (-16)\/(-72). What are the prime factors of 6\/l + 138\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-16)*(-35)\/(3255\/1984).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/145 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v**3 + 7*v**3 - 7*v**3)*(4 + 7 + 6).\nAnswer: 391*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1376?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/((-2)\/(-5)). Let r be 72\/(-2) + (q - -2) + -3. List the prime factors of ((-9)\/(-1))\/(r\/(-18) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*k*v**3 + 16*a**3 + 2*a**2*v**2 + 80*a*k**2*v**3 - 5*a*k**2 + v**4 wrt v.\nAnswer: 6*a**3*k + 480*a*k**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116428 is divided by 597?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 - 654*r**4 - 30840*r**3 + 518730*r**2 + 30843*r - 518076 = 0. What is r?\nAnswer: -123, -108, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76358*x - 9672 = 76234*x for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c**3 + 0*c)*(-12 - 11 + 1).\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1221)\/(-444) - (-3)\/(-4). Let w be 3\/((12\/16)\/1). Solve l*z - 3 = -z + w*g, -4*g + 7 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405a (base 13) in base 3?\nAnswer: 110011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 173*d**2 + 2*d. Let f(g) = -8*g**3 + 693*g**2 - 9*g. Calculate 2*f(a) + 9*h(a).\nAnswer: 2*a**3 - 171*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d + 300*d = 5734914 + 13834214. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4 - 59512*t**3 + 178548*t**2 - 178552*t + 59518 = 0.\nAnswer: -29759, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*l - 24. Let o(m) = 4*m**2 + 302 + 2*m**2 + m**3 - 159 - 151. Calculate o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22595788 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 + 6*s**2 - s**2 - 4. Let l be x(1). Suppose 2*q + 2 = l. Put q, 3, 4 in decreasing order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10 + (-15)\/15*148\/(-4) is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-38)\/48 - 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 2*r + r**2 - r.\nAnswer: r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)*j**(-6)*j*((j*j*j*j**(-4\/7))\/j)\/(j*j\/j**4))**(-1\/12) assuming j is positive.\nAnswer: j**(61\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11435, 10039, 8643, 7247, 5851, 4455?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 4\/74089059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 26. Let k be a(-12). Suppose 3*b = 5*r - 0 + 4, 0 = -b + r + k. Solve b*g = 4*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/2 of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 45*j - 244. Calculate s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -10 + 1. Let j be (2 - s)\/(-2 - -4). Let u = 2\/345 - -656\/5865. What is the nearest to -0.1 in j, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264600 and 24.\nAnswer: 264600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2920 * 93.\nAnswer: 271560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 20*i**2 - 36*i + 25. What is the lowest common multiple of 28 and d(18)?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122231967 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/722 in 0.03, 3, -2251?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muug. What is prob of sequence gum?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17500 is divided by 1093?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(7865\/605 - (-16)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 680 - -1238. Suppose -3*u - 763 = -2*l, -8*u + m = 5*l - 5*u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 16) to base 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146, -75, -14 in increasing order.\nAnswer: -1146, -75, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267465 = -36*n + 4860419. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35713\/6 + 5974. Find the common denominator of (267\/81)\/1 + -6 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1872727*d**4*v**3 + 144*d**2*v**3 - 4*d*v**2 + d*v - 550*v**3 + 2*v**2 - 4*v - 4 wrt d?\nAnswer: -22472724*d**2*v**3 + 288*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9133838*f**2 + f. Let u(y) = 2*y. Calculate r(u(k)).\nAnswer: -36535352*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -64?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2754375*o**5 + o**4 - 21181416*o**2 wrt o?\nAnswer: 165262500*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttf. Give prob of picking 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + (-11 - (-9 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - w - 5319, -2*q = -0*w + 5*w - 2643. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8)*((r*r*r\/((r*r**(-5\/4))\/r))\/r*r)\/r*r**(-1\/2)\/r*r\/(r*r*r**(1\/4)*r))\/((r**0)**(-2\/23)*((r*r**7)\/r)\/(r*r**2)) assuming r is positive.\nAnswer: r**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 7. Let b be l(-3). Let i(d) = -121*d**3 - 2*d**2 + d. Let r be i(b). Let a = r + 272. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252218456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s = -51407 + 53311 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-448)*-8)\/((-45)\/(-6))*(-107)\/(-321).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -14. Suppose -5*o = -k, 2*o + 141 = -5*m - o. Let c = 32 + m. Solve 0 = w + c*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -3*j + 6, -3*k + 13 = j. What is the second derivative of -456 - v**2 - 5*v - k*v**2 + 456 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (-35)\/5 + 3. Solve 8*t - y = 9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5927 bigger than 302350\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 3180797\nAnswer: -120\/3180797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 889102427 to the power of 1\/2, to the nearest integer?\nAnswer: 29818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyhyhhhjhhyjh. What is prob of picking 1 y and 1 j?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 4*c - 5. Let l be g(5). Suppose l = -3*n - n + 200. Suppose 5*h - t = 8 + 49, 4*h = 3*t + n. Calculate the remainder when 19 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12695 (base 10) in base 2?\nAnswer: 11000110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325948\/(-34923))\/(((-35)\/18)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 116 = 2*r + 15*u, 0 = -8*r - 2*u + 488. Let b = -155 - -275. What is the highest common divisor of r and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 + 10*o**3 - 6 + 3 wrt o?\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - (9 + -18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12*p - 23. Let v be b(2). Let r(u) = 7222*u**3 - 18*u**2 + 20*u - 1. Is r(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8700*n + 3 - 3 - 1126*n.\nAnswer: 7574*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 67.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 902?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/18 - 2\/9. Let k = 947643 + -947648. What is the third smallest value in n, k, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let n(f) = f**2 + 22*f - 52. Let l be n(-24). Let v be 6\/l*(7 + -9). Solve -5*d = -v*o - 20, -m = -0*d - 3*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.004+0.1194\nAnswer: 0.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.34 and 3894.52.\nAnswer: 5218.6568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*v**3 - 427*a + 54*v**4 - 139*v**2 - 9*v wrt v?\nAnswer: -36*a*v + 648*v**2 - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 552519370 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 2*d + 76 to t*d + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 92. Let l be p(-25). Suppose 2 = 10*g - l*g, -a - 2*g + 55 = 0. What is the greatest common divisor of 53 and a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/5, -0.4, -5, 43?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6866 and 606.81.\nAnswer: -6259.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 3*u**2 - 5*u - 3. Let c be (-26)\/10 + (-6)\/15. List the prime factors of i(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h + 2. What is u(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012932303 to seven decimal places.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 4 = 13*b - 18*b, -11*v = -14*v + 2*b + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -586240.\nAnswer: -1\/293120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cscxxcsbbscsscsscu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58323398 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2646770308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1995 times 5\nAnswer: -9975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) + 903\/(-2365)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14371, -114947, -388027, -919891, -1796819, -3105091?\nAnswer: -4930987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -23281*p + 116405. Determine b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 7*p + 17 + 10*p**2 - 4*p**2 - 37 + 27. Determine g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b - 3 + 14*b + 6*b**2 + 11*b - 10*b. Let r be l(-5). Solve -r*x - 2*m + 4 = 0, -3*x = x - 4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/14 (b) 5 (c) 1.6695 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3169768 by -19688.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1532 + 1530. Let r(s) = -4*s**3 - 2*s**2 - 2*s + 2. Let t(l) = -9*l**3 - 3*l**2 - 5*l + 5. Calculate q*t(a) + 5*r(a).\nAnswer: -2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p + 1. Let w be r(1). Let i = w + 23. Solve i = 2*c - 2*f - 3*f, 0 = 3*c - f - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8776)\/32*-12 + 8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.002 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 55282.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - h - 13 = 0, -2 = -3*k - 3*h + 31. What is the third derivative of 24*s**3 + 2*s**5 - 24*s**3 + k*s**2 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -341*b**3 + 4*b**2 + 4*b + 2. Let n(l) = 340*l**3 - 3*l**2 - 3*l - 1. What is 4*n(v) + 3*w(v)?\nAnswer: 337*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (-3 + -2 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -16*x - 29. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8541335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2388*i + 155522. Calculate x(-67).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3232369 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 2*z + 3. Let d be g(3). Suppose -4*r - 2*k + 210 = -d*k, 5 = -5*k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -5.8094.\nAnswer: -2.8094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8195426513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 2, -46, -148, -322, -586?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 132.\nAnswer: 13\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*n = -29, -2*k - 21 = -5*k + 3*n. Let i(f) = f + 3*f - k*f. Let y(a) = -a**2. Give y(i(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317272 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-2*r + 0*r - r)*(2127*r**2 - 2143*r**2 + 10 + 8).\nAnswer: 96*r**3 - 108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 2*g + 5. Calculate q(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 896237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300433 (base 5) to base 9.\nAnswer: 37408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1812 - 1.8188. What is the nearest to l in 3\/10, 5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7393.1102 rounded to the nearest integer?\nAnswer: -7393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/5 + -21\/10. Let d be -17 + (15652\/(-70))\/(-13). What is the second biggest value in d, 2\/7, -3, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7500162 is divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5095 and 19\/1410.\nAnswer: 1436790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15500, -15479, -15420, -15305, -15116, -14835, -14444, -13925?\nAnswer: -13260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b + 3 = 0, 2*b + 2 = -4*r. Suppose -r - 5 = -n. Suppose g + 105 = n*g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 - 3*t + 5. Calculate u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 + (-9675)\/129)*(12 + -13)*(-3)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, -31, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(160\/(-5))*(-8)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.015 (b) 27 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 16*w**2 + 16*w - 14. Let l be n(-15). Let q = 31 + l. Let f be 5 - (-6)\/((-6)\/q). Put f, 5, 1 in descending order.\nAnswer: 5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x - 9. Let c be d(-4). Let r be (2*c)\/(3\/(-27)). Which is greater: r or 16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*-1*33*(-4)\/(-36). Let r = -134\/3 - v. What is the closest to r in -8, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482133, 964215, 1446297?\nAnswer: 1928379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 11*v + 3 = 0. Solve -3*g - 12 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1526683 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/11 and 21\/9430.\nAnswer: 103730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/40 - v**4\/8 - v**3\/12 + 3*v**2\/4 - 2*v + 6. Factor d(h).\nAnswer: (h - 3)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*s + 2*s + 14, 5*b + s = 8. Let r be -2 - (-1*27 - b). Let a = r - 20. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-46)\/((i**(-2\/15)\/i)\/((((i\/i**(1\/5))\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 13*y - 6627. Suppose 0 = -5*h - 3*n + 2757, 9*n - y = -4*h + 10*n. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(1 + -6 - -6). Is 3392\/(5 - 1) - (-6 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1 + 64*z**2 - 63*z**2 + 8*z + 9*z - 3*z. Suppose -4*l - 24 = -5*u - 3*l, -12 = 3*l. What is the tens digit of s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 + 2*y - 3*y**2 - 4*y**3 - 1 + 4*y**3 - 4*y**3. Let d be b(1). Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 36\/13*h - 16\/13 + 10\/13*h**2 = 0?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 1. Let m be (-2)\/(-8) + 13\/(-4). Let q(t) = -t**3 - 2*t**2 + t + 3. Let c be q(m). Calculate the least common multiple of 3 and n(c).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 23*p + 141*p + 820 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m**(-5\/4))\/(m**(-1\/12)\/m*m*m**(2\/25)))**(-8) assuming m is positive.\nAnswer: m**(-902\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 3 + 141 = 0. Suppose 3155 = 5*g + 5*c, -5*g = -z*g + 5*c + 1925. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 15) to base 8.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 833?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 23*l - 47. Give v(9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23852299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -41 + 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 1)*(2 - 6\/4). Suppose 5*d - c*p = 1175, -4 - 8 = 3*p. Calculate the highest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.167171 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21112000001122 (base 3) to base 13\nAnswer: -a9b920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3211310352?\nAnswer: -3211310354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16055*c**3 - 25040*c**3 - 20255*c**3.\nAnswer: -61350*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 14*a + 7*a + 81 - 65*a - 30*a - 147.\nAnswer: -102*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:42 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3859609 is divided by 1818?\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -62*w - 2111. What is t(-34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17132 + 40756. Suppose -k = 14*t - 22*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3*l + 12. Let v be y(5). Suppose -2*a = 2*j + v*a - 34, 4*j = -3*a + 48. Suppose -13*w + j*w = -844. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*d - 21 = 0, -39173*m + 3*d = -39177*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 246\/22 - (-4)\/(-22). Suppose 3*l - z - 55 = 0. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - y - 7. Let h be l(-2). Which is the closest to 0.1? (a) 4 (b) -6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k**2 - 177*k - 22. Let v be s(9). Let r = -35\/6 + 179\/30. Which is the third smallest value? (a) v (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624438 is divided by 62483?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.2, -0.05, 6, 2\/13, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 319*m**7\/210 + 465*m**3\/2 - 938*m**2. Find the first derivative of t(v) wrt v.\nAnswer: 1276*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 4 + (-44 + 48 - 34)*(12 + 1 - 3))*(-5 + 0 + 3)*(7*p + 5*p - 15*p) to a + x*p and give x.\nAnswer: -1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -17. Which is the nearest to -1? (a) 2\/9 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*h - 31, -2*p - 15 = -3*p - 5*h. Sort -3, 0, p, -4 in decreasing order.\nAnswer: 0, -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -956278 <= -956272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 211*r\/3 + 214.\nAnswer: -(r - 3)*(r + 214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003837307 to 6 dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(18) - sqrt(18)*1)*-5*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q - 3*v - 7, -3*q + 4*v + 35 = 0. Solve -18 = -3*i - q*c - 28, i + c + 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57456321 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:19 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1023168 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 2*c + 287 = 0. Suppose -c*g = -38*g - 312. Let o be 1*5\/(20\/g). What is o rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -920, -1331, -1742, -2153?\n\"Answer: -411*z - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/944 and -61\/48?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 j when four letters picked without replacement from zoozjjzwmzjwww?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 4*j + 46. Let y be h(0). Let p = -227\/5 + y. What is the second smallest value in -10, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f - 27*f**2 - 3*f**4 + 27*f**2 + (-f**4 + f**4 + 2*f**4)*(3 + 1 - 6).\nAnswer: -7*f**4 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -472 + 795. Let b = -321 + x. Let 6 - 3\/2*d**b + 0*d = 0. What is d?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4163322, -4163326, -4163332, -4163340, -4163350, -4163362, -4163376?\n\"Answer: -l**2 - l - 4163320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 154 + 24. Suppose q - x = -9. Suppose -y - 42 = -q*y. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(102)\/(sqrt(6)*-3 + sqrt(6)) - sqrt(17))**2 + 4.\nAnswer: 161\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(65) - (1*-5*sqrt(65) - sqrt(65))) + sqrt(65))*-5)\/((sqrt(40) - (sqrt(360) + sqrt(360) + 1*sqrt(360)))\/(1*sqrt(512))).\nAnswer: -80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/17, 2, 4\/31, -3 in ascending order.\nAnswer: -3, 4\/31, 9\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1096\/265 - 3\/212. What is the common denominator of w and -17\/376?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - -187218?\nAnswer: 187218.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62478, 124993, 187552, 250161, 312826?\n\"Answer: r**3 + 16*r**2 + 62460*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(931)*1)*-6 - ((sqrt(931) + 2 + -3 - sqrt(931) - sqrt(931)) + 3 + -1 + sqrt(931) + sqrt(931) + sqrt(931)))**2 + 3.\nAnswer: -672*sqrt(19) + 59623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 173*j - 576. What is the units digit of s(-80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.985827754 to three dps.\nAnswer: -0.986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3587 = -68*d + 2737. Calculate the remainder when 645 is divided by d.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 1, -0.01, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 - 3*b**4\/2 - 18*b**3 - 108*b**2 - 49*b. Determine x, given that g(x) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 3. Let p = y + 6.6. Let v = 16 + -52\/3. What is the third biggest value in v, p, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 830564 = -3*w - 830714 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-2*6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 10. Suppose 0 = 3*w - 6*w - z. Let o be (378\/819)\/((-40)\/(-520)). Which is the nearest to 3\/5? (a) o (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-7)*p\/p**(-2\/15) assuming p is positive.\nAnswer: p**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 8. Let l be v(-8). Let i = 45 + -13. Suppose 9*m = 11*m + i. Is l greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 6636 + 1548. Let s = h + -675. Solve -3*g = -5*w - 5*g - s, 5*g = -w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 11792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)\/(d*d**(4\/3)*d))\/(d**(-4)\/d*d*d*d\/(d\/(d**(-4\/5)\/d)))*(d**(-2\/5))**(-10)\/(d**(-1)\/d)**(1\/22) assuming d is positive.\nAnswer: d**(697\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20 - 5)*4\/(-6). Let r = 6 - n. Let o(g) = -7*g - 99. Calculate the remainder when o(-23) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2355*o**2 + 2287*o - 13. Let t(c) = 589*c**2 - 571*c + 3. Let z(b) = 9*t(b) + 2*u(b). What is the second derivative of z(q) wrt q?\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 60282*p**3 + 4*p**2 + 5*p + 8. Let v be b(-4). Let d be (v - (6 + -2))*(-10)\/(-3). Round d to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63046.\nAnswer: 2, 29, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101171519 a multiple of 463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 7*o + 252. Let u be (-7)\/((-441)\/o) + 16798\/(-7). Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -40*k**2 - 2*k + 13. Let g(x) = 19*x**2 + x - 6. Give -13*g(y) - 6*p(y).\nAnswer: -7*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + sqrt(5) + -5.\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 + v**5\/15 + v**3\/2 + 3*v**2. Suppose -2*m = m + 12. What is the remainder when 5 is divided by p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.4. Let o(u) = u**2 + 6*u - 3. Let y be 6*(-1 + 5 + -5). Let c be o(y). What is the closest to 1\/5 in -2, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738208 and 60157696?\nAnswer: 12512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 7*l + 6. Let r be g(4). Let m = 15 + r. Which is the nearest to -0.1? (a) -0.1 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzezezxexxezzeezze. What is prob of picking 1 e and 2 x?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72886, -143299, -213712, -284125, -354538, -424951?\n\"Answer: -70413*j - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*p + 14*p - 6*p - 20*p**2 - 4*p wrt p.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4023*a + 1985*a - 640 = -1974*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 131875 divided by -131875\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2 + 121040*t - 3662670400 = 0?\nAnswer: 60520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k. Let v(c) = c**3 + 5*c**2 - 3*c - 4. Let h be v(-5). Let m(p) = -29*p**2 + 28*p**2 - h*p**2. Calculate j(m(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 0*q)*(2*q**2 + 2*q**2 - 2*q**2) - 3016*q**3 + 1500*q**3 + 1770*q**3 + (2*q + q - 5*q)*(4 - q**2 - 4).\nAnswer: 254*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1045782 and 121\/36.\nAnswer: 2091564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 6*i + 9. Let m be a(5). Let l = 3 + 0. Suppose -2*z - 11 = -3*b, 7*b - 2*b - 19 = l*z. Which is greater: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 11. Let h = 104 - 99. Let f be i(h). Sort 4, 0, f in ascending order.\nAnswer: 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -412, -389, -356, -313, -260, -197?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p - 5. Let i be 2 + p + 3\/(-1). Let z(l) = -l**3 + 4*l**2 - l + 3. What is z(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + ((-84)\/(-20) - 2)). Let y(h) be the second derivative of 0 - k*h + h**3 - 3\/2*h**2 - 1\/4*h**4. Solve y(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202183\/7 - -28960. Are m and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f + 2*f)*(-4*f**2 + 4*f**2 + f**2) + (f**2 + 3*f**2 - 2*f**2)*(f - 5*f**2 - f).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905436 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*r - 699*r - 102260 - 6355 = -18723 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-9 - (-7 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12)*-2)\/((-27)\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 975 and 33.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -1. Let x(p) = p**3 + 5*p**2 - 5*p + 7. Let z be x(v). Let r be z\/4 + (-11)\/(-4). Which is the nearest to 1? (a) r (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/513?\nAnswer: -7\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {q: 1, x: 1, b: 4, w: 4, h: 3, i: 5}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 12.4. What is the third biggest value in -2\/7, 2, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y + 0*y + 20*y to the form m + t*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 - 6*x + 23. Determine u(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 10 - 6) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242997 divided by -107\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58634, 117316, 175996, 234674, 293350, 352024?\n\"Answer: -b**2 + 58685*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose -g*r - 104 = -4*m, 7*m - 2*m - 141 = -3*r. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2838*w + 2836*w = v - 16, -5*v - w = -17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2760*k - 6831 + 305 = 1754 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 251 = -4*r - 325, k = -2*r + 17 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -288179061 and -288179062 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202c72 (base 14) in base 13?\nAnswer: 2bc29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(3\/60). Suppose 0*m + 50 = m. What is the highest common divisor of s and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86.68 - 86.91. Which is the fourth biggest value? (a) -1\/5 (b) -21 (c) -0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 136 = 0. Suppose -5*f - 5 = 0, -6*r - 5*f = -r - 25. Let p = 18 - r. What is the remainder when l is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*z = 0, 0*s + 5*s + z = -20. Let q(f) = f**3 + 8*f**2 + 2*f - 3. What is the remainder when q(s) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6527975 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1468528.45\nAnswer: 293705.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*p + 1151 = 337 - 430 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13432 (base 5) to base 7\nAnswer: -3154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*s**2 + 116\/9 - 62\/9*s.\nAnswer: 2*(s - 29)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, 142, 129, 96, 37, -54?\n\"Answer: -x**3 - x**2 + 11*x + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 + (-154)\/4)\/31 and 43\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6502*g**3\/9 + 12956*g**2\/9 - 32*g\/3 = 0. What is g?\nAnswer: -2, 0, 24\/3251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 52.9. What is the nearest to h in 3, 0.3, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-3\/2)*k*k))*k)\/k**4*((k\/((k*k**(-5)\/k*k)\/k))\/k)\/k*k*k*k*k**7)**(-28) assuming k is positive.\nAnswer: k**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(((6\/18)\/1)\/((-120)\/(-1260))).\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 5. Let k be u(-4). Suppose -5*s + 2 = 4*y, -y + 0*y - 2 = 0. Solve 0 = -k*a - 4*p - 9, -14 = -3*a - s*a + 3*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 1 y when three letters picked without replacement from {r: 2, v: 3, y: 8, d: 6}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(112) + -1.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 32 + z**4 - 32 - z + 2*z**2. Let o(s) = -6*s**4 - 11*s**2 + 5*s. Let k(h) = 11*a(h) + 2*o(h). What is the second derivative of k(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.4 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3*o - o**2 + o)*(2*o - 2*o - 2*o) + 13*o**2 - 13*o**2 + 4*o**3 + (-4*o - o + 3*o)*(6*o**2 + 6 - 6) as v*o + d*o**3 + n*o**2 + t and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/2916*45)\/(((-10)\/80)\/(3\/(-2))).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541849 divided by -336.\nAnswer: -77407\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 23. Let i be z(11). Suppose 0 = -i*q + 8*q, r - 558 = -5*q. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6, 56, 1, -4, -5 in decreasing order.\nAnswer: 56, 12, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1282, 1719, 2448, 3469?\n\"Answer: 146*k**2 - k + 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 + 13. What is h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 563, 1221, 2153, 3365?\nAnswer: 4863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(4*sqrt(972) - sqrt(12)))**2.\nAnswer: 11\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbdddbbbdbb. Give prob of sequence bdk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 2*k - 2*k + 0*k**2 - 2*k**2 + k**2 + (k - 3*k + k)*(0*k - 3*k + 5*k) + (-4*k + k + 4*k)*(1 + 3 - 3)*(-4 + 0 + 2)*(5*k + 11*k + 2*k).\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (57 - 55) - -30.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 - 2*o + 3. Let r(s) = -s**2 + 1. Give 3*r(h) - y(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*b + 165*b - 16655. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308314099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**2 + 540190*p + 14590261805 = 0.\nAnswer: -54019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104508 and 28.\nAnswer: 731556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 139 = -4*a, 58 - 255 = 5*w + 2*a. Let x = w - -49. Find the first derivative of -4 - 6*v + 5*v - 4*v - x*v wrt v.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 284 = -9*c. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.7 - -5.9. Let l = 1.99 + y. Round l to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k)**(-8\/11)\/(k**0)**1 assuming k is positive.\nAnswer: k**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.3 + -88. What is the third smallest value in 75\/7, -3\/2, l?\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4*j**3 + 6*j**3 - 3*j**3) + (0 + 0 - 2*j)*(-j**2 - 8*j**2 + 6*j**2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 + h - 3. Let u(k) = k + 1. Let g be u(-4). Calculate the least common multiple of 10 and t(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 8. Let f be o(-7). Suppose -f = -i - i. Solve -q - i = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7865814 by 11.\nAnswer: -715074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhi when four letters picked without replacement from {h: 2, k: 4, i: 2, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 5*q + 9*q + 567. Suppose -x + 25 = 4*x. Sort 2, q, x, -5 in decreasing order.\nAnswer: x, 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/90*(-75)\/(-360))\/(55\/(-15))*-6\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - w - 7 = 1, -l - 3*w - 3 = 0. Let z be (l\/(-4))\/(12\/(-16)). Let b be -1 + 3 + z\/(-1). Is b smaller than 1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 76 = 4*c, -c - 70 = -4*z + c. Suppose 9*h = -0*h + 72. Suppose 4*w + 24 = h*w. Solve -w*f + z = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 10*k**2 - 82*k + 15. Let g be r(15). Is 30 a factor of g\/(-7)*(21\/3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2106\/(-120))\/(-9) + 18\/(-15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*w**5 + 11*w**4 + 498*w**3 + 189156*w**2 + 9*w - 2 wrt w.\nAnswer: -16080*w**2 + 264*w + 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -610*v**2 - 14035*v - 94. Give r(-23).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 divided by -5?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*s - 588 = -67*s + 1392 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -121112324 (base 6) in base 7?\nAnswer: -25341133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552569 is divided by 184121.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5019157892 - -213.4980805608. Let m = g - 214. What is m rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*227\/2043*54\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301341, 301340, 301339, 301338, 301337, 301336?\nAnswer: 301335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-24834)\/(-220) + 3. Let g = 12602\/115 - -71\/115. Let s = g - x. What is the common denominator of -1\/14 and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**2 + 4*g - 8.\nAnswer: -(g - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 61079.15201?\nAnswer: 61078.65201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 + -581. Let o = w - -392.813. Round o to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o - 48. Let z be i(12). Let m = z - 54. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157877170 to the nearest 10000.\nAnswer: 157880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**2\/2 - 17*s - 24. Let g be d(-3). What is the nearest to 1\/2 in 2\/3, -0.4, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608340 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 71. Calculate w(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 39 + 43 = 0. Let b be 4\/(-12) + d\/12. Solve q + 3*s + 6 = b, 0 = 2*q - 2*s + 4 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:58 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 1111382 + 1099565 + 476437 = 0. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 242 = 7*f. Calculate the remainder when 220 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396932?\nAnswer: 2, 17, 101, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9226008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920104*h**4 + h**3 + 8*h**2 - 16712470*h?\nAnswer: 11041248*h**2 + 6*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64.9? (a) 5 (b) -1\/3 (c) -0.06 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1676 = -2*w - x, 2*w + 102*x - 104*x = 1664. Calculate the least common multiple of 456 and w.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13603*z + 2. Let u be r(9). Suppose 649996 = 5*h + 4*d, 0 = -2*h - 2*d + 137569 + u. Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(104) - sqrt(104)*4) - sqrt(104)) + sqrt(104) - (5*sqrt(104)*4 - sqrt(104)))\/(sqrt(8)*3*-2 - sqrt(128)*5))**2.\nAnswer: 625\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let u = d + 0.4. Let j = -4.71 - -4.91. What is the nearest to u in 3, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p\/(p*p\/(p**6*p)*p*p))\/p)*p*(p\/((p\/p**2)\/p))\/p*p**(2\/13)*p**5 assuming p is positive.\nAnswer: p**(67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(6\/7)\/q*((q\/(q*q**(-3\/2)*q))\/q*q)\/q)\/(q**(-2)\/q)**(-4\/33))\/((q*q**(-1\/5)\/q)\/q**(-13))**(-5\/11) assuming q is positive.\nAnswer: q**(741\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*k - 197308 = -202020 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*d - 105 - 316 = -611. Factor 12 + u**d + 10*u - 1\/2*u**3.\nAnswer: -(u - 6)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4415553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25519*c**4 - c**2 + 2*c**3 - c - 51034*c**4 - 1134 + 25512*c**4 to the form j*c**2 + f + x*c + o*c**3 + w*c**4 and give f.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*8\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001524 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 53. Let f = -49 + k. Let a = -99.863 - f. Round a to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 12 + 82*j + 10 + 54*j + 2.\nAnswer: 112*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/30 - -46*(-994)\/420. Which is the fifth biggest value? (a) 2 (b) -5 (c) v (d) -2\/3 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 25\/(-10)*(2 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 401 + 367 - 45*y**2 - 750 in the form v*y**2 + i*y + k and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 3. Let n(c) be the first derivative of -3*c**2\/2 + 92. Determine i(n(w)).\nAnswer: -9*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-72)*2\/2)\/((-886)\/(-2658))*156\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, x: 2, n: 2, l: 2, j: 1}. What is prob of sequence el?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*k - 8, i + 0*k = 3*k - 5. Let s = -2 + i. Let l be s*(2 - 6)*-2. Solve 2*u + 2*o = 4, 3*u - u = 3*o - l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -9. Let a(r) = -r + 3. Let d be a(3). Sort d, -2, x.\nAnswer: -2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10744 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q**4 + 2*q**3 - 2*q - q - 43 + 31*q**4 - 16*q**4 in the form z*q**2 + h + n*q + f*q**3 + m*q**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09675 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 338 - 347 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = -143*l - 30*l + 34*l. Let a(q) = -33*q + 1. Give a(l).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/99*240\/(-416)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 6*x**2 + 2 - 66*x**3 + 2*x + 111*x**3 - 49*x**3 in the form f + a*x**3 + c*x**2 + w*x and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/7)\/((-6)\/4). Let p = 18.1 - 2.1. Let j = -12 + p. What is the closest to -1 in f, -0.1, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -8, 0 in descending order.\nAnswer: 1, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-1862)*2\/1)\/((44409\/(-791))\/(-131))?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 122. What is the units digit of 138*((-27)\/c)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -842, -8, -238.3 in descending order.\nAnswer: -8, -238.3, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21996826?\nAnswer: 2, 83, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19236114125.568 + -3\nAnswer: -19236114128.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 + 5500?\nAnswer: 5578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 10208536*w\/7 - 13026775907912\/7.\nAnswer: -2*(w - 2552134)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3 + 3 + (-3 - 5*t + 3)*(0 + 0 - t))*(t**3 - 2*t**3 + 2*t**3).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from getgg. Give prob of sequence gt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 12*d**3 - 2*d**2 - 4*d - 10*d**3 to b*d + t*d**3 + w + h*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from {u: 2, d: 9, f: 3, z: 4}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i - 4. Suppose -10 = -0*c + 5*c. Let d be u(c). Suppose q - 5*q - p + 304 = 0, -d*q + p = -304. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -t + 13, -3*t = 298*z - 302*z + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 168\/(-30) - ((176\/40 - 1) + -4). Let z = 18 - 25. Is u <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142345 and 686.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1 - 66917*z**3 + 66929*z**3 + 9. Let f(a) = 4*a**3 + 3. Calculate -10*f(o) + 3*t(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/13 - 2102*q\/13 - 47188\/13.\nAnswer: -2*(q + 502)*(2*q + 47)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-4))\/((-315)\/90)*3\/3*120?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 315, 625, 921, 1197, 1447, 1665, 1845, 1981?\n\"Answer: -g**3 - g**2 + 320*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, 3, 117669 in descending order.\nAnswer: 117669, 27, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19809 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 248 + 4220. Let n be 2\/(-9) + x\/27. Let p = 62 + n. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) -5\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, q: 1, w: 5, u: 1, j: 3}. What is prob of picking 1 u and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -253458 divided by 42243\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9, 13\/4, -4, 4, 1\/207, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from ffsgssgrfsfsg.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 45\/(-75) - (-78328 + 6)*3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11778 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*q**3 - 43*q**3 - 1 + 0 - 43*q**3 - 4*q in the form l*q**2 + t + u*q**3 + w*q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 53. Solve -3*y = g + 9, 0*y - 2*g = -2*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 3. Let f(u) = -5*u - 8. Let t(d) = 7*b(d) - 2*f(d). Let k = -60 + 101. Calculate the remainder when k is divided by t(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2369549230 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from umgxmupgppudmmp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620207.\nAnswer: 7, 41, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348326, 348320, 348314, 348308?\nAnswer: 348302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 144*l**2 + 5. What are the prime factors of j(2)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 0)*5 + -3)**2 - ((sqrt(19) - (2 + 2*sqrt(19))) + (sqrt(19)*1*6)**2 + 5).\nAnswer: -89*sqrt(19) + 3597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32060 and 1288?\nAnswer: 1474760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-258048)\/720)\/(2\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11114, 5 in descending order.\nAnswer: 11114, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1 + -1 + 0. Let o be (-44)\/10 - (-30)\/(-50) - -7. Solve -s = 3*n - 3*v + o*v, -n = -v - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 180 = -18*k. Let j = k - -52. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from {l: 5, n: 2, t: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4153 or -4140?\nAnswer: -4140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 5*p - 7 = 0, 4*d - 2*p = 28. Let t(l) = l - 1. Let x(r) = 6*r - 9. Suppose 0 = 3*u + 15*u + 18. Determine d*t(m) + u*x(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 1301376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let i(z) = -z**2 - 11*z + 1. What is the least common multiple of i(-11) and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-189)\/(-18))\/7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -155*j + 18. Let x be d(-3). Calculate the greatest common factor of 210 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94930861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3102\/11*7\/42\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202012210 - -21201?\nAnswer: 202111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*(m\/m**6)\/m*m)\/m)\/m)\/m*m**(6\/5)*m*m\/(((m*m*m**6)\/m)\/m*m)*m*m**(4\/5) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4128, 3737, 3346, 2955, 2564, 2173?\n\"Answer: -391*k + 4519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - -1*(-2)\/1. Suppose -9*n + 8*n = 5. Let m = n - i. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 35496\nAnswer: 1\/1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 + z + 0)*(0 + 0 + 2*z**2).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4974 and -0.2.\nAnswer: 0.09948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-174)\/(-33))\/(60\/(-10)) and 47\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5218824 and 226395.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9543 + 15841. Let n = w + -2133. What are the prime factors of (-4)\/(-6) - (7 - n\/21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006974 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**6\/360 - w**5\/60 - w**4\/24 + 5*w**3\/2 - 20*w. Let g(z) be the second derivative of k(z). Solve g(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -350*j**5 + 4*j**3 - 6*j**2 + 3. Let v(y) = y**5 + y**3 - y**2 + 1. Let k(s) = -p(s) + 4*v(s). Find the third derivative of k(t) wrt t.\nAnswer: 21240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 6. Let r(m) = m. Let u(f) = -4*f + 2. Let p(b) = -5*r(b) - u(b). Let w be p(4). Calculate the lowest common multiple of 10 and j(w).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 6. Let d = m + 4. What is the second derivative of -2*y**3 + y**2 + 3*y - y**d wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 24*r**3 - 66*r**2 + 64*r - 21.\nAnswer: -(r - 21)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*3 + -6. Let f(z) = z**2 + 2*z + 3. Is 18 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 267 = 155. Is q\/(-22) + 4\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 19439100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 + 1 = 0. Let m = 0.54 - 2.54. Which is the nearest to m? (a) r (b) -2\/11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156)*3)\/sqrt(12)*-1)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 - 188 = -19*n. Suppose 7*i - 2*i - 25 = 0. Let a be n\/(i - 1)*1. What is the greatest common divisor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -19. Suppose 4*x - n - 4 = 0, 7*x - 2*x - 5*n - v = 0. Suppose x = -3*l - 22 + 85. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, 214, 578, 1268, 2392, 4058, 6374, 9448?\n\"Answer: 18*h**3 + h**2 + 17*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 3)*(-14)\/(-4). Let p = -41 - -62. Let g be 57\/21 - (-6)\/p. Solve -g*q + 12 = -j*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 3. Let a(k) = -35*k + 20. Calculate 3*a(g) - 20*u(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 4*w**2 - 1. Let q(t) = -t. Determine q(z(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g - 1. Let t be o(-3). Let c = 133 - 53. Calculate the highest common factor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -12\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192 + -151. Calculate the remainder when 101 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 4*x - x**3 - 2*x**2 + x**2. Let g be q(2). Let s = g + 11. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**4 - 13899*s**3 - 69126099*s**2 - 138210489*s - 69098292 = 0.\nAnswer: -3012, -1, 7647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b**3*n**2 - 246*b**3*n - 16*b*n**2 + 2*b*n wrt n.\nAnswer: 28*b**3 - 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, -0.47, 0.4 in descending order.\nAnswer: 0.4, -0.47, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15178.6 rounded to the nearest 10?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 12*u**4 - 86*u**3\/3 + 68. What is the third derivative of x(s) wrt s?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:07 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 - 141*c**2 - 67*c + 74. Let h be z(-37). What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123664 and 17816.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2186, -4361, -6522, -8663, -10778, -12861, -14906, -16907?\n\"Answer: q**3 + q**2 - 2185*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7808 + 7810. Let u = -2 - -4. Solve a + 6 = w, -a = -j*a - w + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212112221 - -12?\nAnswer: 212120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11169 + 11180. What is the remainder when 2748 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3736 + -1678. Suppose -c - 2*c = -o. Suppose j + 6*j - c = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1577 + -1599. What is the third smallest value in 1\/2, c, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 4 - 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - s**2 + s + 1. Let f be w(-2). Let v = 24 - f. Is 5 != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35874328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i*q**2 + 15*i*q - 25*q**4 + q - 1 wrt q.\nAnswer: 16*i - 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/2 + 5*g - 59. Determine f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 + 4396\/13. Suppose -4*p = -2*t + 16, 8 = t + 3*t + 4*p. Which is the second biggest value? (a) 0.02 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17308 smaller than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -226010 (base 7) in base 11?\nAnswer: -28461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -0.32677.\nAnswer: -7.18894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 21 = 12. Let d be -4 - s\/(-30)*4. Factor 0*q**2 + d*q**3 + 0*q + 0.\nAnswer: 2*q**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*s - q - 83, 5*q - 15 = s. Let z = s + 37. Suppose z = -m + 49. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 3*i + (-6*i + 2*i - 6*i)*(-2 + 3 - 3) - 3*i + 0*i + i)*(-3*i + 4*i - 3*i)*(-235 - 160 + 279).\nAnswer: 4640*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 15, 5 in increasing order.\nAnswer: -1, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200112011012222 (base 3) to base 6.\nAnswer: -551000425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/10 + (-342)\/(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x\/x**(2\/3)*x)**(-43))**(-33))**(3\/22))**(-29) assuming x is positive.\nAnswer: x**(-18705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.621998053 rounded to one decimal place?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/21 + (-13)\/39*561\/(-154)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000978 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -832*m**4*t**2 + 2*m**3*t**3 - m + 9*t**3 + 2*t**2 wrt m.\nAnswer: -9984*m**2*t**2 + 12*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.55 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3 - 3*j**2 - 7280*j*q**2 + 10*q**2 + 4309 wrt j?\nAnswer: 6*j**2 - 6*j - 7280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -81 - 4\/3*f**3 + 4*f + 1\/5*f**2 - 1\/10*f**4. Solve g(u) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2529090 is divided by 268?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-14))\/((-147501)\/567 + 239).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/(-6)) - (-115)\/23. Calculate the highest common factor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b + 3*b**2 - 4*b**2 + b**3 - 5*b**2 + 6. Let q = 94550 + -94547. What is z(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 11}. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 702018.1 hours?\nAnswer: 2527265160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -i + 10, -5 = 5*i - 2*h + 11. Let p(n) be the first derivative of 3*n**2 - 90 + 52 + 70. Let t(k) = -31*k. Calculate i*t(m) - 11*p(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309 - -332. Solve 0 = -22*j + a*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1775, 3320, 4867, 6416?\n\"Answer: j**2 + 1542*j + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(1377) + (-2 + sqrt(17))*4 + 5.\nAnswer: 1 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (34\/18)\/17*157)\/((-5)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, s: 3, v: 1, o: 1, f: 6}. Give prob of picking 2 u, 1 f, and 1 v.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*q = 397 + 275 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13313 - -199604\/15. What is the common denominator of ((-4)\/7 + (-18496)\/(-15708))*1 and d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 4*(4 + sqrt(75)))**2.\nAnswer: 2240*sqrt(3) + 5584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.41 + 11.91. What is the nearest to -0.41 in p, 2\/5, -2\/9, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517429 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - 6*z - 3. Let q be m(-4). Suppose 36 = q*p + 4*w + 13, -5*p + 5*w + 5 = 0. Solve -5*h - 7 = -p*r, -2*h - 5 = -0*r + r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*v + 96985 = 0, -3*g = -7*g + 5*v - 77583. Let o be g\/315 + (-2)\/(-9). Let c = -643\/10 - o. Find the common denominator of 49\/6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - -0.22. Let q = -7.24 + -22.66. Let s = q + 30. What is the nearest to s in d, 0.4, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*s - 10 = f, 3*s = -3*f - 6. Let i be (-3)\/(-9) - (-5)\/3. Is i <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -7 + 12 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-448)\/(-40) - 1\/5. Solve x + 9 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -4*y. Let w = 8 + 3. Let i = -9 + w. Solve -y*v = -4*v + i*d, 2*v = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9691.786l to millilitres.\nAnswer: 9691786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (363\/78 - (-144)\/(-936))*12\/(-9). Let f(n) = 9*n**3 - 11*n**2 + 43*n - 11. Let s(m) = -5*m**3 + 6*m**2 - 21*m + 6. Determine b*f(l) - 11*s(l).\nAnswer: l**3 - 27*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (-904)\/(-28). Let o = i - -54. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 811*d*m**3*t + 2*d*m*t + d - m**4*t + 399*m**2*t wrt m.\nAnswer: 4866*d*t - 24*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101010 - -1102?\nAnswer: 21102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Suppose -4*g - 13 = -3*m - 3, -3*g + 3 = 3*m. Suppose -m*a + 2 = -0. Let k(y) = 2*y - 12. Determine a*k(r) + 12*d(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, -9, -0.3, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -943 - -943. Which is the biggest value? (a) -11 (b) -3 (c) -1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 9*b**3\/2 + 13647*b**2\/2 - 11388*b - 4554 = 0.\nAnswer: -1518, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 10*g**2 - 15*g - 49. Let z be 492\/(-60) + (-8)\/10. Let t be h(z). Solve 0 = -3*o - 2*i, 17 = -5*o + t*i - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 21 = 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/15)\/x)\/(x*x**(-2\/15))*((((x*x**(-7))\/x)\/x)\/x)\/((x**(-6)*x)\/x))**(-35))**(-1\/22) assuming x is positive.\nAnswer: x**(-175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -7*d**6\/20 + d**5\/60 + 105*d**3\/2 + 886*d**2. Find the third derivative of o(u) wrt u.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.981 at least as big as 166\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(1088) - sqrt(1088))*-3 + 5 + (sqrt(1088) - (2 + sqrt(1088)))*6)*-5)**2 + 4.\nAnswer: 126000*sqrt(17) + 55081229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-860)\/301 + (-3)\/21 + 0 + 5. Solve v*q = 5*t + 35, -12*q + 14*q = -5*t - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 - 397. Let k(s) = -5*s**3 + s**2 + s - 1. Let j be k(1). Let f be (-420)\/650 + j\/y. Which is the nearest to 18? (a) -3 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/(3\/6). Suppose -2*d - 115 = 5*i, -4*i + 2*i + z*d - 32 = 0. Let g = i + 53. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 - 3*b + 1. Suppose -3*f + 7*f + 12 = 0. Let i(r) = -3*r**3 + 2*r**2 + 8*r - 3. What is f*i(z) - 8*k(z)?\nAnswer: z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q + 49*q + 38*q + 60 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s*u**2 - 284*s*u + 1896*u**3 wrt u.\nAnswer: -2*s + 11376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5170*l - 7873*l - 287278 = -2243728 for l.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128577542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/3 + 28091864*c**3 - 197288205748624*c**2 + 1385548361173590898784*c\/3.\nAnswer: -4*c*(c - 7022966)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddd when four letters picked without replacement from {c: 8, d: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - ((-204 - -4)\/2 + -2). Let k = c + -96. Suppose 612 = 3*n - 3*o, 0*n + 818 = 4*n - k*o. List the prime factors of n.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 1135*d + 1191*d - 2326*d.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:02 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 104245 divided by 5\nAnswer: 20849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.0867*-9630\nAnswer: 10464.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0657 (b) -9\/5 (c) 1\/112 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/58684 and -95\/65688.\nAnswer: 56688744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 5*y + 2. Let k be b(4). Suppose i + k = 3*i + 3*o, 0 = 5*i - 4*o - 12. Let z be i*(-4)\/8*6. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 124. Let y be (-6)\/8 - h\/4. Solve -y*i = -2*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 7*u + 1. Let s(v) = 3*v + 12. Let h be s(-6). Calculate a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 48*h - 287. Give g(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349703 is divided by 747?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333 or 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175309247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2512*x - 2510*x + 5*p = -3, 3*p = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*r + 20 = 0, -2*q - 4*r + 49 - 19 = 0. Which is the second smallest value? (a) -0.3 (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 45 = 4*x. Let f be 2*x\/16*-2. Let z be 22\/6 - 2\/f. Solve 2*m - z*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + 2 + (-78)\/36. Which is the third smallest value? (a) -5 (b) -3 (c) -24 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3615 + 3636. Let k = 7 - 4. Let h be ((-3)\/q)\/((k + -2)*4). Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, y: 3, u: 1, p: 1}. Give prob of picking 2 y and 2 c.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1892860 divided by 10\nAnswer: -189286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 565?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -29)*-1 + 3 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77, 165, 253, 341, 429, 517?\n\"Answer: 88*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 + 3*k. Let y(a) = -10142*a**2. Determine q(y(l)).\nAnswer: 720021148*l**4 - 30426*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2197992 - 3701.\nAnswer: -2201693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5257 + -0.3673. What is b rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 18 - 8 = -5*k, 5*m - 35 = -5*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57896023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(1008) + -2 + (sqrt(1008) - 1*sqrt(1008)))*-5)**2 + -4*(sqrt(28) + sqrt(7))**2 + sqrt(63)*-3.\nAnswer: -2409*sqrt(7) + 100648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 2. Let k be d(3). Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i - 117. Let f(y) = 7*y - 58. Let w(r) = 6*a(r) - 13*f(r). What are the prime factors of w(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-24) - 94\/8. Let j = n + 24. Calculate the remainder when 38 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(3 + -1*2). Suppose o*m + 3*y = 5*y, 2*y - 14 = -4*m. Suppose m*l + 2*l - 5*u + 12 = 0, -2*l + 16 = 3*u. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 - 2*f + 3. Let n be (1 + 0)\/(1\/3). Suppose -4*v - 2 = -5*o, 0*o - n*o = -4*v - 6. Let q be p(v). Solve q*u + 5*u + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15240 smaller than -15240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j**2 + 317*j + 71*j + 57*j**2 + 57*j**2 - 231*j**2 + 56*j**2.\nAnswer: 2*j**2 + 388*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1041731*-160\nAnswer: 166676960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 33 = -4*s. Suppose s*r + 1 + 7 = 0. Which is the third biggest value? (a) 5 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 2911?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 531441\/7 + 78732\/7*s + 1\/7*s**4 + 108\/7*s**3 + 4374\/7*s**2.\nAnswer: (s + 27)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 5*i. Let s(t) = -t**3 + 4*t**2 + 4*t - 5. Let k be s(i). List the prime factors of k\/(-3 + (-20)\/(-6)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-11 - (-32 - -17) - (-9 + 8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15184 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:03 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiim when four letters picked without replacement from mmimmiimimiiimmiimmm.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1010, -3, -258, -15 in decreasing order.\nAnswer: 1010, -3, -15, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15572 (base 10) in base 6?\nAnswer: 200032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + -20. Let k = 44 - m. Suppose 2*x = 5 + k. What are the prime factors of x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 557*n**2. Let x(c) = -336*c**2. Calculate p(x(d)).\nAnswer: 62883072*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 2*q - 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18827025 and 97900530.\nAnswer: 489502650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1864500286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - h**2 + 2*h - 21. Let t be z(5). Let v = t + -459. Solve 0*l - v*l = 5*r + 15, -6 = 2*l - r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-9)*9\/2. Suppose 2*f - 21 = -c*v, -4*v - 64 = -5*f - 0*v. Let n = -22133 - -22135. Solve n*q + f = -2*d + 4, -5*q = -3*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 + -142. Suppose -3*v - h = -569. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g**2 + 372*g + 372. What is b(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 0 - (-1360 - -1379) - (6 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -800, -2\/16519?\nAnswer: -2\/16519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 - 2) - 245\/(-35). Factor -25*i**3 - 39*i**3 - 20*i**2 - c*i**4 - 12*i**2 + 25*i**5 + 0*i**5.\nAnswer: i**2*(i - 2)*(5*i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1602905712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 1. Let k(m) = -4. Let x(r) = k(r) + 2*v(r). Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 21087 = 32309. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (297*u + 26 - 299*u + 153)*(10 + 5 - 2) as i + f*u and give i.\nAnswer: 2327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/21)\/(4\/(-14)). Let r(w) = -w + 10. Let o be r(7). Let z = -1383.05 - -1383. Which is the nearest to 0.1? (a) z (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -224, -223, -222, -221?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 26*l**2 + 68*l - 24. Give q(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.4 + -15.4. Which is the closest to -2? (a) 0.3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/5, -2, -8.7, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912361781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 8. Let q be 13\/4 + (-4)\/16. Let h = -1131 - -1135. Let y(p) = -2*p - 7. What is h*y(j) + q*b(j)?\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/10 - 7*k**4\/4 - 13*k**3\/6 - 15*k**2 - 55*k. Let t be n(-10). Solve x + 1 = -t, 2*x - 1 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/4 - 5*b\/2 - 25\/4 = 0. What is b?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4448*l**2 - 196 + 683 - 487 to the form n + z*l**2 + g*l and give z.\nAnswer: 4448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054952.\nAnswer: 2, 3, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**2 + 161*h + 162*h - 323*h + h**3.\nAnswer: h**3 + 52*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.439381 and -114.\nAnswer: -112.560619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:06 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q - 20. Let j be h(0). Let l = j + 41. Suppose -5*i + 2*i = -120. What is the remainder when i is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2940 = 440. Round u to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 7 + 173. Solve y + 4*d - r = -3, -3*y + d - 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 29*f**2 + 38*f + 76. Let j be p(26). Let m = j - -970. Let u(b) = 2*b - 14. What is u(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8578, -16460, -24328, -32176, -39998, -47788, -55540?\nAnswer: -63248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, -96 in decreasing order.\nAnswer: 0, -1, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150456162?\nAnswer: 2, 3, 25076027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 450\/113 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 935893, 935792, 935679, 935548, 935393, 935208, 934987, 934724?\nAnswer: 934413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -46\/3*l**3 - 28\/3*l**2 - 10\/3*l**5 + 56\/3*l - 16\/3 + 44\/3*l**4 = 0. What is l?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 2. What is the lowest common multiple of 6 and q(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.33725 from 276.\nAnswer: 276.33725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.62482 - 797.10518. Let b = -790 - x. Round b to one dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3*1 - (64 + -61)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 456. Let b be w(66). Let u(o) = -5*o**2 + 6*o - 4. Let t(s) = 15*s**2 - 17*s + 12. What is b*t(a) + 17*u(a)?\nAnswer: 5*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 33. Let j = 12 + -12. Let i be n(j). Let b(v) = 2*v + 3. Let k be b(4). What is the highest common factor of k and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -15. What is the greatest common divisor of o and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + 9 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 528*h**2 - 236001*h + 236. Calculate q(236).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5911 and 27991?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/180*(7\/(-2) - 1). Let x(y) be the first derivative of 9\/4*y**4 - 3*y + y**b - 9\/2*y**2 - 5. Factor x(i).\nAnswer: 3*(i - 1)*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = 3*g, i - 6 = -2*g - 2*i. Suppose 0 = -g*j - w + 57, -2*j - 4*w = -w - 45. What is the units digit of j\/4 + (-4)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n = -66*n + 54. Suppose n = 3*j + m - 5, m - 29 = -4*j. Calculate the remainder when 10 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1081 + -63777\/59. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-108) + ((-3)\/(-9) - 134\/12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3080, 13156, 30228, 54296?\nAnswer: 85360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 490, 651, 862, 1123, 1434?\n\"Answer: 25*n**2 + 86*n + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 50. Suppose h = 23*r - 28*r + 25. Solve -r*d + 3 = -2*s + 2, s - 2*d = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98.8 in 5\/4, -1, 3\/125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.73252 litres in millilitres?\nAnswer: 16732.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/7 - 3*t = 0. Calculate t.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1555 and 1866?\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/4))**(-18\/11)*v**(-1\/7)\/v*v**(2\/3) assuming v is positive.\nAnswer: v**(-787\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117814771.\nAnswer: 37, 41, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 3, 0.4, 0, -276, -1, -2\/9 in descending order.\nAnswer: 96, 3, 0.4, 0, -2\/9, -1, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44928\/4212)\/(4\/9))\/(2*-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) -1\/8 (c) 31\/42 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 0*t**3 + t**3 + (2*t**3 - 5*t**3 + 0*t**3)*(-4 + 3 + 4) + (-4*t + 2*t + t)*(-1 - 3*t**2 + 1) - t**2 + 2*t**3 + t**2.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 145\/(-15))*2\/40. Let y(o) be the first derivative of 1\/8*o**2 + 2 - g*o**3 - 1\/16*o**4 + 1\/20*o**5 + 0*o. Factor y(t).\nAnswer: t*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-3))\/(-4)*(-99)\/33?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/5)\/(5 - 4). Suppose 0 = -4*r - 5*q - 168010, 4*r - i*r - 3*q + 41994 = 0. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*r**3 - 1248*r**2 - 6*r + 87234393.\nAnswer: 90*r**2 - 2496*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 1\/5, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**3 + 9*y**2 - 3*y + 7. Let k(l) = -7*l + 45*l**2 - 2*l - 19*l**2 + 20 - 28*l**3. Let i(z) = -6*k(z) + 17*w(z). Let v = -4 - -1. Give i(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -4*i = -166 + 842. Let k = i + 1189\/7. Is k at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 962*g**3\/3 - 517*g**2\/2 - 1596*g. What is the derivative of m(c) wrt c?\nAnswer: 1924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 534\/7 or 77?\nAnswer: 534\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:47 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let s(n) = 7429*n**2. Calculate d(s(u)).\nAnswer: 22287*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + -b91?\nAnswer: -bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1\/3)*j)*j*j)\/j)**(-2\/51))**(-16\/9) assuming j is positive.\nAnswer: j**(128\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 4*u - 1. Let t(w) = -w - 1. Let d(v) = -v - 1. Let f(c) = -2*d(c) + 3*t(c). Let k(b) = 4*f(b) + r(b). What is j in k(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1993 + 1993 + 11*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19842 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -333*o - 687. What is s(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3017.009 + 2992. Let m = -25 - w. What is m rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 43*b**2 - 24*b + 204. Calculate the least common multiple of s(39) and 22.\nAnswer: 58872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 22*w - 2*w)*(-1 - 1 - 2)*(-3 - 4 + 4).\nAnswer: 252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173345 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 7*w**2 - 15*w**2 + (-3 - 3 + 4)*(40 + 2730*w**2 + 11 - 2737*w**2) to c + m*w + p*w**2 and give c.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, y: 4}. Give prob of picking 3 b and 1 y.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7326401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934439 is divided by 244?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*p + 5*p - 7, -3*s = -9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 17. Let c(i) = 4*i**3 + 2 + 3 + j*i - 3 - 3*i**3 - i**2. Let n(h) = 4*h**3 - 4*h**2 + 9*h + 9. Determine 9*c(s) - 2*n(s).\nAnswer: s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4440 and 74718.\nAnswer: 55291320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1420 (base 11) to base 12\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d - d**3 - 4*d - 13 + 6 + d**2 + 4*d**2. What is j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29527?\nAnswer: 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2123, -0.3, -3 in ascending order.\nAnswer: -3, -0.3, 4, 2123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*r**2 + 5*r**2 - 2*r**2)*(2*r + 2 - 2).\nAnswer: 2*r**3 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -55823907 divided by 18607969\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c99c + -614?\nAnswer: 4c388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000010110011110111 - 101100?\nAnswer: 1111000010110011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l**2 - 5*l**2)*(-896 + 162 - 573).\nAnswer: 3921*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3333112 - -1?\nAnswer: -3333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94348814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2934 and 0.17.\nAnswer: -0.049878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 12, 2, 0.5 in decreasing order.\nAnswer: 12, 2, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3906 and 13314.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + h + 4. Let j(n) = -1. Let o(y) = -5*j(y) - w(y). What are the prime factors of o(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18883808 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 - 23*y**2 + 34*y - 46. What are the prime factors of m(11)?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/10)\/(4\/(-72)*3). Suppose 8550 = t*s + 2*s - 5*w, -5*s = -4*w - 8547. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52822243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 7. Let z be w(4). Let m(n) = -26 + 85 - 32 + 8*n - 22. Is m(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + 2*u**2 - 4*u + 0*u + u**2 + 0*u + 5*u**2 - 3*u**2 - 4*u**2 + (-4*u + u + u)*(2*u + u - 2*u) - 27*u**2 + 49*u**2 - 30*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 + 0*w**4 - 2*w**4 + (-119 + 13*w**2 + 119)*(4*w**2 + w**2 - 3*w**2) + 3*w**4 - 3*w**4 + 2*w**4 as n*w + l*w**3 + q*w**2 + c*w**4 + m and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -4, 1\/4, -0.032?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20 + -3 + -1 + (-1194)\/(-30). Solve 32 = -n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnnk when four letters picked without replacement from ggkkkwkkkkwnkwkkknww.\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -1534?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1084733206 or 1084733205?\nAnswer: 1084733205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-7 + (-12)\/(-3)). Let v = 25 - r. Suppose 3 + 57 = 4*o + v*p, -4*p = 20. Round o to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsj when four letters picked without replacement from ssjjsjjjjj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {u: 8, x: 8, a: 4}.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-30)\/12 + 66\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j + 4*t - 36, 0 = 4*j - 5*t + 41. Let s be j\/(-3)*9\/2. Are s and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4601474 rounded to 1 decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 149*o**3 - o**2 - 3*o - 5. Let q(s) = 745*s**3 - 5*s**2 - 16*s - 27. Calculate -2*q(d) + 11*t(d).\nAnswer: 149*d**3 - d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12507 and 2513907.\nAnswer: 2513907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -1 - (-608 - -582).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from aatcccccctaat.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742712033.\nAnswer: 29, 94576277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 - u**4\/12 - u**3\/6 - u**2. Factor d(q).\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662700 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40305, 40304, 40303, 40302, 40301?\nAnswer: 40300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 323*p. Let c(s) = -3*s. Determine n(c(b)).\nAnswer: -9*b**2 - 969*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 242*u + 11305. Let y(g) = 387*g + 16957. What is -8*f(h) + 5*y(h)?\nAnswer: -h - 5655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993116.9ml to litres.\nAnswer: 993.1169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 38. Suppose -y*u - 88 = -8*u. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -410 > -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -179034 <= -895173\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*x + 1311 - 1309 + 316*x**3 - 144*x as k*x**2 + g*x**3 + r*x + a and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/589 in -4\/9, -6, 0.251?\nAnswer: 0.251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 234 = 3*b + 124, 3*b + 115 = -4*y. Let v be 8\/(-10)*(y\/1030)\/(-1). Which is greater: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -17, 0.4, -4\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 20. Let l(v) = -v**2 + 5*v + 3. Let i be l(5). Solve -i*s - b = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, s: 2}. What is prob of picking 2 l and 1 s?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -23 (b) -5 (c) -1 (d) 677 (e) -1\/3 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/20 + 3*y**3\/5 + 12*y**2 + 11*y + 18. Let o(k) = 0. What is k?\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.71 + -1.81. Let y be (-8)\/(-3)*9\/6. Suppose y*x + 3*t = 14 + 3, 19 = 4*x + t. Which is the fourth biggest value? (a) z (b) -1 (c) -1\/2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.089 and -22?\nAnswer: 419.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 32, 67, 124, 209?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1570*g + 3660. What is the remainder when r(2) is divided by 135?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.03967382\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Let s(q) = -3*q**3 + 2*q**2 + 2*q - 1. Let a be s(2). Let f = -13 - a. Solve -j + x*j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-5) + 23\/1. Does 2 divide f\/6 + (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2 - 9*f - 13. Let n(g) = 8*g**2 - 6*g - 9. Let l(y) = 8*n(y) - 5*s(y). What is the units digit of l(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let c be l(-2). What is the remainder when 1 + 13 - (-84)\/28 is divided by 1*-2 - c*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-3*sqrt(10)\/(sqrt(5)*-2*2) - (1 + (-3*(sqrt(20) + sqrt(20)*-2))\/sqrt(10)))**2.\nAnswer: -247\/4 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*a**(1\/4)*a*a)))\/(a**(-2\/11)*a)*(a**5\/a)\/a*a*a**(1\/9))**30 assuming a is positive.\nAnswer: a**(10975\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/3*(-3)\/(-2). What is the second derivative of -g**2 + g**2 + 19*g**n - 35*g + 9*g wrt g?\nAnswer: 228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-8)*1*(8 + -228)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -17, 464, 0 in descending order.\nAnswer: 464, 198, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 8*w - 1\/12*w**4 - 11*w**2 + 7\/3*w**3 + 0. Calculate the remainder when 69 is divided by c(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1679693 + -1679693.0814011. Let o = d + -3.3185689. Let g = o + 3.4. Round g to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1012251 or -1012255?\nAnswer: -1012255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171925*m**5 + 2*m**4 + 5*m**3 + 2*m**2 + 6*m - 18531 wrt m.\nAnswer: -10315500*m**2 + 48*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/11, 0, -84 in descending order.\nAnswer: 0, -8\/11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 9, a: 3, e: 7}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 + 11 = 0. Suppose -4*i + 56 = g*b - 2*b, -2*b - 56 = -4*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**2 - g + 17*g - 37*g**2 + 24*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77182\/5 + -15545. Let s = -109 - n. Is s > -1\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let h(p) = 8*p - 5. Let s(w) = h(w) + 4*t(w). Let y be s(2). Solve 0 = 2*o - 10, 7 - 2 = -4*l - y*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y - k + 1, 2 = -k. Which is the third biggest value? (a) y (b) 0.1 (c) -2 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3212*i - 3. Let y be o(1). Suppose 7*b + y - 22837 = 0. Suppose -4*q = -2*n + q + 5553, n = -3*q + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269394 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: List the prime factors of 5118.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 7. Let o = 57 + -27. Calculate the greatest common divisor of n and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -877778109722 and 154.\nAnswer: -877778109568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p*r**3 + 8*p*r + 7*p + r**3 + r - 1212 wrt r?\nAnswer: 6*p*r**2 + 8*p + 3*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.841 + -20.841. Which is the closest to -2\/7? (a) 2 (b) 1 (c) -5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8709 is divided by 2174.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5104951.2 nanoseconds?\nAnswer: 0.000001418042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*o = 303, 0*r - 4*o - 90 = -r. Suppose -75*k + 4*y = -r*k - 3, -k + 4*y = -15. Let d(s) = s**2 - 5*s + 2. Calculate d(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6672 divided by 1668.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -47) + (11 - 12 - -3) + 2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/31 (b) 2\/5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 6307*g**3 + 6305*g**3 + g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403*25.\nAnswer: 10075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/(h\/((((h\/(h**(2\/31)\/h))\/h)\/h)\/h)))\/(h**(-3)*h)**(-29))**(-15) assuming h is positive.\nAnswer: h**(28860\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 c when three letters picked without replacement from ebccjzc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -1, 2.1, 5, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/1427 - -11794\/89901. Let g = x - 2\/9. Is g <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 42*d + 52. Calculate m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16026 (base 10) to base 16\nAnswer: -3e9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k*k*k\/(k\/(k\/(k\/(((k**1*k)\/k)\/k))))*k)\/(k*k**0*k*k*k*k*k\/k**3) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -36. Suppose -5*i - 1 = -3*l, -2 = -i + t. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1648.9 - -5.\nAnswer: -1643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4120 - 2?\nAnswer: -4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -793, -762, -693, -574, -393, -138, 203?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o + 4. Let s be n(6). Suppose 12 = s*d, 4*i - 12 = 4*d + 4. Suppose 0*b + b = i. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11574580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-131 - 2 - 0) + (15 + 135 - 144) - 6\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Which is the third smallest value? (a) 0.3 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2146513?\nAnswer: 2146515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -132?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-124)\/2)\/(-1 - 1). Suppose 11*u - 356 + 102 = 76. Which is greater: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -k. Let l(c) = c**2 - 4*c. Let g be l(k). Solve -20 = f + 3*f + 4*w, -4*f + 5*w - 11 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 15*z**2 - 25*z + 86. What is the remainder when 746 is divided by y(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-26)\/8 - (-26)\/8) + (-3320)\/(-996). Factor 4\/3*w**2 + 0 + t*w - 2\/3*w**3.\nAnswer: -2*w*(w - 4)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/6 - 4*w**2 + 5*w. Let z be h(11). Suppose 2*l + z*l - 315 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080*a - 1842624 = 1008*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 404.\nAnswer: -282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 370.9 - 371.1. What is the fourth biggest value in r, 1, -0.3, -18\/31?\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*c**3*n - 30*c**3 - 3*c**2*n + 6*c**2 - 23*c*n - 3*c + n wrt n?\nAnswer: -73*c**3 - 3*c**2 - 23*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c + 4*r, -5*c - 5*r - 2 = 43. Let k be (-30)\/c + -3 + (-5)\/(-2). Let u(i) = -31*i**k - 805 + 805. Let w(b) = b**2. What is w(u(x))?\nAnswer: 961*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.1. Let r = 2.28 + -0.28. Which is the closest to 0? (a) g (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((sqrt(847) - -1*sqrt(847)) + sqrt(847)) + 4 + 3)**2 + -4.\nAnswer: 4752*sqrt(7) + 274568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/120 - n**5\/30 - n**4\/12 - n**3\/3 + 6*n**2. Let k be l(3). Does -2\/61 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h**2 + 0*h - 1\/3*h**3 + 1. Let t(o) = -2*o + 4*o - o. Determine z(t(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9733 + 12.8257. Round p to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6452867118?\nAnswer: 2, 3, 37, 29066969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + q - 3*q**2 + (3*q + 2*q - 8*q)*(-q + q + 2*q) to the form o*q**2 + x*q + f and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119423, -119433, -119441, -119447, -119451, -119453?\n\"Answer: h**2 - 13*h - 119411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002819177988 to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -256, -268, -288, -316?\n\"Answer: -4*t**2 - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.148g to nanograms.\nAnswer: 642148000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/((-2)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1162, -1116, -1050, -964, -858, -732?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218415.\nAnswer: 3, 5, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpxxpxxxp. Give prob of picking 2 x and 1 p.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m - 3*z = -1787, -m - 2*z = -356. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 19100?\nAnswer: -19101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38958397?\nAnswer: 29, 1031, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8051 or -11329?\nAnswer: -8051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -1. Let x(b) = -9*b**2 + 7*b - 5. Let o be (7 - 4)\/(3 + -3 - -1). Let w(r) = 4*r**2 - 4*r + 2. Let p(k) = o*x(k) + v*w(k). Determine p(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 241*o + 230 - 70*o + 204*o - 2*o - 41*o wrt o?\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 41*n + 6*n - 30 + 2. Let q be v(-14). Does 10 divide 4\/(-10) + q\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1378, 1301, 1182, 1015, 794?\n\"Answer: -d**3 - 15*d**2 - 25*d + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947687499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 3, 2\/5, 5, -6 in ascending order.\nAnswer: -6, -3\/8, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 21. Let w = 5 - 2. What is the nearest to 1 in -2, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20\/9, 2\/35, 2, -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1416 and -7.69?\nAnswer: -1.088904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 7 + 4 + 8 + 1 - 5*z. What is the tens digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1*63\/(-63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35420312910 - 519190946358697\/14658. Let n = j - 4\/2443. What is the common denominator of -91\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) + (-8)\/(-6). Let z(a) be the third derivative of a**5\/60 + a**4\/24 + a**3\/2 - 3*a**2. Let u be z(3). Solve 4*t - s = u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1460996 and 488.\nAnswer: 178241512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x + 50 - 24 - 26.\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -83649*g + 2168. Let f(u) = -u. Give c(f(y)).\nAnswer: 83649*y + 2168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21729436 and 0.3.\nAnswer: 6518830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -8*t + 556, 2122*t = 2124*t - 140 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168 is divided by 700.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149300 is divided by 63811?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(2\/41))**18 assuming o is positive.\nAnswer: o**(72\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3121 + 5.\nAnswer: 3.6879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/3 (b) 2\/19 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90073*j - 90068*j + 62 = -f, -3*j + 5*f - 26 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + 10 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14151 or -14158?\nAnswer: -14158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k - 31. Let o be i(9). Find the common denominator of o\/120*386 - 7 and -1 - 0 - (-53)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322614, -0.06, 2\/9 in increasing order.\nAnswer: -322614, -0.06, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13725\/7 + 1961. Factor 12\/7 - d*w**2 - 2\/7*w.\nAnswer: -2*(w - 2)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:09 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*r**2 + 2*r**2 + 180*r - 175*r to the form g*r + k + u*r**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 4. Let u(f) = f - 2. Let m be u(-3). Let i be n(m). What is the units digit of i\/(-2)*-2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/12)\/(-1*(-8)\/(-24)). Let y be 0 + 1 + (-8)\/7. Which is the nearest to 0.1? (a) m (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 i when four letters picked without replacement from {n: 3, i: 4, q: 5}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 d when four letters picked without replacement from {m: 4, i: 3, k: 1, d: 1, z: 5}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056110?\nAnswer: 2, 5, 11, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Suppose -b*n = -5*s + 34, -13 = -5*n + 7. Differentiate -7*x - 5 + s*x - x - 3*x with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -79. Let a = -0.6 - -0.6. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136701634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Let u be 35 + 0 + -3 + g. Let p be 50\/6 - 4\/(-6). What is the highest common divisor of u and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(2\/7))**(-6)*(((m*m\/((m\/(m\/((m*m**0*m)\/m))*m)\/m)*m*m)\/m)\/m)**(-13) assuming m is positive.\nAnswer: m**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 586648000 to the nearest 1000000.\nAnswer: 587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f + 9. Let d be h(-7). Suppose -5*c + p = 15, 3*c + 5*p + 0 = -d. Put -14, c, -0.1 in decreasing order.\nAnswer: -0.1, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(10\/(-14)*-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 105024259?\nAnswer: 105024259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -d9af5 (base 16) to base 10\nAnswer: -891637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.8 + -24.3. Sort -2\/7, b, -3 in ascending order.\nAnswer: -3, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -795640\/2637 bigger than -301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/7*(-10 + -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 + 41*p**3 - 36*p**3 + 3*p**5 + (-p**2 - p**2 - p**2)*(0 - 2*p**3 + 0).\nAnswer: 14*p**5 + 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let u = 11\/4 + -8\/3. What is the closest to -0.3 in u, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*k - 5, -9*k + 5 = -4*k + 4*m. Let o = -3\/82 - 149\/410. Let b = -13 - -8. What is the biggest value in b, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.1 - 9.7. Let f = 0.14 - 2.14. What is the second biggest value in f, o, 1\/6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 15 = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghdqq. What is prob of picking 1 d and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let v(d) = d**3 - 2*d**2 - 2*d + 1. Suppose -3*p + 3 = -6. Let i be v(p). Let j(b) = -4*b + 2*b**2 + i*b. What is j(g(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 684246 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: What is the product of -153 and -0.3?\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*z**5 + 110*z**4 - 452*z**3 + 536*z**2 - 116*z - 70 = 0. What is z?\nAnswer: -1\/4, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 0.04, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 1. Let y(v) = 2*v + 7. Suppose 0 = -5*b - 13 - 17. Let r be y(b). Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002 + -376. Suppose -j + 116 = 4*v - 389, -5*v - 3*j + i = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from dnynnndddhn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/5 - 184*t**3\/5 + 36*t**2 + 184*t\/5 - 182\/5 = 0.\nAnswer: -1, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/5 + 11\/5. Let l = 19.4 - 19.3. Let j be (-8)\/(-30) - 4\/(-10). What is the nearest to j in 0.2, l, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/84038 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (-2 - -6 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*w**2 - 17 + 33 - 18 - 141*w**2 + 24*w wrt w.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 11*t**2 + 6*t - 11. What is the tens digit of a(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39093209*s**3 + 2001596*s wrt s?\nAnswer: 234559254*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/4 - 32315*q\/4 - 29762097\/2 = 0.\nAnswer: -30354, -1961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -20*a + 6. Suppose 3*v + 5 = -r + 13, 3*r - 3*v + 12 = 0. Let k be l(r). Let z be (-4)\/6*(-39)\/k. Put -2, 3, -8, z in descending order.\nAnswer: 3, z, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127551816 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3)*7\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*r = -3 - 3, -2*s = -3*r + 9. Suppose -2*y + 288 + 78 = s. What is the second derivative of 3*z**5 - 183 - 3*z + y wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -9*g + 12*g - 3*r, 3*g - 25 = -2*r for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8344 <= 8315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -165975.035571.\nAnswer: -165974.935571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 40*l - 3 + 23*l + 3 + l + 15*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0197*-0.4\nAnswer: -0.00788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6625872 and 744480?\nAnswer: 66258720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.417 times -2\nAnswer: 2.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 3*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + 29. What is the least common multiple of b and 9?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 20001202122122221?\nAnswer: -20001202122122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**5\/180 + z**3\/18 + 9*z**2\/2 + 4*z - 115. Let y(d) be the second derivative of l(d). Suppose y(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9748 + 4505 + 4161)*(-6*s + s + 3*s) to the form v*s + c and give v.\nAnswer: 2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2377*l**2 + 3 - 2355*l**2 + 2*l - 13 to u*l**2 + p*l + r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Let o be -3*(-40)\/12 - (-1)\/1. Let h = o - 16. Sort h, n, 5 in descending order.\nAnswer: 5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 8 = 0. Let c be 3\/g - 66\/(-4). Let o = -9 + c. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3520 and 10208.\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -3*f + t, 105*f - 103*f + 7*t + 24 = -21 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*d + d. Suppose -d*t = -74 + 59. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqvzzutvqzz. Give prob of sequence uzq.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (7\/(-49))\/((-1)\/33299)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -140 + 46 + 30\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 19, -3.7 in ascending order.\nAnswer: -3.7, -3, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/3 - 28*r**3\/5 - 54*r**2\/5 - 112*r\/15 - 8\/5 = 0. Calculate r.\nAnswer: -6, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20770.0000046347 + -20770. Round l to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 18*t - 4)*(-t**4 - 2*t**4 + 2*t**4) + (2*t**3 + t**3 - t**3)*(t**2 - 4*t**2 + t**2))*(266 - 54 - 9).\nAnswer: 2842*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + j + 3*j + 8 = 0, 3*o = 3*j + 18. Solve n - 2*c - 4 = 0, 3*n = -o*c - 0 - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 7247?\nAnswer: -7253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 769 and 0.02?\nAnswer: 15.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166898\/15 + 11122. Find the common denominator of j and (-35)\/(-315)*1\/9*23.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 + -7. Let f = p - -1.12. Let w = 0.08 + f. Which is the closest to w? (a) 0.3 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - -2)\/((-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20671 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 65. Suppose b + m*b = 4*g - 204, 5*g - 255 = b. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2030 = 2*z + 4*q, -10*q - 2070 = -2*z - 6*q. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*u + 1674, -851 - 7607 = -5*d + 2*u. Round d to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6*p + 2. Suppose -5*g + 0*g - 40 = 5*s, s + 26 = -4*g. Let z be v(g). What is the highest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + g + 13060, 5*a + 6*g = 5*g + 13060. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 307*j**6\/2 + 190*j**3\/3 - 82. Find the third derivative of x(s) wrt s.\nAnswer: 55260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2645, 10591, 23835, 42377, 66217, 95355?\nAnswer: 129791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1798, 1780, 1764, 1750, 1738?\n\"Answer: s**2 - 21*s + 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14 + 5 - 10 + 2 - s. Let r be o(-18). Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/2 + -2. What is the closest to -0.1 in 2, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89127082 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - sqrt(56)\/(sqrt(32)\/sqrt(4) + sqrt(8))) + 3.\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 491 - 496. Put -30, -2, -4, q, 2 in ascending order.\nAnswer: -30, q, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 477219 and 84.\nAnswer: 13362132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9536 - 1.528. What is o rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 + 2*z**3 - 2*z**3)*(87 - 179 + 74) + 107*z**3 + 79*z**3 + 79*z**3 - 2 as w + c*z**2 + a*z**3 + k*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/220 (c) 4 (d) 70 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -931*h**3*k**2 - 33*k**2 - 6*k wrt h?\nAnswer: -2793*h**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79927 or 79932?\nAnswer: 79927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let w = 4 - h. Is 1*(164 - -2)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-8))\/(-9)*1*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (-3 + -3)) + 6. Factor 10*t**3 - 3*t**2 - 1 - 9 - a*t**4 - 14 - 13*t**3 + 12*t + 21*t**2.\nAnswer: -3*(t - 2)*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390\/11 - 1610\/33. What is the common denominator of -127\/6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023065405 a multiple of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-3)\/(-10)). Suppose -3 = y*t + 7. Let q be t\/(-4) + 7\/(-6). Which is bigger: 0.5 or q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514966082 equal to 514966083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + 17 + 70. Let p = u - 46. Is (-1 + -1)\/((-1)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*0\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 0*v - 28 + 12 + 0 + 0 + 2*v + 3*v + 0*v - 2*v + (-v - 2*v + v)*(1 + 0 - 2).\nAnswer: 6*v - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 5551*b + 512978. Calculate f(-94).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -158 + -a42aa?\nAnswer: -a4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2\/(-8))\/(4\/(-304))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 - -a?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2214 by 10.\nAnswer: -1107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106235 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/13)\/v**(-23) assuming v is positive.\nAnswer: v**(305\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from {j: 5, g: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/21*(-30)\/(-40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229825 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14203*i**4*v**3 - 30*i**4*v + 2520399*i*v**3 + i*v**2 wrt i?\nAnswer: -170436*i**2*v**3 - 360*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(-2*sqrt(637) + 5).\nAnswer: -60 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13629.9996ns in days?\nAnswer: 0.000000000157754625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 516283.\nAnswer: 1\/516283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 2*a**2 - 2*a - 1. Let l be w(-2). What are the prime factors of l\/(-6) + (-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 10, o: 1, n: 3, f: 3}. Give prob of sequence np.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 3*h + 3. Let c be i(3). Suppose 2*s = -s + c. What is the third derivative of 0*f**4 + 4*f**2 + 5*f**s - 5*f**4 + 4*f**5 wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.23416 to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1556 - 2451. Round f to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + 13. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -27*a + 64. Sort a, 12, 5, -4 in ascending order.\nAnswer: -4, a, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119 in 2\/13, 51, 0.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -420 - -415. Let m be i + (-14)\/(-3 - -1). Solve -m*t = 3*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476.8 - -477. Let d(b) = -b**3 - 3*b**2 - b. Let l be d(-2). Let h = 0.4 - 0.5. What is the nearest to h in a, -0.5, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2308.61 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -25482 > 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 0. What is the closest to 1\/4 in q, 3, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwncwcnmwwc. What is prob of sequence ncw?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 - 74*j + 10. Let k be u(-3). Calculate the highest common divisor of 1472 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13570419 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297726 - -71454137\/240. What is the common denominator of 19\/14 and c?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-13.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49149?\nAnswer: 3, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + (-44)\/10. Let q(l) = l**2 + 3*l - 3. What is the remainder when 3 is divided by q(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3321 and 161171.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-4)*r)\/r)**48\/(r\/(r**(-2\/13)\/r)*r)**(17\/4) assuming r is positive.\nAnswer: r**(-8185\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l**2 + l - 1. Give j(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 10*h**3 + h**2 + 6*h**2 - 12*h**2 - 6*h**2 - 10*h**2 to u*h**3 + g + o*h**2 + v*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 429429907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*d**3*p**3 + 4791*d**3 - d*p**2 - p**6 + 6*p**4 wrt p.\nAnswer: -888*d**3 - 120*p**3 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2\/7 - 212*c\/7 + 440\/7 = 0. What is c?\nAnswer: -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from syscykskytksysyk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000834707 to six decimal places.\nAnswer: -0.000835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 45. Suppose 3*c = 62 - 17. Suppose 0 = c*n - 18*n + 15. Are z and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44233, -44451, -44957, -45865, -47289, -49343, -52141, -55797?\nAnswer: -60425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412\/5 + 83. Let c = 63 - 83.5. Let f = -20 - c. Sort -1\/6, f, s in decreasing order.\nAnswer: s, f, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -248 - -67. Is y\/(-4) - (-6)\/(-24) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.3019 micrometers to kilometers.\nAnswer: 0.0000000333019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345166060 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 12. Let x = -105 - -109. Suppose -4*p = x*c - 24, -4*c - p + w = -c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18232 by -6.\nAnswer: -9116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3930 - -2186. Is ((m - 1)*1)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Let q be 450*(930\/(-9))\/s. Round q to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - (-92*3\/(-12))\/(-1). What is the highest common factor of 10649 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12667265 is divided by 5418.\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130708120.\nAnswer: 2, 5, 3267703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1036054 - 14?\nAnswer: 1036040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/21066355 and 61\/1150.\nAnswer: 4845261650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -30. Solve 3*g + h*w - 1 = 2, -4 = -4*g - 5*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, -2*o - 3*p - 7 = -0*p. Let t be 5 + (0 - o) + -2. Solve -x + 6 = 3*x - t*r, 3*r = -x - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1920403 + -1195291. Let m = 2697909 + q. Suppose y + m = -s - 4476981, 3*y = 3*s + 23699994. What is s rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 85 = -35*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32232159 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.061 in 0.2, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 8, m: 1, e: 2, o: 1, h: 2}. What is prob of picking 1 m, 1 s, and 2 a?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 2*i**2 - 2. Let r = -2 - 0. Suppose -2*m - 3*y + 140 = -40, -y + 2 = 0. Calculate the remainder when m is divided by o(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772099193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 10*l - 4*t = -10624, 0 = -2*l + 2*t + 5288. What is the lowest common multiple of l and 4?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*v**2\/3 + 3476*v\/3 + 12482\/3 = 0.\nAnswer: -79\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 2\/7 (c) 0.5 (d) -1649 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-2*-3*sqrt(7)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 2376.\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630, -1129, -1548, -1887, -2146, -2325?\nAnswer: -2424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8075.043 minutes to milliseconds.\nAnswer: 484502580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269 a factor of 148633773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -9. What are the prime factors of (5 - c)*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 954*t**2 - 13*t + 3. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d8 - -37?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350655?\nAnswer: 3, 5, 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -120010202211011?\nAnswer: 120010202211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3000 and 20?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 2, h: 6, q: 1, t: 3}. What is prob of sequence qoj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23192402 to the nearest integer?\nAnswer: 4816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -7022040 divided by -351102?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 102250 + 1440049 = -4*k, 6688920 = 5*x - 5*k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhub when four letters picked without replacement from {b: 2, n: 3, u: 1, r: 3, h: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2756, -1, -2 in increasing order.\nAnswer: -2, -1, 2756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((4\/(-6))\/(70\/(-15))) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - b**2 + 91*b + 5 - 156*b to the form y + x*b**2 + d*b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1020\/71 (b) -2\/47 (c) 39.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + 8\/9. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*sqrt(612) - sqrt(119)\/sqrt(252))**2 - -5*(sqrt(2057) + sqrt(2057) + -1 + sqrt(2057) + 3))*-1.\nAnswer: -202337\/6 - 990*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 30. Give x(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 2*c - 5*s, 4*c - 4 = 3*s. Suppose -c*a + a = 0. Suppose a = -r + q + 52, -3*q + 48 = r - 0*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/7, -75, 5\/6, 1\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -22a?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4478508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*w - 4*p, 4*w = 6*p - 2*p + 64. Solve -8 = -4*r, -5*h + 12*r - w*r - 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1003*c**2 - 143*c + 131. Let j(d) = -251*d**2 - 36*d + 33. Let b(z) = 2*f(z) - 9*j(z). Let t be b(45). What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004520796663 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3608, -7588, -12302, -18116, -25396, -34508?\n\"Answer: -61*s**3 - s**2 - 3550*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 518778.981 minutes in weeks?\nAnswer: 51.46616875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146028.\nAnswer: 2, 3, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 661520 and 784.\nAnswer: 32414480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than -23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/12, 0.1, 4, 0.2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1875 and 172315500.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:24 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaql when four letters picked without replacement from {a: 4, l: 1, i: 2, q: 1, o: 4, f: 3}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-17)\/5. List the prime factors of (9\/k - 3) + 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - (-174)\/(-18))*63\/(-8). Find i, given that -k*i**2 + 21\/2*i + 3\/4*i**3 - 6 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-1)\/4)\/(1\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8468*a**2 + 3456*a**2 + 3332*a**2 + 2724*a**2.\nAnswer: 1044*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-330)\/(-11 - -5). Find the first derivative of c*k + 25 + 21 - 2 + k**4 wrt k.\nAnswer: 4*k**3 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 60 = -4*u + 68*j, 3*j - 18 = 0. Solve 6*p + u = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14776370 minus -2?\nAnswer: 14776372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27 and -55\/42212.\nAnswer: 42212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/3 + 18. Let o = -0.32 - -0.22. Which is the smallest value? (a) -0.3 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22182?\nAnswer: 2, 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 + -5 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 336 - 334.17. Let f = 3.50945848 + -1.67945769. Let o = m - f. What is o rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1729*w**2 - 1730*w**2 + 5201*w**2 - 1741*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13603 - -144?\nAnswer: -13459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27439643 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 55262 + 2*o + 2*o + o.\nAnswer: o - 55262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13052 and 2.\nAnswer: 13052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 5. Let s = -3947 + 3938. Let u(w) = -13*w**3 - 19. Give s*m(f) + 2*u(f).\nAnswer: f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1995436, 1995429, 1995422?\nAnswer: 1995415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555641 is divided by 1695.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33594 + 772901\/23. Is 10 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31480, 29898, 28316, 26734, 25152, 23570?\n\"Answer: -1582*n + 33062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-49) + (-202)\/266. Let d be 51\/(-34) + ((-82)\/(-2))\/(-15 + 45). Which is the second smallest value? (a) d (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 78, -1, 7 in descending order.\nAnswer: 78, 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 4, e: 2}. Give prob of sequence eelg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, o: 2}. What is prob of sequence xxoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97600356 and 5422242.\nAnswer: 97600356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50, -92, -128, -158, -182?\n\"Answer: 3*q**2 - 51*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15402 and 2755146?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*t**3 + 17*t - 46*t**2 + 46*t**2 wrt t?\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -86 and 502877.\nAnswer: 502791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 7963112*q - 167223588.\nAnswer: -4*(q - 1990757)*(q - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8375, -8330, -8255, -8150, -8015?\nAnswer: -7850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22013 and 5993835.\nAnswer: 5971822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -716165*n**3 - 922667*n**2 wrt n?\nAnswer: -4296990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2392624747, -4785249493, -7177874239?\nAnswer: -9570498985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 2*d + 4. Let p be v(-3). Let q = -40 - -45. Suppose -l - 18 = -q*x - 56, -2*x - 4 = 0. Calculate the highest common divisor of p and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*j + 184. Suppose 3*a - 4*a + j = 0. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*z + 278 + 202*z - 278.\nAnswer: 743*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 + 1 + -3. Let g(h) = -4 + 4*h - 3*h + 3. Let i(k) = k**2 + k - 2. Let q(n) = -5*g(n) + i(n). Let a(j) = j**2 - 3*j + 2. What is f*q(r) + 4*a(r)?\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*t - 43*t. Let v be 8*(25\/5)\/(-2 - t). Find the common denominator of -37\/15 and 272\/72*(-6)\/v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 100*f**2 - 44*f - 333. Give h(-33).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 + b**5\/30 + b**4\/24 - 14*b**2. Let y = -4 + 1. Give v(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l - 61. Let s = -2411 + 2417. What is p(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*a = 87*a + 50 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -156*h - 124*h + 278*h. Let d(n) = 0*n**2 + 8*n**2 + 0*n**2. What is d(r(o))?\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 4. Let m(q) = 2*q - 15. Let p be m(10). Suppose 19 + p = 4*x. What is the remainder when d(3) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and 5?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -101100434?\nAnswer: -101100432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*v**3 + 4*m**3 + 59*m*v**3 + 2*v**2 - 6 wrt v?\nAnswer: -18*m**3 + 354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n, 2*b + 0 - 14 = -2*n. Let u be (4\/(-12))\/(1\/b). Let m(f) = -f**2 + 10*f. Let y(z) = z + 1. Let l(v) = u*m(v) + 4*y(v). Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 + (-30544)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 71\/2 (b) -2\/17 (c) -79 (d) -4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -943182 divided by -6.\nAnswer: 157197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(508\/(-8) + 6). Suppose -2*h - a + 125 = 0. Suppose 5*p - 17 = -2. Solve -p*x - h = d, 5*d - 2*x + 0*x + 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28044 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*o - 17, 3*o + v - 13 = 5*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -53. Suppose 0 = -b*n + 5*n - 128. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*m + 157231121*c*m + 717066115*m wrt c.\nAnswer: 3*c**2*m + 157231121*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 less than -1416\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (4 + (-2 - -3)))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4*b**2 + 4*b**3)*(92*b - 2752 - 265*b + 2754).\nAnswer: -692*b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1342\/7 - 192. Let q = 3.1 + -3. Let z = 193 - 192.6. Which is the nearest to 2\/7? (a) z (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14259391 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47223, -94198, -141173, -188148?\nAnswer: -235123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116744767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8309 - 39590 = -3*d, 3*d = -5*y + 156441. Let n = y + 14710. Round n to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011011 (base 2) to base 6.\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + sqrt(4800) + 1*sqrt(4800) + sqrt(4800) + 4 - (-4 + 1*(sqrt(4800) + 1 + sqrt(4800)))))**2.\nAnswer: 880*sqrt(3) + 4921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -4*a. Let g(m) be the third derivative of -m**6\/24 + m**5\/60 - m**4\/24 - m**3\/6 - m**2. What is the units digit of g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/84 and (5*4\/20)\/(364\/115).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -143.71931.\nAnswer: -172.463172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 3, x: 10, a: 3}. Give prob of sequence mfa.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/3 + 90*n - 431480\/3 = 0.\nAnswer: -322, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3 + 380*c**2 - 35717*c - 72962 = 0.\nAnswer: -2, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9333, 3, 5 in ascending order.\nAnswer: 3, 5, 9333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 528, 3802, 12434, 29022, 56164, 96458, 152502, 226894?\n\"Answer: 433*p**3 + 81*p**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686105349.8 take away -132.4?\nAnswer: -1686105217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba + -bd73?\nAnswer: -bcb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**4 + 22*r**4 + r**4)*(1 - 1 - 2*r)*(1 + 1 + 1)*(2 - 6 + 3).\nAnswer: 90*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3690392 times -0.08\nAnswer: 295231.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45843819 + 7543819. Round a to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518209?\nAnswer: 7, 11, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 3. Let z = 393 - 396. Let k(i) = -7*i**2 - i + 5. Give z*k(u) + 5*f(u).\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667c0 (base 14) to base 3.\nAnswer: -110121212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1781*d = -249*d - 48720 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 3*u + 13)*(4 - 3 + 0)*(3*u + u - 2*u)*(-2*u**2 + 3*u**2 - 3*u**2) to the form c + r*u**2 + t*u + s*u**3 + w*u**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + (sqrt(275) - (sqrt(275) + 2 - sqrt(275))) + -1 + 0 + 5)*-3)**2.\nAnswer: 1800*sqrt(11) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5, 3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4))**(-7\/3))**(-2\/49)\/((s**0\/((s\/s**2)\/s*s))\/(s**(-2\/3)\/s*s*s**(-5))) assuming s is positive.\nAnswer: s**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 4*g, 3*h + 2*g = -8. Let f be (-48)\/(-27) - (-2)\/9. Let b = f + h. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3198.\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - ((-13 - -8) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*a + f - 11, -29 = -2*a + 5*f. Suppose -a*b + 5*b = 3*g + 3, -4*g + 2 = -b. Let u = b + 3. Is u at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123895774?\nAnswer: 2, 1901, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12436 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: What is the nearest to -2 in 332, -5, -0.1, -6, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19252149 by -3.\nAnswer: -6417383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4073110 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41004537*r + 8151 = 41004394*r for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 10 + 3*p + 3\/2*p**2 - 3\/4*p**4 + 1\/3*p**3. Does 5 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1784\/104 - 17) + (-4)\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*t**2 - 47*t**5 - 163*t**5 - 227*t**2 - 156*t**2 wrt t?\nAnswer: -12600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8, -2*b - 9 + 27 = 4*h. Put b, 5, 1\/54 in ascending order.\nAnswer: 1\/54, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztlz when four letters picked without replacement from {z: 4, l: 1, t: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15278*l**2 + 15278*l**2 + 64*l + 13*l**4 wrt l.\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 86. Suppose 653 = 5*s + l*q - q, 2*s - 272 = -4*q. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpqc when four letters picked without replacement from {p: 2, q: 2, d: 1, c: 8}?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - 19\/(-2). Let p = -17 - -31. Let k = p - 9. Solve -4*g - x - 9 = y, 15 = -k*y - 5*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656 divided by 164.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(sqrt(176) + 1) + (0 + (sqrt(176) - (sqrt(176) + 1)) + sqrt(176) + sqrt(176))**2 + -2)*6.\nAnswer: 24*sqrt(11) + 4236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m - 142. Let z be c(-15). Let x(l) = -l**3 + l**2 - l. Let p be x(-2). Let f be 2\/7 + 1004\/p. What is the highest common divisor of z and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 1, n: 7, a: 4, x: 2}. Give prob of picking 2 c and 1 x.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -2\/27*x**4 + 0*x - 1\/270*x**5 - 16\/27*x**3 + 3*x**2 + 0. Factor w(a).\nAnswer: -2*(a + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let n = -64.8 + 58. Let q = 7 + n. What is the nearest to q in -4\/3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + 89 - (-1 - -62).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6945?\nAnswer: 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15635 by -3127.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hohohooooooooo. Give prob of sequence hhoh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {m: 3, c: 1, k: 9, e: 3, n: 1, j: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-324)\/63)\/((-2)\/7). Let h = -3701 - -26035\/7. Is t smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.7 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*y + 12 = 0, -3*v - 4 = v - 5*y. Let k be (-300318)\/22 + v\/(-22). Let s = 354831\/26 + k. What is the common denominator of s and 81\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4088*n**2 - 1825. Let p(o) = 67*o**2 - 30. Determine 365*p(d) - 6*u(d).\nAnswer: -73*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let g(t) = -6*t**3 - t**2 - t + 1. Is g(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 29.7.\nAnswer: 3118.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-310)\/2325 + 82862\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 29*h + 24*h - 3321, 0 = -z - 3*h + 3353. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -3\/7, 3\/2, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -0*v. Let p(h) = -4*h**2 - 5*h + 8. Let f = -46 - -70. Let x(b) = 23*b - 67*b + 21*b - 1 + f*b + b**2. Give v*p(t) + 5*x(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 8*p - 5. Let k be l(-5). Suppose k*z - 16 = 3*z. What is the remainder when 29 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000413 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4934.06 + -4934. Which is the nearest to -5? (a) g (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 940 - 938. Solve 0 = 5*l - 2*z + r, 3*l - 4*z + 5*z = 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/72 and -173\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 2*k + 2. Let m(a) = -171*a**3 + a**2 + 6*a + 1663. Let w(j) = 4*c(j) + m(j). What is the derivative of w(h) wrt h?\nAnswer: -513*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 107\/3. Let u be 5 - (-36)\/48*4. Let t be 473\/11*1 - u. Calculate the greatest common factor of t and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-28)*23142\/(-114).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiiijijccjjjjji. What is prob of picking 2 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.2 (c) 174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34554, 34684, 34920, 35280, 35782?\nAnswer: 36444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7775452927 + -0.048.\nAnswer: 7775452926.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*g + 11993 - 56729 = 0 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -46*v + 1. What is u(3)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 130951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxx when three letters picked without replacement from {o: 1, h: 2, x: 2, n: 1, i: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(sqrt(10)*1))\/sqrt(9)*3)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 1\/3, -3, -5, -2\/163?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 35888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose d = -2*i + i. Factor -6*v**2 - 2*v + i*v + 4*v**2.\nAnswer: -2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1*-3)\/(sqrt(176) - (1*sqrt(176) + sqrt(176))))\/(2*(sqrt(12) + sqrt(108))*5).\nAnswer: 3*sqrt(3)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**16*k**5\/k*(k\/(k**(1\/9)*k))**20 assuming k is positive.\nAnswer: k**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4)*p)\/p)\/(p\/(p*p*p**2)))\/(p**2\/(p*p**(-2)\/p*p))*((p**2*p)\/(p\/(p\/((p**(2\/5)\/p)\/p))*p))\/(p*p\/p**(-2\/5)*p\/(p**(1\/5)*p)) assuming p is positive.\nAnswer: p**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 84*p - 12. Determine y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 154*x + 726. Determine n(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-183.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 44. Suppose -o*d + 0 = -24. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**4)*(m*m*m*m**9)\/m*(m**(2\/5))**10 assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - l + 5. Let u(h) = -3*h**2 - h + 4. Determine 3*i(a) - 4*u(a).\nAnswer: 3*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152310 + 219293. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*u - 582859*a**2 + a*u + 29537*u wrt u.\nAnswer: -4*a**2 + a + 29537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 times -0.12?\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + 2) + 0.\nAnswer: 10 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 8\/9*t - 4\/9*t**2 + 1\/18*t**4 - 2\/27*t**3 + 11. Find s, given that q(s) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 21. Let j(b) = -b + 4. What is -11*j(w) + 2*p(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 994 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10\/3)*z)\/z*z*z*z)\/(z*z*z\/(z*z**(1\/10))) assuming z is positive.\nAnswer: z**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*k = -986*k + 5*v + 36, 21 = k - 2*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605.368 rounded to the nearest integer?\nAnswer: -1605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*40\/448*16\/(-8).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**3\/3 - 17*i**2\/2 + 7*i - 19. Is h(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1426 + 2233. What are the prime factors of n?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/33 (b) -52356 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54618 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12068 or 12069?\nAnswer: 12069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 + 380. Let o = v - 145. Is 6.6 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/7 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5034, -5032, -5030, -5028, -5026?\n\"Answer: 2*y - 5036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76489894.\nAnswer: 2, 13, 1283, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 + 966\/15. Suppose -6*x + 332 = 44. What is the highest common divisor of g and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from conog. What is prob of picking 1 n, 1 g, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:07 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11137960, 11137974, 11137988, 11138002, 11138016, 11138030?\n\"Answer: 14*f + 11137946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37253 is divided by 1693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 5 + 3*r - 71.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*t + 1906 - 206. Which is smaller: 116 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225231 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 510.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 457639 and 485.\nAnswer: 221954915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52a4 - 3?\nAnswer: 52a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 32 + 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w. Let a(b) = 1355986*b**2. Determine m(a(q)).\nAnswer: -8135916*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 22 - (-28 - (5 + -4 - 22))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 103390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -5*i + 630. Suppose c = 2*c - i. Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**3 - 113*d**2 + 301*d - 206. Determine k(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -9, 37, 5, 620, 2 in ascending order.\nAnswer: -17, -9, -2, 2, 5, 37, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 22*h - 7*h)*(-h - h - h).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(1 + 0 + 2)*(-2*s - 2 + 2 - 6 + 6 - 3*s + (2*s - s - 2*s)*(0 - 1 + 0) - 45*s - 34*s + 127*s).\nAnswer: -396*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959858901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 12. Solve -2*w + 5*w + h = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 666\/(-126). Which is the third smallest value? (a) -0.4 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5692 (base 10) to base 2.\nAnswer: -1011000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, 2591, 3592?\nAnswer: 4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l**6 - 4*l**5 - 238*l**2 wrt l.\nAnswer: -2520*l**3 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8241 a factor of 1801466118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnvnyyyxnvn. What is prob of sequence yx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2311003 + -103?\nAnswer: -2311111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 59 = -h, 4*h - 367 = s - 371 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i - 5. Let q(m) = -17*m - 8. Let h(k) = -5*q(k) + 8*w(k). Let u(o) = -7*o. Calculate u(h(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(sqrt(252) + sqrt(252) + 0 - sqrt(252)) + 1 + 1))**2.\nAnswer: -3456*sqrt(7) + 145296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2 - 8. Suppose -h*m = 4*p - m - 11, 4*p - 26 = -2*m. Suppose 16 = 5*r - p. Solve -2*d = -r*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) -4 (c) 862\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -7)*(16 + 0). Suppose -5*x + 515 = 5*d, -2*d + 176 = -0*x - 4*x. Let n = d - u. Calculate the highest common divisor of 51 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 158.195. Let o = -2.805 + l. Which is the second biggest value? (a) -24 (b) o (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1531901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2501003 + 0?\nAnswer: 2501003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1037*p - 57. What is the tens digit of z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 183*v - 864. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j. Suppose 5*h - 3 = -13. Let u(n) be the first derivative of 247*n - 125*n - 122*n + 115 + 8*n**2. Determine h*u(i) + 7*d(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11*(1 + 0)*1. Suppose -5*k = 5*q + 16 + 4, 14 = -2*k - 4*q. Let u be -6*1*k + -1. Solve -20 = -0*z - u*z, -5*j = -z - d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/29 at most -4491922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.37 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 7*q + 6969 = 3*n, -5*n + 11612 = 4*q. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -5*p**8\/84 + 455*p**4\/24 - 2*p**2 + 8*p. Find the second derivative of f(c) wrt c.\nAnswer: -400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121120 (base 4) to base 3\nAnswer: 2020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/96500 and 44\/62725.\nAnswer: 1254500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242622034 to the power of 1\/2, to the nearest integer?\nAnswer: 65135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 77 = -4*n, -4*n - 77474 = -3*c. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**7)\/i**(-6)*i**(-1\/7)\/(i**(1\/4)\/i) assuming i is positive.\nAnswer: i**(437\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51617 (base 11) to base 8\nAnswer: 223020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 5*s - 155 = 0, -484*z + 486*z - 18 = 2*s - 4*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 371231.\nAnswer: 106\/371231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 24*l + 6*l = -111*i + 35, 4*i = 4*l - 72 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = -403*w - 4785 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86559, -173120, -259681?\n\"Answer: -86561*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*w = -14905 + 3367, -3*a - 5*w + 11586 = 0. What is the remainder when a is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123456 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 67\/(-402)*(-1)\/7. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**4 + 37738*s**3 - 2*s**2 - 143*s + 1058?\nAnswer: -96*s + 226428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -1262\/5?\nAnswer: -1262\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2 - 1670*j - 69279. Determine a(-92).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 269.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-12682 + u + 281*u**2 - 12685 + 25368).\nAnswer: -281*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*q - 66 = 0, 5*l - 7*q + 99 = -3*q. Let h(n) = -n**2 - n - 2. Let p be h(4). Are l and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 82.99999772. Round n to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -5, 0.1 in decreasing order.\nAnswer: 0.1, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -1. Calculate the remainder when 35 is divided by a*(-2 - (0 - -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 432 = -13*p. Let z = p + 38. Let k be (2 - z)*(-22)\/8. Calculate the highest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/3 + 337*p**3\/3 - 8944*p**2 = 0.\nAnswer: 0, 129, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -5, 311, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -9, -8, -5 in descending order.\nAnswer: 56, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:02 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a - 2. Let u be z(2). Let q be (-36)\/u + 4*4\/(-40). Let m(s) = -69*s - 29. What are the prime factors of m(q)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*i + 45, 5*i - 3 = -3*r - 58. Let g = r + 13. Solve 3*o - 30 = 5*u, -6*o + g*o + 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 3 + sqrt(300) + -5 + sqrt(300) + -1).\nAnswer: -7 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10309 (b) 700 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9. Is (i\/(-2))\/(2\/596) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 313.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 43*t + 2*a + 266 = 0, 0 = 3*t + a - 363. Let u = 12 + -5. What is the lowest common multiple of t and u?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) -136 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -100040643?\nAnswer: -100040630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7221\/(-83))\/(-174))\/((-2)\/(-52))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 2*w**2 + 17 + 53\/6*w**3 + 0*w**5 - 1\/60*w**6 + 0*w**4 + 17\/210*w**7 + 0*w. Differentiate i(f) wrt f.\nAnswer: 68*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 631*v + 5. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*t - 3*t. Let i = t - 36. What is the units digit of -3*(-12)\/i - -52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3644 + 20950. List the prime factors of r.\nAnswer: 2, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1813 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -197. What is the second derivative of 55*o**2 - 16*o**2 + 5*o**3 - o**x - 23*o**2 - 54*o wrt o?\nAnswer: 24*o + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -7. Which is the closest to -0.1? (a) k (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**6\/30 + 533*p**4\/6 + 3337*p**2 + 102*p. Find the first derivative of y(a) wrt a.\nAnswer: -4*a**3 + 2132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + 5*i)*(3 - 6 + 1)*(-8 + 1 - 20).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/12 and 20\/120*-6*194\/888?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**19)**(-30)*o\/o**(23\/4)*(o**(-34)\/o)\/o assuming o is positive.\nAnswer: o**(-2443\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68126625 a multiple of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 + 4 - 3 + (-4 - u + 4)*(-1 - 1 - 1))*(-2*u**3 - 1 + 1).\nAnswer: -10*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113712487 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 10*z**2 + 10*z + 12. Let y be j(-9). Let g(w) = 2*w + 3*w - y*w - w. Let x(t) = 0*t + 2*t + 3*t. Give g(x(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -49*s**4\/4 - 5*s**3\/3 + 5*s**2 + 3*s + 14. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.2. What is the smallest value in 2\/7, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 300?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2119, 2160, 2201?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghlhhwlwww. What is prob of sequence ll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a35 + 3?\nAnswer: 28a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19647 or 143?\nAnswer: -19647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 638\/132 + (-55)\/10. What is the closest to -1 in i, 6\/5, 10\/3, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let c be 1 - -15 - y - 2. Suppose k = -4*t + c, -k = k + 2*t - 20. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o = 18*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3 + 5. Let i be 24\/8 - (u - -3). Solve -y = i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/24 + 2\/8. Suppose 0 = g - f*g + 39. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80909180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 2*u**3 + 0*u**3)*(0 + 1 + 1)*(-5 + 3 + 1)*(0 + 4 - 3).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o - 2*t, -6*o = -2*o - 4*t - 60. Let g = o - 7. Let c be (g\/(-8))\/((-2)\/20). Solve 0 = c*m - j + 5, m + 4*m - 4*j = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1713 - -1718. Suppose 0*v - 3*v + 2*b + 16 = 0, -9 = 3*v + 3*b. Solve -5*g - o*h = 45, 0 = -v*h - 0*h - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-14))\/(5\/2)*-3. Which is the second smallest value? (a) 0.4 (b) k (c) 0.28 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*p**4 - 2852841*p - 63774566 wrt p?\nAnswer: 60*p**3 - 2852841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Suppose c - 3 = -1. Suppose -4*q + 16 = 4*d - 2*q, 0 = -4*d + q + 4. Let z(f) = -f + c - d. Give z(w(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 16 = 3*q, -4*z + 16 = 0. Suppose 1 = q*k - 75. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (8 + -8 + 6) - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5 - (-25 - -22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 267734 + 873831 = 36*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009054 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c. Let k(m) = 3 - 9 - m**2 + 6. Calculate k(l(g)).\nAnswer: -400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.6 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/48)\/((-2)\/6). Suppose -4*c = h*c - 30. Solve 4*l = -c*v - 20, v - 10 = -0*l + 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from chfborh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.5769067?\nAnswer: 0.0769067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.02116.\nAnswer: -0.002116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2432, -2401, -2368, -2333, -2296, -2257, -2216?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(9*3\/18). Put d, 3, 2, -5 in ascending order.\nAnswer: -5, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 939.5532l?\nAnswer: 939553.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - y**2 + 2*y**2)*(-24*y + 10*y + 25*y).\nAnswer: 11*y**3 - 55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78197 is divided by 4598.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 59 = 49, 2128 = z - 2*o. What are the prime factors of z?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 17*a - 73 - 14*a + 30 + 44.\nAnswer: 3*a + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d + 18*d + 16*d + 10*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + 11*d**5\/60 - d**4\/3 - 11*d**3\/3 - 61*d**2. What is r(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h**4 + 6*h**3 + 30. Let d be -4 + (12\/9)\/(4\/(-6)). Let z(r) = 52*r**4 + 17*r**3 + 89. Let m(y) = d*z(y) + 17*f(y). Differentiate m(l) wrt l.\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.439 - -1.439. Put -28, -0.2, 12, h in descending order.\nAnswer: 12, -0.2, h, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 1368153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2078, 93, -1, -4.\nAnswer: -2078, -4, -1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 5 + s**2 + 3*s - 8 + 8. Let d(y) = y**3 + 8*y**2 + 6*y - 3. Let f be d(-7). What is the tens digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2868, 2879, 2906, 2955, 3032, 3143, 3294, 3491?\n\"Answer: m**3 + 2*m**2 - 2*m + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18234 and 702?\nAnswer: 711126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 110 = 325. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111, 231, 355, 483, 615, 751, 891?\n\"Answer: 2*u**2 + 114*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:38 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, 3, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -50. Let o(m) = m**3 + 3*m**2 + m + 1. Let v be o(-2). What is the closest to 2 in h, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-81) + 4600\/(-270) + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**2 + 2*f. Let q(v) = -2*v**2 + v. Let o(h) = c(h) - 2*q(h). Let j(b) = -71*b. Give o(j(d)).\nAnswer: -30246*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -5, -1549 in descending order.\nAnswer: -5, -113, -1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4 + sqrt(288) + 1) + -4 + -5)*5)**2.\nAnswer: -32400*sqrt(2) + 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + 8*f + 4. Let h(l) = -l - 1. Let x(k) = 4*h(k) + v(k). Let n be x(-4). Calculate the highest common divisor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 19\/(-4) - (-25)\/100. Suppose -l*w = -2*x + 644, -3*x - 10*w = -11*w - 976. Does 58 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 11) to base 10\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110122011012 (base 3) to base 6\nAnswer: -5155222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 537\/(-16826)*6*(-8)\/108.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3, 6, 1226 in decreasing order.\nAnswer: 1226, 6, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8371.581 milligrams to nanograms.\nAnswer: 8371581000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - d = -25, -376*d - 5 = t - 380*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1539) + sqrt(1539) + 4)*-4)**2 + (sqrt(1539) + 2 + 3 + 5*(sqrt(1539) + sqrt(1539)*1))**2.\nAnswer: 58590*sqrt(19) + 2655044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:41 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/11 - 134756*o**4\/11 - 3029667258*o**3\/11 - 22798790075128*o**2\/11 - 1580456736937696*o\/11 + 4946641133420928\/11 = 0. What is o?\nAnswer: -22436, -73, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + c - 3, -256 + 246 = -3*w + 4*c. Find a, given that -4*a + 4\/5 - 5*a**4 + 4*a**3 + 21\/5*a**w = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 788 = 804 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29088 (base 10) to base 4\nAnswer: 13012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 9*c**2 + 11*c - 5. Let k be -2*(-6 - -1) - 0. What is the remainder when 13 is divided by w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1436 + 605. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 + -3.7. Let g be 6\/(-38)*2\/(-3). What is the closest to -1 in g, 4\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -52, -79, -106?\n\"Answer: -27*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233416410 minus 0.2?\nAnswer: -1233416410.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7078.4 to the nearest ten.\nAnswer: -7080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 2. Let q(g) = g + 1. Let b be q(5). Let w be p(b). Solve 3*i = w*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -351543 + 12?\nAnswer: -351531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -6.5\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -836268 or -836256?\nAnswer: -836256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 15*r + 3. Give c(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 8) + (-15)\/5. Let g be 2\/(-3) + r\/(-3). Suppose 9 = -g*k + 33. Calculate the smallest common multiple of k and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -26*n**2\/9 + 122342*n\/9 + 75376 = 0.\nAnswer: -72\/13, 4711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - -1*sqrt(275) - sqrt(275))*1 - 2*(sqrt(275) + -4))**2.\nAnswer: -80*sqrt(11) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139781, 139780, 139779, 139778, 139777, 139776?\n\"Answer: -j + 139782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 4*n)*(2*n**4 + n**4 - n**4) - 4*n**5 + 0*n**5 + 2*n**5 - 2*n**5 + 10*n**5 - 3*n**5 + 26 - 20 + 0*n**5 + 2*n**5 + 2*n.\nAnswer: 3*n**5 + 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1619, -76 in descending order.\nAnswer: -1, -76, -1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:22 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 64048.5402 to the nearest 10.\nAnswer: 64050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 - 214*f**2\/11.\nAnswer: -2*f**2*(f + 107)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 36 = -16*o. Solve o*i = -3*p + 19, -2*i + 4*i = 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63510.04 litres in millilitres?\nAnswer: 63510040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 4, w: 2, s: 9}. What is prob of picking 1 i and 3 s?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1433 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 24 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 156*d**2 - 404*d - 74408. Give g(150).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -17.25213143945.\nAnswer: -16.85213143945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from ppso?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 32*d**2 + 28*d + 127. Calculate k(33).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = i - r, -2*i + 5*r - 25 = 0. Suppose -t + 7 = -82. Suppose -q + d = 4*d - 11, 3*d + t = 4*q. Solve 0 = 4*z - i*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -i - 2 + 4, -12 = -2*t + 2*i. Suppose -a - 31 = -t*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 3. Let l(w) = -6*w + 4. Calculate 5*f(t) - 4*l(t).\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1377.5 + -1377. What is the nearest to 4.3 in 3, 1, 0, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 243*w - 1. Let y be b(1). Suppose -5*t + 3*t = -5*n - 34, 5*t + 4*n - 118 = 0. Calculate the greatest common divisor of t and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 2, 30, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 225.\nAnswer: -4\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202202210201 + -12?\nAnswer: 202202210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 314408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5 and 31\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 17 = -5*y + 10, -5*f = 5. Let z be ((-900)\/(-750))\/((-24)\/15). Which is the biggest value? (a) z (b) 3\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22500 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 + 2*c**3\/3 + c**2. List the prime factors of q(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.283 < -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, w: 2}. What is prob of sequence wg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/5)\/((-64)\/(-80)). Let d = 13\/4 + u. Find s, given that -1 + d*s - 1\/2*s**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 81406364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3860 + -77163\/20. Let s be 4 + -1 + (-3482)\/(-60). Let c = -341\/5 + s. Find the common denominator of r and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and 283.\nAnswer: 36224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t - 4*t. Let w be (-26)\/(-40) - 2\/t. Let m be -3*1 - (-8 + 7). Put w, m, -2\/5 in ascending order.\nAnswer: m, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:53 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231287198 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(4212)*4 - sqrt(4212).\nAnswer: -5 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfttvvvmvtzmm. Give prob of picking 1 z and 2 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.5, 3\/5, -7 in increasing order.\nAnswer: -7, -0.5, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -17, -34, -69, -128?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = 4*k. Let a = k - -2. Solve o = -a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 13*z**2 + 5*z - 5. Let b(w) = w - 1. Let v be 8\/(3\/(-2)*48\/36) + 5. Calculate v*a(p) - 5*b(p).\nAnswer: 2*p**3 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093429.\nAnswer: 41, 26669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -176.47 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f - 4. Let s be j(3). Let w = 5 + -12. Let d be 3\/((s - -2)*w). What is the biggest value in d, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1074\/7 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227390087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 806\/29 - 3508\/145. Factor 12\/5*l + 12\/5*l**3 - c*l**2 - 3\/5 - 3\/5*l**4.\nAnswer: -3*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109615453037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 - -8752952.373\nAnswer: 8752942.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 6*u**3 + 2*u**3 + 13*u**4 - 3*u**4 - 10*u**3 + u**2 to j + b*u + g*u**2 + x*u**4 + s*u**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/58950 and 74\/203967.\nAnswer: 10198350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/16*(-736 - -364). Which is bigger: -209 or d?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 4802 - 6*s - 10*s - 13*s + 4684 in the form z + u*s and give z.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/360)\/((-84)\/(-18)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 16*t**2 + 19*t - 29. Let h be n(17). Suppose 652 = i + h*a, 3*i + 4*a + 679 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a - 997. Give p(-63).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -613328.\nAnswer: -3\/613328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)*w)**(1\/6)\/(w*w\/(w\/w**(-2\/19))*w*w*w**(2\/11)) assuming w is positive.\nAnswer: w**(-4517\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-3 + 0)) + -5. Suppose -3*m - m = -v*u + 2, -m - 8 = -2*u. What is the greatest common divisor of 235 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/100)\/(2\/40). Is -5 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 12 - 16 + 5*v. Let f be n(3). Solve -25 + 35*w**2 - 60*w**3 - 26 + 51 - f*w = 0 for w.\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 38 = 42. Solve 5*c - 5*q = -35 - g, 4*q = -5*c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let n(h) = 5*h + 6. Let q(a) = 3*j(a) - n(a). Let m(x) = -7*x - 2. Suppose 0 = 9*z - 6*z + 9. Determine z*q(p) + 4*m(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, 5, 1\/5, 781?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10271 is divided by 239.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6426 + 2403327\/374. Let v(m) = -m**2 + 6*m - 9. Let l be v(3). Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70173.665 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71973 and 26946.\nAnswer: 215487162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 250*w**2 - w + 2*w + 432*w**2.\nAnswer: 682*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 195*n**2 + 15*n + 152. List the prime factors of z(-7).\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -592, -1196, -1812, -2446, -3104?\n\"Answer: -u**3 - 597*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(7\/4)\/(((i\/(i**27*i))\/i)\/(i*i*i\/((i*i**1)\/i))) assuming i is positive.\nAnswer: i**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 13, -39947, -4, 1 in ascending order.\nAnswer: -39947, -5, -4, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15007 + 14994. Put -3, 5, t, 3\/14, -3\/8 in descending order.\nAnswer: 5, 3\/14, -3\/8, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) 80\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234552 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53938\/123 or -440?\nAnswer: -53938\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112 - ((-6)\/4)\/((-4)\/8).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268 - -276. Let y be (-4)\/10 - 1844\/(-10). What is the greatest common factor of k and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 + 1\/9*f**2 + 1\/54*f**4 - f + 2\/27*f**3. Factor u(h).\nAnswer: 2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -16001.88.\nAnswer: -1440.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34\/7 + 158\/21. Factor 10\/3*v + 2\/3*v**3 - f*v**2 - 4\/3.\nAnswer: 2*(v - 2)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 - 5) + 0 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2538 and 73\/90.\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66\/875 - -37\/125. Let o be ((-16)\/(-26))\/4 - 4554\/6279. Let y = u + o. Which is the smallest value? (a) -2\/7 (b) 6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*q - 2*f - 444, -326 = 3*q + 5*f. Let o = q - -107. Let u(x) = 2*x. Give u(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1325326.\nAnswer: 1325326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 796 - 526. Let m be (324\/30)\/(-9)*-30. What is the remainder when 105 is divided by (0 - m\/10)\/((-54)\/u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*n - 132 + 132. Let z(x) = -2*x**2 + 5*x + 3. What is z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - -43) + -162 + 33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222088*n**3 + 95179*n**2 wrt n.\nAnswer: 1332528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10248 + 10?\nAnswer: 10258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.609 - 90.269. Let a = s + -1.34. Let t = -87.00000049 - a. Round t to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1031*m - 516*m - 517*m. Let i(d) = -8*d**2 + 11. What is i(v(f))?\nAnswer: -32*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifmmuofoowm. Give prob of picking 1 w, 1 f, and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 15 = 0. Let r = 391 + -376. Suppose -7*y - r = -4*y. Sort k, y, -2.\nAnswer: y, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4730?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**23)**(-30) assuming j is positive.\nAnswer: j**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201372053.\nAnswer: 43, 137, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 17. Let a(k) = 11. Let z(n) = -8*a(n) - 5*b(n). What is z(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17595896 take away 886506?\nAnswer: -18482402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 10*l**2 + 12*l + 2. Let z be o(2). Let j(n) = 11 + 6 - 4*n - 22*n. What are the prime factors of j(z)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7208411 or 7208412?\nAnswer: 7208411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 4*o, 5*o - 2*o + 10 = -2*m. Let t = -29659 - -29661. Calculate the lowest common multiple of t and (1 + o - 1) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a factor of 2296793101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 335278480?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*f - 20, -f - 3*f - 16 = 0. Is -25\/2 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:26 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + -2 + sqrt(833) + sqrt(833) - sqrt(833)) + -4 + sqrt(833) + sqrt(833))*-4 + 5)**2 + -5 + -3*(sqrt(833)*2 + -1) + -3.\nAnswer: -6538*sqrt(17) + 214084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 5, -4, 13, 239, -3.\nAnswer: -103, -4, -3, 5, 13, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119328*i**2 + 116798*i wrt i?\nAnswer: -238656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010210220221 - 12?\nAnswer: -1010210221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(36\/171)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/6*(-8)\/(-42). Sort r, 2, 4 in descending order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 2. Let c(l) = 2*l - 1. Let f(n) = -n**3 - 10*n**2 + 3. Let r be f(-10). Give r*v(x) - 4*c(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 + 23*z**2 + 23*z**2 - 2.\nAnswer: 18*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + -4*(sqrt(80) + (sqrt(80) + sqrt(80) + 1 + sqrt(80) + sqrt(80) - sqrt(80))) + (2 + sqrt(80) + 5 - (2 + sqrt(80))*5))**2.\nAnswer: 1600*sqrt(5) + 32100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:39 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553*41823.\nAnswer: 23128119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 4, w: 2, j: 4}. What is prob of sequence ee?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 55*d**2 + 727*d - 434. Calculate j(34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70, 77, 84?\n\"Answer: 7*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.177 (b) -1\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 99*u**2 - 12*u - 2. Let h be n(-3). Suppose 6*m - i + h = 9*m, -3*i - 1229 = -4*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/6 + 7*n**3\/6 + 5*n**2\/2 + 3*n\/2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 51312404 (base 6) to base 13\nAnswer: 3c6a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -804, -7, -0.5 in increasing order.\nAnswer: -804, -7, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 (base 10) in base 14?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 7*y - 9. Let g = 404 - 413. Determine a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 443*g - 174. Is 77 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.2297 - 22.3?\nAnswer: -105.5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.5, 4, 59\/4, -0.38, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -365, -550, -737?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 = -16. Calculate the remainder when 46 is divided by (-2)\/p + 196\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 8) in base 7?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3 - 3)*(1 + 3*l**2 - 1) - 2*l**3 - 6*l**3 + 4*l**3 to i*l**2 + p*l**3 + f*l + q and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b - 1\/2*b**2 + 4. Let x(r) = -r**3 + 6*r**2 - 5*r + 4. Let y be x(5). Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**2 + 8*v + 30. Let r(t) = -5*t**2 - 3*t - 10. Determine 8*r(c) + 3*y(c).\nAnswer: 2*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/116793 and -59\/142747.\nAnswer: 1284723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 325239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029301166 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -65, -76, -87, -98, -109?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - k + 0 - k + 0*k + 3*k + (1 - 3 + 1)*(k - 2*k + 0*k) + 4 - 75174*k + 75173*k + 17 in the form m + n*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x - 9. Let r(v) = v - 14. Let l be 24\/(-16)*(-4)\/1. Let p be r(l). Let h be a(p). Let w(m) = 4*m. Let t(s) = -6*s. What is h*w(o) + 5*t(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40512373*p**3 + 4115*p**2 + 461*p - 20.\nAnswer: -243074238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 2. Let u be m(7). Let y = u + 19. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77380 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 496? (a) 1 (b) -0.3 (c) 10 (d) -360 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g**2 + g - 3. Let p be 5 - 768\/(-7) - (-6)\/21. Let f = -118 + p. What is the hundreds digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/82158 and 31\/176.\nAnswer: 7229904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029944 to 4 dps.\nAnswer: -0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -12 + 18 - 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 54 = 15*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/59)\/h*h\/(h\/(h*h**(18\/5))) assuming h is positive.\nAnswer: h**(1367\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = 5*g, -12*s + 10*s = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70679*c**3 - 30352*c**3 + 67140*c**3.\nAnswer: 107467*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -1\/24*q**4 + 0*q**3 + 0 - 1\/120*q**6 + 0*q**5 - 3*q**2 + 0*q. What is the second derivative of c(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 2*r**2 + 2*r - 2. Let a = 69 - 16. What is the remainder when a is divided by z(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*v - 2573*n**3 - 505*v**4 with respect to v.\nAnswer: 2*n**3 - 2020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*n = 9, -x + 2 - 3 = -4*n. Suppose -2 - x = -p. Suppose -i + p + 5 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let k = -12 - -14. Suppose -4*t = 3*n - 6*n - 8, k*n = -4*t + 28. Give m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 11*d**3 + 3*d**3 + 127305*d + 75*d**4 - 18*d**3 - 127307*d in the form a*d**2 + n*d**4 + o*d + g + t*d**3 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**(-4\/9)*w\/(w*((w**(-2\/45)*w)\/w)\/w)*w**(-12) assuming w is positive.\nAnswer: w**(-533\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404276 (base 10) in base 2?\nAnswer: 101010110110101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*-1*sqrt(99)*4*-2)\/((2*sqrt(90))\/sqrt(10) + (sqrt(9)*-3 + sqrt(9))*-5))**2.\nAnswer: -880\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235440864 or -235440865?\nAnswer: -235440864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 67*d = 0. Suppose 3*r + 4*u - 8 = -59, -2*u + 6 = d. Let a be r\/(-6)*24\/42. Solve 2*f = 3*z - a + 3, -z + 18 = 3*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(847) + 1 + -2*sqrt(847) + sqrt(847) - sqrt(847))**2 + (3 + -2 + sqrt(847))**2.\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8680 divided by 27.\nAnswer: -8680\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + n + n)*(n**2 - 2*n + 2*n)*(478 - 408 - 235).\nAnswer: 330*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 17. Let j(l) = -4*l + 52. Let b(t) = -2*j(t) + 7*p(t). Calculate b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 5*r)*(2*r**3 + 2*r**3 - 2*r**3) + 22*r**4 + 69*r - 69*r - r**2 + r**2 - 4*r**4.\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = -3*x, -18 = -2*x + 5*y - 3. Let q = -2.27 + 2.17. What is the closest to x in q, 0, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - h + 10, -110*r + 109*r - 18 = -4*h. Put 4, 6, r in ascending order.\nAnswer: r, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 - 2*t + 10. Let r be i(4). What is the derivative of -9*s + 13 - 2 - r + 4 wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -37. Let n = -4 - -1. Calculate the remainder when x is divided by n*((-28)\/6 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1 + 2 + 5. Suppose -2*d + 12 + 13 = -i*f, 0 = 3*d + 4*f + 20. Solve -3*p + 40 = -2*x + 7*x, d = 2*x + p - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -3, 124 in decreasing order.\nAnswer: 124, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 27 = 2*m. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 4. Let p(o) = o. Determine -g(x) + 4*p(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-16))\/((5\/3)\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n + 16. Let d be r(9). Calculate the highest common factor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12 (b) -7 (c) -0.1274 (d) 0.3 (e) -4 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358790?\nAnswer: 2, 3, 5, 45293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v + 3. Let c be n(4). Suppose 2*b - 26 - 6 = 0. Sort b, c, 0.\nAnswer: c, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3246616, 6493252, 9739888, 12986524, 16233160?\nAnswer: 19479796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*l, -4*w = -0*l + 4*l - 16. Let h(o) = 0*o - 4 + w*o + 3*o + o. Let x be h(2). What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42.99473, 2\/7, 5?\nAnswer: -42.99473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 107 + -112 - 7\/(3 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + b - 3*b)*(3*b + 2*b - 3*b) - 16*b**2 + 44*b**2 + 16*b**2 in the form m + k*b**2 + s*b and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 11 = -8*h + 5*f, 2*h + 22 - 6 = -8*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, 2, 0 in descending order.\nAnswer: 3, 2, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138619\/16 - 8669. Find the common denominator of 93\/4 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161710397 to the nearest one million.\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = -3*k - 13. Let c = k - -70. Let b(p) = 1 - 2 + 3*p - c*p. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 14. Let d(z) = -4*z + 4. Let u be d(4). List the prime factors of m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5106*p - 6*b - 7*b + 76 = -5101*p - 10*b, 0 = 5*p - 6*b + 167 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 428.712 + 2.088. Let p = l + -431. What is the smallest value in 4\/7, p, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from fffuufbmbbmfuuf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1222\/104 - 12 - 3\/(12\/79).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:11 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 208563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4391*a + 96487. Determine o(22).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1133513.8 to the nearest one thousand.\nAnswer: -1134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3*m + 3. Suppose 3*y + 3*q = -6, 5*y - 4*q + 0*q = -37. Let r = 1 + y. List the prime factors of g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 take away -1904?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, 62, 147, 232?\n\"Answer: 85*q - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:53 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.808666 decades?\nAnswer: 0.6808666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Let v(f) = -i - 1 - 3*f + 2 - 9*f**2 - f**3. Is 20 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1151874 + -0.1.\nAnswer: 1151873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -504, -1164, -2094, -3294?\n\"Answer: -135*j**2 + 15*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:58 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131161100 + 0.5?\nAnswer: 131161100.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f*h*m - f*m + 36*f + 3*h*m + 59*h + 2*m wrt f?\nAnswer: 4*h*m - m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30403*z - 60783*z + 30373*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*q - 2340 = 7*q - 2*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 71. Let u = o - 43. Sort u, 15, -4 in increasing order.\nAnswer: u, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1511, 1\/4, -1, 0.04, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 78. Let c(x) = 119 - 235 - 32*x + n. Let s(l) = 2*l. Give c(s(r)).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 18. Suppose -f - x = -70. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3572 divide 785487105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, 55, 60, 65, 70, 75?\n\"Answer: 5*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -23*u**2 + 298*u - 4. What is x(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-7))\/((-1052898)\/57134).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 21, 76, 165, 294, 469?\n\"Answer: o**3 + 8*o**2 - 4*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1104, -5\/6, -23?\nAnswer: -1104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/406 and ((-3222)\/144 + 22)\/(15\/118)?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68728 greater than or equal to 68575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290.98 + -291. What is the nearest to 1\/3 in y, -1, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let t = 9531.1 - 9531. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/(-56) + 21\/(-98).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q - 2. Let h be v(7). Let p(k) = k**3 - 2*k**2 - 4*k - 6. Is p(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 12, -30, -2 in descending order.\nAnswer: 12, 5, -1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626356.\nAnswer: 2, 156589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 2*sqrt(18)*1)\/(sqrt(9) - (sqrt(9) - (sqrt(90)\/sqrt(360) - sqrt(9)))).\nAnswer: -18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*r + 79*r - 36*r**3 + (2*r + 0*r - 4*r)*(57*r**2 - 2778*r + 2778*r) + 0*r**2 + 0*r**2 + r**3 in the form m*r**2 + c + s*r + v*r**3 and give v.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 6. Let v(h) = -1. Let g(s) = -2*s**2 + 18*s + 6. Let k be g(9). Calculate k*v(x) + l(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/174 - -79\/290. Let t(c) = c**3 + 4*c**2 - c - 4. Let g be t(-4). Is g greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33495526567\/66 - 507497888. Let q = m - 10090. Let y = 1\/22 + q. Which is smaller: 8\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-24)\/(c**(-1\/2))**(-2\/3))\/((c**(1\/3))**(-2\/11)\/((c*c\/(c\/(c*c**7\/c*c)*c))\/c**(1\/3))) assuming c is positive.\nAnswer: c**(1036\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b = 0. Suppose -4*i + i - 3 = 0. Is b less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.303 - -4.303. Let w = 3 - 2.6. Let o = n - w. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 162.56?\nAnswer: 162.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 - (-19 - -7 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -23*p - 2 + 326*p - 1085*p**2 + 811*p**2. Let z(l) = -136*l**2 + 151*l - 1. Let f(x) = -4*k(x) + 9*z(x). Find the second derivative of f(v) wrt v.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncqqa. Give prob of picking 1 n and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 548 - 549. Suppose -t + y - 1 = 0, -t + 7 = 4*t - 2*y. Which is the second biggest value? (a) d (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5\/3 + 34292*d**4\/3 - 24561544*d**3 + 268966632*d**2 - 366230988*d - 659770596 = 0.\nAnswer: -1, 3, 9, 4281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 + 30*v - 14*v + (0*v + 0*v - v)*(-5*v + 2*v + 2*v) + 0*v**2 - 3*v**2 - 3*v**2.\nAnswer: -7*v**2 + 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**3 - 44*l**2 + 26*l + 7. Determine g(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 2 v when four letters picked without replacement from rrrxorvvvr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.39 - 0.17. Let o = -0.29 - q. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.1 in -0.23, -2, 1\/185, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 95695 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 4)*4\/8. Differentiate -1 - 6*v**r + 6*v**2 + 4*v**4 with respect to v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/1 - (7 - 2). What is the highest common factor of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*x = -72, -9*x = 581 - 455 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) 0.4 (c) 1.8 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 16*v**2 + 16*v - 9. Let s be 156\/10 - (-6)\/(-10). Let c be o(s). Solve -t = -4*t - c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose 2*t = f*t - 30. Suppose -5*r + 4*y + t = 7*y, 0 = -r + 4*y + 25. Which is the closest to r? (a) 0.5 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14534 and 258.\nAnswer: 43602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 86. Determine o(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h + 35*h - 52*h + 43*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 9*f**2 + 10*f. Let p(o) = -o**2 - 4*o - 4. Let c = -53 - -51. Let v be p(c). Suppose v = s - 9*s - 80. What is w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h + 167*h - 606 + 604.\nAnswer: 138*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/90 - g**5\/120 - 32*g**3\/3 - 5*g**2\/2 + 36. Let z(n) be the third derivative of i(n). Calculate z(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15524143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:10 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162024*n + 162024*n - 61*n**2.\nAnswer: -61*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 393742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 11, -3, -17, -31, -45?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/192*-147 - -13)\/((-6)\/(-1136)). Let n = -7 + 4. Put k, -2, n in decreasing order.\nAnswer: k, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433840 greater than 433853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2849*q - 183452. What is j(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*k - 80*k + 386 + 688 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3 + 3)*(3*t**3 - 4*t**3 - t**3) - 15*t**4 + 41*t**4 + 9*t**4 + 3*t**4 + 0 + 0 + t**4 + 3*t**4 - 3*t**4.\nAnswer: 43*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -489e - 3?\nAnswer: -48a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Calculate the least common multiple of f and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-2025)\/20))\/((-4)\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 277, 1141, 2585, 4609, 7213, 10397, 14161?\n\"Answer: 290*b**2 - 6*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65466530 - 5?\nAnswer: 65466522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 + 4*g + 2. Let n = 113 + -116. Let s be u(n). Let d be s\/(-1)*(15\/10 + -2). Solve -d*j + 6*j - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7))**2 + 0 - (sqrt(70)\/sqrt(5) - sqrt(14))\/sqrt(2).\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 2:02 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(418)*1)\/sqrt(11))\/(sqrt(22)\/(1*sqrt(1584))) + -3)**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -2 - (-1)\/(-1). Suppose x*k = k + 20. Let m = 17 - k. Solve 8*o + 2*d = 3*o + 1, -m = -5*o - 4*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -26. Let p(t) be the second derivative of 0 - 1\/12*t**3 - 2*t + 1\/24*t**4 + m*t**2. Solve p(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88590959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 2*p - 352 = 0, 5 = p. Let w = i - -48. Which is bigger: -65 or w?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.431466ns in minutes?\nAnswer: 0.0000000004071911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3756 + -1690. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(4)*1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47350 + -24950. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from {e: 9, s: 1, u: 2, r: 4, m: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21089773*s**5 + 2*s**2 + 66*s - 89425 wrt s?\nAnswer: 1265386380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(16929\/(-3366))*1\/2*3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-14)*1057\/(-302)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*((1*-1*sqrt(84))\/(sqrt(12) + 1*sqrt(48)) + (1*sqrt(84)*6 + sqrt(84))\/((sqrt(24)*1)\/sqrt(2)))*-2.\nAnswer: -800*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.37 + 3.63. Let d(a) = -a**2 - 5*a + 3. Let t be d(-4). Let n be t\/2 - (-6)\/(-12). What is the biggest value in 1\/4, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51544074 = 51544076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10861316.\nAnswer: 2, 2715329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5562078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - -10 - (-26 - 1). Let c = -16 + n. Let k = -9 + c. Solve 3*u + 3*i = -9, -k*i + 0 = -5*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i = 5*p - 71, -5*p = i - 59. What is the greatest common factor of p and 2353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -46*b**2 - 2027*b - 130. Let a be x(-44). Let r = -6 + 10. Sort a, r, 26 in decreasing order.\nAnswer: 26, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -14*a + 19*a. Let l be ((-26)\/a - -5)*6\/2. Solve l + 2 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003501875 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4324 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 45 = 17*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9388*u**3*v**2 - 4*u**3 + 738*u**2*v**3 - 2861739*u**2 with respect to v.\nAnswer: 18776*u**3*v + 2214*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124585443*g**2 + 332484352?\nAnswer: 249170886*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3*u - 8. Let i be s(-7). Suppose -i = -2*j + q, j - 1 = -q + 12. Suppose 0 = 2*p - j*p + 612. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 105 = -7*r. Suppose 4*i - r = i. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055322 to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 - (5 + -3). Suppose 0*b = b + 5. Sort g, 5, b in descending order.\nAnswer: 5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27591.\nAnswer: 3, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48391602 to the power of 1\/2, to the nearest integer?\nAnswer: 6956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -8*b + 26 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 17*h**2 - 20*h - 64. What is k(-17)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Let v(c) be the second derivative of 11*c**5\/60 - 48*c**2 - 8*c. Let q(i) be the first derivative of v(i). Give q(l(u)).\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 341?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2. Let s(t) = -5*t - 76. Let q be s(-16). Suppose 9*i - 5 = 8*i. Let x(v) = -i*v - q*v - 2*v. Determine x(p(g)).\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816521892 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - g + 3*g)*(3*g - 6*g + g) + (5 - 1 - 3)*(-3*g**2 - 9*g**2 - 2*g**2).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**3\/3 - 11*j**2\/2 + 2*j + 5. Let o be u(7). Suppose 0 = -22*t + o*t - 16. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 15*r + 8. Let f be y(12). What is the lowest common multiple of (-2 - -11)*(f\/(-6) + 0) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7)\/(-7) + (8 - 22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-345000)\/((-10520)\/2624 - -4). Suppose 248*r = 252*r + y. What is r rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 85 = -5*w + 10*w, -2*a - 2*w - 46 = -24 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 114*r + 10480. Calculate y(-77).\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 28*s - 1 + 7 + 3*s + 27*s to the form x*s + c and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:37 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 502 = -2*z, 9*f - z = 5*f + 399. Let a = f - 4. Calculate the highest common divisor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73\/24 + -1\/3. Calculate the common denominator of -79\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(1053))*-4 + -4*(-4 + (sqrt(1053)*1 - sqrt(1053)) - sqrt(1053)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3 + 0*l**2 + l**2 + 0*l**2. Let z(v) be the first derivative of 2*v**3\/3 + 1. Determine z(k(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.67 - 6.37. Sort i, -38\/5, -0.2 in increasing order.\nAnswer: -38\/5, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(34\/(-10))\/(-1). Is 0.1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/17 + 4*t**4\/17 - 10*t**3\/17 - 12*t**2\/17 = 0. What is t?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 3*x - 5*x**2 + 2 + x**3 - 3*x**3. Let q be u(5). Let i be (-224)\/(-392) + 2134\/14. Calculate the greatest common factor of i and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 + 5*h**3\/3 + 2*h**2 + 6*h. Let u be n(-10). Suppose 0 = u*q - 8*q + 20. Solve -3*x - q = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1206712 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -1 - (3 + (-36)\/9). What is the remainder when 139 is divided by (-212)\/(-6) + n\/(90\/12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 2*u + 14, 5*o - 6 = -3*u. Suppose 4*p - o - 5 = 0. Let s(y) = -7*y**p + 8*y**2 + 2*y**2. Let v(f) = 2*f**2. Determine s(v(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23403 and 1614?\nAnswer: 46806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**2 + 7*p. Suppose -23 = 4*d - 3. Let b(s) be the first derivative of 7*s**3\/3 + 5*s**2\/2 - 1. Give d*g(k) + 7*b(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, j: 7}. What is prob of picking 3 j and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2706 by 6.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 7 - 9 - 2*t**2 - 19*t**2 wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1257 divided by 2.\nAnswer: -1257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -17\/3184?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -61660 equal to -61660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u - 9*u + 5*u - 19*z - 45, -5*u = z - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let l = u - 0.2. Let h be (54\/81)\/(8\/(-6)). Which is the second biggest value? (a) 5 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623 - 253 + 75*w - 621.\nAnswer: 75*w - 1497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 217199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*4\/(-2)*(-17)\/(14365\/(-13)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from {l: 6, b: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 586, 2329, 5232, 9295, 14518, 20901?\n\"Answer: 580*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 9432. Let m(o) = -o**2. Calculate a(m(i)).\nAnswer: -i**4 + 9432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328 + 2297\/7. Which is the third biggest value? (a) -1 (b) v (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 17*a + 5. Let d be c(-4). Which is smaller: 2\/115 or d?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179430 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1156\/391)\/34*1311\/(-114)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -118 in increasing order.\nAnswer: -118, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 30749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -844.3825 rounded to the nearest ten?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 291*k - 3. Let y(u) = -290*u + 3. Let q(i) = 4*y(i) + 5*z(i). Suppose -s + 18 + 0 = -4*j, 4*s - 2*j - 16 = 0. Is q(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*s + 481, -s + 2 = -2*s. Find the common denominator of (-1)\/(-3) + t\/15 and (1\/5)\/(32\/(-1824)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 14*z**2 + 14*z - 11. Let l be n(13). Sort -3, l, -2 in decreasing order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuubuuuuuubbuuu. What is prob of picking 2 u and 1 b?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10279\/2 or 5139?\nAnswer: 5139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*z + 3*z - 2 - 4*z to s*z + y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 228221065 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5483135?\nAnswer: 5, 7, 41, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)*v\/(v**(-23)\/v))**(-1\/16))**23 assuming v is positive.\nAnswer: v**(-5221\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3414 and -315.\nAnswer: 1075410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19522*p**6 + 287*p**2 - 3*p + 8?\nAnswer: 2342640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97041689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 2*a**3 + 4*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*j - 3*j + 16, -10 = -p + 2*j. What is u in -12*u - 120*u**p + 0*u - 1 + 170*u**2 - 86*u**2 = 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*a - 24 - 15, -2*j = -a - 6*j - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4783086 grams to tonnes.\nAnswer: 0.0000004783086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let c(w) be the second derivative of 11*w**4\/12 + 14*w - 2. What is c(j(f))?\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 36*a**3 + 2*a**2 + a - 2. Let w be y(2). Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360055, -720062, -1080057, -1440034, -1799987?\nAnswer: -2159910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12493, 49802, 111917, 198820, 310493, 446918?\nAnswer: 608077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43\/60 + 1\/20. Let l = -4.3 - -4. Suppose -25*r + 21*r - 8 = 0. What is the nearest to -1\/2 in l, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 88 = -5*l. Is 1*5*(l + -9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + (sqrt(125) - (sqrt(125) - (-1 + sqrt(125)))) - sqrt(125)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) -0.5 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -11788*z**5\/3 + 103153*z**4\/3 + 58870*z**3\/3 - 309475*z**2\/3 + 53116*z - 36 = 0.\nAnswer: -2, 2\/2947, 3\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1348.1 + 1243. Let p = -10.1 + 106.1. Let c = j + p. Round c to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -2\/7 (c) -1 (d) 818\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 6. Let a be l(-6). Suppose j + 5*g - 29 = a, -4*j - 3*g = -0*g - 82. Suppose -68 + 13 = -s. Calculate the remainder when s is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8995*s. Let m be b(-5). Suppose -5*c = -3*n - 75015, c = -2*c - 5*n + m. Round c to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4887)\/181 - (-1 - 13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k - 5 + 5.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (40\/15)\/((-4)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*b**4 + 236312*b**3 - 6*b + 8270821.\nAnswer: -576*b**2 + 1417872*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25007\/1817 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -6. Let w = m + 60. Let g = 1653 + -1650. Calculate the highest common divisor of g and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200634 divided by 34?\nAnswer: -5901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -1079648\nAnswer: 9\/1079648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(18))\/sqrt(6))**2 + sqrt(12) + -5 + (-3 + sqrt(3) + -1 + sqrt(3)*-1*-2)**2.\nAnswer: -22*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -m + 5*a, 0*m + a = 3*m - 155. Suppose -2*z - m = -5*z. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 90 + 45 = 0, 4*s + 31 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 14 + 0 + 2 + -5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -9, -4, 118 in increasing order.\nAnswer: -35, -9, -4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 129027*p**4 + 2192538*p**3 + 2321568*p**2 = 0 for p.\nAnswer: -1, 0, 18, 42992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16359*a + 16301*a = 32472*a + 188 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -222*h + 85. List the prime factors of k(-4).\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 30. Let a(k) = 10*k**2 + 3. Give a(d(r)).\nAnswer: 40*r**4 + 1200*r**2 + 9003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 68.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*s**3 - 298*s**3 + 603*s**3)*(-5*s + 0*s + 3*s).\nAnswer: -1246*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022853 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 at least as big as -456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (1344\/77 + -11). Which is the fifth biggest value? (a) 2\/17 (b) t (c) -3 (d) -2\/3 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8))**(-6\/19)*(i*i**(2\/45))\/(i*i\/(i\/(i**(-1\/15)*i))) assuming i is positive.\nAnswer: i**(280\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/10*4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -601 - -601. Let f(u) be the third derivative of 0*u + 1\/16*u**4 + 11*u**2 + 1\/6*u**3 + 1\/120*u**5 + d. Factor f(i).\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 578529564 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*d + 975 + 462 = 79 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226295 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -22*i**2 - 17 - 24 + 10*i - 8*i + i**3. Let l be q(22). Suppose -l*d + y + 461 + 3 = 0, 5*d = 4*y + 778. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.762 in -3, 67, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x**4 - 5*x**3 + 12. Let m(a) = -57*a**4 + 21*a**3 - 48. Let v(g) = 5*m(g) + 21*r(g). Differentiate v(o) with respect to o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3386377*x = k - 3386381*x + 10, -2*x = -4*k - 26 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suot when four letters picked without replacement from stfouofbusuf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4578 and 585.\nAnswer: 892710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -89. Suppose -4*d + 4*b = -d - 10, b = -2*d + j. Let m = -2.972 + -0.028. What is the closest to 2 in d, -2, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24425161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i. Let m(o) = -10*o**2 + 3. Let q(x) = -50*x**2 + 14. Let y(b) = 14*m(b) - 3*q(b). Give k(y(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/76 - (105\/(-95) - -1). Let t(a) = 2*a**2 + 3*a - 1. Let w(g) = -g**2 + 1. What is p*t(v) - 3*w(v)?\nAnswer: v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 25*i + 2*i - 7 - 1 + 8. Let n(a) = -16*a. Determine n(q(p)).\nAnswer: -432*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w**(-3))\/(w**(-2\/3))**(7\/8) assuming w is positive.\nAnswer: w**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 0.06, -3 in decreasing order.\nAnswer: 0.1, 0.06, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1883, -5?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*a = -85, 4*i + 2183198 = 7*a + 2183219 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 6*t - 2 + 5*t + 2*t**3)*(-2*t - 1 + 1)*(-6 - 9 - 17).\nAnswer: -64*t**4 - 64*t**2 - 128*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*y + 108, y + 79 = 3*a + 3. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2811874 is divided by 528?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96265109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(1008) + 0 + 3)**2 + (sqrt(1008)*-2*4 - sqrt(1008))**2)*-4.\nAnswer: -1653300 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -39*i - 23. Let b(c) be the second derivative of 79*c**3\/6 + 45*c**2\/2 + 55*c. Let d(p) = 4*b(p) + 7*t(p). Differentiate d(z) wrt z.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a factor of 905940773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -d + 397, 2*d - 806 = 3*u + u. Suppose 5*f - d = 2*f. Suppose 91 = 5*c + 2*v - 4*v, 2*c = 2*v + 34. What is the highest common factor of c and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -83*j**7\/21 - 3*j**4 - j**2\/2 + 144*j. What is the third derivative of v(z) wrt z?\nAnswer: -9960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228) + sqrt(228))*-6 + sqrt(228) + sqrt(228) + (sqrt(228) - (sqrt(228) + -3*sqrt(228)*2)))\/(1*sqrt(768)*2)*-2.\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300101 (base 4) to base 5.\nAnswer: -44324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32964026 divided by -5?\nAnswer: -32964026\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14037 is divided by 586?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922*y**3 + 4610*y**3 - 2121*y**3.\nAnswer: 567*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/6, -2\/29, -147, 10, 2.\nAnswer: -147, -0.4, -1\/6, -2\/29, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 21*q**2 - 86*q - 13. Let x be k(6). Which is smaller: x or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*v + 3236 - 14476 = 10503 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 99*g**2 - 46*g - 50. Calculate z(49).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3566 + 240*j - 3566)*(2*j - 2*j**2 - 2*j) + 1 - 2 - 2*j**3 + 3 in the form y*j**2 + x*j**3 + d*j + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.105136 + 217091.894864. Let j = 217092.280013 - u. Let z = -0.28 + j. 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: What is the tens digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2*b - 2. Let o be m(-4). Let n(y) = -6*y + y + 6*y - 5. Let w be n(o). Put w, 2\/15, -3 in decreasing order.\nAnswer: w, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -338 or -341?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f - 7*f + f - 10*f - 10 wrt f?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaavaaaaaaaaavaa.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 3218*a**2 + a**4 + 3 - a**4 - 2*a**3 - 3223*a**2 - 130*a to the form q*a**2 + y*a**3 + n + j*a + k*a**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 4*y**3 - y**3)*(-4 + 4 - 3*y)*(-5 + 5 - 6).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-310)*(-645)\/(-6))\/((-1)\/4)*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 28*g**2 + 5*g - 72. Determine c(28).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.818166cm?\nAnswer: 18.18166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*((-8)\/(-18))\/((-4)\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 25 = 0. Let n = 0.22 - 0.42. Sort n, 4, z in ascending order.\nAnswer: n, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/((n\/(n**(-23)\/n))\/n))\/n))**(1\/10)\/(n**(2\/17))**(7\/2) assuming n is positive.\nAnswer: n**(169\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 10*y + 3*y - 3)*(13*y**2 - 127 + 127) as k + t*y**2 + v*y + o*y**3 and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 17 - 1852*a + 1848*a.\nAnswer: -4*a - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 2604?\nAnswer: 59892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*u**6 - 121*m*u**5 - 66*m*u + u**2 wrt u?\nAnswer: -120*m*u**3 - 7260*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i - 95. Let j = 11672 - 11686. Give d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1333 + 1333.08. Which is smaller: h or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/9)\/(261\/522)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120649137.\nAnswer: 40499, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 759\/2 + -380. Is q not equal to -0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/17 + 4890*p**4 + 863949300*p**3\/17 + 2591349140*p**2\/17 + 2591182890*p\/17 + 863699922\/17 = 0. Calculate p.\nAnswer: -20781, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {c: 1, n: 5, a: 8, s: 2, o: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0119969475 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*h + 2127 = 1949, i + 106 = -10*h for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqqxxqqqq. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from xxoxhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1668*i + 1747*i + 2212 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 9*x + 1. Let s be (0 - -1)\/(7\/(-49)). Let u be y(s). Suppose 3*v - 4 = 2, -w + u = 4*v. What is the least common multiple of 4 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 519*k - 509*k + 3*q + 391, 3*k + 3*q = -111 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 40, 49, 58, 67, 76?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*m + 1080, -4*l = -3*l + 4. Let b = 37263\/6655 - -1\/1331. Calculate the common denominator of m\/20*(-10)\/12 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 280, -0.1, -2\/175, 237?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5507845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -13 + (4 - (2 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 less than or equal to 34.700932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * -811.55.\nAnswer: 137.9635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -13, -1\/1050, -11, 1 in ascending order.\nAnswer: -13, -11, -1\/1050, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2 - h**2 - h - 1 + 2*h**2 + 3*h**2. Let p be j(1). Suppose 829*g + 5*r - 42 = 826*g, 28 = 2*g + 2*r. Solve -3*f + g = a, f - p*f = 5*a - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 6\/7, 0.05, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 6. Let s be (-95)\/(-30) - (-20)\/24. Let p(x) = -x. Let q(n) = 7*n + 7*n + 4*n + 17. Let o(i) = 4*p(i) + q(i). Determine s*o(w) - 11*l(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (18\/6)\/((-6)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 4*m**2 + m - 2. Let n be y(4). Suppose -10 = n*q, 5*u + 4*q = -1084 - 1686. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 - (-7)\/(-2). Let g = u - 1. Let q be 18 + 22\/(-2)*2. Put 11, q, g in decreasing order.\nAnswer: 11, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**4 + 20*p**3 - 30*p**2 + 14*p + 2. Let o(r) = r**4 - 20*r**3 + 29*r**2 - 13*r - 3. Let g(c) = 3*b(c) + 2*o(c). Factor g(m).\nAnswer: -4*m*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 41 in decreasing order.\nAnswer: 41, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 2 - 177*f + 113*f + 3.\nAnswer: 10*f**3 - 64*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2106 - 1073. Suppose 140*w - 132*w + 4408 = 0. Let s = w + l. Round s to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - y + 794 = -0*y, 3*k + y + 784 = 0. Let t = k - -1844\/7. What is the third smallest value in 1, -4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -0.5 (c) 1\/12 (d) -85 (e) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*w + 40 - 16 = 0, -2*w = 6. Let r be 1\/i + 403\/(-52). Let y be (4 + 36\/r)*0*-1. Which is bigger: -7\/8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1264 and -91\/8.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 191580 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 1 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o + 21*o + 13*o**2)*(-6*o**3 - 2 + 3*o**3 + 0).\nAnswer: -39*o**5 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4218910402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/5 - 4*q**4\/5 + 2*q**3 + 12*q**2\/5 = 0. What is q?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592.4 + -592. Which is the nearest to 0.1? (a) 0.1 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2 (c) 60 (d) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -294784.\nAnswer: -1\/42112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/20160 + b**7\/2520 - b**6\/720 - b**5\/30 + 4*b**2. Let c(l) be the third derivative of g(l). Give c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 205. Let q(u) = u + 372. Calculate q(g(c)).\nAnswer: 2*c**2 + 577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from ppppppppppppppppbpp.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 301. List the prime factors of s.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21688757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225\/1298 - -1\/118. What is the nearest to -1 in w, 0.4, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1015*z + 15821. Determine v(-16).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1418, 4148, 8684, 15020, 23150, 33068, 44768, 58244?\nAnswer: 73490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.40816 less than 3686859?\nAnswer: 3686888.40816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17.547, -2\/3225, -5?\nAnswer: 17.547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(1*3\/90). Let q = 82 - 89. Let s = v - q. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*o + 31 = 0, -201*o + 41 = -u - 206*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12765 - -957077.\nAnswer: 944312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -508*f**3 - 17*f**2 + 11*f. Let u(x) = -170*x**3 - 6*x**2 + 4*x. What is 6*a(l) - 17*u(l)?\nAnswer: -158*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4 + 0)*-8. Suppose 5*n - m = n. Suppose -4*i - 106 = -2*x - n*i, 2*i = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((5 - (27 - -2)) + 1 + 10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/(4\/6). Suppose -3*c = -w*c. Let n = 80\/231 + -2\/7. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9658892 millilitres?\nAnswer: 0.0009658892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -723523+0.1\nAnswer: -723522.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7732 is divided by 76.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/1144 and -157\/19656?\nAnswer: 216216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - 3*z**2)*((-35 + 20*z**2 + 35 + (1 - 1 - 2*z)*(-z - 2*z + 2*z))*(-2 + 2 - 7) + 1 - 1 - 2*z**2) + 2*z**4 - 4*z**4 + 0*z**4.\nAnswer: 154*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-26)\/(-221))\/((-1896)\/(-612))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 69138 - 69136 + 207412 - 69138.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -2\/11, 30122, 4, -0.2, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 52\/(-16))*144\/378\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2256 + 2301. What is the least common multiple of 165 and r?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.76 + 10.46. Let p = 13.7 - y. What is the third biggest value in -0.02, p, 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42512\/112 + (-6)\/(-14). Let u = r + -205. What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500792 divided by 4244\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*k + 5 = 0, -3*k + 1041 - 1056 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 24 + 2*p + 6*p - 11*p. Let z be q(0). Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6789000 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/15 + 19*v**5\/30 + 145*v**4\/8 - 269*v**2. What is the second derivative of j(f) wrt f?\nAnswer: -48*f + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01506 - 0.00694. Which is the closest to 1? (a) 4 (b) -3\/2 (c) v (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zokosssmmsosssssss. Give prob of picking 1 k and 1 m.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllfffwffdlwffdllll. What is prob of picking 1 f and 2 l?\nAnswer: 196\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -95*g**5\/3 + 14374*g**4\/3 + 13309*g**3 - 76258*g**2\/3 - 185548*g\/3 + 6776 = 0?\nAnswer: -3, -2, 2\/19, 11\/5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36496 and 1088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c*c*c**(-3\/7))\/((c\/c**(2\/5))\/c)**28 assuming c is positive.\nAnswer: c**(2647\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 53 + 11 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*d**2 - 253*d**5 - 238*d**5 + 489*d**5)*(0 + 5 - 3).\nAnswer: -4*d**5 - 346*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 1. Let a(p) = 11*p**2 + 4*p. Calculate -a(h) + 2*j(h).\nAnswer: -11*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from kxdxjqqaxaa?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 97*w - 121. List the prime factors of t(8).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00427 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -2 + -3 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65435.9ml to litres.\nAnswer: 65.4359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.39 + -6.39. Is k at most as big as -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - h**2 + h**2 - 6*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from qqvqvvvvgqvqqq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + q + 12 = 0, -n + 52 = 4*n - 3*q. Suppose 0 = 2*t + n*t - 50. Calculate the lowest common multiple of t and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/6 + 7*a**3\/9 + a**2\/2 - 100. Solve c(s) = 0 for s.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/(-115)*(1 + (-72)\/32)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001712 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.49194 to one decimal place.\nAnswer: -206.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1006456192 and 6888.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97498368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -5 + 5 + sqrt(34)\/sqrt(2)))**2 + -1.\nAnswer: 32*sqrt(17) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/12))\/d*d*(d\/(d*d\/d**(-14)))\/d assuming d is positive.\nAnswer: d**(-181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24123978 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*15\/24*18. Suppose 0 = -5*f - 0*f - 2*m + 64, 10 = 5*m. Let c = f + y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6308*a - 7770 - 522102 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3 - 2\/3*o**6 + 0*o + o**2 + 3 + 1\/2*o**4 - 6\/5*o**5. Determine v, given that y(v) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072973 is divided by 357656.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + k + 2*k + 2*k - 26. Let l = 8 + 2. What is the lowest common multiple of d(9) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12232 - 2?\nAnswer: 12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:25 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let h(z) = z**3 - z**2 - z - 1. What is the units digit of h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27386.41 kilograms in milligrams?\nAnswer: 27386410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3067274 + 1?\nAnswer: 3067275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65046, 130046, 195046, 260046, 325046?\n\"Answer: 65000*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 53*a**3 + 30375*a - 104*a**3 + 30382*a - 60757*a.\nAnswer: -155*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39143*b*x**4 + 14*b*x**2 + 3169*b*x wrt x.\nAnswer: 939432*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s - 6. List the prime factors of 13\/3 + s\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 5142, 1, 0, -5 in ascending order.\nAnswer: -16, -5, -4, 0, 1, 5142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 + 65314*j**3 + 653284*j**2 + 1829304*j + 1568016 = 0. Calculate j.\nAnswer: -6, -2, 32667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 4*y**3 + 6*y**3 - 177*y**2 - 4*y**3 + 7*y**3 - 12*y**3 in the form z*y**3 + n*y**2 + r + a*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*h + 30 = 0, -4*k + 3*h = -k. Let c be k\/(558\/1005 - (-9)\/(-15)). Is 68 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.07089247.\nAnswer: 0.014178494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(-2 + 2 - 5*m) + 4*m - 11*m - 3*m - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, -7, -35, 4, -43 in ascending order.\nAnswer: -43, -35, -7, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-1 + 4\/2). Suppose 8*p + 12 = 11*p. Suppose 0 = -5*g + 3*s - 2, -p*g - 8 = -l*g - 3*s. Solve -w = -g*b - 1, -w + 2*b = -b - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z - 5*v = -10, 2*z - 3*v = -25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d. Let u(w) = -9*w. Determine 5*n(k) - 8*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 2, a: 1, n: 1, r: 2, b: 1}. What is prob of picking 1 b and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90486*q**5 - 30*q**2 + 1883831*q wrt q?\nAnswer: 1809720*q**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n. Let p = 1 + n. What is the remainder when p - -24 - (-2)\/2 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3599 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*j - 6 - 10, 5*m - 36 = j for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let u be 3\/2*(-32)\/i. Suppose -2*t = 5*l - 8, 5*l + 5*t - u = t. Which is smaller: -1\/8 or l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -1, 210, 527, 962?\n\"Answer: 2*i**3 + 35*i**2 - 2*i - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/(3\/(-21)). Let a be (-126)\/4 - x\/(-4). Let g = -16 - a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*l - 2*l. Suppose 3*b + 5*s - 12 = 0, -l*b + 0*s - 6 = -s. Is -2\/17 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(2*v + 13*v - 2*v).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*z**2 + 47*z**2 + 49*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7004, 2 in descending order.\nAnswer: 7004, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etteutttteettuttee. Give prob of picking 2 e and 2 t.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22*-0.130528\nAnswer: 2.871616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 186, -5, 4, -47, 0 in decreasing order.\nAnswer: 186, 4, 0, -2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/9)\/s**(-2))**(1\/23)\/(s**(-3)*s*s**(1\/4)*s**(1\/2)\/s**(-2\/3)) assuming s is positive.\nAnswer: s**(559\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3114 - 6222 + 3105 + 335*m - 50*m.\nAnswer: 285*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -5*d**4\/24 - 3*d**3\/2 - d**2. What is the remainder when 7\/((-25)\/(11750\/1340) - -3) is divided by g(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -2. Let v = 0.02 - -0.38. Which is the smallest value? (a) v (b) -4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4754415 times -0.4?\nAnswer: -6.9901766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1314, 1.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6258.0955 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*-2 - sqrt(5)) + (-1 + sqrt(5) + sqrt(5))*1 + 0)**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(0 + sqrt(192)))**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18 = -g. List the prime factors of (-28)\/(3*(-4)\/g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 0. Suppose 0*j - 2*j + 34 = i. Let b = 27 - j. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5 - 3121*z**4\/6 - 6463*z**3\/6 - 3353*z**2\/6 + 259*z\/6 + 43 = 0.\nAnswer: -258, -1, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/20 - 5*o**4\/12 + o**3\/3 + 13*o**2. What is the tens digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34429*f*z**4 + 2*f*z**2 + 8231962*f - 196*z**3 + 1 wrt z?\nAnswer: -826296*f*z - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 - (-2 + -2)). Let f = -6400 - -6400.1. Which is the closest to f? (a) 0 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 654 (b) -1.6 (c) -2\/7 (d) 4 (e) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/81 + (-133)\/9. Is 5 a factor of ((-30)\/4)\/(t\/250)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -461471, -922926, -1384381, -1845836?\n\"Answer: -461455*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 5*v**3 - 2*v**3 - 38 + v**3.\nAnswer: -2*v**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 139, -5, -4\/5, -0.5, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, -860, 1, -2, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66078*z**4 - 7 + z - 65629*z**4 + 3 to the form o*z**2 + v*z + w*z**3 + m + j*z**4 and give j.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7135 milligrams in nanograms?\nAnswer: 713500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365380 and 840374.\nAnswer: 8403740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -40. Sort -0.1, u, 1\/9 in decreasing order.\nAnswer: u, 1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, r: 4}. What is prob of picking 1 y and 3 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25580 = 49*r - 54*r + 10750. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/300 and -89\/3060.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4453, 9273, 14085, 18883, 23661?\nAnswer: 28413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113063 times -0.5?\nAnswer: 56531.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1114*h**2 + 475*h**2 - 1037*h**2 + 0*h - h**2 + 0*h + 2*h + 2*h**2 - 2*h + (4*h - 2*h + 0*h)*(-3 + 2*h + 3) + 2*h**2 + 2*h**2 - 7*h**2.\nAnswer: -1674*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.999968 + 8. Round m to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*o + 6. Suppose o*g = 15 + 6. Calculate the greatest common factor of 56 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 16. Let g be s(-9). Let f be ((3 - 2)\/12)\/(1\/g). Let o(i) = 2*i**2 - 6*i + 6. Let t be o(3). What is the closest to -3 in f, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b - 11041 = 88227. List the prime factors of b.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.640289 to 3 decimal places.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3357?\nAnswer: -1\/3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39909 rounded to 3 decimal places?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x = 27*x + 5328. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-183)\/1342*(-1)\/3?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 19. Suppose c*h + h - 32 = 0. Solve 2*a - 4*a = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 - 2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209624574.\nAnswer: 2, 3, 311, 112339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6.941122 - 1150\nAnswer: -1143.058878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0)*(5584\/(-780) + 7) - (-18)\/(-27)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 54 = -76*a. Let s be (-13)\/(-45) - (-2)\/(-5). Sort s, 0.2, a in descending order.\nAnswer: 0.2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7792117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78772632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44543, 1060, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -139\nAnswer: 5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:19 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 4*g + 13 - 5. Let n be (-2)\/(-16) - (-2)\/(-16). Suppose -6*s + s = n. What is h(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u + 24. Let z be (u\/(-27))\/((-4)\/(-6)). What is the third smallest value in -2, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 8868150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 11, 26, 47, 74?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19423 + 25929706\/1335. Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*f + 15. Let o be ((-316)\/5)\/f + (-1)\/(-5). Solve 6*b = 2*b + o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) 1\/2 (b) 199 (c) 0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15.6 (b) 0.29 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -566*v**2 - 32589*v + 13844. Give y(-58).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6291*h**3 - 3*h - 3545*h**3 + 3*h.\nAnswer: 2746*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3612 and 506?\nAnswer: 913836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*l - 48, 0*l - 11 = -3*o + 2*l. Suppose -w - 5*g = -2*w + o, -3*g - 7 = -2*w. Is -3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87\/329 - (-8)\/(-28). Let x = s + -89\/235. Let v = 0 - -2. Sort 0, x, v in descending order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 21*w - 52. Let s be n(14). Let h = -51 + s. What is the third smallest value in 1\/5, h, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000063731 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -57 (b) -2\/23 (c) -2230\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35847*o + 12 = 35851*o. Put -4, o, -853 in decreasing order.\nAnswer: o, -4, -853","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/2 - 2)*4\/(-10). Suppose -u + w + 3 = -5, -s*u - 5*w = -40. Solve -3*r + r + 3*k = u, 4*r = -k - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (24 - 10 - 0) - 32\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 4 + 4 - 5 + 1. Let o(y) = 20*y - 11. Determine 11*i(k) - 4*o(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104683116331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 8*q**2 + 8*q + 8. Let w be s(-7). Let d = 1 - w. Let f(u) = -34*u + 8 + 1 + 34*u + u**2. Determine f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 7*s - 2*s**3 + 7*s**3 - 7*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17510 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254998*z**2 + 5*z - 596.\nAnswer: -509996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 0*q - 2*q + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4321 - 9983 = 1619*u + 4918 + 206 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167830*v**5 - 808*v**3 + 296455052*v?\nAnswer: 3356600*v**3 - 4848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 51, 55?\n\"Answer: 4*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 13 + 0)*(-2*d + 6*d - 2*d).\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 24400 = 4*a - 18*m, 0 = 3*a - 3*m - 18300. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgggsgbsllsgg. Give prob of sequence ls.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1000110101110000111?\nAnswer: 1000110101110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1\/2)\/(2\/20). Let w(c) be the second derivative of -1\/3*c**3 - 2\/5*c**x + 0 + 1\/2*c**2 + 2*c + 1\/6*c**4. Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 364583173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m + 18. Let f(p) = 7*p + 18. Determine 5*f(r) - 6*z(r).\nAnswer: -r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 264*z - 5192. Give q(27).\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1366698, 1366696, 1366694, 1366692, 1366690?\nAnswer: 1366688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + l = 1, 3*p + l - 324 = -321. Which is bigger: -13\/110 or p?\nAnswer: -13\/110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 4*m - m)*(1 - 5 + 3)*(-2 + 2 - 2).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4*w + 13*i**3*w + 3*i**2*w - 280*i**2 - 514680*i*w wrt i?\nAnswer: 84*i**2*w + 78*i*w + 6*w - 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 52 = 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 6*t**3 + 0*t**3 + (4 - 4*t - 4)*(-12*t**2 - 6*t**2 - 11*t**2).\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 1454, 3260, 5778, 9002, 12926, 17544, 22850?\nAnswer: 28838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28\/89 + -201\/356. What is the closest to 6 in 0, b, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(3 + (-18)\/4). Is ((-2)\/3)\/(j\/(-903)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1933426 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/4 + (-15)\/10. Solve o = c*t + 14, -o - t = 3 - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + w - 1. Let u = -5 - -6. Let v be r(u). Suppose -v*x = 5*l - 35, -4*x = -5*l - 49 + 12. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -27*k**2 + 2*k + 1. Let f(t) = -5*t**2 + 6*t**2 + 4521*t + 25*t**2 - 4523*t. What is 3*f(d) + 2*l(d)?\nAnswer: 24*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 20402623?\nAnswer: 20402620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101000001100001?\nAnswer: -101000001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(170) + (sqrt(170)*-2*-5 - sqrt(170) - sqrt(170)))\/(sqrt(160) + sqrt(160)*-2) + -2.\nAnswer: -9*sqrt(17)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 29*q**2 - 339*q + 8536. Calculate s(30).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*g**5 - 4*g**2*n - g*n - 2*g - n - 235 wrt g.\nAnswer: -2760*g**3 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 21 = -6*k. Suppose -4*c = -31 + k. Calculate the remainder when 31 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let y = -0.068 + -3.232. Let l = y - u. Are l and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 29*o**6\/180 + 47*o**4\/8 + o**3 + 26*o + 196. Let n(m) be the third derivative of u(m). Differentiate n(s) with respect to s.\nAnswer: 116*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 371?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*g - 28 = 2*g, 0 = -3*x + 2*g + 14. Suppose -x = -3*a + 6. What is the second derivative of -c - a*c - 10*c**3 + 2*c - 4*c wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -177019, 0.07, -2\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 76, -8075, 2 in decreasing order.\nAnswer: 76, 2, -3, -8075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + m + 8 = 6*m, v - 4 = -5*m. Let j(k) = -v*k + k + k. Let f(i) = 7*i - i - 3*i. Determine j(f(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5 - 144\/(-28))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1512 + -1?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124713?\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434.163 decades in years?\nAnswer: 44341.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 1470*q**2 + 1521*q**2 + 2 - 2 as g*q + k + i*q**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = 26*s + 2*x + 881, 2*s + 2*x - 344 = 0. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.334401 microseconds?\nAnswer: 7334.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 41*q - 147. Determine l(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65675?\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 152 = -4*h + 664, h = 4*u + 113. Suppose v - 2 = -0*v. Suppose m + 4*g + h = v*m, m = 3*g + 122. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62019 - -61983.6305. Let s = v - -0.0695. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 + 6*p - 24. Let a(c) = -20*c**2 + 13*c - 52. Let m(b) = 6*a(b) - 13*j(b). Let g(u) = 14*u + 11. Determine m(g(f)).\nAnswer: -588*f**2 - 924*f - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -446931*y**3 + 889523 wrt y.\nAnswer: -1340793*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 56 = 33*v + 29*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from zzhzddddhhd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9924897mm?\nAnswer: 0.09924897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 - 14305*q**4 + 143*q**2 + 46 wrt q.\nAnswer: 240*q**3 - 343320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 567085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2. Let d(r) be the first derivative of 10*r**3 - 98. Give d(a(m)).\nAnswer: 270*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:00 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2189132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.9257 months?\nAnswer: 0.001160475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18150 and 73\/214500.\nAnswer: 2359500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/9276423 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/3*v**3 + 0*v - 1\/6*v**4 - 6*v**2 + 1\/30*v**5 + 0 + 61\/60*v**6. Does 40 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1086*o - 5 - 545*o - 542*o. Calculate c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032940278 rounded to 7 dps?\nAnswer: -0.0003294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1096*a - 9467*a + 210*a - 1 + 3690*a to y*a + b and give y.\nAnswer: -4471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -762 + -3085?\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4138 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -19 - 115. Let b = 70 + f. Suppose -204 = -2*d + b*c, 2*d + d - 3*c - 306 = 0. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2083 - 2087. Which is the third smallest value? (a) 1\/4 (b) l (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/5 + 48*z**3\/5 + 1911*z**2.\nAnswer: -3*z**2*(z - 65)*(z + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 2*y. Let v be k(-2). Let j be 36 - (-3 - v) - -3. Let c = 55 - j. Solve 2*x = 2*n - c + 1, 0 = -n + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10283072.\nAnswer: 2, 31, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401467624.\nAnswer: 2, 3, 233, 257, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 450961 to the power of 1\/2, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 126. What is the tens digit of (48\/z)\/(2\/(-125))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67 and 15082.\nAnswer: 15015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 2*i + 3466 = 0, -2*n - 3468 = -3*i. Let t = 44742121\/16 - 2798116. Let s = n - t. What is the common denominator of s and 13\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/7 - (-91 - -94).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = 0, -3*x + 2*v = 2*x - 152. Let c = x + -123\/4. Which is smaller: c or -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -8, -1\/2 in descending order.\nAnswer: -1\/2, -2, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 1\/134 (c) -1\/28 (d) 2\/13 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*z + 13*z - 5*q + 15, 0 = -5*q + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 3, -1778, -2 in increasing order.\nAnswer: -1778, -9, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 99*s - 77. Calculate the remainder when t(41) is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20339 - -45039. What is l rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 8 + 11 - (0 - (-2 + -24)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -26. Suppose v = -0*f + f + 47. Let c = 88 + f. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/6 + 99*m**2\/2 - 27*m - 2. Is 2 a factor of n(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13310.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + k - k)*(-4 + 0 + 6) + 36*k - 117*k - 122*k to the form o + s*k and give s.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/343 - 351\/1372. Let y = 0.3 - 0.4. Put 3, c, y in decreasing order.\nAnswer: 3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 0)*(2 + 4 - 3) + 2 + 1 - 5)*(-6 + 2*m**4 + 6) in the form a*m + k*m**2 + g + y*m**3 + q*m**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(2574\/(-104) - -24)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 3584, 2, -1, -5 in increasing order.\nAnswer: -5, -1, 2, 52, 3584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 25661*x - 25669*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709600317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n**3 + 56*n**2 - 1 + n**3 - 62*n**2 - 6*n + 3 - 10. Suppose o + 4 + 4 = 0. Let p = -1 - o. Give l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102706*d**2*r**3 - 19*d*r**3 + 406*d*r**2 - d*r - r**2 wrt d?\nAnswer: 205412*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b. Let c(g) = -8182*g + 2. Calculate i(c(r)).\nAnswer: -49092*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let m = -11 + 15. What is the closest to z in 1\/2, -3, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 34*s**2 + 62*s + 67. Let h be b(32). Let y = -60 + 71.1. Let k = y + -11. What is the closest to h in k, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, s: 1, x: 1, q: 2, e: 8}. What is prob of sequence os?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 81 + 41 - 6675*h.\nAnswer: -6675*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(675\/(-325))*11\/(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -943*s - 879 wrt s.\nAnswer: -943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 4*p + 20. Suppose -w - p = -k + 2*w, 0 = -4*k + 5*w + 13. Solve m = -4*l - 5, 7*m - k*m = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w - 1. Let b be z(-2). Let n be 1 - 0 - 18\/3. Put 5, b, n in descending order.\nAnswer: 5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Let g = 42 - 25. Let y = g + -15. Solve -y*r = -o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2 - 18*c + 33. Let j be a(-10). Solve -5*x + 3*w = -991 + j, w = -1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:45 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p + 10. Let g(u) = -2*u + 345. What is n(g(c))?\nAnswer: -16*c + 2770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*6\/72)\/((-2)\/6). Let h(t) = 2*t - 8. Suppose k - 1 = 3*u, -5*k + 0*u + 22 = 2*u. Let x(l) = -3 + 0 + k. What is q*h(o) - 5*x(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1799 * -1.3286.\nAnswer: 2390.1514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217514742 and 46?\nAnswer: 5002839066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -2.9. Let j = -11 + 21. Which is the biggest value? (a) j (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/(-24) - 2\/6. Suppose -o + 8 = 3*h, o + 3*h = -l*o + 14. Suppose 2*y - 5*y + 25 = -5*s, y - 10 = o*s. Sort 0.5, s, -9 in decreasing order.\nAnswer: 0.5, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -725\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 8. Let d = 5 + h. Is 11 a factor of -2*d*33\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c. Let q(p) = -6*p**2. What is f(q(x))?\nAnswer: 36*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.3932 rounded to 1 dp?\nAnswer: 57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17154 is divided by 8543?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 - 5 + 87*s**2.\nAnswer: 87*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26802.\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-51)\/9 + 4\/(-12)*-2. Let k(c) = -c - 1. Let a be k(-6). Let o = r + a. Is o bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 6*c - 8*c - 77*c**2 - 9*c + 29*c.\nAnswer: -77*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1536*c**3 - 768*c**3 + 4 - 781*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4. Let v be w(3). Suppose 0*t - 1125 = -v*t. Does 45 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + 0)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/35 - (-948)\/189 and 137\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (9 - 4) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 132958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0*y + 2*y**4 - 14\/9*y**5 + 0 - 8\/9*y**2 + 8\/3*y**3 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.86940677 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100*-2*(-14)\/140. Solve 8*l + x = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = -2*q - 59, 0 = -4*q + k - 107. Sort -4, -5, q in decreasing order.\nAnswer: -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517.075t in nanograms?\nAnswer: 3517075000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -8. Suppose -2*g = 2*g + x. What are the prime factors of 6\/g + 9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 - 24*w\/5.\nAnswer: 3*w*(w - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 38161674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1a1 (base 13) to base 3\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/y**(-18))*(y\/((y**(5\/2)\/y)\/y))\/y assuming y is positive.\nAnswer: y**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 22. Let m be g(-20). Suppose -q - 4*v = m*q - 4, -4*q = -3*v + 3. Suppose q = 6*h - 433 - 353. What are the prime factors of h?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78008, -78012, -78016, -78020, -78024, -78028?\nAnswer: -78032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 2*k)*(-k**2 + 0*k + 0*k) - k**2 + k**2 + k**3 + (-2*k - 2*k - k)*(155 - 155 - 13*k**2).\nAnswer: 67*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 + 0.13. Let q = 47\/6 - 811\/102. Let g = 11\/48 - -1\/48. What is the third smallest value in p, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/3 + 385742*o**3\/3 - 16532687808*o**2 + 708530375395206*o + 4960522773573003 = 0.\nAnswer: -7, 128583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 9*v - 18. Let s be n(-6). Suppose 5*c + 13 = 4*p - s*c, -4 = -3*p - 2*c. Solve 2\/3*a**p - 2*a + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**5 + 10*l**4*t**2 + 20*l**2*t**2 - 3*l*t wrt l?\nAnswer: -240*l**2 + 240*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1834 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m - 1. Let f(p) = -7*p**2 - p + 7. Let v(w) = f(w) - 6*o(w). Let l be v(-9). Which is the closest to -2? (a) l (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*t + 72. Solve t*c + 12 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11)**13)**27 assuming h is positive.\nAnswer: h**3861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-26) + 152994\/15418 - 32.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(48) + 1*sqrt(2) + -1.\nAnswer: -1 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -47445 divided by -3\nAnswer: 15815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70265341.9000104 - -70266081.9. Let v = k - 740. What is v rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*g + 88*g + 2*m, 3*g - 4*m + 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -1210*g**2 - 235*g + 975 = 0?\nAnswer: -1, 195\/242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:50 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-1)\/(-2))\/((-6)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, 220, 436, 630, 796, 928, 1020, 1066?\n\"Answer: -v**3 - 2*v**2 + 245*v - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*g + 8 = 0, 4*t + 5*g - 73 = -84 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let g = z + -4. Let y = 7 + g. Calculate the greatest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 30. Suppose 0 = -5*z - 5*q - c + 65, 4*z + 5*q = 49. What is the greatest common factor of 88 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 230, 368, 506, 644, 782?\n\"Answer: 138*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3.1. Let r = y - -14.9. Let p = r + -19.3. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(72)\/sqrt(8)) + sqrt(48)\/sqrt(2))\/(sqrt(33)\/(sqrt(22)\/sqrt(2) + sqrt(11)) - (sqrt(3) - 1*sqrt(363))).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-3)\/6*-14. Let a be ((-2)\/4)\/(5\/x). Let l = 1.3 - 0.3. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*u + 83*u + 11*u.\nAnswer: 174*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304430000 rounded to the nearest one million?\nAnswer: 304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 - 231823533*k\/4 + 53742150452602089\/8.\nAnswer: (k - 231823533)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35.99339ml?\nAnswer: 0.03599339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -76\/15, 5\/3, 0.2?\nAnswer: -76\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 7*n + 4. Let s be v(-4). Suppose 0*y - 3*y + 119 = -4*a, s = -4*y - 3*a + 117. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-1\/15)*y)))\/y*y)\/y**(-24) assuming y is positive.\nAnswer: y**(389\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**7\/840 - p**5\/60 - 2*p**3 + 5. Let r(t) be the third derivative of a(t). Find the second derivative of r(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*b**2*d**2 + b**2*j - 18*b*d**3*j - 2*b*d**3 - 2*d*j**3 wrt j.\nAnswer: b**2 - 18*b*d**3 - 6*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b. Let q = -35 - -36. Let c be 287\/14 - q\/(-2). Let f(u) = 29*u + c*u - 53*u. What is f(h(m))?\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -46 + 1773 + -1709?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91724 and 107225356?\nAnswer: 107225356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2525*t**2 + 143*t**3 + 2525*t**2 - 2*t + 1053*t**3 - 263*t**3.\nAnswer: 933*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 719 + 1081. Suppose -4*a + b = -5*y + 513, -2*a - 3*y = -671. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*t - 9862 = -365*t + 288*t + 6898 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7516?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 - 265. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/1 - (2 - -2). Suppose p*n - 64 = -n. Calculate the highest common factor of 112 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*x + y, -8 = 2*y - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -9\/2*d**4 + 0*d**2 - 6\/5*d**5 + 14 + 0*d + 4\/3*d**6 - 4\/3*d**3. Determine o, given that a(o) = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 15 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*j - 2, 4 = 5*j + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -86\/3*b**2 - 1\/3*b**3 + 4232 - 1564\/3*b = 0. What is b?\nAnswer: -46, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -19*l + 3. Let w be c(-2). Let a = 46 - w. Solve -5*k = -3*m + 5, -a = 7*k - 2*k + 3*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 = 3*j, 2*p - 2*j - 32 = 0. Suppose d - 750 = -5*n, 9*n - p*n + 288 = -2*d. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + (-40)\/15. Let u = 4 - y. Suppose -2*h + u = 0, 16 = 5*r + 2*h - 20. Solve -3*p + 0*p = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -58086900\nAnswer: 1\/19362300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 74 = -2. Suppose 0 = -2*l + 22 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758749702?\nAnswer: 2, 631, 941, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1354, -2742, -4166, -5626, -7122, -8654, -10222?\n\"Answer: -18*c**2 - 1334*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 51 - 36, -3*b - 15 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 3*q + o, -18*q + 21*q = 2*o + 205. Solve 57 - q = 8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32692267331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzdm. What is prob of sequence dzzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*k**4 + 469*k**3 + 52*k**2 - 152 wrt k.\nAnswer: -1488*k + 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/2 - 14*w**2 + 64*w + 512 = 0. Calculate w.\nAnswer: -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 244, 964, 2164, 3844?\n\"Answer: 240*z**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 623*g**3 - 429*g**2 + 8*g + 27. Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340\/1671 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 8*x**2 + 7*x + 5. Let t be (13\/(-26))\/((-1)\/14). Suppose 14 = t*l - 9*l. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5207022 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237.1 - 237. Is -8\/3 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*v**2 - 2 - 106*v**2 + 126*v**2 in the form t*v + p*v**2 + b and give p.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 at most 3.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33919 + -7945. Does 54 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2 - 2*i - 17. Suppose r - 25 = -2*w + w, -63 = -3*r + w. What is the remainder when b(5) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aasw when four letters picked without replacement from aaawusausaaaaaaawuw.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 258 + 182 = -3*h, -2*q - 5*h + 38 = 0. Solve -q = 20*w - 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10466.\nAnswer: 2, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 + k**2 + 7*k - 3. Let o be y(-5). Suppose o - 41 = -m. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.1 (c) 3 (d) -3\/5 (e) 1226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -23. Let r = -23 + 27. Suppose 3*z + 5 = r*l, -l + 4 = 2. What is the third biggest value in -1\/5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23.99202 nanometers?\nAnswer: 0.00002399202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*n - 77394 + 77394.\nAnswer: 1570*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvggggggggvgggv. What is prob of sequence vv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(sqrt(17) + 1) + 4)*-4 + (3*(1 + sqrt(17) + 1) - (4 + sqrt(272)*-2)))**2.\nAnswer: -132*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m**5 - 220*m**4 - 885*m**3 + 130*m**2 + 1300*m - 360 = 0. What is m?\nAnswer: -2, 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 482.6 - 489.662. What is l rounded to 1 decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245394 + 245407.99945. Let a = -16 + 30. Let o = a - j. Round o to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*y + 111 = 71*y. What is the greatest common divisor of 259 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22667*t**2 - 67008 wrt t.\nAnswer: 45334*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479 + -334. What is the greatest common factor of 58 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 3)*((-2 - 3 + 3)*(-2*p**2 - 3 + 3) + 3*p**2 + 2*p**2 - 3*p**2).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:52 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*i = 94, -68 = -3*d + i - 2*i. Let s = 125\/72 - -11\/8. Calculate the common denominator of s and (d\/(-88))\/((-1126)\/(-584) + -2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19703 is divided by 2188.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92197 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197591 - -149378759\/756. What is the common denominator of z and -163\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and ((-16)\/(-4))\/2 + 39\/(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ormgggrooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*b + 0*b = 12, -16 = -5*d + 4*b. Let l(n) = -n**3 - n**2 + n + 12. What is l(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 divided by -62724?\nAnswer: 383\/62724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 + 2*v**3 + 28*v**2 - 48*v = 0.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -175771.4 and -0.07.\nAnswer: 12303.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:23 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 37*i - 49. Let n be 54\/(-12)*(17 - (-636)\/(-36)). Calculate f(n).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 36 + 0*b**3 + 0*b**2 - 26*b + 5\/4*b**4. Find the first derivative of p(x) wrt x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 811 + -558. Let b = 109 + -86. Calculate the greatest common divisor of l and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m + 297. Let y(r) = 59*r - 1240. Let l(i) = -25*x(i) - 6*y(i). Let p(t) = -5*t - 4. Calculate 2*l(j) + 9*p(j).\nAnswer: -3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1.28\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, q: 9, n: 6}. What is prob of picking 3 f and 1 q?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s + 40. Let z(q) = q**2 - 3*q + 2. Let t be z(3). Suppose -f - t*f + 4 = 4*k, k = 2*f + 12. Calculate the least common multiple of s and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4650 divided by 4650.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:23 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 + 15*v + 38. Let z(a) = -2*a**2. Calculate w(z(t)).\nAnswer: -4*t**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:55 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 5*l - 6779 + 13457 - 6678.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and 6.81813.\nAnswer: 463.63284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -60*y + 1. Let b(z) = 2*z - 1. Let w be b(-3). List the prime factors of h(w).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a0979 + 3a?\nAnswer: 24a0a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 35 = 9*r, 2*r + 0*r - 5 = 3*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 4*a + 20. Suppose -a*f - h + 10 + 6 = 0, 2*f = 4*h + 24. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - r + 147. Let v(s) = -58*s**2. Determine d(v(w)).\nAnswer: 16820*w**4 + 58*w**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -150*z**2 + 31*z. What is y(1)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*z**4 + 21*b**3*z**2 + 2*b*z**3 + 7*z**5 wrt z?\nAnswer: 96*b**3*z + 12*b + 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3703 is divided by 108?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17979*0.061.\nAnswer: 1096.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 39.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 8.27\nAnswer: -0.3308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 289.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*j + 48, -5*z - 55 = -3*j - 8. Let s(h) be the first derivative of h**3\/3 + 2*h**2 - h - 27. Is s(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 3288487920*j + 675884549999120400.\nAnswer: 4*(j + 411060990)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 80, 215, 444, 791, 1280?\n\"Answer: 4*b**3 + 11*b**2 + 4*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354576 (base 10) to base 3.\nAnswer: -200000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520585 is divided by 398.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21122 (base 3) in base 15?\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/9196 and 167\/117040.\nAnswer: 1287440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 27. Let m be c(11). Calculate the greatest common divisor of m and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -5. Suppose -5*o = -s*o + 5. Let i = 13 + -11. Calculate the remainder when o is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 9.\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 92\/(-16) - (-10)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(2\/11)\/(l*l*l\/l**(-1\/3))**3)\/(l**(1\/8)*l*l*l**3*l)**(-3\/35) assuming l is positive.\nAnswer: l**(-4089\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 4*b)*((8282 - 776*b - 8282)*(-2 + 3 - 3) - 2*b - 1 + 1).\nAnswer: -3100*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004483 rounded to 7 decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -88*m + 17. List the prime factors of t(-4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -4)*1*-5. Suppose -5*a = -d - 145. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*s + 10721 - 90938 = 87197 for s.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -5*(-1)\/2*74\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s - 8. Let v be p(0). Let j(y) = -y**3 - 7*y**2 + 7*y + 2. What is j(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1006, 1, 2 in increasing order.\nAnswer: 1, 2, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109 - 0.72?\nAnswer: -0.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 8:15 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -18. Suppose 5*a = 4*q - 0*q - 86, -3*a = -2*q + 44. Is j less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 941 divide 1052900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1919495 to one dp.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - 1385?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -27*z - 68. Let i(s) = -18*s - 46. Calculate 8*i(w) - 5*v(w).\nAnswer: -9*w - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 8 + 42*d**2 + 145*d**2 - 13 - 6.\nAnswer: 187*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/112 and 79\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164491555\/436 + -377274. What is the common denominator of -29\/18 and r?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428856.\nAnswer: 2, 11, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {v: 4, g: 1, n: 2, e: 1, h: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -245*i - 67. Let r(f) = 245*f + 73. Calculate -6*r(l) - 7*t(l).\nAnswer: 245*l + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -11\/2, 618\/11, -2 in descending order.\nAnswer: 618\/11, 1\/2, -2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*u + 300 = -939*u + 478*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1264114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -35600000 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120 divided by 5?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233302030 (base 4) to base 3.\nAnswer: 100221111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3449 + 3963. What are the prime factors of t?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -5. Let c = 8 - -9. Calculate the remainder when c is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvjtsivtviiitrvriiis. What is prob of picking 1 r and 2 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -18 + (-4 - -18 - -11).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004651 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2163 and -0.209?\nAnswer: 452.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 542*b + 670*b + 606*b + 50*b + 627*b as w*b + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -129*f - 1679. Give i(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 17.1. Let n = 2 + m. Let a = 0 + 0.1. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724171759.\nAnswer: 179, 229, 115249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -210890000 rounded to the nearest 1000000?\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 111532?\nAnswer: 111510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12849 is divided by 118?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497209777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26*l - 10 = -30*l, -2*l = 2*t - 6. Solve y + t = -5*g, -g - 5*y = -3*g + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m**2 - 1422*m + 7. Let d(v) = 10*v**2 - 712*v + 4. What is 7*d(q) - 4*o(q)?\nAnswer: -2*q**2 + 704*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - n + 7 = 0, -158*n + 157*n = 2*l - 15. Let -35\/2*w**4 + 45\/2*w**3 - 15\/2*w**5 - 15*w + 35\/2*w**l + 0 = 0. Calculate w.\nAnswer: -3, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18225015 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*z + 13, 3*t - 65 + 20 = 4*z. Suppose 3*a = -s + t, 3*a - 2*s + 7*s = 35. Put -1\/4, a, 0.4 in increasing order.\nAnswer: -1\/4, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21823 and 667564.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/14 + 8)*21\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + sqrt(13))**2 + sqrt(13) + 6*(-1 + sqrt(13)).\nAnswer: 7*sqrt(13) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7177553 to the power of 1\/2, to the nearest integer?\nAnswer: 2679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*f + 7 - 21776 = 881 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 12.1 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -34, -74, 0.2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 30. What is the smallest common multiple of 22 and (h\/(-1) - 2) + 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 4*l - 2 - 5*l + 4*l. Suppose -2*a = -5*a - 3, -y = -2*a. Let p be z(y). Solve p*j = -3*c + 3, 2*j - 1 - 3 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c - 196*c = -16*c + 59*c. What is the nearest to -0.02 in 1, -4\/3, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1084*s**2 + 615*s + 9. Let q(u) = -542*u**2 + 309*u + 4. Let c(w) = -4*h(w) + 9*q(w). Find the second derivative of c(z) wrt z.\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*l + 47 = -118*l. Which is the second biggest value? (a) -1\/3 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9543*v - 8580*v - 1359225 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623343202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31887849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*m + 2858 + 52 = -326*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 0.2\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1036)\/6475*5\/(-6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2679 + 1498. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287276 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30627249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652*n = -1708*n + 8021384. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 63. What is the remainder when 2959 is divided by c(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653712.\nAnswer: 2, 103357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -59*o**8\/336 + 43*o**6\/120 + o**4\/12 - 671*o**3\/6 - 9970*o**2. What is the second derivative of b(f) wrt f?\nAnswer: -1180*f**3 + 258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*k + 4, -4 - 1 = -5*r + 5*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 59084270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let z be (0 - 2)\/(3\/15*2). Let m be (-3 - z) + -6 + (4 - 0). Let n(x) = m*x**2 - 16*x**2 + 18*x**2. Calculate n(v(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7396861 or 0?\nAnswer: -7396861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 25*a + 480 = 0. Let o = 225 + a. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1006536us to minutes.\nAnswer: 0.00000000167756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 994 and 3402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z - z)*(0 + 2 - 3)*(-3*z - z + 0*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1 - 2*o + 2 - 3*o. Let d be q(-2). Calculate the highest common factor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -3, -2, -4, 2 in decreasing order.\nAnswer: 88, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 2*u + 21924 = 0. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.10095ns in hours?\nAnswer: 0.000000000133361375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*w - 30 = 0, 0*f + w + 10 = -3*f. Let o be 2\/4*2 + 1. What is the units digit of 13 + o + (f - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 15*n**3 - 54.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 59 - 65. Let l be (-18)\/27*(-30 + 3) - h. What is the highest common factor of 609 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -8. Suppose -r*c = 16 + 4. Let t = -2 + 0. Put t, 3, c in decreasing order.\nAnswer: 3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14404 + 14403.990171. Round m to four dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let t(f) = -f - 4. Let i(o) = -2*b(o) - t(o). What is i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223*(-3)\/(-96) - (78 + (-85 - -14))\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 + 392 - 795 + v**2 + 9*v**3.\nAnswer: 9*v**3 + v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.2. What is the nearest to g in -0.1, -5, -6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 6*g)*(-892194*g + 892194*g - 1815*g**2).\nAnswer: -7260*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 229, 431, 693, 1009, 1373, 1779, 2221?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyarr. What is prob of picking 3 a and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/8 + 375*z**3\/8 + 561*z**2\/8 + 583*z - 2. Factor d(y).\nAnswer: 3*(y + 187)*(2*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -521, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - -108. Is 47 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35113, -70255, -105445, -140683, -175969, -211303?\n\"Answer: -24*k**2 - 35070*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9056 times -174\nAnswer: 1575744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -574.14812?\nAnswer: -574.14812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 835\/2184 - 2\/273. Sort -4, x, -3.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 1, i: 4, g: 3}. Give prob of picking 3 x and 1 b.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16\/3*u**2 + 4\/3*u + 4\/3*u**3 + 8 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - -5. Suppose 3*h - 26 = h. What is the greatest common divisor of h and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103600 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5\/5 + 24*p**4 + 1251*p**3\/5 - 270*p**2 - 39852*p\/5 + 17496 = 0.\nAnswer: -18, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 15396, 0.04, -3, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/9)*y**1)\/(y**(2\/3)*y**(-5\/3)\/y*y) assuming y is positive.\nAnswer: y**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2344.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 50. Suppose -5*x = a*w - w - 24, 0 = -x + 4*w - 12. Differentiate -3*n**3 + x*n**3 + 43*n - 43*n + 22 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5935 + -5932.262. What is r rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 1)*18\/21*24\/(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 8. Let x be w(7). Let j be (-7932684)\/(4 + -6) + x. Suppose -5*p = -j - 10533659. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -497 divided by 10\nAnswer: -497\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xld when three letters picked without replacement from ldxxdlllldlxqdd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10776385\/8 + -1344866. Let c = q - 2172. Find the common denominator of c and 38\/57 + (-717)\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -801.445082 - 727.552317. Let u = -1529 - r. Round u to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 1. Let z(x) = -x**3 + 6*x**2 - 5*x + 3. Let p(y) = 3*y**2 - 2*y + 1. Let i(l) = 9*p(l) - 4*z(l). Give -3*g(n) - i(n).\nAnswer: -n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*f**2 - 488*f**2 - 196*f**2 + f - f in the form n*f**2 + k + o*f and give n.\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12320659.\nAnswer: 13, 947743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 127*t - 2092. What is the hundreds digit of l(113)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.4 (b) -15 (c) 10\/11 (d) 5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -90. What is the units digit of 2\/4 + 642\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/3 + 36*s**2 - 28*s - 6. Let o(a) = -5*a. Give q(o(z)).\nAnswer: 10*z + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 5 (c) -3 (d) -2\/148787\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + z**3 - 3 - 2*z - 3*z + 3*z**2 - 4*z**3. Let b = 8 - 11. Calculate the remainder when 47 is divided by w(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6809 - 6809 + 39*a + 2*a - 4*a + a + 2 - 2 + 2*a + (-2 + 4 + 0)*(a + 3 - 3))*(-a - a + 0*a).\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, q: 6, b: 1, n: 1}. Give prob of sequence qqf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 43*r**6\/60 + 2*r**5\/3 + r**4\/24 - 5*r**2 - 5. Find the third derivative of q(x) wrt x.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 66 = 3. Suppose -4*z + 33 = o. What is the remainder when z is divided by (6\/(-30))\/(1\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5*i - 24, 3*f + 4 = 42*i - 40*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -0.5 (c) -0.4 (d) -4.9 (e) 0.83 (f) 0.261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*p + 8, -3*d - 2*d + 32 = -3*p. Let n = 283.7 + -286. Let f = -2.5 - n. Which is the closest to -3\/8? (a) d (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -6*y + 3 - 3*y**2 + 1\/4*y**4 + y**3. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 + 2*y**3 + y**2 + 6*y + 7. What is the tens digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -434.661 - 0.339. Let r = f - -435.0679. Round r to three decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d - 3*d + d - 12 + 34 - 27. Suppose 3*p + 0 = 12. Let s be p + 2 - (1 - 0). What is h(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/((-675)\/375). Which is the closest to 286? (a) 1 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 136.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:46 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 2\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4250405?\nAnswer: 5, 850081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -13 + 33 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*d - 735 = -187*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Let b = -0.1183 - -0.6183. Sort -3, p, 3, b in descending order.\nAnswer: p, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 4*u + 4*u. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 - 3*c**2 - 3*c - 3. Let j = 12 - 6. Suppose -i + 10 = -j*i. Is d(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 354*j + 1346. List the prime factors of u(22).\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6399811 is divided by 7256.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 - 3*r + 3. Calculate the remainder when j(-4) is divided by -12 + 22 + 6 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5034 divided by 3.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/4 (b) 8\/3 (c) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 9. Let r be o(-6). Let j be -20 + 0 - (6 - r). Let l = j - -46. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 2905800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29637 + -29632. Solve 0*o - 4 = -3*o + w, -4 = -g*o + w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147033 * -0.2\nAnswer: 29406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i - 139. Let t be a(16). Suppose 0 = 6*c - 4*c - t*x - 317, -x = 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 8. Let q(i) = i - 1. Let n(l) = b(l) - 4*q(l). Suppose m = 2*m. Determine n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1775 divided by -355.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1061, -2113, -3171, -4235, -5305, -6381?\n\"Answer: -3*u**2 - 1043*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 255754 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/4 - 1943*t**4\/2 - 944782*t**3 - 1881796*t**2 + 3779132*t + 7542728 = 0.\nAnswer: -1942, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*x - 14 + 35 = 0, 12 = 4*x. Let j(g) = 2*g**2 - 2*g + 1. What are the prime factors of j(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c + 9. Is (c - 7) + 13*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/5, 2\/5, -430, -22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.74782 litres to millilitres.\nAnswer: 2747.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.43 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -803 - -825. Solve -20*d = -9*d - n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x\/x**(3\/10)*x*x)\/x*(x**(-30)\/x)\/x assuming x is positive.\nAnswer: x**(-293\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15250 (base 6) in base 12?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:14 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 69*r - 2 = 0. Which is smaller: -12\/7 or r?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 - -198. Calculate the smallest common multiple of s and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 4 in increasing order.\nAnswer: -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d*d*d*d**1*d)*d*d)**(-1\/32))**(3\/5)*d*d**(-2\/13)*d**(-3)*(d**(2\/7))**8 assuming d is positive.\nAnswer: d**(12\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(((sqrt(931) - sqrt(931)*3*1 - sqrt(931)) + 0)*6 + -3))**2.\nAnswer: 7056*sqrt(19) + 4826353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1383 + -1086. Is k greater than or equal to 296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -13. Let c = 24 - k. Let x be 3\/(-3)*0*12\/12. Solve -c*j + 5*j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2679751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*(((-399)\/490)\/(-19))\/(36\/30)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n - 18. Is 56 a factor of a(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 17*h**2 + 11*h + 42. Let k be w(16). Which is the third smallest value? (a) -3 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 3, z: 4, y: 4, m: 2, u: 3}. Give prob of sequence cmcc.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6881546 to the power of 1\/2, to the nearest integer?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n + 5*n**2 + 7*n**2 - 13*n**2 + 5. What is w(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:11 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(686) + (-2*-3*sqrt(686) - sqrt(686))))\/(sqrt(567)*2*5 - sqrt(567) - -3*sqrt(567)*-1).\nAnswer: -28*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68866 is divided by 704.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.7 * 5.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(17) + sqrt(153) + 3))**2.\nAnswer: -576*sqrt(17) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-28))\/(((-51)\/(-2499)*14)\/1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.11 + -11. Let c = v + -0.11. Let b = 5 + c. Put -0.08, b, -3 in ascending order.\nAnswer: -3, -0.08, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 22. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 121. Let z = d + -72. Let w(h) = 4*h**2 + 34*h**z + 2 + 2 - 5*h - 36*h**3. Let o(j) = 2*j**3 - 5*j**2 + 5*j - 5. Determine -4*o(x) - 5*w(x).\nAnswer: 2*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*g + 4*c - 22, -5*c = -3*g - 7 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -4124432?\nAnswer: -4124444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11023 and 949?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, t: 4, r: 3, e: 8}. What is prob of picking 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3612015 or -3612018?\nAnswer: -3612018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1336.58801 smaller than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3611 - -37.0611. What is z rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/(-5) + 10)*27\/144. Find p, given that m*p**3 + 15\/8*p**2 + 9\/8*p - 27\/8 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - 2 + 4*x**4 + 31*x**2 - 88740*x + 2*x**3 + 88738*x in the form y*x**3 + h*x**4 + v + t*x + o*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10701 and 42296877?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*n = 14, -2*m + 2*n + 26 = -3*n. Find the third derivative of -7*k**4 - 23*k**2 + 11*k**3 + m*k**4 - 34*k**3 wrt k.\nAnswer: 24*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 - -105a?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 6. Suppose 27 - 13 = 7*h. Suppose 2*m - 28 = 4*m. Let j be (72\/84)\/(h\/m). Determine f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 5, p: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3, 0 = -5*q - 3*d + 4 + 12. Solve 4*r = -q*t - r, -t = -4*r + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.76 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t)**(-3\/7)\/((t\/t**(-2\/3))\/(t\/t**(2\/7))))**30 assuming t is positive.\nAnswer: t**(-470\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 506409 = 4*m - 46*x, -632995 = -5*m + 2*x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123*s**3*x**3 + 678*s**3 - 1980*s**2 + 110351*s*x**4 - 16 wrt x?\nAnswer: -369*s**3*x**2 + 441404*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -9 - (-2 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 2*q**2 - 2*q**2. Let t(k) be the first derivative of k**2\/2 - 25. Calculate t(r(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 31. Let z(q) = -q + 15. Let c(o) = 3*h(o) + 7*z(o). Let t be c(10). Solve -t*p + 0*p = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -507 + -2106322?\nAnswer: -2107031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*d - 56850 = 88*d - 1827*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 3*i + a - 3*a + 64 = -6*i, -2*i + 5*a = 2*i - 30 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-339392)\/(-100) + 42\/525.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.5 (c) 5 (d) 3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + -1 - (4 + sqrt(448)*2) - 2*((-1*sqrt(42))\/sqrt(3))\/(sqrt(150)\/sqrt(3)))**2.\nAnswer: 192*sqrt(7)\/5 + 16228\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502928 is divided by 83792.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 647, -1, -0.07, -20?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-55)\/(-65)) + 3. Let j be (4\/(-18))\/(4\/(-24)). What is the fourth biggest value in j, -2, 0, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3029 and 6132793?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3489 + -3487. Let d(t) be the second derivative of 1\/3*t**3 - t**2 + 1\/6*t**4 + t + 0 - 1\/10*t**5. Determine d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/2*(-112)\/(-12). Suppose -p + 7 = 5*t. What is the remainder when 46 is divided by (-6)\/t*(14 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250285883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 + -7076?\nAnswer: -7075.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -268, -251, -234, -217?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 73*k - 759. Calculate p(46).\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*p + 252, 145 = 4*p - n - 95. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 0.05, -0.08, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 8. Suppose 22*u - 86 = 90. Give y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717798 is divided by 118163.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17924, 72188, 162636, 289274, 452108, 651144?\nAnswer: 886388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*f - 33 = 0, 5 = -5*s - 3*f - 0*f. Suppose -569 = -4*u + t, s*u - 272 = -t - t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -176, -706, -1578, -2786, -4324, -6186, -8366?\n\"Answer: t**3 - 177*t**2 - 6*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/20*u**5 + 7\/12*u**4 + 1\/6*u**3 + 0 - 2*u**2 + 5*u. Is 20 a factor of w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 348*n*p**2 + 118163311*n - 68441*p**2 wrt p.\nAnswer: 696*n*p - 136882*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -2*h + 64 = 2*h + 4*y, q*y - 54 = -4*h. Let a = 11 + h. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 1.9. Let p be -1*4\/5*(-2)\/(-8). Which is bigger: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-35)\/(-92085)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*x**4 - 135*x**4 + 6*x**4 - 162*x**2 + 7*x**5 wrt x.\nAnswer: 420*x**2 - 10944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22461722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4768 + -4767.9. Which is the nearest to l? (a) -10 (b) -1 (c) -5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7 - -1 - (-2 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 1)*(0 - -1). Let y(p) = -3*p**3 - 2*p + 1. Let x(k) = -5*k**3 - 4*k + 2. Give m*x(o) + 7*y(o).\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 1 - 1)*(-z + 2*z - 3*z) + (7*z**2 + 9*z**2 - 6*z**2)*(-4 + 2 + 1) as d*z**2 + o*z + j and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r - 881 + 3956 + 3040 = 355 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 315?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1211?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjletqq. What is prob of picking 1 q, 1 e, 1 t, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*u**2 - 116*u**2 + 212 - 72*u**2 as z*u**2 + p*u + l and give l.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikfku. What is prob of picking 1 f and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122020 (base 3) to base 16.\nAnswer: -1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1295 (b) 0.2 (c) -1\/6 (d) 0.1 (e) 1\/6 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-77)\/539*7\/(-4). What is the smallest value in p, 29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14475, -14476, -14477?\nAnswer: -14478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.533 millilitres to litres.\nAnswer: 0.981533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 395*t**4 + 1041219*t**3 - 4172256*t**2 + 4181756*t - 10560 = 0?\nAnswer: -2640, 1\/395, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*u + 2*o, -3*o = -5*u + 4 - 19 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.944 rounded to zero dps?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 6*p + 79. Determine c(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5846882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 4, -7627?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 29*i + 3267. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttrbbtvbtbtttbbttbr. Give prob of picking 2 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582727981 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {g: 2, q: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(68) - (sqrt(68) - sqrt(68)*2))\/sqrt(4))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24798.19km to meters.\nAnswer: 24798190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {s: 6, x: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1\/5, -14576 in decreasing order.\nAnswer: -2\/17, -1\/5, -14576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*w - 9 - 23, w - j = 1. Put -5, w, 1 in descending order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 4*v**2 - 4*v + 2. Let n = -12 + 14. Determine a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1867.8 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a factor of 346935440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26860 by 79.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 233865503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28534636.11456 + -580.88544. Let b = s + 28535181.999918. Let u = 35 + b. Round u to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124713194?\nAnswer: 2, 62356597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + (2*sqrt(400) + sqrt(400) - sqrt(400)) + sqrt(400))\/(2*sqrt(125)).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 63. Let r = 155 - 154. Suppose m + 3*l + 25 = 0, -m = -0*m - 5*l + r. What are the prime factors of j(m)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let w(i) = 8*i**2 - 13*i. Calculate l(w(b)).\nAnswer: -24*b**2 + 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675*0.2.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34410 + 3?\nAnswer: -34402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 + a + 2. Let d(u) = 1849*u**3 - 2067*u**2 + 2*u + 4. Let w(g) = d(g) - 2*j(g). What is the third derivative of w(v) wrt v?\nAnswer: 11082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s + 9 = 0. Suppose s*q - j - 64 = 4*j, -q + j = -18. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, o: 1, v: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117.7 - 118. Which is the second smallest value? (a) -3\/2 (b) -62 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/5 - 731*p**4\/5 - 69026*p**3\/5 - 1037546*p**2\/5 + 22685089*p\/5 - 21577787\/5 = 0.\nAnswer: -49, 1, 11, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -0.31. Let d = -11.24 + 0.24. Let o = 7 + d. What is the second smallest value in f, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947107 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.3, 2, 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/175*((-1)\/5 + 33\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {z: 4, x: 3, k: 1, w: 1, l: 1, j: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*z - 20*z - 152*z.\nAnswer: -329*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431024.\nAnswer: 2, 3, 7, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/8) + (-9425)\/(-725).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 > -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 986576 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31749199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2799 (base 15) in base 9?\nAnswer: -12550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 363 and 272856?\nAnswer: 33015576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 8*m - 9. Let p be o(6). Suppose 41 + 73 = 3*h. Let l = h + -26. Solve -k - 1 = -p*b, -1 = 4*k + 3*b - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 76\/10)\/(27\/90). Let y(u) be the first derivative of -5*u + 0*u**4 + 13\/3*u**3 + 3\/5*u**5 + 0*u**v - 26. What is the derivative of y(r) wrt r?\nAnswer: 12*r**3 + 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*v**3 + 43*v**3 + 15*v**3 - 32*v**3 - v**2 + 3*v**2 + 19*v to the form p + y*v + t*v**3 + r*v**2 and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.733 and -0.4.\nAnswer: -1.4932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/63)\/(1122\/(-1309)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u. Suppose -3*o = -6*o. Let i(y) = y**3 + y. Let c be i(o). Is u equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 + 7*j - 10. Let f be k(5). Solve f = a - 4*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 78*w**2 - 3. Calculate n(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 12. Suppose -h*j + 2069 = -5*b, -3*b + 0*b - 2744 = -4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(147) + -1.\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10221 (base 3) to base 9\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(-8\/7)\/m)))\/(((m*m**(-4\/7))\/m*m)\/m)*m**7\/m*m*(m*m**(-1\/10))\/m assuming m is positive.\nAnswer: m**(303\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2 + 6. Suppose -o - 6 = 2*g, -t*g - o - 4*o - 18 = 0. Sort 3, g, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*x + 15 = -6*x, 5*x + 30 = 5*w. Solve 5*v = 5*t + 15, 0*t + 7 = -w*v - 5*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2191878 and 1368.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154029 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + a + 1. Suppose -2*s - 3 = -11. Suppose -s*i + 5*n - 3 = 0, -2*i - 2 = -5*n + 3*n. Is 3 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p + 3. Let j(s) = 6*s + 16. Let y be j(8). Suppose 0*v + 3*i - 260 = -4*v, -v = i - y. Calculate the remainder when v is divided by d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8*a = 1680. What is the highest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*n + 126 - 115, 0 = -2*v + 3*n - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345278 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 7. Let d be x(-5). Suppose -2 - d = -k. Calculate the lowest common multiple of k and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2571 + 4269. Let c = -691 + y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1177 and 84651338?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 113.97 and 100707.\nAnswer: 100820.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18587, -36394, -54199, -72002, -89803, -107602, -125399?\nAnswer: -143194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14517 is divided by 632.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4095?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1300) + 1)*-1 - sqrt(1300)) + sqrt(1300))*3 - (-1 + sqrt(1300) + (2 + sqrt(1300) + sqrt(1300) - sqrt(1300)) + -3))**2.\nAnswer: 100*sqrt(13) + 32501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3\/4)\/((-9)\/(-60))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 287479101 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1066, -2162, -3258?\n\"Answer: -1096*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -213, 5, 1\/2015, 1\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**2 + 4. Let p(z) = -z. Determine h(p(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -52 - (2 - (-12 + 12))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 10232*r + 0.\nAnswer: -10232*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 768.71 - 762. Let q = 1.01 - a. Let m = 24.3 + q. Round m to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/10)\/(-1*(-6)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.50000092 - 14.5. Round x to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t + 10. Let n(z) = -1 + 2 + 0 - 1314*z**2 - z + 1313*z**2. Determine m(w) + 3*n(w).\nAnswer: -2*w**2 + w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27*p**2 - p + 3. Suppose 136 = 613*o - 477. Let b(j) = j**2 + 1. Calculate o*g(a) - 4*b(a).\nAnswer: 23*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13281?\nAnswer: 3, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**11\/27720 + u**7\/1260 - u**4\/6 - u**2. Let b(d) be the second derivative of z(d). Find the third derivative of b(y) wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/183570 and 117\/685328.\nAnswer: 10279920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 5, -4.\nAnswer: -4, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 6*p + 1. Let z be f(-6). Suppose 2*d - 19 - z = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189132971.\nAnswer: 189132971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 + -9 + 7. Sort i, -2, 3, -4 in descending order.\nAnswer: 3, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 + y + 84. Calculate u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 980016?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 + m - 4. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/4)\/b)\/b)\/(b*b\/(b*(b**(-2\/11)*b*b)\/b*b*b)) assuming b is positive.\nAnswer: b**(-63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7171 is divided by 723?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 11) + -9 + 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 102. What is the remainder when 415 is divided by c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*f**2 + 6*f - f**4 + 76*f**2 - f**4 - 6 in the form s*f**4 + y + p*f**3 + o*f + h*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133524 + -133518.99955. Let d = i + -5. Round d to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/25 and -4\/505.\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*p - 5*x, -6 = 4*x + 10. Solve 5 = -l, p*r - 5*l - 21 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/1165481 + 28490183225\/20978658. Let o = n - 1357. What is the common denominator of o and -39\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -0.9. Let x = 0.13598 + 1.46622. Let i = x + y. What is i rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (42\/(-4))\/(101\/(-5858))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32661296 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-2)*((-18)\/(-4))\/((-19530)\/(-3472)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*t = 2*k - 150, 10 = 5*t. Suppose -4*g = -4*p - 144, -4*g - p + 120 = p. Calculate the greatest common factor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(3*l**2 + 0*l**2 - 5*l**2) + (-l**2 - 4*l**2 + 0*l**2)*(3 - 2 - 3) + (-l - l + 0*l)*(0*l + 3*l + l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624418 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 950901304 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 181, 222, 259, 292?\n\"Answer: -2*q**2 + 51*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millisecond in microseconds?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.07 in 2\/3, 1.6, -1, 58?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -33*u + 258. Let n(p) = -17*p + 130. Determine 7*n(i) - 4*s(i).\nAnswer: 13*i - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 5*g - 5. Let y be w(1). Let d(q) = 2*q - 15. Let z be d(14). Solve -3*b - u = -7*b + 1, -2*u - z = y*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwhxmwcwwhxmhhhw. Give prob of sequence hmhw.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, c: 4}. Give prob of sequence ccq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1150 - -1215. Calculate the greatest common factor of b and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 14381 (c) -2 (d) -11 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*h + 3*v, 9 = -5*v - 11. Calculate the remainder when h is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180328 - 121470. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22*z + 6. Let l = -266 + 271. Let d(m) = -7*m - 2. Let o = 51 - 35. Determine l*t(n) + o*d(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**3 - 1)*(3 - 3 + 3) - l**3 + 22 - 22 + 766*l**3 - 8600*l + 8600*l.\nAnswer: 768*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -1278\/59?\nAnswer: -1278\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 + 2*f - 4. Let v be w(-6). Let u = v - -7. Suppose q + u = 2*y, 27 + 18 = 3*y - 3*q. What is the lowest common multiple of 5 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 + 2*q + 4. Let j(a) = 4*a**2 + 14*a - 93. Let k be j(-7). What is y(k)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 9. Suppose a*w + 2*w = 0. Suppose 0 = h + 5*z - z - 11, 3*z = -4*h - 8. Sort w, h, 2 in increasing order.\nAnswer: h, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.138 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*y**2 - 5*y**2 + 29*y**2)*(-149*y + 32612 - 32594 - 9*y) to the form p + t*y**3 + z*y + f*y**2 and give t.\nAnswer: -2054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:13 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129626857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603085040 to the power of 1\/2, to the nearest integer?\nAnswer: 67846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 1:11 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67608 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + 2*u - 9. Let a be (20\/15)\/((-14)\/18 + 1). Let q be m(a). Suppose q*s + 66 = j + 236, 3*j = -4*s + 218. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:11 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -18. Suppose -6*z = -u*z. Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/47992 and 87\/281096.\nAnswer: 1967672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 7809.559\nAnswer: 78095.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*i + 44, 0 = -x + 5*x - 4*i - 20. Suppose 4*v + 6 - 18 = 0. Suppose 9 = 3*o - 3. Solve -v*t + o = -n, 2*t = t - n + x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -5 + 65. Solve 16 + 4 = d*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 30*m - 179. Calculate w(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122335 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -289836 minus 0.4?\nAnswer: -289836.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 102*g**2 + 22*g - 4 = 0?\nAnswer: -1\/3, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 10039\nAnswer: -1\/10039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2*4 + sqrt(88))\/(sqrt(16)\/(sqrt(8)\/sqrt(4))) + (sqrt(11) - (sqrt(110) - 1*sqrt(110))\/sqrt(10) - (sqrt(33)\/sqrt(3) + -2)).\nAnswer: -7*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011849712 to six dps.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -58 + 64. Solve l - 3 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12. Suppose p = -3*f + 2*f + 11. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -4\/9 (b) 2 (c) 2\/9 (d) -4 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -133. Let u = -46 + y. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 3313353?\nAnswer: -3313400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 5) to base 12.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in 0, 25\/3, -0.17, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304303384 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 5 (b) 36 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/83, -1\/2, -2381.68?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562931 to the power of 1\/2, to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100212101 (base 3) to base 15.\nAnswer: -21e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063491085?\nAnswer: 5, 29, 14230973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvovvo. Give prob of picking 2 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9014?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 - 17 = 57*g + 218 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-40))\/(180\/225))\/((-7)\/8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/4237?\nAnswer: 3\/4237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j + 287. Let w be n(-41). Solve w = -23*o + 24*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7431 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2159\/3444 - -449\/492. Let h = -0.1 - -0.1. Which is the closest to h? (a) 17 (b) 2 (c) -5\/4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346433257057372 + 346433197412083.9999981. Let t = 59645285 + q. Let z = 3 + t. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -73*p - 59. Let t be y(-9). Is 13 a factor of ((-16)\/(-18) + (-1)\/(-9))*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9668*n**3*z**2 - 6970*n**3 - n**2 + 74919587*n*z**2 wrt n.\nAnswer: -58008*z**2 - 41820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -491*y**3 - 3*y**2 - 3*y - 4. Let i be s(-3). Suppose 0*x + x = -i. Let h = x - -18935. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a + 11. Suppose 3*q + 2 = 20. Suppose 3*c + 45 = q*c. Let i be (0\/c)\/(0 - 2). Give r(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -1, 230\/7 in decreasing order.\nAnswer: 230\/7, 17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q, -3*t - 5*q + 1008 = -6*t. Let a = 27 - t. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h + h + (2*h - h + h)*(0 - 3 - 1) to u + o*h and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from {e: 11, i: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008435587 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*k - 2*k - 5*m, 0 = k + 4*m - 76. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:55 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67335*k**3 - 11*k**2 - 16*k + 3.\nAnswer: -404010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 58910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/92680 and 79\/92680?\nAnswer: 92680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71468, 286157, 643972, 1144913?\n\"Answer: 71563*u**2 - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 22 + 53 - 7 + 140*k to the form f*k + o and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/1260 - k**6\/180 + 3*k**5\/4 - k**2. Let f(h) be the third derivative of p(h). Differentiate f(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327\/38 - 17\/2. Let v = 1181.4 + -1181. Is v <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*y = 504, 2*y + 6 = -3*i + 391. Suppose 111*t = i*t - 22912. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -791a (base 12) to base 7\nAnswer: -54052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*10\/(-3)*(-243648)\/36096\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101983167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -64065047 <= -64065048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16 = 2*o. Let x = -24 + o. Let k(z) = z**2 + 9*z + 15. Let d be k(x). Solve -5*v + d = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 - 54124*x**3 + 15314722*x**2 + 30791824*x + 15422976 = 0?\nAnswer: -1, 288, 26776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 + 48*m + 126 = 0.\nAnswer: -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837*m + 188*m - 1476 + 8787 = 1788*m. Solve 428717762\/9*f**4 + 968\/9*f + 58564\/3*f**2 + 14172488\/9*f**m + 2\/9 = 0.\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -201, -201, -203, -207?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**14\/z*z)\/(z\/(z\/(z**7\/z))*z))**(1\/3) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*1)) + sqrt(1377) + -1 + sqrt(1377)*-2)*-3 + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 160 + 265 = -4*o, -381 = -4*f - 5*o. Let x be (11 + 1)*(f\/(-15) - -6). Factor 2*s - x + 14\/5*s**2.\nAnswer: 2*(s + 1)*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.726 * -91463\nAnswer: 66402.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1013\/2 + -511. Let i = -38 - -280. What is the common denominator of o and (i\/18)\/(32\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 247*d = 249*d + 8, -2*k + 5 = -3*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1101006, 1101029, 1101054, 1101081?\n\"Answer: l**2 + 20*l + 1100985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -3*u**4\/4 - u. Let w = 9 - 5. Let q(p) = w*p**2 - 5*p**2 + 5*p**2. What is 5*q(l) + 2*t(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 + 4*s**2 - 6*s + 1. Let z = -1267 + 1268. What is h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -44862.14\nAnswer: 22431.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - -456)\/(-2*1). Let r = 340 + f. Let q = 157 - r. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (-3)\/(-6). Let q be 0 - x - -2 - 0. Suppose 0*a + 4*w = a - 5, -q*a + 15 = -2*w. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrtrrrurrrrrrrr. Give prob of picking 3 r and 1 t.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -57, -0.3?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -5*u + 2, 4*h + 4 = 2*u. Let x = -2\/93 - 29\/93. What is the biggest value in 1\/3, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - 3440\/(-400). Let q(s) = s**2 + 2*s + 1. Let h be q(-1). Put o, 1, h, -1 in decreasing order.\nAnswer: o, 1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let o be (-2)\/1*(-1)\/2. Let v be 2\/(o - -1) + -1. Let p(m) = 1 + 2*m**2 + v - 1. Determine p(n(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(1088) - (-1*sqrt(1088) - sqrt(1088)) - sqrt(1088)) + -2 - sqrt(1088)*1*-4)**2 - ((sqrt(1088) + -1 + sqrt(1088))*-1 - (sqrt(1088) + 0)*-3)).\nAnswer: -200*sqrt(17) + 39176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -106 (c) -27\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*-1)\/((-44)\/(-4400)*50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -92793063, -92793066, -92793069?\n\"Answer: -3*j - 92793060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.56724 kilograms?\nAnswer: 13567240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -9 - -10) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.439 - 0.029. Let p = -41.59 - k. Let i = 35.1 + p. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2161222 - 200.\nAnswer: -2161422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3194, -3199, -3204, -3209, -3214?\n\"Answer: -5*b - 3189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524 divided by 4?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(9\/((-27)\/30))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 23, 46 in decreasing order.\nAnswer: 46, 23, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from dpacceaeac?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b - 5*d + 14, -3*d + 6 = -3*b. Suppose b*j = -j + 15. Let m(q) = -q**3 + 5. Let v(u) = -u**3 + 8. What is j*v(i) - 8*m(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -29*s**2 + 19. Let h(m) = 29*m**2 - 28*m**2 - 16*m**2 + 17 - 8. Let i(j) = 6*b(j) - 13*h(j). Let t(a) = a**2. Give t(i(g)).\nAnswer: 441*g**4 - 126*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 28*t**2 + 15*t**2 + 7*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204224 is divided by 2695.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-742)*4*(-1981)\/(-283)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -536?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -q + 5*s - 0*s, 2*q + 5*s + 38 = 0. Let v = 13 - q. Suppose 4*l + i - 27 = v, 3*l + 2*i - 43 = 0. Solve -14 = a - 4*k + 7, a = -4*k + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 10 = 0. Solve n + 5*l = 2*l - 12, -o*n - 3*l = 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23*-1 - -2)\/(-158 + (-39269)\/(-214)).\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 959092 and 7355?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*q + 4*q + 24 = 0, -2*q - 14 = -2*t. Find the second derivative of 0*s**5 + s**5 + 0*s**5 - t*s + 9*s wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44 + 65 - 21 - 838*i + 2883*i**2 wrt i?\nAnswer: 5766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z - 2*z - 3*z)*(z**2 - 3*z**2 + z**2).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g + 32. Let w be c(-7). Let b = -38 - w. Solve p + 4*s + 10 = -0*p, b = s + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:41 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -377976?\nAnswer: 377975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j - 9. Let a be t(5). Is (410\/(-4))\/((-3)\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.71716248891 and 0.4.\nAnswer: 1.11716248891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7540*f + 41432*f + 20554*f - 3969*f.\nAnswer: 65557*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9856566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**5\/5 - 15*n**4\/4 - 213*n + 69. Find the first derivative of i(q) wrt q.\nAnswer: -4*q**3 - 45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 + -87. Let w = j + -254. Which is bigger: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-10 + -9 + 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*1\/(-3)*-3)\/3. Suppose -2*u + 12 = -2*p, 3*u + 2*p + 0*p - 8 = t. Let s(v) = 7*v + 29*v**2 - 5*v - 4 + u. Let w(r) = 2*r**2. Determine s(w(y)).\nAnswer: 116*y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -301161 divided by -3?\nAnswer: 100387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*p - 263*p + 27*p + 277*p.\nAnswer: 495*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.64812*0.2\nAnswer: 0.129624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -o + 16. Suppose g - 41 = -4*d, 3 - o = -3*g + 5*d. Find the common denominator of g\/(-2) + (-3)\/9 and 25\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(90\/(-125)))\/(-6*(-13)\/468)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16530, 65771, 147838, 262731, 410450?\nAnswer: 590995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (60\/(-9))\/((24\/18)\/(-2)). What is the third derivative of a**3 + 202*a**3 + 231*a**2 + r*a**3 + 46*a**3 wrt a?\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/9 - 487594*c\/3 + 2925568\/9 = 0.\nAnswer: -1462784, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335030260\/49 + 6838974. Let x = 1622 - r. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9242*p**2 + 5583 wrt p.\nAnswer: -18484*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/40*15\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 27. Let l be r(-6). Let j be (30\/20 + 9\/l)\/1. Which is the third smallest value? (a) j (b) 2 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 2473*b**4 + 2019396*b**3 - 528496384*b**2 - 12972277760*b - 76022808576.\nAnswer: (b - 832)**3*(b + 11)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.012 and 5.\nAnswer: 4.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 935*u - 16309. What is q(18)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 - 41?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (372 + -14)*3\/(12\/2) is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3743 + -3725. Solve -8 = c - 2*q, -d*c = -21*c + 3*q - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5722696 divided by 1.\nAnswer: 5722696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 3)\/2 - 5. Let v(s) = -6*s - 5. Let k(g) = g. Let q(l) = 4*k(l) + v(l). What is the units digit of q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3)\/(-3*4\/12). Let c(t) = t**3 + 7*t**2 + 2. Let m be c(-7). Suppose -o - 1 = -m. What is the smallest value in o, -0.02, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61\/3*t**3 + 8\/3 - 2*t - 59\/3*t**2 - 3*t**4 + 7\/3*t**5 = 0 for t.\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) + 4\/(-252)*30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let j be (-3)\/(-2)*4\/z. Solve j*y + 2 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9320*y. Let l(w) = 2*w**2 - 5858*w. Determine l(u(b)).\nAnswer: 173724800*b**2 - 54596560*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(168\/3756). Let c = o - 64\/7. Suppose -3*s + 8*s - 9 = 2*d, -3*d - 2*s = 4. What is the third biggest value in 5, 0, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4422146511 to the power of 1\/2, to the nearest integer?\nAnswer: 66499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*n - 7. Suppose -4*v = -5*a + 41, -3*v + n*a = -4*v + 11. Let d = v + 5. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/12685 + 12697\/25370. Solve 5\/2*a + 0 - w*a**3 + 2*a**2 = 0 for a.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/((-12)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.6, -8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 3 in decreasing order.\nAnswer: 3, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7692888250?\nAnswer: 2, 5, 30771553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*j = 6853 - 276 + 2558 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17461)\/(-19) + (0 - -10)?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 150 - 6 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17220 and 2478?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = -54*y - 67 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.7 - 28.59. Let k = s - 3.51. Round k to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.74 + -82.74. Let k = 114 + -35. Let z = j + k. Sort 3\/2, z, -1\/4, 0.3 in decreasing order.\nAnswer: 3\/2, 0.3, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 - 4*r + 2. Let d be m(-6). Suppose 4*u - d = -c, 4*u + 15 = -1. Is ((-12)\/(-9))\/(4\/c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 3*s + 9*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 5*w**2 + 0)*(-389*w**2 - 424*w**2 + 871*w**2) in the form r*w**4 + d + z*w + l*w**2 + x*w**3 and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 40. Let u be n + 0 + 9\/(-1). What is the tens digit of u\/(-88) - 1246\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 11*z - 15. Let a(y) = -y**2 + 3*y + 4. Let s = -36 + 14. Give s*a(c) - 6*w(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*t + j + 35, t - 16 = 4*j. Suppose -t*r + 0*r = 8. Let k(p) = -2*p**2 - 3*p - 1. What is k(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(891)*2 + (5 + (sqrt(891) - (sqrt(891) + sqrt(891) + (sqrt(891) + 0 - sqrt(891)) + sqrt(891) - sqrt(891))) - (-4 + sqrt(891)*-1)))**2.\nAnswer: 576*sqrt(11) + 57040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + -145.554. Let o = 0.53 - x. What is o rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0006?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 0.01 (c) 0.1 (d) 0.4 (e) 4 (f) 581\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24515003 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1126 - -2370. What is the remainder when w is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/((-80)\/(-128))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12679275 is divided by 214.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -71136 * -0.2\nAnswer: 14227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-12))\/((-3)\/(-6)). Does o = 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and -40.0224.\nAnswer: -5122.8672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2\/11, 7, -7, -0.4, -1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*u**3 - 13084938*u**2 - 69785760*u - 93047424.\nAnswer: -3*(u + 484622)*(3*u + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (27\/(-9))\/(18\/(-2256))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqg when three letters picked without replacement from {g: 11, h: 3, q: 1}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415 less than 0.3?\nAnswer: 2415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) - (sqrt(200) + 1 + sqrt(200) + -1)**2).\nAnswer: -800 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a)**(-1\/40)\/(a**(1\/7))**(-5\/19) assuming a is positive.\nAnswer: a**(-831\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 2*j. Suppose -3*r - j = -2*f + 5, 0 = -5*f + 2*r + 19. Solve 0*c = 4*d - c - 6, f*c = 5*d - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + t**2)*(-2771*t + 7667*t + 4179*t).\nAnswer: 9075*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 3*h. Let l be k(0). Suppose 4*c + c = l. Determine m so that -1\/2*m**3 + c*m + 0 - 1\/2*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 - 41*s**3 + 40*s + 16*s**3 + 9*s**3 - 40*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a\/(a\/(a*a\/(a**3\/a)*a))))*a**(-3\/7)*a*(a\/a**0*a)\/a*(a\/a**(1\/3))\/a*a assuming a is positive.\nAnswer: a**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*s = -261 - 233, -8 = 2*s. Let y = -168 - l. Solve -y = -5*t - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -158886 divided by 17654\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 225889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = 17. Is 4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -64.2.\nAnswer: 63.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*n**2 + 2*n + 4.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66513 is divided by 122?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1479705.6 from -0.1.\nAnswer: 1479705.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 11 - (324 - 317)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 8 = 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*f - 402*f + 138*f + 137*f - 140 + 380 in the form a + n*f and give a.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - 0. Let q = f - -68.8. Which is the nearest to -3? (a) q (b) 1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5*(-10)\/(-4). Let j = 3 + d. Solve j*y = -5*q + 25, 2*y + 5*q = y + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 64. Suppose 4*a - m - 29 = -9, 4*a = 5*m + 4. Is 14 a factor of -3 - -1 - (a + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:24 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 2 - 2 + 2*c - 6*c. Let a(b) = 3*b - 7. Let x be a(0). What is the remainder when n(x) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1999*g*u**3 + 14042652*g*u - 63756*u**4 - 8*u wrt u?\nAnswer: -11994*g*u - 765072*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeejjeeeejjeeeeje?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 2904*p + 20321. Determine v(7).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 163 = 295. Let p be -2*((-18)\/4 - -1). Let v = 10 - p. Solve -v*r - r - l = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323689.\nAnswer: 47, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801 is divided by 695.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27810 + -14243. What are the prime factors of v?\nAnswer: 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -68\/2573?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 77*i**6\/3 - 4692*i**5\/5 + 18409*i**4\/2 - 5480*i**3 + 900*i**2 - 630. Find y, given that h(y) = 0.\nAnswer: 0, 2\/11, 2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**4 - 3*d**4 + (-3 + 3 + 3*d)*(4*d**3 + d**3 + 0*d**3).\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/125 and -89\/12369975.\nAnswer: 61849875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.565593074?\nAnswer: 0.465593074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.28449417 to 3 decimal places.\nAnswer: -270.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.31, -3, -0.5, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 44. Let t be y(-6). Let j(o) = -14*o. Let h be j(-4). Calculate the highest common factor of h and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84370 (base 15) in base 9?\nAnswer: 708126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.5, -56, 461.\nAnswer: -56, -0.5, -2\/15, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -48.3?\nAnswer: -48.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -876002?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-15)\/(-4770)*(-14)\/49?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u - 125. What is g(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 475037 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/54*-23 - 8\/36. Suppose 0*s = -4*s + 8. Suppose -s*b = -b - z. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.28 + 6.3. Let l = -0.06 + 4.06. Sort k, 5, l in decreasing order.\nAnswer: 5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.05 (b) -3 (c) 12 (d) 0.06 (e) -4 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 2236?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0*m + 0*m + (4*m - 4*m - 2*m)*(-5 + 1 + 2) - m + 0*m + 4*m + 1 - 1 + 2*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1336*y + 50712. Calculate p(38).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -1.2. Let v = w + -2.1. Let h = 0.3 - 0.7. Which is the biggest value? (a) v (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -5\/3*m**4 + 2\/3*m - 5\/3*m**2 + 20\/9*m**3 + 2\/3*m**5 + 114 - 1\/9*m**6. Factor n(r).\nAnswer: -2*(r - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13045 (b) 7 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 - 2*d**2 - d - 2. Let r be a(2). Let z = 588 + -423. Let v = 177 - z. Calculate the greatest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15628 or -1555?\nAnswer: -1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 5*c - 4. Let l be q(5). Suppose f = -273 + 293. Calculate the remainder when 2 - (l - (3 - 1)) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81250690 from -121.7.\nAnswer: 81250568.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:24 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 329037 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*u - 3 + 3)*(81*u**2 + 26*u**2 - 26*u**2) + 0*u**3 + u**3 + 0*u**3 to a*u + v*u**2 + t*u**3 + p and give t.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/62829 or 0?\nAnswer: 2\/62829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3565, -3484, -3355, -3184, -2977?\n\"Answer: -p**3 + 30*p**2 - 2*p - 3592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (4 + -1) - (0 - -19 - 30 - -17).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 9 = 2*w, 19 = w + 4*w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15573984 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 28*s**3 - 240*s**2 - 448*s + 2816.\nAnswer: 4*(s - 4)**2*(s + 4)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -89. Suppose 5*g = -18 + 53. Suppose t + 0*t - g = 0. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.027432 to 2 decimal places.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7916 by 22394.\nAnswer: -3958\/11197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/60*9*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*y**4 + 21 + 56*y**4 - 23*y + 2*y**2 - 34*y**4 - 21 to the form g*y + s*y**2 + u*y**4 + x*y**3 + z and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 - 6*g**2 - 11*g - 6. Let i(n) = n**2 + n + 1. Let c(l) = -6*i(l) - m(l). What is the second derivative of c(a) wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkuukkdukkkkxkkuux. Give prob of picking 2 x.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1726904.9085 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 10. Let v(r) = -2*r - 4. Let j be v(-4). Let c be (-10)\/(-3) + (-2)\/6. Solve 2*p = -c*p + n - t, p = -2*n + j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v - 2\/5*v**4 - 8\/5*v**3 - 6\/5*v**2.\nAnswer: -2*v**2*(v + 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*p - 3 - 23, 10 = 5*k. Suppose 0 = x + 3*s + 6, 4*x - s = -6*s - 10. Suppose -p = 4*q, x - 10 = -u - 3*q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from {n: 9, w: 10}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1471*a - 13250. Calculate v(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*a + 3*a + 16 = 0, 0 = -3*g - 3*a - 12. Let u = -14\/3 - -5. What is the second biggest value in u, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(18\/162). Solve 9*a**4 + 6*a**q - 2*a**2 - a**2 + 68 - 68 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175774444?\nAnswer: 2, 103, 426637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10358 divided by -2.\nAnswer: -5179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659 = -4*a - 13*y + 1704, 0 = 5*a + 2*y + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14453 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14 + (-3372)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-1)\/6). Suppose 2*v + 2*v = -224. Let k be 60\/f*v\/10. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -c + 29369 + 38675, 5*v - 12*c - 85108 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (5 - 10 - 310)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from {o: 3, l: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 46, 13\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -675\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-15)*39\/(-15).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(7\/3))**(-46) assuming s is positive.\nAnswer: s**(-460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -742, -1728, -2640, -3478, -4242?\nAnswer: -4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1\/(-5)*(-10)\/(-6). Let x(v) = 3 - 3*v**2 - 3 + 2*v. Let n(m) = m**3 + 4*m**2 - 3*m. What is l*n(s) + 3*x(s)?\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663\/5 - -133. Which is the third biggest value? (a) -1 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = s - 5*d, -d = s - 31 - 15. Let m = 5 + -2. Let p = m - -6. Solve -s + p = 4*o + 4*a, -4*a = -o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**5\/3 + 58*y**4\/3 - 42*y**3 + 92*y**2\/3 - 16*y\/3 = 0. Calculate y.\nAnswer: 0, 1\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 4*i**2 - 2. Let z(k) = 6*k**3 + 9*k**2 - 4. Let l(h) = -82*h - 155. Let r be l(-2). Determine r*q(y) - 4*z(y).\nAnswer: 3*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = n. Let l = 3 + n. Suppose 0 = -l*d + 9 + 7. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.3459.\nAnswer: 0.06918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let s(p) = p**2 - 2*p + 2. Suppose -5*n = -3*t + 16, 0*n = n + 2. What is the remainder when s(m) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.6 - 28.5. Let r = 11 + g. Let s = r - -1.9. Which is the second biggest value? (a) 3\/5 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 - ((-2037)\/770 - -2).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 744*h**2 + 2*h + 1072*h**2 + 67*h**2 + 212*h**2 in the form x + o*h**3 + u*h**2 + w*h and give u.\nAnswer: 2095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54534.7 decades to centuries.\nAnswer: 5453.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*c = 34, 3*o + 0*c = 3*c - 12. Let t = 12 + o. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68 - -3a?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q + q)*(q**2 - q**2 + 2*q**3).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1070 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -957 = 2*u - 5*u. Suppose 0 = -a, -o - 6*a - u = -2*a. Let n = 450 + o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2452*l**4 + l - 5840.\nAnswer: -9808*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d = 3*v - 39, 0 = 5*v + 2*d - 58. Sort v, 3, 5, 2 in ascending order.\nAnswer: 2, 3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 36 = -5*f. Calculate the remainder when 17 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/22 + 5\/22. Let n = w + -19\/33. Which is the nearest to 1? (a) n (b) -2\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 8. Let r be x(-3). Let f = 127\/46 - 6\/23. Which is the second biggest value? (a) -2\/13 (b) r (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10*d + 56 = 0. Let v be 200\/(-16)*d\/(-10). Is 375 - 3*v\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*g + 3172 + 300 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11*c + 13. Calculate the remainder when o(-10) is divided by 40 - 27 - (-2 - -1 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.8, -19, -0.2, 50?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-54)\/(-2))\/1)\/(-16 + 12045\/750). Calculate the greatest common divisor of h and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*7\/(-35). Suppose p*j**2 + 1\/2*j + 0 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6699655, 13399308, 20098969, 26798644, 33498339?\nAnswer: 40198060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 1930 (c) 3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 - 10 - -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5431 or -5336?\nAnswer: -5431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 595*x**2 + 1193*x - 580. Calculate p(-597).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1554105 = 7*x + 34*x. Suppose -34*a + 13*a = -x. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367630 is divided by 863.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 4. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3 + 32*f**2 + 4*f - 32 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1521)\/(-507)*(-56)\/3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118358330 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:06 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -343. Let f = -128 - w. Suppose 2*d - 10 + 2 = 0. What is the greatest common factor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + x - 4)*(0*x - 2*x + 4*x) - 6*x + 13*x - 5*x**2 - 2 - 8*x in the form r*x + k*x**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*o + 14. Let h be o + 16\/4*-1. Is 0.2 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let t(h) = -119752140*h + 1. Give t(l(k)).\nAnswer: 239504280*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/5040 + p**5\/40 + p**4\/12 - 2*p**2. Let t(w) be the second derivative of b(w). Differentiate t(g) with respect to g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 3:41 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 12. Let z(o) = -1. Determine -n(f) - 6*z(f).\nAnswer: -f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 4*z. Suppose 4*w = z*w. Let f = w + 10. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/480)\/(((-16)\/(-100))\/((-17)\/255)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156734 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o\/o**0*o))*o)\/o))\/o*o**(-3\/2)*o*o*o**(-3)\/(o**(-3)\/o)*(o**(-2\/7)*o)**(-28)\/(o**0)**16 assuming o is positive.\nAnswer: o**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (0 + -3 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15350 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37803.3522 - -37819. Let z = o - 15.7. What is z rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8*15)\/(8\/(12 - -4)). Suppose 5*a = 3*a + 4, -m - a = -o. List the prime factors of m.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 75*k. Let f(n) = -11417*n**2. Give f(j(z)).\nAnswer: -64220625*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.095695 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 41. Let b(p) = 11*p**2. Determine b(c(s)).\nAnswer: 99*s**2 + 2706*s + 18491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 338379 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 6003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 8, n: 4, k: 4}. Give prob of sequence fo.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 - m**2 - 6*m + 11. Let i(t) = -13*t**3 + t**2 + 11*t - 21. Let n(q) = 6*i(q) + 11*s(q). Determine n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13683.\nAnswer: 3, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12625869 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*d + 24, -4*d - 51 = 2*o + 3*o. Let g be (-1)\/(-9) + 4\/d. What is the closest to 0.1 in g, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/25)*a*a))\/a*a*a**6*a*a*a**(4\/3)\/a**(-2\/19) assuming a is positive.\nAnswer: a**(12139\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. Let a = 0.3 - d. Let p = 0.1 - a. Sort -5, 1\/3, p in decreasing order.\nAnswer: 1\/3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 11*f + 6688 = 2*y, -4*f = -4*y + 5348. Let r = 2581\/2 + f. Which is greater: r or -48?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196305, -394342, -592379, -790416?\nAnswer: -988453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9106 + -5.9. What is f rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -41. Solve 4*i + 0*i = -r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eye when three letters picked without replacement from {e: 2, u: 7, y: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.1 from 0.0175.\nAnswer: -8.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*v = -27655, 34615 = -8*y + 13*y - 3*v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*h + 480, -h + 5*p = -0*h - 249. Calculate the remainder when h is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.5. Let v be (-2)\/(4\/((-8)\/(-26))). Put 0.3, v, x in descending order.\nAnswer: 0.3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 100*a**2 + 615*a - 6210.\nAnswer: -5*(a - 23)*(a - 6)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21937615 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -3393*f**6\/2 + 134*f**3\/3 - f**2\/2 + 10*f - 9349. Find the third derivative of p(y) wrt y.\nAnswer: -610740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.4235 nanograms in kilograms?\nAnswer: 0.0000000002894235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:32 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2046525 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346\/1755 + 1\/351. Which is the closest to -6? (a) 4 (b) -3 (c) o (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14220 = -20441*g + 20836*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2766898, -5534045, -8301192, -11068339, -13835486, -16602633?\n\"Answer: -2767147*c + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (-508)\/(-14). Let l = -37 - v. Let o be (-6)\/(-75)*l*1. Which is greater: o or -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:57 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*(-2580)\/(-774)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*z**2 - 212 - 113*z**2 - 2*z - 113*z**2 + 3*z.\nAnswer: 14*z**2 + z - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.064 - 0.196. Let r = -4.468 + h. Round r to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -2. Let r be 6\/m*20\/(-6). Suppose 17 - 1 = r*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20330, -40679, -61034, -81395, -101762, -122135, -142514?\n\"Answer: -3*u**2 - 20340*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 20*m**2 - 51*m - 269. Let z be a(-18). Let r(v) = -v - 1. Let t be r(-5). Let q = t + 2. Sort -4, q, z in ascending order.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-3))\/(82\/(-246)) + -188. Is h greater than or equal to -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 31*r - 7*r)*(2*r**2 + 2*r**2 + 2*r**2) + (r**2 - 4*r**2 + 4*r**2)*(2 - r - 2).\nAnswer: -187*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)*-1)\/sqrt(7) + (4 + sqrt(76) - (sqrt(19) + sqrt(171)\/sqrt(144))) + -4.\nAnswer: 19*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1\/2, -2\/13, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 69. Let b be l(0). Let i = b + 71. Suppose 2*p - 8010 = -2*w, 3*p + 0*p = i*w - 7985. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7313 and 50197.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t**3 + 11*t**2 + 10*t. Let g(c) be the first derivative of c**4\/4 - c**3\/3 - c**2\/2 - 8. Let k(j) = 22*g(j) + 2*y(j). Factor k(q).\nAnswer: 2*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847) + sqrt(847))*-3)**2 + -5 + (sqrt(14)\/sqrt(2))**2 + 5.\nAnswer: -396*sqrt(7) + 30508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9292 - s**2 - 24*s + 18593 - 9301.\nAnswer: -s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1446618*x - x**3 - 1446618*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -82) + 24 + -74 + (-3 - -2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4529, -4635, -4749, -4871, -5001?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -32*b**5 + 5*b**4 - 5*b**3 + 84*b + 5. Let g(t) = t**5 + t**4 - t**3 + t + 1. Let r(w) = 5*g(w) - m(w). Find the second derivative of r(i) wrt i.\nAnswer: 740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/10)\/((85\/17)\/10).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*t**2 + 491*t**2 - 161*t**2 - 164*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((640\/(-8))\/2)\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - k + 9 = 4, 0 = l - 2*k - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5*z**2 + 6*z + 11. Let r be (7 - 0)*(-6)\/(-7). Let m(p) = p**3 - 6*p**2 - 7*p - 12. Let l(g) = r*u(g) + 5*m(g). Let a be 1\/2*-1*0. Give l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 35 = 31*n - 35*n, -5*n = 5*t + 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37809 divided by -4201\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/990 and 1\/40?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984970.\nAnswer: 2, 5, 7, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-112)\/24)*(-18)\/40\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b*(b*(b**(1\/2)*b)\/b*b)\/b)\/(b*b*b*b**3*b*b*b*b\/(b\/((b*b*b\/(b\/(b**7*b)*b))\/b)*b*b*b)) assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n = -87*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154.651684 take away -2422?\nAnswer: 4576.651684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11481337*n*w + 58962513*n wrt w?\nAnswer: -11481337*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 11. Let h be s(-3). Let g be h*(4 + 10\/(-7)). Find the first derivative of -g + 12*w + 6*w + 21*w wrt w.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - -5060?\nAnswer: 5026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4680648, 9361064, 14041492, 18721938, 23402408, 28082908, 32763444?\nAnswer: 37444022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/16722533 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*t - 5*t + 28 = 0, 2*w + 17 = 3*t. Let m(s) = 0*s**2 - 4 - 3*s - 2*s**2 + 1 - 2*s**3. Let x(k) = -k**2 - k - 1. Give w*m(z) + 3*x(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5107 is divided by (0 - -3) + ((-216)\/396 - (-776)\/11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -230, -1.428 in ascending order.\nAnswer: -230, -1.428, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - 2*a**2)*(-a**3 - a**3 + 18*a**3 - a**3 - 1 + 1 + (-4*a**2 + 2*a**2 + a**2)*(4*a - 3*a + 0*a) - 2*a**3 + 2*a**3 - a**3).\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9*t - 4*t = 0. Solve 3*l - 3 - 9 = t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82368 and 4464.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -381. Let y = 168 - o. Calculate the remainder when 48 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*o - 5*c + 3, -16 = -4*o - 2*c. Let q = -2 + o. Suppose -5*d + q*n + 55 = 0, -3*n = -5*d + 24 + 36. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(1170\/981) + -11 + 67\/870. Sort n, 1\/2, 1.8 in decreasing order.\nAnswer: 1.8, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-90)*(-7 - -17). Let b = -11.7 - -6.7. Sort 3\/8, b, a, 0 in descending order.\nAnswer: a, 3\/8, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14851 is divided by 4937.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/3 - 1480504*v\/3 + 273986511752\/3 = 0 for v.\nAnswer: 370126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -30, 1\/3088?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30222 + -10?\nAnswer: -30232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 - -2) + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221878 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -8\/7, 5 in decreasing order.\nAnswer: 5, -1\/5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/(-256)*2\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3816 - 6*z**2 - 3816.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 0*z - 35 + z - 3*z.\nAnswer: -2*z - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/7)*v**(-11))**(-34))**(-11\/3))**(1\/3) assuming v is positive.\nAnswer: v**(-8602\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 28 - 27)*(-6 + 0 + 4).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 4*i**2 - 26*i + 69. Give g(8).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569, 1515, 2817, 4475, 6489?\nAnswer: 8859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -144, -204, -248, -270?\n\"Answer: t**3 - t**2 - 74*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 5*q)*(-6*q**2 - 9*q**2 + 2*q**2)*(-3*q - q - 2*q).\nAnswer: 78*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**3 - 9424*n**2 + 9424*n**2 + 4*n + 60*n**3. Let l(w) = 72*w**3 + 5*w. Determine 4*d(h) - 3*l(h).\nAnswer: 72*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 105 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 641*n**3 - 3*n**2 - n - 4. Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (4\/(-18) - (-4528)\/(-36)). Suppose 4*z - m = 103, f = 5*z - 6*m + 5*m. What is the third derivative of 17*j**2 - 11*j**2 + z*j**4 - 3*j**4 wrt j?\nAnswer: 552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v**2 + 0*v + (1 - 1 - 2*v)*(3 - 2*v - 3) + 2*v**2 - v**2 - 5*v**2 + 2 + 1 - 4 - 2*v**2 + 3*v - 2*v**2 - 3*v.\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g + 3. What is s(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 11 + 11. Suppose 248*j - 249*j + 399 = n. List the prime factors of j.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) - 242\/(-8). Let p(a) = -1 + 2*a**2 + a**2 - 4*a**2 - a - 11*a**3. Let o be p(-1). What is the greatest common divisor of z and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376 + 3*v**2 + 736 - 360 - 12*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13579?\nAnswer: 37, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4974.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 1 + 1)*(4 - 3 + 0)*(0 - 1 - 1 + (0 - 2 + 1)*(2 - 1 + 1)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 3. Let t(d) = -d**2 + 4*d - 3. Let f(w) = -4*c(w) - 3*t(w). Factor f(y).\nAnswer: 3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53\/21 + 18\/7. Let b(j) be the third derivative of -1\/245*j**7 - j**2 - f*j**3 + 0*j - 2\/35*j**5 - 1\/42*j**6 + 0 - 1\/14*j**4. Solve b(o) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157303 is divided by 7865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (217 - 24 - 20)*(0*g**2 + 2*g**2 + 0*g**2)*(-4*g + 2*g + 0*g)*(0*g + g + 3*g) as x*g**4 + i*g + u + b*g**3 + j*g**2 and give x.\nAnswer: -2768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 4.635, -4, 2\/13, -0.3, 52.9?\nAnswer: 4.635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19033865, -19033866, -19033867, -19033868?\nAnswer: -19033869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 8:38 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*n**2 + 29*n**2 + 32*n**2 + (0 + 0 + 2*n)*(68*n - 274*n + 107*n).\nAnswer: -175*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4*(6 + 0 + -2). Suppose -37 = -s*p - 4. Let x(a) = -a**3 + 9*a**2 + 22*a + 14. Is x(p) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 21*g - 29. Let k be i(10). Suppose 5*r - k + 41 = 0. Calculate the lowest common multiple of r and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -222. Let y = -40 + t. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*f + 5*i, -4*f - 3*i = 17 - 38 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12964 - -103.80964. What is f rounded to 0 dps?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(5\/19))**(3\/4)\/((a**(-2\/19)*a*a\/(a\/(a*a*a**(3\/7))))\/(a**(-1\/2)\/(a*a**(-1\/2)))) assuming a is positive.\nAnswer: a**(-2615\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*w = -21856 + 58328. Are w and -375 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-80)*7*1 + -5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(3*x - 3*x - 2*x**2)*(0 + 3 + 7) - 1 + 2*x**3 - 2*x**2 + 1.\nAnswer: 22*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o**6 + 1\/1785*o**7 + 0*o**3 + 0*o + 113 + 0*o**4 + 2*o**2 + 1\/2856*o**8 + 0*o**5. Find d, given that v(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54784 and 13696.\nAnswer: 54784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 748\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 20*h**2 + 37*h - 18. Let i be y(18). Solve i = x + 3*l - 0 + 5, 3*x - 4*l + 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 12*y**2 + 75*y + 128. Suppose 13*i + 54 = 22*i. Let p(o) = -9*o**3 + 47*o**2 + 300*o + 513. Let l(f) = i*p(f) - 26*h(f). Factor l(t).\nAnswer: -2*(t + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 + 4 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -224, -511, -924, -1469, -2152, -2979, -3956?\n\"Answer: -n**3 - 54*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7884*b**3 + 1872*b**3 + b**2 + 12 - 6765*b**3 - 2134*b**3 + 2325*b**3 + 125*b wrt b?\nAnswer: -75516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -95, 0.08, -2\/3, 13?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let v(w) = -4*w + 6. Let l(q) = 3*f(q) - v(q). Let z be l(8). Is 2 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(1\/(-8)*6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let z(k) = -k - 1. Let f(c) = 11*c + 3. Let b(o) = -o**3 + 11*o**2 + o - 12. Let y be b(11). Let r(w) = y*f(w) - 3*z(w). What is v(r(i))?\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + (-17 - -8 - -9). Which is smaller: 2\/173 or c?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*x - 756, -118 - 449 = -3*z + 3*x. Suppose -4*j + z + 71 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -36. Let y = 21 - w. Suppose 2*s - o - 3 + 0 = 0, -5*s + 2*o = -y. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 10*x - 19. What is d(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/7 + 7416*u\/7 - 50540 = 0.\nAnswer: 49, 1805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*z - 3, -2*c + 1 = 3*c - 2*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - c**4 - 7 - 5*c**2 + 21 - 8 to the form f*c**3 + t + k*c + y*c**4 + n*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 + 8*u - 32. Let q(n) = n**3 + 4*n**2 - 52*n + 85. Let i be q(4). What is v(i)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0.3, 0.1 in increasing order.\nAnswer: -1, 0.1, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-176)*(-55)\/((-23100)\/40).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 69 - 9. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 3. Let b(z) = 11*z - 11. Let r(l) = 5*l - 5. Let v(t) = 6*b(t) - 13*r(t). Determine 5*v(p) + 2*y(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*v - r - 1 = 200*v, v - 1 = -2*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 248d2 - 184?\nAnswer: 2474c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -5, 1.4, 6\/7, -0.3, -0.5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/17 - 120*x\/17 - 1800\/17.\nAnswer: -2*(x + 30)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*d - 190 = 0, -m = -2*d - 6 - 40. What is the remainder when 140 is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*s - 65 - 4 - 42 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -62. Let q(y) be the second derivative of 1\/36*y**4 + t*y**2 - 3*y + 0*y**3 + 0. Let q(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 smaller than 693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 10206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3155 + 5*k + 3155.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 x, and 1 e when four letters picked without replacement from {l: 7, e: 4, f: 1, x: 2, y: 3, g: 1}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -40. Suppose -7*g = -12*g + q. Solve -y + 2*t = -3*t + 16, -g*t + 4 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3 (c) -2737\/4 (d) -0.2 (e) -1 (f) -1\/105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803792678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 7*c**5 + 3*c**5 - c**4 - 10*c**5 + 10*c**5 + 14*c**5 + (-3*c**3 + 3*c**3 + 2*c**3)*(0*c + 0*c + 3*c**2).\nAnswer: 19*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46865788 is divided by 1915?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -106. Calculate the remainder when y is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7352012258 and -0.043.\nAnswer: 7352012257.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 - 3*b**3 + (-3*b + 4*b + b)*(-5 + 5 + 3*b**2) + 2*b**3 + b**3 - b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:17 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)*((z*z\/z**(4\/7))\/z*z)\/z)\/(z*z**11*z*z**10) assuming z is positive.\nAnswer: z**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2985?\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 20279 - 55061 = 0. What are the prime factors of q?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95631 and 6777.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from llqqlllqqlqq?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 3*g + 5. Let t be 10\/3*(-336)\/35. Let z be ((-4)\/8)\/((-4)\/t). Let m(c) = -5*c**2 + 4*c - 6. Calculate z*p(b) - 3*m(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33333 at least as big as 3833392\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**4\/4 - x**3\/3 + x**2 + x - 26. Let t be j(2). Calculate the greatest common divisor of 10 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 226?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = -15. Let q(u) = t + 3 - 16 + 13*u. What is the tens digit of q(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3*z)\/(z\/(z**(-2\/9)*z)))\/(z**(-2\/11))**(1\/13) assuming z is positive.\nAnswer: z**(4880\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 19*v + 15. Let o be n(-11). Let b(s) = 206*s - 103*s - o*s + 31*s**2 - 1. Let j be b(1). Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182742 minus 388?\nAnswer: 2182354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 26*g**2 - 24*g - 18. Let c be i(27). Suppose 3*z - 69 = -c. Solve 4*x = 3*r + 20, 3*x - r - 18 = z*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2169.4 times 6056?\nAnswer: -13137886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -161.66 and -13794.\nAnswer: -13955.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4 - 23 - 8*w**5 + w**2 + 1097*w**3 - 1097*w**3 - 2*w**4 wrt w?\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, k: 13}. Give prob of picking 3 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 4, 0.1, -97, 1, 1\/2, -3 in increasing order.\nAnswer: -97, -3, 0.1, 0.15, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 1 + 1)*(q**3 - 1 + 1) + (-2*q + 2*q - q**2)*(-192*q**2 - 5241*q + 191*q**2 + 5374*q).\nAnswer: 2*q**4 - 133*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 - 157. Let j be (14\/(-4))\/((-5)\/q). Let c = -2 + 3. Calculate the greatest common factor of c and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/4 + 933831*j**2\/2 - 290695052907*j\/4 + 1162660684332 = 0. Calculate j.\nAnswer: 16, 311269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q. Let h(w) be the first derivative of -1\/12*w**4 + 0*w**3 + 0*w + 3 + 1\/2*w**2. Let i(f) be the second derivative of h(f). Calculate l(i(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3222*c + 3*g + 110 = -3217*c, 25*g = -2*c + 20*g + 13 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 694 (c) 1\/274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mivkk. Give prob of picking 1 m and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 79. Let l be f(29). Suppose -17*k + 26*k = l. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12746504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -987, -1369?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 14 + 7)*(-g + g - 3*g).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 8*h - 3. Let r(n) = -2*n - 7. Let b be r(-5). Let o(l) = -l**2 - 3*l - 1. Let m be (-10)\/(-2)*16\/(-10). What is b*t(g) + m*o(g)?\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + r)*(3*r + 3*r - 8*r) + 3*r**2 - 1 + 1 - 1916 + 24*r**2 + 1916 + 4*r**2 + 0*r**2 - 2*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 146\/10 - 10\/(-25). Suppose 41 + 34 = q*a. Solve -w - 14 = a*v - 2*v, 2*w = -2*v - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 104 = 4*f - 5*l, l = -3*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13596*k. Let m(r) = 2*r + 92. Determine m(o(s)).\nAnswer: -27192*s + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -9 in ascending order.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d\/(d\/(d**21\/d*d)*d))**(22\/9) assuming d is positive.\nAnswer: d**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5457 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 474525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from elellllljsellljlenee?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14913*v + 5882. Is n(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -7)\/(-1) + 39. Suppose -4015 = l*i - 22447. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*g - 10, -3*q + 4*q + 4*g - 17 = 0. Let b(i) = -5*i + 7*i + 6 - 5 - 2. Let w(l) = 4*l - 2. Determine q*w(n) + 5*b(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141104 is divided by 46894?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 9 - 23 = 1. Let c(y) = -8*y**2 - 14*y + 12. Let j(o) = o**2 + o - 1. What is s*c(p) - 10*j(p)?\nAnswer: -2*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-322)\/(-12) + -16)*6\/(-15) - -2.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25278 and 1886658?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-62)\/36)\/(-31))\/(1\/(-2))*(-26)\/78?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9691 by 4.\nAnswer: -9691\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32882 divided by 41.\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.6915288\nAnswer: 0.027661152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t + 14. Let d(x) = -3*x + 9. Let a(w) = 2*w + 4. Let f be a(-4). Let q be f\/6 - 26\/(-3). Determine q*d(u) - 5*b(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w + 25. Let q(h) = 3*h + 17. Let k(a) = -4*a - 31. Let m(x) = -3*k(x) - 5*q(x). Give 7*m(f) - 2*s(f).\nAnswer: -f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342480 is divided by 171201?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -45\/2*x**2 - 49 - 38*x. Find the first derivative of n(w) wrt w.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/12 (b) 1 (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 11. Let c be n(-14). Suppose 0 = c*w + 2*w - 480. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 2 + 5*c**2 + 3*c + 0 + 7. Let g(p) = p**3 + 3*p**2 + 2*p + 3. Let u(k) = 3*d(k) - 5*g(k). What is the second derivative of u(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4383399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 204. Let c = r + -51. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/10)\/((-4)\/(-20) - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3168 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2*-1)*-23. Suppose -4*q - 3*i = -7, 4*q + q - a = i. Suppose -2*k - d = 4*d + 21, -k + 27 = -5*d. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/203?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 4 = -8*j. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -176121.1521 to the nearest 10.\nAnswer: -176120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/7)\/v)**43\/((v**(-10)*v)\/v**(-7)))**(-26))**(-3\/8) assuming v is positive.\nAnswer: v**(-14547\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzzztzzzzzzzzjzgzjt. Give prob of sequence gttt.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -75 times 5490272\nAnswer: -411770400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/((-224)\/(-336))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/105 - 2*a**5\/35 - 2*a**4\/21 + a. Factor z(b).\nAnswer: -2*b**2*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65432328 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -11\/5*k**2 + 1\/30*k**4 + 43\/30*k**3 + 27*k + 0. Let t(v) = 0. Calculate v.\nAnswer: -22, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 29*d - 229. Let w be b(8). Solve -h + 5 = 0, 5*h + 2 - 24 = w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/261 + -10301\/5220. What is the common denominator of 69\/14 and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17433625799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -482 divided by 3\nAnswer: -482\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o + 2*t, -o + 5*t + 12 = -6. Let d(q) = q**3 - 13*q**2 - 115*q - 11. Let f be d(-6). Sort o, 5, f in decreasing order.\nAnswer: 5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 33*h**4\/8 - 3425*h**3\/8 - 367*h**2\/4 + 78*h = 0.\nAnswer: -6\/11, 0, 1\/3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.026.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*q - 42 - 217 + 59 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -36*m. Calculate n(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316819 - 201889 = 33*t - 367134. Calculate the highest common factor of t and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2150.5742 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, 2 in descending order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261.5 + 267.5. What is the second smallest value in -3\/7, 0.1, 5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + -10.17. Let s = g + 4. Let c = 3 + s. Is 0.1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*h + 36, 4*h = -5*f + f + 40. Let s = 18 - f. What is the greatest common divisor of s and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 15*v**2 + 24)*(2*v + 3*v - 7*v) + 18*v**3 + 15*v**3 + 48*v**3 to z*v**3 + x + l*v + n*v**2 and give z.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32502095 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142\/3 - 47. Let o = -1.2309 + 0.1179. Let c = o + 5.113. What is the closest to 1 in c, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18.28055 kilometers?\nAnswer: 18280550","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.334, 2\/3, -29, 2, 26?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgq when three letters picked without replacement from egcneeecnqeencgfef.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f - 2133 = -1485 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivt. Give prob of picking 1 i and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lym. What is prob of sequence ly?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(524\/8))\/(((-7)\/(-12))\/(13916\/15904)).\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*j - 4, 3*l + 6 = 5*l + j. Let v(w) = -14*w**2 - 3 + 10*w**l + w**3 + 3*w + 10*w**2. What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 16*v + 15 = 20*v, 3*f + v = 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 112\/3. Let o be 1 + 0 - (-80)\/(-154). Let n = 4\/7 - o. What is the second smallest value in n, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-19 + 63) - ((-1 - -2) + 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -105. Suppose -o*r + 564 = -1281. Calculate the highest common factor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 3*l - 1\/6*l**3 + 2 + 43*l**2. Find the first derivative of w(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -213*b**5\/5 + 925*b**4\/24 + b**2 + 19*b. Find the second derivative of s(v) wrt v.\nAnswer: -5112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2. Let m(i) = -37973813*i**2 - 2*i. Determine m(h(r)).\nAnswer: -341764317*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 23, -23, -2.\nAnswer: -23, -8, -2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/7 - 40*b**4\/7 - 44*b**3 - 160*b**2 - 1850*b\/7 - 1000\/7 = 0?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(8\/5))\/y)**34 assuming y is positive.\nAnswer: y**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13164405*q**4 - 2*q**2 - 17171703*q wrt q?\nAnswer: -157972860*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:59 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 2. Let w be m(2). Let o = -49 + w. Let a = o + 54. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1919 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/100 - p**4\/30 - p**3\/30 + 309*p - 3. Let b(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.26 times -0.1662?\nAnswer: -0.375612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 17*v**2 - 154*v - 2852. What is a(-17)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6 - 0. Calculate the smallest common multiple of j and 6*1 + (1 + 2 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 19. Let i = -5 - u. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*j + 20, -2*j - 3*s + 0*s - 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (21 + (-1134)\/56)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 28747972*d\/5 - 57495952\/5.\nAnswer: 2*(d - 14373988)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04316 + -0.95684. Put 2\/5, 5\/47, -2\/7, j, 1\/3 in decreasing order.\nAnswer: 2\/5, 1\/3, 5\/47, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233728 and 19184?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 250594109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = f + 5, -5*f = 11 + 14. Solve i = -2*z + 1 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -4 - (2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87932716 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**10\/(g\/((g**(3\/7)*g*g)\/g)*g*g**(-1\/3)) assuming g is positive.\nAnswer: g**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617)*3 - (sqrt(57) - 6*sqrt(6897)))\/(5*sqrt(36)\/((sqrt(24)*1)\/sqrt(2))).\nAnswer: 92*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4924 + 34466\/7. Let h = -1 + 2. Which is the closest to v? (a) -4 (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/70)\/(102\/340)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 9*u + 2189280000 = 0. What is u rounded to the nearest one million?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-21*f - 16*f - f)*(-1 + 0 - 1 - 3 + 5 - 3 - 1 + 2 - 3 + (-3 - 2 + 4)*(5 - 3 + 0) + 13 - 4 + 2 + 1 - 5 + 3) in the form i + c*f and give c.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 6. Let g(u) = 4*u**2 + 3. Let w(s) = -7*g(s) + 3*i(s). Let j(z) = z**2 + 1. Let v(c) = 4*j(c) + w(c). Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32724*o - 32706*o - 539460. Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + -2 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 6. Let o be u(-7). Let h be o\/1 + -1 + 1. Suppose j = -h + 2. Which is smaller: 8\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9475890 divided by 3?\nAnswer: 3158630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-89)\/3)\/((-8)\/144). Is (1\/2)\/((3\/b)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5a2 (base 11) to base 6.\nAnswer: 340420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 60, -34, 24, 2.\nAnswer: -34, -24, -4, 2, 24, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6961 (base 14) to base 2\nAnswer: 100011110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 20*c**2\/7 - 32*c - 512\/7.\nAnswer: 2*(c - 8)*(c + 2)*(c + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*u - 11. Let g(l) = -13*l + l**3 + 9*l**2 - 3 - l**2 + 0*l**3 + l**u. Is g(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -13, -5, 2 in decreasing order.\nAnswer: 2, -5, -13, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/267 and -15\/356?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*p**2 - 2*d**3*p - 493*d**3 + 7*d**2*p + 34467*d*p**4 + 2*p**3 - p wrt p?\nAnswer: 4*d**3 + 413604*d*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(2800)*2 + (((-4*sqrt(252))\/sqrt(9))**2 - (sqrt(28) + sqrt(84)\/(sqrt(15)\/sqrt(5)) - sqrt(28) - sqrt(28))))*6.\nAnswer: -480*sqrt(7) + 2712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131884 + -132726.448. Let r = t + 882.44552. Let f = 40 - r. Round f to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -28, 226\/7, -5, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w - 1. Let o(s) = -2*s**4 + 2*s**2 + 2. Let j(d) = 2*c(d) + o(d). What is the second derivative of j(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1911))\/((-5*sqrt(189)\/sqrt(7))\/sqrt(9)).\nAnswer: 28*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -159?\nAnswer: -63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585 (base 9) to base 7.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -19*o + 4809. Let x = -229 + o. Solve -2*b = -x*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yzyzzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1503047.999968 + -1503008. Let l = 239 - 199. Let q = l - n. Round q to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**0)\/o*o)**19)**(-3\/34)*((o\/(o\/o**(2\/3)))**(-7))**(-34) assuming o is positive.\nAnswer: o**(16013\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440 = -113*t + 114*t. Round t to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.9 and 2897510?\nAnswer: 46070409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31574400 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*u + 3. Suppose -2*n = u*n. Suppose n = 3*j - 5*j + 586. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46609, 40068, 33527, 26986?\nAnswer: 20445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3755103?\nAnswer: 3, 11, 19, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2226 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 24, -7, 4 in decreasing order.\nAnswer: 24, 5, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = 4*k - 136. Suppose n = -2*r + 2*n + k, -r + n + 169 = 0. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195 + -1364\/7. Which is the fourth biggest value? (a) -8.7 (b) -4\/5 (c) 2\/9 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -140. Let j = x + 21. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212438*v = -212439*v - 1. Suppose -4*k - 24 + 4 = 0. Sort 17, v, k, 2 in decreasing order.\nAnswer: 17, 2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46431?\nAnswer: 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 13*m**2 - 12*m - 24. Let o be j(14). Let n(x) = 3 - 24 + o*x + 4 + 7. Is 11 a factor of n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12*a**2 + 4*a**2 + 8*a**4 - 8*a + 4*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/6 - 9226983*h\/2 - 27680951\/3 = 0 for h.\nAnswer: -2, 27680951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 28*z + 19. Let p be c(-15). Let d(i) = i**2 + 9*i - 21. Let u be d(p). Let w be 18\/(3\/u)*2. Solve 5*b - 4*b = -2*m - w, 3*b = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3.91?\nAnswer: 19.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*j - 38*j + 3*j to o + a*j and give a.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 535991631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*b - 1764 + 1744 = 0, 4*m + 16 = 5*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 603 + -6885856.\nAnswer: -6885253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 56.9. Let s = -51 + p. Which is the nearest to 0.1? (a) s (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-5))\/(((-8)\/600)\/1). Let j = g + -96. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625225.\nAnswer: 5, 89, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3142 (base 8) to base 7\nAnswer: -4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284425383 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 6. Let k(j) be the second derivative of 44*j + 1\/2*j**2 + 0. Give 6*k(v) + p(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277 or -276?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2159.29813 + 317163.\nAnswer: 319322.29813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 1011.6670808\nAnswer: -1011.3670808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 7*a + 5. Let v(q) = -4*q**3 - 4*q**2 - 2*q - 2. Let f be v(-2). Suppose f = 39*t - 38*t. What is the remainder when j(-10) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.286 - -0.114. What is the nearest to -1\/4 in -1\/4, j, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 - -151. Let t = 242\/3 + m. Which is the nearest to t? (a) -2\/9 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*z + 60. Suppose -3*k = 2*n - z*n + 166, 47 = n + 4*k. Suppose -n*i - 384 = -39*i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -171*g + 379*g - 192*g - 173. Let k be j(11). Solve 3*q - 5*t = 20, -k*q - 5*t - 21 = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 157 = d, -g - 2*d + 35 = 0. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 8*h + 8. Let m(q) = 2*q - q - q**2 + 6 - 5. Let l(y) = -8*m(y) + r(y). Let n(u) = u. Give l(n(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3 + 2. Let s(c) = 4*c**3. Let t be s(w). Is 6 a factor of (14\/(-1))\/(t\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 164*c**2 - 84*c**2 - 90*c**2 + 3*c.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*(10 - 2). Suppose -t + 3*o = -2, -2*o + 24 = q*t + 2*o. Suppose -90 = t*w - 270. Calculate the greatest common factor of 54 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437237437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 98 (c) -1\/5 (d) 2\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 o when three letters picked without replacement from {t: 3, x: 4, h: 1, o: 2, v: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2496\/(-36))\/(-52))\/(-24)*14*-2.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/39)*x**24 assuming x is positive.\nAnswer: x**(937\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 397\/5. Let z = q - -9\/10. Let u = 3.4 - 3. Sort u, z, 3\/4 in ascending order.\nAnswer: u, z, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 91*j = 29*j + 2433 + 8277 for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*75\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -931\/3852 + -8\/963. Which is the nearest to 2\/3? (a) -3 (b) -1 (c) r (d) 0.63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34520 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*r - 61*r - 56*r + 3*r to q*r + y and give q.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194\/21 - -1949\/105. Let x = -898\/35 + p. Solve 0*f + 3*f**4 - 9\/7*f**5 - x*f**3 + 0 + 3\/7*f**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 - 1418240530*y + 1418240535 = 0.\nAnswer: -283648107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 364158.2 minutes in nanoseconds?\nAnswer: 21849492000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b + 15. Let u(r) = -31*r - 25. Let t(a) = 5*g(a) + 3*u(a). Let h(o) = o**2 - 204*o. Determine t(h(k)).\nAnswer: -3*k**2 + 612*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.09 (b) 2 (c) 2479 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008354 is divided by 252087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {u: 2, s: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 8*o + 4. Let k = 14 - 7. Determine v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/21)\/(24\/16*(-224)\/(-147)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 11201001?\nAnswer: -11122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 176*b**2 + 55*b + 3. Let a(j) = -176*j**2 - 66*j - 4. Give 5*a(t) + 6*n(t).\nAnswer: 176*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 10*r + 0*r**4 - 1\/20*r**5 + 0*r**3 - 5\/2*r**2 - 2\/15*r**6 + 0. Find the first derivative of s(d) wrt d.\nAnswer: -16*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-28)\/12)\/7*0)\/2. Suppose 5*m + 8*m - 182 = v. What is the remainder when 65 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-8.4.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -23. Suppose p*u - 4*s = -u + 12, 0 = s. Suppose -u*z + 3*b = -409, -71 - 161 = -2*z - 4*b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 10*h - 5715 = 0. What is the common denominator of -3 - 6\/(-4)*h\/270 and -33\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -950, -26\/21, 2\/17 in ascending order.\nAnswer: -950, -26\/21, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -50113351?\nAnswer: 50113343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 - 114. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b**2 - 427*b + 2062. Calculate z(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4384 + -6226. What are the prime factors of (-2 - 0)\/(6\/a)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 - 345. Suppose -r*v = -356 - 372. List the prime factors of v.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990659 is divided by 284.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148081131 and 6?\nAnswer: 296162262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by (-4)\/(-1) + 24 - (7 - 5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*i + 10 = 0, 104*i - 5 = 5*g + 103*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 0*b**4 - 4\/5*b**5 + 0*b - 3 - b**2 + 0*b**3. What is the second derivative of v(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -53*c**3 - 2968*c**2 - 2*c - 69. Determine p(-56).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n**2 + 521 + 486 - 991 as z*n + v*n**2 + i and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/5 - -479\/20. Calculate the common denominator of -23\/10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -7*n + 15*n. Let k(q) = q**3 - 13*q**2 - 13*q - 12. Determine k(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2764*i**3 - 5*i**2 - 20*i - 10. Let p(n) = -49751*n**3 + 89*n**2 + 356*n + 178. Determine -89*j(l) - 5*p(l).\nAnswer: 2759*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 7) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**2 - 5*u + 8*u**2 - 1 - 2*u - 2*u**3 - 17*u**2 - 2*u**4 to m*u**3 + q*u**4 + a*u + v + t*u**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 7*y. Let v be g(-7). Let d(m) = -m**3 + 28. Calculate the remainder when (115\/(-69))\/((-10)\/492) is divided by d(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 1735, 6128, 14749, 29008?\nAnswer: 50315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 - 11 = h, -4*d + 2*h + 16 = 0. Let q = -10 + 12. What is the least common multiple of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1389*y + 247. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7241612.\nAnswer: 2, 7, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 11*l**2 - 11*l + 4. Let a be m(-10). Suppose 9 = 3*x + 2*i - i, -4*x = 2*i - a. Factor -5*d**x - 11*d - 12*d - 45 - 7*d + 0*d.\nAnswer: -5*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 12*m - 18. Let k be b(-12). Suppose 0*u + u - 5*o - 3 = 0, -4*o + 3 = u. Let y be 1\/u + -1*245\/15. Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -203*s**3\/6 + s. Is a(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 64*u**2 + 8. Let z(b) = 43*b**2 + 5. Let n(l) = 5*y(l) - 8*z(l). Let v(g) = g. Determine n(v(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.91039 rounded to 1 decimal place?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1255 + 1986. Suppose -21000 = m*k - 729*k. Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -18. Suppose l = 5*f - 18*f + 221. What is the remainder when 100 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 8992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = t + o - 2, o - 98 = 4*t. Is t less than or equal to -316\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*z + 10, -5*z = s - 6*s + 110. Suppose -a = -f + 3*a - 12, -5*f + 20 = -4*a. Let d = 73 - f. What is the highest common divisor of s and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6468 and 2793.\nAnswer: 122892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -133\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -484*b**2 + 14*b + 77767?\nAnswer: -968*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y + 12 + 50*y + 4 + 8. Let f(d) = -d**2. What is q(f(l))?\nAnswer: -2*l**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126, -516, -1158, -2046, -3174?\n\"Answer: o**3 - 132*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let a(y) = y**3 + 9*y**2 - 25*y + 17. Let f(u) = a(u) + 5*z(u). Does 15 divide f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 2092?\nAnswer: 77\/2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 303116?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 148 - 8*g - 13*g - 5*g + 41*g.\nAnswer: 3*g - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 18*m + 92. Let t be p(-34). Suppose 438*o + t = 444*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 1)*(-10)\/(-10). What is the units digit of (-34 + m)*2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73373.4 milligrams in grams?\nAnswer: 73.3734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36533*f**3 - 616*f**2 + 40769*f**3 + 616*f**2.\nAnswer: 77302*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z + 148 - 271 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5610918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/30 - (-15)\/25. Which is the second biggest value? (a) o (b) 4 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -3*k, 0 = 4*j - 3 - 1. Solve -o + 2*m = -4, -10 = 2*o - 0*m + k*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhjhhhhhhoh. What is prob of sequence jhh?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -110201102?\nAnswer: -110201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-904)\/(-20) - (-168)\/(-140). Calculate the highest common factor of 1408 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -19*y**4\/4 + 61*y**3\/3 - 90. What is the third derivative of d(o) wrt o?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 51.6583?\nAnswer: -46.6583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -13, -591, -3 in descending order.\nAnswer: -3, -13, -24, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*j**2 + 6*j**2 + 5*j**2 + (-3*j**2 + 4*j**2 - 3*j**2)*(-1 + 4 - 4))*(22 - 5*j**2 - 22) as t*j + i*j**2 + w + x*j**3 + k*j**4 and give k.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4763955770*k + 2381977879*k + 2381977884*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 66*w**2 + 23*w - 401. Determine o(66).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 + -26 + 9)*(-3)\/5. Suppose 8*a = o*a + 6805. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 - 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2114)\/3926*2\/14\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -510 (base 9) to base 15\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s - 96. Let t be l(24). What is the second biggest value in t, -0.4, 5, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -10. Let j be 16 - 7 - ((-126)\/45 + 12). Which is the closest to f? (a) j (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - t**2 + 4. Suppose 0 = -5*i - 10 - 5. Let a(g) = -5*g**3 - 3*g**2 + 11. Calculate i*a(p) + 8*m(p).\nAnswer: -p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 - 96*d**2 - 7461*d\/5 + 26622\/5.\nAnswer: 3*(d - 174)*(d - 3)*(d + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 2, r: 4, y: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-648)\/318 - 12\/318?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45713, -91469, -137269, -183113, -229001?\n\"Answer: -22*g**2 - 45690*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 326, 648, 970, 1292, 1614?\n\"Answer: 322*w - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.114 less than -0.18?\nAnswer: 574.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 3*z**2 + (5 - 5 - 2)*(-3 - 2*z**2 + 3) to the form s*z**2 + g + o*z and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/3 + 7*s. Let m(z) = z**2. Give m(r(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -40 + 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2382 - 2379. Let 2\/9*p**x + 2\/3*p**5 - 10\/9*p**4 + 2\/9*p**2 + 0*p + 0 = 0. What is p?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Suppose 4*h = -3*m - 20, 3 = -m - g*h - 7. Suppose -8*i + 3*i + 305 = m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 182 (c) 1 (d) -3 (e) -0.2 (f) -105 (g) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 743431 smaller than 743391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/1*3\/6. Suppose -5*o = 5*v - 5 + h, 0 = 4*o + v + 1. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-1 + 1 + 1 + -4). Suppose m = y + y. Let h(d) = -d**2 - 3*d + 2. Let i be h(-2). Solve 4*x = s - 11, 3*x + 29 = -i*s - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-28) - 150\/35) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269918 equal to 1269789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.0546 to 1 dp.\nAnswer: 40.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13057 - 8538. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/171109 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320476 * 0.4.\nAnswer: -128190.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 20*s**2 - 21*s**2 - 70*s**2.\nAnswer: -117*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**4 + 760*x**2.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 455. Let g be p(72). Let o(x) be the third derivative of 2*x**3 + 0*x + 1\/120*x**6 + g*x**2 + 0 - 5\/12*x**4 - 2\/15*x**5. Give o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - -17.4. Let o = -15.58 + -2.72. Let u = g + o. What is the closest to 1 in -23, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 13*n**2 - 1611*n - 24719. Determine u(-15).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403387089 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 14*t + 3748. Let a be l(-54). Solve 8 = 3*b + v, -3*b = -72*v + a*v + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 218 + 62 + 86 + 70.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 (base 9) in base 11?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509*d - 347*d - 163426 + 163506 wrt d.\nAnswer: -856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/24*(-8)\/(-368)*(-268)\/(-201)\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2660 divided by -95.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/54)\/(4\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.309 + 0.691. What is the third biggest value in -2\/17, -5, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17492239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -5)*(-16 + (-2478)\/(-154)) - (-38)\/55. Factor -18\/5*q**4 + 0*q**2 - 24\/5*q**3 + 0 + 0*q - h*q**5.\nAnswer: -3*q**3*(q + 2)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 7*b - 96. Suppose -4*p + 261 = -l, 5*l - 55 = -p + 26. What is the greatest common divisor of p and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4809858 + -3342358. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/4)\/5)\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15224617.\nAnswer: 15224617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39990389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - 7*h - 5. Let p be n(-4). Let f = p + 12. Let m = 4 - -5. What is the greatest common factor of f and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/931 or 23\/15?\nAnswer: 23\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(3\/7))**(-46) assuming v is positive.\nAnswer: v**(276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -63*o**4 - 19*o + 7. Let r(d) = 1662*d**2 - 1662*d**2 + 31*d**4 - 4 + 9*d. Let x(z) = 4*h(z) + 7*r(z). What is the second derivative of x(b) wrt b?\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2311974345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 181*f**2 - 179*f**2 + 8*f**4 + 22*f**4 + (4 - 3 + 0)*(-2*f**4 - f + f).\nAnswer: 28*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -2\/5 (c) 15\/16 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 - -399. Sort -11, l, 3 in increasing order.\nAnswer: -11, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*9\/(-252)*14*23\/(-2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(4 - 1 - 0). What is the nearest to 0 in y, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -76*v - 4. Determine s(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -299*b**6\/30 + 541*b**5\/60 + 2*b**2 - 18. What is the third derivative of d(j) wrt j?\nAnswer: -7176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21860899 is divided by 1264?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/28 and 111\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 5*p + 14 = 0, 5*q - 19 = -4*p. Let x = -19 + 26. Calculate the remainder when x is divided by q\/((-13)\/(-5) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 12\/43, 138?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8503 + 25906. What are the prime factors of a?\nAnswer: 19, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 1. Let n be j(1). Suppose 0*q - n*z - 13 = -4*q, -4 = -4*q - 4*z. Factor 14*d**3 - 4*d**q - 5*d**3 - 5*d**2 + 3*d + 2*d**4 - 5*d**4.\nAnswer: -3*d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -413\/12, -368, 4 in decreasing order.\nAnswer: 4, -413\/12, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-126)*3*2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -805\/22462 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 0 - (152 - (243 + -114)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h + 1495 = -29*h - 17*h - 22*h for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 64147895?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-1*sqrt(1584).\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 6, -47, -118, -201?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8328.211 weeks?\nAnswer: 83948366.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105255546 by 33.\nAnswer: 3189562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176) + 2 - (sqrt(176) - (sqrt(176) + 1))*3)*1)**2*-4 + 0.\nAnswer: -768 - 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -719427 + 2028783959\/2820. Find the common denominator of z and 77\/480.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*c**4 - 2*c - 2 + 90*c**4 + 8*c**3 + 91*c**4 - 35*c**2 - 267*c**4 as s*c**4 + h + b*c**3 + g*c**2 + n*c and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 9}. Give prob of picking 3 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/4 + 8\/32. Suppose x - g*x = 4*r, 4*x = -2*r. Which is bigger: 2\/3 or x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5669 - -429. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 - 4*r - 179 - 2*r + 178 to the form f + d*r + j*r**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 - 0.14. Put -2, s, -1 in ascending order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*f**3 + 0 - 42*f**2 - 260\/3*f.\nAnswer: 2*f*(f - 65)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -74?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.9999 - -0.0001. Let d = -150 - -153. What is the biggest value in k, d, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*h - 53*h + 93*h + 187*h - 74*h.\nAnswer: 307*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(68) + sqrt(68) - sqrt(68)))\/(sqrt(20)\/sqrt(80) - sqrt(4)).\nAnswer: -32*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7170*i. Let s(c) = 7*c**2 - c + 3. Let h(q) = 44*q**2 - 6*q + 18. Let n(o) = -h(o) + 6*s(o). Determine f(n(l)).\nAnswer: 14340*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1531 + 1576. Solve -h*i + 48 = -33*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1\/(-2)*(-24 + (28 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/159442 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -583, 4, 277, -5 in ascending order.\nAnswer: -583, -22, -5, 4, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -970*b**2 + 239?\nAnswer: -1940*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 45*b**2 + 44*b - 46. Calculate j(-44).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-13)\/(-182)*-7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145374*x + 10*n + 64 = 145361*x, 2*x = -2*n - 8 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/15 + (-25)\/(-375)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z. Let k(t) = -9*t**2 - 1. Calculate k(a(x)).\nAnswer: -441*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -10, -1 in descending order.\nAnswer: 4, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*o - 1)*(0*o - 6*o + 5*o)*(2*o - 5*o + o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-13 - (-18 + 9 + 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7822822 (base 9) to base 16.\nAnswer: -40346f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/35 + (-25)\/7)*(-7663)\/237?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(147) + sqrt(147) + (sqrt(147) + 0 + sqrt(147) + sqrt(147))*-1 + sqrt(147) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3203583*u**2 + 17488. Let p(a) = -1099*a**2 + 6. What is 3*j(x) - 8744*p(x)?\nAnswer: -1093*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*((a\/(a\/(a*a**(-1\/9)\/a*a)))\/a)\/a)\/(a**(1\/8)*a**1))**(19\/3) assuming a is positive.\nAnswer: a**(-11267\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -5, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 - -407. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, h: 2, a: 3, g: 4, z: 5}. Give prob of sequence aqh.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -213 + 154 + 11 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -286472, -286483, -286494, -286505, -286516, -286527?\n\"Answer: -11*c - 286461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 47\/(-9) - (-6)\/27. Let c = -5 - r. Solve c = -g - 3, 13 = 5*x - g - 0*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70376\/(-19) - (21\/4 + 8\/(-32)). What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.38 + -27. Let l = -0.03 + r. Let b = 0 - l. What is b rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 8*b - 2008 + 2007 - 5*b + 3*b.\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.2 (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, -2, 2, 1, -11 in descending order.\nAnswer: 333, 2, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.3, -3, -1.5, 0.02 in descending order.\nAnswer: 2\/5, 0.02, -0.3, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 457*t + 456*t = 5, 2*p - 2*t = -22 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.191 in -0.2, 2\/5, 1\/458, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:31 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 - 3*j - 4. Let h be z(-5). Suppose 0 = 2*w - 5*s - h, 2*w - 2*s = s + 13. Let m be (1 + w\/(-6))*-6. Solve 0 = -m*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 10 - (-4060)\/(-522).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, d: 1}. Give prob of sequence pdf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -833.\nAnswer: -833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438510*r**5 - 66*r**2 + 14152095*r + 5 wrt r?\nAnswer: 8770200*r**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.77 and -10.3.\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*r - 26, c - 3*c + 4*r = -20. Solve 0 = 5*j - y - 3*y + c, 3*j + 2*y = -18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 75336*l**3 - 2713824*l**2 + 32572800*l - 130305024.\nAnswer: 2*(l - 12)**3*(l + 37704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 15. Let x be s(-6). Calculate the common denominator of 29\/6 and x\/1 + -3 - (-260)\/(-165).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 7*i - 4. Let w be f(-5). Suppose -3 = -h + 2*h, -w = 2*d + 2*h. Let r = 19 + -19.1. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 13. Let s be l(14). Let f(c) be the first derivative of -c**2\/2 + c - 1. Let n(o) = 3. Let t(u) = -4*f(u) + n(u). Calculate t(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35798601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(150)*-1)\/sqrt(3))\/sqrt(10))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 + -314. Suppose -h*x + 20 = -208. Solve 5*p - 2*p = -x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/52088 and -43\/402696?\nAnswer: 154232568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131123 (base 4) in base 13?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -42?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p - 5. Let m(a) = 5*a + 1 + 4*a - 11*a + a. Let z(v) = -k(v) - 5*m(v). Let u(n) = 2*n + 0*n - n. What is z(u(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455*b**2 + 451*b**2 - 2 + 0*b**3 - 6*b**3 to the form p + w*b**2 + y*b + g*b**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/((-14)\/(-21)). Let u(z) be the third derivative of q*z**2 + 0*z**3 + 1\/75*z**5 + 0*z - 1\/300*z**6 + 0 - 1\/60*z**4. Factor u(w).\nAnswer: -2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a + 201*a + 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -34. Solve q = -3*d + 11, -q - 5 - z = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -193*f - 5517. Let c(t) = -202*t - 5523. Let l(b) = 5*a(b) - 4*c(b). What is the derivative of l(d) wrt d?\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*n + 0 + 2 - 2 + 3*n + (-1 - 1 + 1)*(3*n + 0*n - n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5303010065.\nAnswer: 5, 23, 46113131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 0.5. Let h = -1.097 + 0.697. What is the nearest to h in 0, -12, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111032303 (base 4) to base 7\nAnswer: 2652543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 850675, 850175, 849675?\n\"Answer: -500*t + 851175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:19 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125*q**3 + q**4 - 8*q + 125*q**3 - 4*q**4 wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*v**3*z**2 - 3*v**3 + 45*v**2 + v*z**2 - 23844*v*z - 451134*v with respect to z.\nAnswer: -356*v**3*z + 2*v*z - 23844*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.764 - 0.236. What is the nearest to -1 in 41, -0.5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 10*u + 8. Let d(c) = 2*c**2 - 507 + 253 + 7*c + 2*c + 247 + 0*c. Calculate 6*d(r) + 5*n(r).\nAnswer: 2*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -3*a, 3*z - 20 = -a - 3*a. What is the second biggest value in -2\/9, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.04. Let h = 0.13 + u. Which is the smallest value? (a) h (b) -4\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + -2))**2 + sqrt(13) - (-1 + sqrt(117)).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 89\/5 - (-4 + (-114)\/(-30)). Let x = 63 + r. Let d = -4 + x. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2.16\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**2 + 24*p**2 + 29*p**2)*(2*p - 2*p - 2*p + 2) - p**3 - 1084*p - 11 + 1084*p as m*p + u + o*p**2 + b*p**3 and give o.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 10*n - 48. Let d be 12\/(2\/n*-1). Solve -7*k = -k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*z = -3*m + 171*z + 5 - 51, -179*z + 334 = 2*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2842043 by -74.\nAnswer: -2842043\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615351270 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 102\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(1088)*-6)*6.\nAnswer: 24 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*l = 25, -2*x = -5*x + 5*l + 27. Let o be 3\/12 - 2\/x. Which is the nearest to -2\/9? (a) 2 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44020691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s + 54*s = 12. Suppose -5*x + 0*x + 1 = -s*t, 2*t = -5*x + 9. Let g be 8551\/(-5) + t\/(-30)*-3. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -8) + (56 - (-2 + 15))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5824638 by -647182.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 84*z**2 + 2990*z + 10. Give v(65).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292491, 584920, 877335, 1169736, 1462123, 1754496?\nAnswer: 2046855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((7 - 8) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x**3 + 29177*x**2 - 355718*x wrt x?\nAnswer: 30*x + 58354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -32*i + 637. Let n be x(20). Let d = -4 - -4.03. Let u = d + -0.43. Which is the closest to n? (a) u (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 385?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -98. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r - 8. Let f(t) = -16*t - 12. Let u(i) = 2*f(i) - 3*k(i). Let z(w) = 51*w**3 - 9*w. Give -9*u(s) - z(s).\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:58 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z*z**(-2)))\/(z**(1\/3)\/z**(-1\/5))*(z**(-1\/5)*z*z*z**(-3\/8)\/z)\/(z\/((z\/z**(-2\/5))\/z))**21 assuming z is positive.\nAnswer: z**(-161\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13 + 2 + 76*a - 153*a - 150*a**3 + 80*a. Let t(x) = -149*x**3 + 3*x + 13. Let q(c) = 6*k(c) - 7*t(c). What is the second derivative of q(b) wrt b?\nAnswer: 858*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48658 is divided by 16076?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*l - a**2*l*y + 308*a**2*y + a*l*y - 2*a*l - 54*a*y + 2*l*y wrt a.\nAnswer: -6*a*l - 2*l*y + 616*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7649*k - 2. Let d(q) = 11*q + 46. What is h(d(l))?\nAnswer: -84139*l - 351856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -26, 156, 410, 736, 1134, 1604?\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 2. Let y be i(-2). Let g(j) = -j - 2. Let l be g(-6). Solve 8 = y*s + l*h, 0 = s + 4*s + 2*h - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 25210*g + 558971*g - 2.\nAnswer: 584181*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, -4.44, 4\/9, -2 in decreasing order.\nAnswer: 4\/9, -2\/3, -2, -4.44, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:23 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -61. Let h = -15 + r. Solve -4*x = -h*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1112549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.000008 + -12. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/110 + (-6 - (-226)\/40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 235*v - 25. Let z(m) = -938*m + 100. Let y(k) = 9*s(k) + 2*z(k). What are the prime factors of y(4)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 80*a**2. Let p(y) = 9. Let m(h) be the second derivative of h**3\/6 - 6*h**2 + 24*h. Let q(f) = 3*m(f) + 4*p(f). Calculate w(q(g)).\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:26 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 6 + -3 - (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1848.6 - -1385. What is t rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*w + (-3 + 5 - 1)*(4*w - 5*w + 3*w)*(-35 + 58 + 40).\nAnswer: 124*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (19 - 18) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4624 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -125)*(-11)\/66*18\/(-5 + 8)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -55*h - 2525. Let k be x(-46). Let b(d) = -d - 8. Let i be b(-4). Let l = i - -6. Put 1, l, k, 3 in decreasing order.\nAnswer: k, 3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a + 4*a + 30*a - 15*a.\nAnswer: 53*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2. Suppose -4*x = -n - 7, 2 = 5*n - 3*x + 20. Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 42, 54, 66, 78, 90?\n\"Answer: 12*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*i + 19, -4*i = -d - 2*d - 14. Solve -4*p - g - 4 = -4*g, 8 = -4*p + d*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-26)\/((-182)\/(-14))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - 3. Let j = m - -0.1. Let a = j - 0.2. What is the third smallest value in a, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*u - 2*g, -3*u - u + 3*g = 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5*3\/54)\/((-65)\/195))\/(1575\/756)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 76067.91 microseconds?\nAnswer: 0.000000880415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbpupubuublpbbpblb. What is prob of picking 1 r, 1 l, and 2 p?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 12. Let z be b(8). Let s = 66 - z. Suppose v = 3*y - v - 186, -4*y - 2*v + 262 = 0. Calculate the remainder when y is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-6)\/(-3)) + 3. Let q = x - -1. Let f(n) = 0*n**q + 0*n**2 + n**2 + 6*n + 3. Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*l**2 + 15*l**2 + 22*l**2 - 168*l**2 + 33*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 418120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddcddddqd?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 13*d**2 - 7*d - 94. Let l be p(14). Let i(k) = k**3 - 6*k**2 + 5*k + 1. What is i(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1595.13502 - -0.07502. Round b to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -56*h**2 + 648*h - 358. What is s(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 45. Let r = -45.02 - u. What is r rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8951571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 12*r + 38, 0 = 18*u - 19*u - r + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -3*((sqrt(72) - (sqrt(72) - sqrt(72)*-4)) + sqrt(72) - sqrt(72)))\/((sqrt(6) - sqrt(450)\/sqrt(3)) + sqrt(324)\/sqrt(6)).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*b - 332 = 217*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 43*s - 11. Let c(k) = -6*k + 2. Let v(a) = 6*c(a) + m(a). Suppose l = -4*n + 25, 5*n + 0*n = 4*l + 47. Give v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 74*n - 823. What is x(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*24\/9*-30. Find the common denominator of f\/54*39\/52 and 47\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-613 + 1237 - 605)*(10*i**2 - i**2 + i**2)*(-4 + 7 - 1)*(1 - 2 + 0).\nAnswer: -380*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38520?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -176 + (0 - -70).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26 + 0 - (-4)\/(-2). Let m be (-8)\/20*1 + 88\/20. Let b = q + m. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/52 - (-2046)\/6292?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 179?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-1)\/(-4) - -3. Solve 9*s - 4*s = 5, w*c - 2*s = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2 and (-1004)\/1360 - 4\/(-10).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -25. Let o = d - 3. Suppose -7*m + 171 = 2*m. What is the remainder when m is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.671322652 and 194.9.\nAnswer: 194.228677348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/6 + 13*g**3\/6 - 29*g**2\/6 + 5*g\/2 = 0. Calculate g.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.1, -3, -5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/8)\/v*v)\/v)\/((v\/((v**(7\/2)*v)\/v))\/v) assuming v is positive.\nAnswer: v**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20.41 * 8.236\nAnswer: -168.09676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.26 less than 9111543?\nAnswer: 9111406.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g)*g)**(-1\/10)*g**(4\/5)\/((g\/g**(-5))\/g*g) assuming g is positive.\nAnswer: g**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1\/16864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyybybyyyybyyyyby. Give prob of sequence yb.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/28*-2*(-4)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 10:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*q = -7*q + 10, -m = -2*q + 4. Let c = m - -9. Suppose c + 0 = p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-144)*(-5472)\/180?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7327 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 o when four letters picked without replacement from {h: 1, k: 4, z: 3, s: 1, v: 5, o: 4}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 - 5. Suppose -3*f = 2*g + 3*g + 2, i*f = -5*g. Differentiate -f - 2*d**4 - 2*d**2 + 2*d**2 with respect to d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Suppose a - o*x - 305 = 0, -4*x + 2*x = 2*a - 622. Suppose 0 = 5*c - 1015 - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 71*b**2 - 204*b - 176. Determine m(-68).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from onnn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17.5915 - -289478585\nAnswer: 289478567.4085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**7\/1980 + 23*d**6\/3960 + d**5\/110 + 5*d**4\/3 + 18*d. Let m(w) be the third derivative of q(w). Factor m(h).\nAnswer: 2*(h + 3)*(7*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -2, 2\/71, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g**1)**(-21\/4)\/(g**(-4)\/((g\/(g**(2\/3)\/g))\/g)*(g*g*g*g**(-1))**(-1)) assuming g is positive.\nAnswer: g**(493\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -27*o - 65\/3*o**3 - 2 + 0*o**2. Let t(l) = l. Give t(q(b)).\nAnswer: -130*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0.2. Let g = 4307\/5 - 862. Which is the third biggest value? (a) d (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 64\/(-5))\/(-8 - (-252)\/30).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855913*m - 12*m**2 - 4*m**2 + 855913*m.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbny. What is prob of sequence bnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.47839 - 0.07839. Sort -1\/6, 3, -0.2, f, 1\/3 in ascending order.\nAnswer: -0.2, -1\/6, 1\/3, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 4*h + 1)*(4*h + h - 4*h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, e: 1, s: 1, n: 1}. What is prob of sequence jn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-448)\/(-24)). Let y = a + -643\/56. Let q = y - -49\/4. What is the biggest value in -1\/7, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:48 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/(-12) + -4)*-1. Suppose -660 - 555 = -5*m. Let w = m - 4619\/19. Which is the nearest to v? (a) 0.1 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (190\/57)\/(4\/90)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100 - -101110001110?\nAnswer: 110100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*v + 36*v - 24*v)*(2*v - 5*v + 4*v) - 3*v**2 + 9*v**2 + 0*v**2 in the form r*v + p + l*v**2 and give l.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13068 and 52272.\nAnswer: 52272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 6 = -26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 565e251 + 0?\nAnswer: 565e251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24430442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 + -281. Suppose x*u - 219212 = -4*f, -2*f = -4*u - 25689 - 83917. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*a**2 - 1 + 334*a - 45*a - 40*a**2)*(1 + 2 - 7).\nAnswer: 12*a**2 - 1156*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -83128604 divided by -231556?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(204)*5 - sqrt(204))\/sqrt(12).\nAnswer: -31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 1 + 1 + (-n - 2*n + n)*(-2*n**2 + 0*n**2 + 4*n**2) - 2*n**3 + n - n + 11*n**3 - 24*n**3 + 19*n**2 + 11*n**3.\nAnswer: -10*n**3 + 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 278*c + 6700 = 1750 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + 5*i + 4. What is the units digit of n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 739 - 734. Suppose 3*d = -4*a + 4783, -w*a + 9*a + 1621 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466452 is divided by 258?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000177 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 180906601\nAnswer: -180906601.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 - -3\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 94 = 3*r - 85, -5*u = -3*r + 184. Let l(s) = -s**3 + 7*s**2 - 10*s + 14. Calculate the remainder when r is divided by l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0142? (a) -3 (b) 1 (c) 0.4 (d) 1.3 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.6667 times 49?\nAnswer: -1894.6683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o + 1. Suppose 6*i - i - 10 = 0. Let d(y) = 15 + 16 - 36 + 16*y**i - y + 6*y. Let a(p) = d(p) + 4*t(p). Give a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-10))\/((-5)\/50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 7 = -5*b, -3290*d = -106*b - 3287*d + 112 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:45 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 1170*h + 946*h + (3 - 4 - 1)*(0*h - 2*h + 0*h) + 3*h - 3*h + h - 3*h - 4*h + 5*h to g*h + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + -4*(sqrt(704) + 4)) + -1)**2 - 4*(1 + (-3*sqrt(704) + 4)**2).\nAnswer: 7536*sqrt(11) + 33821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 8*a + 14*a)*(-5*a - 12*a - 7*a)*(12*a - 8*a - 2*a).\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.27, -3\/85, -4?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/3 + 31*d**3\/3 - 325*d**2\/3 + 475*d - 750 = 0. Calculate d.\nAnswer: 5, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4*a**3 - 3*a**2 + 7*a + 0 + 3*a - 8*a in the form p*a + g*a**3 + c + o*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m\/((m\/(m\/(m*m*m**1\/m*m)))\/m)*m assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*g - 8. Let m = -10\/97 - -719\/388. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iizgizzziizpzipzgii?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144823 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6162465151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 64. Suppose -3*a + 15 = 54. Calculate the remainder when 30 is divided by o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-25)\/1725*-54\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, b: 7, m: 2}. Give prob of sequence mq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -30 - (-2 - (5 - 11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**5 + 22*g**6 - 64655*g**2 + 30957*g**2 + 31592*g**2 wrt g.\nAnswer: 2640*g**3 + 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*i**5 + i**4 + 23*i**3 + 2*i**2 - 1249676*i?\nAnswer: 840*i**3 + 12*i**2 + 138*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*s = -691*s - 72 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*t + 184*t + 293*t**2 - 544*t + 182*t.\nAnswer: 293*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a day in seconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020101 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -20775722.\nAnswer: -1\/10387861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a - 87*a**4 + 42*a**4 + 5*a**2 + 42*a**4 - 4*a**3 = 0?\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110901807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6133 + 1957 = -232*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**2 - 10 + 6*l + 19*l + 7003*l**3 - 3498*l**3 - 3500*l**3.\nAnswer: 5*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6505*i + 3378*i + 93487 = 5589*i + 250375 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, -0.4, -3, -1.\nAnswer: -3, -1, -0.4, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 246, -5, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 - 8469*x**2 + 14778*x + 4224.\nAnswer: 3*(x - 704)*(x - 2)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 5. Let l(v) = v + 1. Let w(c) = 14*c + 16. Let i(n) = -5*l(n) + w(n). Let y be (-134)\/(-10) + (-12)\/30. Determine y*u(j) - 6*i(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -368, -553, -738?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiroiiioorirrroirir. What is prob of sequence rr?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557440 a multiple of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162187 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g + 69. Calculate j(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 0*u**2 + 0*u**2)*(4*u**2 - 2*u - 6*u**2 + 4*u**2).\nAnswer: 6*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35 less than 1682017?\nAnswer: 1682013.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -613 divided by -7\nAnswer: 613\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.465172m to micrometers.\nAnswer: 6465172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 - 5*f + 5. Let g be v(4). Let w(j) = 6*j + 102. Let k be w(-12). Let i be 65\/k + g\/(-6). Solve 3*t = -t + 3*h + 3, 4*t - i*h = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.556022 - 0.556. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 9. What is u(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, -0.4, -1, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 - 2*u + 3. Let w(c) = -6*c**3 + 31*c**2 - 11*c + 16. Calculate 22*r(l) - 4*w(l).\nAnswer: 2*l**3 + 8*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 27. Which is smaller: t or -39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2883*t**4\/7 + 14237091*t**3\/7 + 17119671840*t**2\/7 - 162252460800*t = 0.\nAnswer: -77520\/31, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 26 = -2*r, -1410*r + 1409*r + 7 = l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = c - h, 0 = 20*c - 16*c - 3*h - 32 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21240 and 1980.\nAnswer: 233640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o - 48. Let m be y(7). Let k(n) be the third derivative of n**5\/20 - n**4\/2 + 13*n**3\/6 - 2*n**2. What is the units digit of k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, 181, -9, -6, 7 in ascending order.\nAnswer: -9, -6, 7, 172, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664395405 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + 5.6. Let y be 80\/102 - 4\/6. Which is the nearest to u? (a) y (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2281, 12725, 30131, 54499, 85829?\nAnswer: 124121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-95)\/(-15) - (6 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.74 in -5, 2, 3\/5, -0.2, -0.21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -114, -51, 94?\n\"Answer: 41*z**2 - 142*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-7\/4)*(r**(-13)*r)\/r*r**(-11\/3)*r\/r**(-2\/9) assuming r is positive.\nAnswer: r**(-583\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + -51. Let v = -76 - q. What is the nearest to -1 in 2, v, 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 51, 50, 49, 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27817\/6 - 4635. Which is the third biggest value? (a) 2\/13 (b) 0.2 (c) -2\/5 (d) 2 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*n - 11 = 10, 2*n = -2*z - 14. Is 30*(-2)\/8*z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75509 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 5*z**4 + 4*z**4)*(z + 2*z - 5*z).\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.3*146.\nAnswer: -1065.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*g - 20 = 3*y, 2*y - 4*g - 16 = 0. Suppose -13*h + y*h + 8684 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -5\/4*c**4 + 3\/40*c**5 + 1\/5*c**6 - c**3 + 0 + 6*c**2 + 1\/28*c**7 + 8*c. Factor u(w).\nAnswer: 3*(w - 1)**2*(w + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 1400 = -193*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + o**2 - 2*o**2)*(15 - 28 - 18) in the form v + b*o + q*o**2 and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + h + 9*h - 8*h - h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85981330 divided by -47.\nAnswer: 1829390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 14*l + 4*l. Suppose 34*w - 13188 - 16970 = l. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 796\/147 in ascending order.\nAnswer: -3, 3, 796\/147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 9*k**2 - 5*k - 5. Let u(t) be the first derivative of -t**4\/4 + 5*t**3\/3 + 3*t**2\/2 + 3*t + 9. Give -3*h(v) - 5*u(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 13*p. Let t(d) be the second derivative of -1\/55*d**5 + 1\/55*d**6 - 1\/66*d**4 + 0*d**2 + 0 + p*d**3 - 4*d. Factor t(h).\nAnswer: 2*h**2*(h - 1)*(3*h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 71680?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g + 5. Let w be a(-4). Suppose 3*c = w*c - 24. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.041 - -3.859. Let g = c - 3.1. What is the closest to g in 4, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 4. Let m be q(-6). Let d = -21518642\/19 - -1132169. Let g = d + 391. What is the biggest value in -1, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 7867*g + 7865*g - 134, 0 = -9*m - 2*g - 294 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 28372.\nAnswer: 85116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542414 and 179014?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-56)*7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -3442213 + 427013. What is i rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-15)*(126\/(-588))\/((-1)\/21).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m. Suppose -2*r = -k + 3 - 2, k + 3*r - 21 = m. Calculate the remainder when 24 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258869.\nAnswer: 13, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -14. Let t be (-3 - -1)\/(v - 0). Let a be (-48)\/12 + (1 - t). Let q(y) = -4*y - 2. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o + o**3 + o**2 - 1\/2*o**4 - 1\/2*o**5 - 1\/2.\nAnswer: -(o - 1)**2*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -9. Which is the nearest to -1? (a) n (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*p - 69 = 0, 5*c + 2*p = 11 - 56. Let s be (-1982)\/c + 10\/(-55). Suppose 0 = -11*y + 6*y + s. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 7. Let v(i) = i**2 - 6*i - 6. Let k(n) = 3*n**2 - 17*n - 17. Let j(x) = b*k(x) - 17*v(x). Let r be j(2). Solve r = -7*s + 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4137, 16487, 37045, 65811?\nAnswer: 102785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/8)\/((-1083)\/1444).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8004, -21269, -39802, -63603?\n\"Answer: -2634*k**2 - 5363*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z**5 + 1128*z**4 + 9549*z**3 - 13140*z**2 + 2436*z = 0.\nAnswer: -29, -14, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 563557 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:08 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*r**3*t + r**3 + 9*r*t + 132*t - 6 wrt r.\nAnswer: 36*r**2*t + 3*r**2 + 9*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + 2*1*sqrt(1584) + (-1 + 2*sqrt(1584) - sqrt(1584)))*2)**2.\nAnswer: -57040 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -5, -3, -19, -344 in ascending order.\nAnswer: -344, -19, -5, -3, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 30. Suppose 3*l + m = 6*l. Let d(b) = b**2 - 6*b + 1. Give d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 1\/4*n**4 + 0*n + 1\/3*n**3 + 0 + n**2 - 1\/60*n**5. What is m(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 98. Let y be o(32). Suppose y*i - 21 = 177. Calculate the greatest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/7 and 46*((-84)\/20 - -4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let h(u) be the first derivative of 4*u**3\/3 + u**2 - 2*u - 144. Let k be h(j). Solve -k*b = -0 - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*b - 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 287 - 239 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55554601 rounded to two decimal places?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(2\/(-20) - 0) + 59472\/21240. Let t(n) = 36*n + 3. Calculate t(c).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7 - 0) - (-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooofoooooo. Give prob of sequence oof.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433\/45 - 83\/9. What is the closest to -2 in 0.7, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169518.539 rounded to the nearest one hundred?\nAnswer: 169500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - 9. Let d(q) = q - 1. Let z(i) = 5*d(i) - x(i). Suppose -6*s + s + 5 = 0. Let c be s - 3 - 1 - -6. Let y(g) = g - 3. Calculate c*z(m) + 4*y(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-6)\/9)*-99*1. Which is smaller: x or -65?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 32106*g**2\/5 - 449092*g\/5.\nAnswer: -2*g*(g + 14)*(g + 16039)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 21*h**2 + 10*h - 16. Let a be i(-15). Let w = 3752 - a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + a6967?\nAnswer: a6962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 36 = -24. Solve a = -5, 0 = 2*u + 3*a - j*a - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 8 - 8)*(7514*r + 58*r**2 - 7514*r) + (-r**2 + r**2 - 2*r**2)*(3*r + 0*r - r) in the form s*r**2 + u*r + v + t*r**3 and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202332012 (base 4) in base 14?\nAnswer: 1353a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/13, 1\/3, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from bkkkgkkbkkgbkkk?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**6 + 0 + 0*w**3 - 1\/12*w**4 + 3*w**2 + 0*w**5 + 1\/48*w**8 + 0*w + 0*w**7. What is the second derivative of b(x) wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 167769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7322, 8918, 10514, 12110, 13706, 15302?\n\"Answer: 1596*z + 5726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6) - 11)*4\/(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90028428?\nAnswer: 2, 3, 7, 571, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22354657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/426 and -42\/68231?\nAnswer: 409386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43738 is divided by 14544?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - (2 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 1\/3*o**3 + 0*o**2 - 3*o + 0. Let k(g) = -4*g**2. Calculate t(k(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2\/13, 61, 1\/884, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/55866 and -57\/7946.\nAnswer: 221955618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -367.8, 1, -67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 30, 60, 110, 186, 294?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 1, n: 2, j: 4, t: 1, d: 5}. Give prob of picking 3 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 72 = -g. Suppose -4*o - 8 = -3*w - 3, -4*o - 2*w = 30. Let u(q) = -q**3 - 5*q**2 - 2*q - 6. What is the least common multiple of u(o) and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882801, 882810, 882819, 882828?\nAnswer: 882837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 23. Suppose 4*n + 44 = -t*c, n + 22 = -n - 4*c. What is the remainder when 9 is divided by -2 - (3 + n + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-18\/5)*(y**3)**(-14\/3) assuming y is positive.\nAnswer: y**(-526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.2 - 8. Let q = k + -2.9. Let g be (-1 + 3)*3\/(-6). What is the second smallest value in g, q, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-26) + 2384\/(-52). Let r = -45 - p. Let s = -293\/165 + 6\/55. Which is the closest to 1? (a) r (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.006713 to 2 dps.\nAnswer: 64.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56897465 to the nearest integer?\nAnswer: 7543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -96*p - 930. Let q be o(-15). Calculate the highest common factor of 240 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2930 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141566033 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 11*s**2 - 5*s + 1. Let a be h(-4). Let z(y) = -y**2 - 11*y - 13. Let l be z(-9). Solve 0 = a*b - 0*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 12*m**2 - 13*m + 2. Is h(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -12. Let x = f + -5. Let i = -6 + 7. Which is the smallest value? (a) i (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*-1*(-81)\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 47791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11*1)\/(257\/((-30565524)\/(-318)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(-1*sqrt(6)))\/(sqrt(12)\/(2*sqrt(3))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*t - 37825 - 21808 = -4763 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5975 - 5?\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, 1455376, 5 in decreasing order.\nAnswer: 1455376, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*i - 72 + 18, -5*t - i = -112. What is the greatest common factor of 33 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.176273595 and -0.3.\nAnswer: -0.0528820785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-181 - 47 + 22)*(-8 + 8 + 7*g).\nAnswer: 2884*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30032, -31, -21, 1 in increasing order.\nAnswer: -31, -21, 1, 30032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149, -151, -163, -191, -241, -319, -431, -583?\n\"Answer: -k**3 + k**2 + 2*k - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/13)\/i))\/(i*i**(-9)))**(-1)*(i*((i\/(i\/((i\/i**(1\/4))\/i)))\/i)\/i*i**(13\/2))**(-37\/3) assuming i is positive.\nAnswer: i**(-3879\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12314991 divided by 3\nAnswer: 4104997","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - f**2. Let p(i) = -1920*i**3 + 768*i**2. What is -768*j(w) - p(w)?\nAnswer: 384*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122756 and 8.\nAnswer: 245512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 48*m**2 - 200*m + 40. Let h be l(4). Let b(n) = n + 21. Let i(j) = 2*j + 22. Let z(s) = 5*b(s) - 4*i(s). Calculate z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -663 - -304. Let w = -5387\/15 - f. Let t = -1 + 0. Which is the second smallest value? (a) t (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.68 + 4.47. Let k = o - -0.45. Let r = 10.701 - k. What is r rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*(j**(7\/4)\/j)\/j*j*j))*(((j*j*j*j**(-9)\/j)\/j)\/j*j)\/j)\/(j\/(j**15*j)*j)**(-1\/37))**(19\/4) assuming j is positive.\nAnswer: j**(-18639\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 5*q + 4. Let i(o) = o**2 - 2*o. Let r be (-3)\/(0 - 1) + 0. Let y be i(r). Let x be j(y). Is x smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 5*t - 6, -2*d + 12 = 2*t. Let z be 1\/((d\/42)\/2). What is the remainder when z + 4 + (-1)\/1 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 91960*d - 1011554. Calculate l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3569028786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13374117 is divided by 208970?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and -106303.\nAnswer: -106303.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.373 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12819 by -81.\nAnswer: -4273\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)\/i**(2\/5))\/((i\/(i*i*i\/i**(3\/8))*i)\/(i*(i\/((i*i**(-6))\/i)*i)\/i)) assuming i is positive.\nAnswer: i**(7647\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275730*d + 1637980*d + d**2 + 1637903*d.\nAnswer: d**2 + 153*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -1\/3 (b) -1\/2 (c) -4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 22. Let o be g(9). Let i(x) = -84*x**2 + 88*x + 14. Let d(l) = 84*l**2 - 86*l - 13. Let f(h) = o*i(h) + 6*d(h). Factor f(p).\nAnswer: 4*(p - 1)*(21*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*g**3 + 74*g**3 + 67*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22607)\/(-333) - 68)*(-9 - 0). Suppose 7*j + 12 = 4*j. Put x, j, 18 in decreasing order.\nAnswer: 18, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32931245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/5, 3, 13.6.\nAnswer: 1\/5, 0.4, 3, 13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:55 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7363 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 241301 (base 5) to base 3\nAnswer: 110021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3984842?\nAnswer: 2, 23, 86627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 7}. Give prob of picking 2 h and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24\/581 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 18*a + 5. Let k be g(6). Suppose -515 = -k*h - 8995. What are the prime factors of (4\/10)\/(5 + h\/340)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710330 is divided by 117847.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146730 (base 8) to base 4.\nAnswer: 30313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + g - 2. Let f be j(4). Suppose f*l - 264 = 14*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 42\/30449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6264)\/580)\/(((-198)\/120)\/11).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 7) in base 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39866455 + 877207295\/22. Let o = i - 6608. Find the common denominator of o and 67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/20 and 107\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/102 and ((-54)\/15*1)\/(2448\/315).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(1 + 3\/(-2)). Suppose -5*z + 52 = 2*d - 0*d, -z + 8 = d. Let n(f) = 17*f + f**2 - 7*f - z*f + 0 + 1. Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 21086830*k**3 + 22232614538045*k**2 + 222327726895200*k + 555820635168000.\nAnswer: 5*(k - 2108688)**2*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -5*d, 0*d + 5*v + 28 = -d. Let w be ((0 - (5 + d))*-4)\/2. Solve -26 = -w*u - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:07 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 13*a**5\/60 - a**3\/6 - 18*a**2. What is the smallest common multiple of o(1) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -33*x**2 + 5580*x - 5521. Let w(r) = -5*r**2 + 929*r - 920. Let y(f) = 13*w(f) - 2*z(f). Factor y(b).\nAnswer: (b - 1)*(b + 918)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -885 + 887. Let k be 1 + (1 - -1) - -2. Suppose -2*g + 12 = 4*j + 4, -k*j + 4 = g. Solve -z*v + 2 + 4 = j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(833) + -2)*-1*1)**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - 246*n - 485. What is m(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 0.0074?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.006\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/17 + 124\/952\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 27*s**2 - 203*s - 25. Let h be f(-6). Let g(w) = -4*w**2 + w**3 - 4*w - w + w - 3. Determine g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-7\/6)\/n*n*n)*n)\/(n*n*n*n*n**7*n*n*n)*(n\/n**0)\/(n*n*n**(-3\/5)))**(-4\/27) assuming n is positive.\nAnswer: n**(674\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3286533 and 9.\nAnswer: 9859599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 857675.\nAnswer: -6\/857675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66143196.\nAnswer: 2, 3, 7, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -61. Let t be (148\/(-8))\/((-2)\/y). Solve 40*s = t*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/751970 and -79\/2320.\nAnswer: 6015760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofzoz. Give prob of sequence zfof.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.1466 and 1.\nAnswer: 34.1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n + 0*n)*(5 - 1 - 5) - 4*n + 5*n + 0*n + 1 - 1 + 2*n - 3*n - 2*n + n + (1 + 0 - 17*n + 4*n)*(2 + 5 - 11) to the form g + r*n and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let y(w) = w**2 + 9*w - 594. Give -18*f(r) + 2*y(r).\nAnswer: 2*r**2 - 1206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.14 - 12. Let d = j + -0.21. Let z = 0.92 + d. Round z to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - a**2 - a - 2. Let d(h) = 395*h**3 - h**2 - h - 2. Calculate c(j) - d(j).\nAnswer: -397*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -42.44. Let u = -12 - -12.55. Let z = o + u. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3*(-3)\/180.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 17*w**3\/6 + 4*w. Let f(s) = 2*s. Give n(f(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 17 = -2*o - 311, -4*n = -5*o - 735. Let m = o + 233. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2070 and 74\/55821?\nAnswer: 1674630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -4, 3, -54, -9, 70 in descending order.\nAnswer: 70, 5, 3, -2, -4, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 6677525.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 221*v. Let r(i) = 31*i**2. Give r(b(u)).\nAnswer: 1514071*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 69 - 69)*(-4*x + 4*x + 2*x) + 1 - 4*x**2 + 0*x**2 - 3 in the form b*x**2 + s*x + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -7062, -15798, -28018, -43716, -62886, -85522, -111618?\nAnswer: -141168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 83, 317, 4, 2 in descending order.\nAnswer: 317, 83, 4, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + p**2 - p**2 + (0 + 0 + 2*p)*(1 + p - 1) + p**2 + 0 + 0 + 0*p - p**2 + 0*p + 0*p**2 + 4*p**2 + 4*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -1 - (1 + -12). Let t be 6\/(-15) - (-44)\/g. Let o = -51192 - -51188. Which is the smallest value? (a) t (b) o (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:29 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*x - 7*x. Suppose 5*p = 4*z - 61, 0 = z - 3*z + p + x. Let s be (28\/6)\/(((-24)\/z)\/(-8)). What is the greatest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*h - 24 + 192, -3*c = -h + 35. Suppose -5*r + 16 = 3*o, -4*r + 5*r = o - 16. Calculate the remainder when h is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 3*c**4 - 2*c**4 + (0*c**4 + 4*c**4 - 3*c**4)*(2 + 3 - 2) - 2*c**4 - c**4 - 3*c**4.\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590425 by 5225.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q. Let j(f) = -10*f. Let a be 9\/(-24) - 407\/88. Determine a*j(p) - 6*g(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 49*f**2 - 10*f - 452. Determine d(-49).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 44.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.85703167 rounded to one decimal place?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 31*a - 33. Let t be n(-8). Let l = 152 - t. Solve -5*w - l = -11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:02 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -26.5.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -94, 33, 3, 0, 2 in decreasing order.\nAnswer: 33, 3, 2, 0, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (-14)\/4 + -5 + 3. Solve -t*g**2 - 75\/2 - 15*g = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 979869*c - 2875. Let t(y) = 10207*y - 30. Calculate -6*q(x) + 575*t(x).\nAnswer: -10189*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*y + 172*y + 187*y + 7194 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945*m**2 - 3526 - 2572*m + 10*m**3 - 1908*m + 6001 = 0. What is m?\nAnswer: -5, 1\/2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 10 - 37. Let h(o) = o**3 + 8*o**2 - 9*o + 17. Let u be h(g). Suppose 19*x - 562 = u*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Let r(k) = 4*k**2 + 39*k + 38. Let s be r(-1). Solve s*m + 0*m - 9 = u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28151, 28071, 27991?\nAnswer: 27911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2238, 8954, 20120, 35718, 55730, 80138?\n\"Answer: -3*c**3 + 2243*c**2 + 8*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, -53, -192, -381, -620, -909, -1248?\n\"Answer: -25*k**2 - 14*k + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let n(c) = 222*c**2 + 98*c + 1. Give y(n(t)).\nAnswer: -444*t**2 - 196*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620)*2 + sqrt(45))\/sqrt(9))**2 + ((sqrt(5) - (0 + sqrt(245))) + sqrt(5))*-3.\nAnswer: 15*sqrt(5) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 - 144\/14. Is 16 a factor of 48\/(-18)*o*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(-8)*-15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.226 - -0.004. Let j = c - 1.23. Let i = 35\/8 - 369\/88. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1 + 0*t - 3*t + t + t. Let r be j(-4). Solve s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -9*x + 207 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 1390, 3108, 5522, 8638, 12462, 17000?\nAnswer: 22258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3034 is divided by 217.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8963588 to the nearest integer?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11))**(-3\/8)*(o\/o**0)**(-17) assuming o is positive.\nAnswer: o**(-745\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**2 + 1965. Let s(t) = 6*t + 1. Suppose 3*o + 2 = -z, -3*z + 11 = -o - 3. Calculate o*s(a) + 5*w(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2. Let p be y(0). What is the third derivative of 8*x**p + 99*x**4 - 97*x**4 + 0*x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.1 greater than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -0.32.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 3.9. Let l = s + 2. Let x(g) = 10*g**2 - 58*g - 12. Let y be x(6). Which is the second smallest value? (a) l (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 1, m: 2, c: 4, y: 2, i: 1}. Give prob of picking 1 x and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604461 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 9. Let t(j) = j + 24. Let k(x) = -8*n(x) - 3*t(x). Let g(h) be the third derivative of 19*h**4\/24 + 3*h**2. What is k(g(s))?\nAnswer: 95*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 + 5*p + 2. Let w be u(4). Let a(q) = 6 - 3 + 0 - 2 + q. List the prime factors of a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s + 1690 = 73*s - 5*w, 4*s + 3*w + 1351 = 0. Round s to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**2 - 9*y**2 - 4*y**2 + (3*y - 3*y - y)*(-y + 4*y - 5*y)*(-19 + 6 - 4) - 3*y**2 + 3*y**2 - y**2.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2 - 8*y - 3. Let b be v(-5). Suppose 5*r = 2*r + 12. Solve 4*f - 5*f + 4*c - r = 0, -f + 3*c - b = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1748 or -12?\nAnswer: -1748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -9, 2 in decreasing order.\nAnswer: 2, -9, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 6 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p**3 - 30 + 30 + (-2*p**2 + 6*p**2 - 3*p**2)*(-p + p + 2*p) + 2*p**3 - 3 + 3 - 9*p**3 - p**3 + p**3 as l*p + w + h*p**3 + i*p**2 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -18*t + 32. Let l(k) be the second derivative of 0 - 30*k - 23\/20*k**5 + 13\/6*k**3 + 0*k**t + 0*k**4. Find the second derivative of l(f) wrt f.\nAnswer: -138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7\/2)*(g\/((g*g**(4\/7)\/g)\/g))\/g*g\/(g*g*g*g\/g**(-3)*g)*g*g\/g**6*g)**5)**(-1\/23) assuming g is positive.\nAnswer: g**(915\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -996*t - 106586. Calculate m(-107).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. What is the lowest common multiple of 1\/2 + v\/6 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 496, 2\/27, 1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (7 - 30) + -22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -503 greater than -493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(-2 + 2 - 2*i)*(2 + 6 + 6).\nAnswer: 112*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-36)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*v = 10, 3*y = -0*y + v + 10. What is the highest common factor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(243)*1 + 0 + 2)*-2 + -1 + 1)*2*5)**2.\nAnswer: 14400*sqrt(3) + 98800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 28883335232645.\nAnswer: 28883335232644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/2538855 and 5\/21.\nAnswer: 17771985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 + 3*x - 7. Let h be d(-5). Let o = 18 + h. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 4*j + 2. Does 10 divide i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*t - 29*i + 30*i, 0 = -4*t + 2*i - 8. Suppose t = -6*y + 6*y - 3*y. Suppose y - 24\/5*d - 12\/5*d**2 - 9\/5*d**4 + 6*d**3 = 0. Calculate d.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(243) + sqrt(243) + sqrt(243) + (sqrt(243) + 0 + sqrt(243) + -1 - sqrt(243))**2).\nAnswer: 27*sqrt(3) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -194, -292, -390, -488?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80600*m - 79492*m = -19944 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k + 13. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4040 is divided by 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**5 + 35 - 35 - 4*u**2 wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from bpjcpjjxtppjj?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 - 4 + 0 + 38*q**2 - 470*q + 116*q**2.\nAnswer: 181*q**2 - 470*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413736441 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25503, 25517, 25553, 25623, 25739, 25913?\nAnswer: 26157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3887*b - 4129*b + 10133 + 1061*b - 4236 + 4875 with respect to b.\nAnswer: -6955","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17110, 68356, 153766, 273340, 427078, 614980, 837046?\nAnswer: 1093276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 9*c - 9. Let d be j(-12). Let q = d - 16. Let w(z) = -z + 16. Let f be w(q). What is the highest common divisor of f and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2923*0.5\nAnswer: 1461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2. Let r(g) be the first derivative of 10*g**3\/3 - 7*g**2 - 14*g + 5. Let p(x) = -2*x**2 + 3*x + 3. Let d(h) = 14*p(h) + 3*r(h). Give d(y(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -5\/1722441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-1206)*324\/378?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -621*j**3*k**3 + 10019*j**3*k**2 + 953*j**2*k**3 - 269*j*k**2 - 9*k**3 wrt k?\nAnswer: -3726*j**3 + 5718*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (-5 + sqrt(38)\/sqrt(2) - (sqrt(304) + 3)))**2.\nAnswer: 144*sqrt(19) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10427281*b**4 + 13*b**2 + 5*b - 72047?\nAnswer: 250254744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3255 divided by -5\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 349*x**2 + 142*x - 1871. Is p(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 5*s**3 - s + 2998 + 173 - 196 + 1470.\nAnswer: 5*s**3 + 6*s**2 - s + 4445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 12 - 6. Let o(g) = g**2 + 3*g - 15. Let n be o(x). Solve 5*l = n*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -776, -1405, -2038, -2675, -3316, -3961?\n\"Answer: -2*c**2 - 619*c + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.3519427s?\nAnswer: 0.039199045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1 + -2 + (sqrt(80) - (sqrt(80) - (sqrt(80)*-2 - sqrt(80))))*-3)**2*6.\nAnswer: -960*sqrt(5) + 48024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)\/f)**11)**50)**30 assuming f is positive.\nAnswer: f**(-12375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 4*g**2 + 2*g**2)*(1 - 1 - g) + 0*g**3 + 2*g**3 - 3*g**3 + 2 - 11039*g + 11039*g - 18*g**3.\nAnswer: -17*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935308201?\nAnswer: 3, 7, 127, 157229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 120\/(-36)*(-6)\/14*(9 + -2). Solve y*a - 13 + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-143)\/(-5) + 6\/15. Factor -5*u**2 + 7 + 2*u**2 - 5 - 18*u - i.\nAnswer: -3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:41 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 19*g**2 + 2*g + 1. Let x be a(19). Suppose 2*b = -6, 4*i + 0*b = b + x. Are i and 9 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3573.1 - -10578?\nAnswer: 7004.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let r = 211 - 230. Are r and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.257928 to one decimal place.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79\/6 + 37\/2. Let p be 1\/24*3*-134. Let z = p + 151\/12. What is the common denominator of i and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5477 + -3671. Is 42 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85785.42 - -56036?\nAnswer: -29749.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 747*i**5*w - 10*i**5 - 3*i*w - 2*i + 2*w - 413 wrt i?\nAnswer: 14940*i**3*w - 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/(-160))\/(2\/(-10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186181 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/4 + s + 328. Suppose 4*c - 4*p - 20 = 0, -3*c + 0*c = 5*p - 7. Let n(t) = 6*t**3 - 4. Determine c*z(i) + n(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 12. Suppose -29 = 4*d + 3*u, d - 4*d - 4*u = 13. Let r be m(d). Let g = 184 - r. Calculate the remainder when g is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/3)\/(125\/(-2100)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/30)*o*o**(-5\/4))\/(o**(-4\/3)*o\/(o\/o**21)) assuming o is positive.\nAnswer: o**(-1133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 2*f + 3. Let j(q) = q**2 + q. Determine c(b) + 2*j(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = -8*o - 93. Let f = -9424 - -226105\/24. What is the common denominator of f and o - 0 - 119\/(-27)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906719 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 - 4*z**2 + 3*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baas when four letters picked without replacement from fbfaasfaaafffsfs.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-8)\/(-28)*4 + 258060\/161 and 24?\nAnswer: 9624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -9. Let i(d) = -d**5 - d**4 - d. Let f(o) = 34*o**5 - 2*o**4 + 5*o**2 - 2*o. Let c(p) = u*f(p) + 2*i(p). What is the third derivative of c(a) wrt a?\nAnswer: -2160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:19 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4267600 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 + 528. Let j be (-4)\/(-34) + n\/153. What is the closest to j in -6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -316303921.46.\nAnswer: 316303923.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29541986675 rounded to 3 decimal places?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 11*d - j + 4, -j + 4 = -4*d. Which is the nearest to 7? (a) 2\/9 (b) d (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-615)\/(-120) - (-20)\/(-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**3 + 5*g**2\/2 + 5. What is the second derivative of q(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -43143510.\nAnswer: -172574040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 308*t + 8872. Calculate j(-30).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/150 + 44*f**5\/75 + 629*f**4\/30 + 1156*f**3\/3 + 1996*f**2. Factor z(b).\nAnswer: 4*(b + 10)*(b + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177\/4*n**2 + 717\/8*n - 45 - 3\/8*n**3 = 0 for n.\nAnswer: -120, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 7*i**2 - 6*i - 4. Let l be y(-6). Let m be l\/(-2) + 45\/35. Let x = m - 27\/7. Which is the third smallest value? (a) -1\/5 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-39) + 230\/26. Put 3, c, -4 in ascending order.\nAnswer: -4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*l + 239039 - 60594, -5*y - 6*l = 178440. What is y rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 3 + 7*v - 13)*(7*v + 17*v - 3*v).\nAnswer: 42*v**2 - 336*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 11. Let w(b) = 1. Let i(z) = -t(z) + 4*w(z). Let c(r) = -r + 7. Calculate 13*c(d) - 6*i(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2205))**2.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 f, and 1 m when four letters picked without replacement from {s: 1, m: 5, q: 1, f: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*l**3 + 118*l**2 - 903 wrt l.\nAnswer: -105*l**2 + 236*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -2 (b) 9 (c) 302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 694\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:16 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 64*p**2 + 2*p + 1. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 8. Let j be g(8). Suppose c + 2 = j, 0 = 2*u - 2*c + c - 92. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17760818 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7711.357 and 4?\nAnswer: -30845.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (754*h - 283*h - 308*h)*(-2*h + 3*h + 2*h)*(5 + 2 - 2).\nAnswer: 2445*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1943281 + -246804.23.\nAnswer: -2190085.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3 - d + 3. Let y be 3 + -1 + (-2)\/(6\/9). Let l(r) = 2*r**2 + 2*r. Let b(s) = y*t(s) + l(s). Find the second derivative of b(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*i - 4*f, 3*i + 37 - 55 = 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112622 is divided by 18547.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-106 - 163*c - 105 + 207) to h*c + b and give h.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, 29, -5 in ascending order.\nAnswer: -5, 5, 29, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 16. Suppose 2*x - x = 5*s - d, 4*s - 24 = 3*x. Let r be (s - (-1 - -4))\/((-3)\/(-4)). Solve -2*u = -2 - r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 2*j**2 + 6*j - 4*j. Let q be b(-6). Suppose 5*a - q = -9. Calculate the highest common factor of a and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 427292.6 litres?\nAnswer: 427292600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = 26. Let y(b) = b**2 + 4*b + 4. Calculate y(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 21 = -2*l. Suppose 66 = l*m + 231. Let h = -38 - m. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 103. Suppose -2*p = 5*v + 3*p + 350, 5*p + 278 = -b*v. Let h = 78 + v. What is the remainder when 10 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84084 divided by -33?\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107217544.\nAnswer: 2, 7, 541, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aabc when four letters picked without replacement from {b: 1, a: 3, c: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-216)\/884) + -2 + 85\/(-1326)*13.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 68. Let w be s(6). Suppose w*a = 17*a - 6. Let b be a + -3 + -3 + (-255)\/(-3). What is the greatest common divisor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((-51 - 22) + 33)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141858896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213739979.\nAnswer: 12487, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*d - 36, -2*d = 484*i - 481*i - 25. Solve -5*g = -4*a + 9, a = i*g - 28 + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*m + 30 = 0, 2*s - 2*m = 24 + 6. What is the remainder when 24 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -8. Let y = -15 - -27. What is the remainder when s is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(19) + -4 - sqrt(19) - sqrt(152)\/(2*sqrt(8))) - ((0 + sqrt(2299) + -2 - (-5 + sqrt(2299)*2))**2 + 5).\nAnswer: -2341 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtfbh. What is prob of sequence tb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -118880000 to the nearest 1000000.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*n - 612*n - 625*n + 2466*n - 615*n - 8*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Suppose i = 3*v + 15 - 3, 5*v + 10 = -m. What is the highest common divisor of m and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (140011\/57)\/(5\/(-3) - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/3222369?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -249*k + 252*k + 3*k**3 + 6 - 6*k**2 - 2*k**3. Determine l(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5211 and 42460.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6659 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/3 + 586*r**4\/3 + 598*r**3 - 5338*r**2\/3 + 2960*r\/3 = 0.\nAnswer: -5, 0, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let x = p + 4. Calculate the smallest common multiple of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**16)\/((p\/(p\/p**(-9\/4))*p)\/p))**(-2\/91))**(-3\/10) assuming p is positive.\nAnswer: p**(-153\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190316 and 271516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490741717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/51*(-2 + 74\/28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.05 - -90. Let o = -0.05 - q. Put o, 2, 0.4 in increasing order.\nAnswer: o, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34920 + 69849 + 1276*u - 34908)*(-u + 2 - 3 + 2*u).\nAnswer: 1276*u**2 - 1255*u - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {o: 8, j: 1, f: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 746561589, 746561587, 746561585, 746561583?\n\"Answer: -2*d + 746561591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69 from -4144479715.\nAnswer: -4144479646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l**3 - 11*l**2 + 25*l - 2. Let z(p) be the third derivative of p**6\/15 - p**5\/10 + p**4\/2 - p**3\/6 + 19*p**2 - 3*p. Calculate -6*v(c) + 11*z(c).\nAnswer: -2*c**3 - 18*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -64*f - 3950. Calculate the remainder when 446 is divided by r(-63).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/((-627)\/44)*(-6)\/4. Suppose 18 = x*g - 0*k + 3*k, 0 = -g + 3*k - 9. Solve 5 = -g*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6*p - 81*o**3*p + o**2 + 4*o*p wrt o.\nAnswer: 120*o**3*p - 486*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078196?\nAnswer: 2, 1019549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 - 3*l**5 + (-2*l**2 + 0*l**2 + l**2)*(-2 - 2*l**3 + 2) + 1 - 1 + l**5 + 4*l**5 + 3*l**3 - 3*l**3 - 3*l**5 + 3*l**5 + l**5.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 765*m**3 - 134312*m**2 - 3060*m + 537264 = 0.\nAnswer: -2, 2, 273, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-1944)*-27)\/((-396)\/64)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5)*(-20*t - 7*t + t)*(-11 + 11 + 6*t**4).\nAnswer: 468*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211850, 423317, 634784, 846251, 1057718, 1269185?\nAnswer: 1480652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/147)\/((-6)\/(-18)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -49, -46, -43, -40?\n\"Answer: 3*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or -1\/33?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhhhjddhjjjjdjhh. Give prob of sequence hhh.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754636359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-21) + 432\/112. Solve l*j = -j - k + 16, 5*j - 20 = -k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -0.141?\nAnswer: 0.00705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*v + 14 - 24, 0 = -3*v - m + 10. Let o be -11 - (v\/(-4) + -3). Let s(h) be the third derivative of -h**4\/8 - 4*h**3\/3 + h**2. What is s(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1351, -1941, -2533, -3127?\n\"Answer: -x**2 - 587*x - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*t**2 + 5*t**5 - 5*t**5 - t**5 + 27*t**3 - 24*t - 277*t**2 wrt t.\nAnswer: -60*t**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 19. Suppose -3*g + 36 = -8*g - 2*r, 5*g = -4*r - 32. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.4, 7\/5, 0.327, -5 in ascending order.\nAnswer: -5, 2\/9, 0.327, 0.4, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.86954 and 0?\nAnswer: 1.86954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3051512?\nAnswer: 3051510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 52*g + 194668. Give j(-416).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 98, 133, 184, 257, 358, 493, 668?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4*v = 16, 450*v - 454*v = -3*x - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1.3, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 56*d + 302. Let s be w(-50). Let k = -6 - -9. Solve -x - 3*f + 7 = s*f, -k*x = -3*f - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-4 - -1) + -3. Let t = 1 - 0. Is t < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8890224*z**3 + 11498296*z wrt z.\nAnswer: 53341344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-32))\/((-72)\/21312)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**3*b)\/(b*b\/((b\/(b*b**(-4)))\/b)*b*b))\/(b**(1\/6)*b*b**(-2\/3)))**(-6) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z. Let x(i) = -480*i**2 - 19*i. Give x(k(b)).\nAnswer: -30720*b**2 - 152*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (39 - 102) - -34\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 320804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19366 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 880\/9 + -98. Which is the fourth biggest value? (a) j (b) 2\/7 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30010594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.1. Let c = 13.4 + -13. Let l = 1094\/13 - 84. What is the nearest to -0.1 in c, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-6))\/q)\/(((q\/(q*q\/q**1))\/q)\/q)*(q*q*q*q\/(q*q**3)*q)\/q**5 assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/60 and 127\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-37 + -17) - (-4 - -2 - -55)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, c: 3, q: 1, f: 4}. What is prob of picking 1 f, 1 h, and 1 q?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = -32. Let t = 48 + z. Solve 0 = -4*i + 3*v - t, 3*v - 4*v - 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 + (-435)\/27)*1. Which is the second biggest value? (a) k (b) -2\/7 (c) -0.02 (d) 5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(832) - sqrt(13)) - (sqrt(39)\/sqrt(3) + sqrt(13) + sqrt(13) + 4).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5100 is divided by 176?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/24)\/((-359)\/(-9693)).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14561 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 + 11*v - 11. Let t be m(9). Let n = 3 + t. Solve -f + 3 = -2*a, 4*a + f + 11 = -n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(19))*-2)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) - (sqrt(50)*1 - sqrt(2))) + -5 + -1.\nAnswer: -5 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-7\/2)\/p)*p\/(p\/p**(-18)))\/((p**(-1)\/p)\/p**2) assuming p is positive.\nAnswer: p**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*m - 42, 291*a - 316*a = -5*m + 262 - 142 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 2*a + 22, 5*f - 13 + 8 = 4*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 244, 226, 208, 190, 172?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6528*y**3 - 289*y. Let z(f) = -136*f**3 - 6*f. Calculate -6*u(d) + 289*z(d).\nAnswer: -136*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**7\/14 - 9*y**6\/10 - 68*y. Suppose z(k) = 0. What is k?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:53 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 114 = -5*p + p, 3*p - 78 = 4*c. Let k = -25 + p. Let w(d) = d**2 + d + 4. Is w(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z - 81*z = -39*z + 144. Calculate the highest common factor of 2874 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.8 and 1.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224613, 224084, 223555, 223026, 222497?\nAnswer: 221968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 99. Solve 3*k = k - r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 229*l**4\/3 - 49*l**3\/6 + 3*l**2\/2 + 130*l. Find the second derivative of p(v) wrt v.\nAnswer: 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -24*n - 9*n - 279. Let r = 200502 + -81804977\/408. Let t = -1\/51 - r. What is the third biggest value in n, 0, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zyyylltzzylll.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1, 227*a - 132304 = 222*a + s. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n**3 + 11*n**2 - 3*n + 8. Let x(q) = 9*q**3 - 7*q**2 + 2*q - 5. Let t(m) = 2*m + 65. Let p be t(0). Let o = p + -70. What is o*h(g) - 8*x(g)?\nAnswer: -2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5456 - 5455.836. Let a = 1791006 + -1791006.1639854. Let z = l + a. Round z to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (4 + -11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugt when three letters picked without replacement from uttg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*t**2 - 839*t + 839*t)*(0 + 0 - 1) - 40*t**2 + 34*t**2 - 134*t**2.\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(125) + -2 + sqrt(125).\nAnswer: -7 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + 17. Suppose -w + h = 2*w. What is the greatest common factor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 61. Let b = o + -29. Let p = 0.1 + 0.1. What is the nearest to p in -5, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 5. Let i = -138 - -89. Let f be -9*(i\/9 - -5). Solve 0 = f*n - o*n + 2*r - 8, -5*n + r = 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 13 + 2\/1. Let i(o) = 2*o**2 - 8. Let m be i(z). Suppose 0 = 2*g + 6, -313 = -c + 5*g + m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42 = 8. Solve 0 = 2*j + j - 4*l - i, -l = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.211 + 0.989. What is the smallest value in -4, -0.3, p, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -7*p**7\/10 + 707*p**6\/50 - 1452*p**5\/25 - 221*p**4 - 992*p**3\/5 - 384*p**2\/5 - 144*p. Suppose t(x) = 0. What is x?\nAnswer: -1, -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38474)\/6)\/(24\/9). Let j(t) = 23*t**2 - 10*t + 8. Let r be j(-10). Let z = y + r. Calculate the common denominator of 13\/5 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 8. Let u be (-6)\/(-6)*(2 - -1). Suppose -u*w + 3*z = -4*w + 40, -2*w - s*z = -65. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/16)\/((-24)\/64*-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 2. Let k be h(6). Let p(u) = 3*u**2. Let o be p(1). Let b be 0\/(1\/(o\/3)). Solve 4*n = 5*q - 17, b*n + 1 = n + k*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*g - 5*t + 1462, -5*t = g - 716. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 11*q - 12. Let n(o) = -o**2 + 2*o - 2. What is -22*n(h) + 4*y(h)?\nAnswer: 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -38061 (base 9) in base 8?\nAnswer: -61742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*f**3*z + 77*f**3 with respect to z.\nAnswer: -196*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 310, 265, 228, 205, 202, 225?\n\"Answer: b**3 - 2*b**2 - 46*b + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/33)\/(69\/(-8349))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 30 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 - -81. Suppose 34*v = 28*v + 156. Calculate the greatest common divisor of v and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i. Let q(t) = -t. Let s(g) = -b(g) - 6*q(g). Suppose 5*m - 5 = d, 14 = 2*m - 0*d + 2*d. Let r(x) = 5*x**2 - 5*x**m + 2*x**2. Give r(s(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -63, -2\/9, -16, 2 in descending order.\nAnswer: 8, 2, -2\/9, -16, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 10. Suppose 3*z - 1 = -3*f + 11, -8 = f - p*z. Suppose y = -0 + 2. Solve 3*j + y*j + 20 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 3.01. What is the fourth biggest value in -3\/5, -1\/6, 1\/5, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 35106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 322\/35 - 10 - (-751)\/120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 27. Does 8 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 380?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p**2. Let c(l) = 19*l**2. Let t(x) = 7*c(x) - 4*d(x). Let w = -2 + 1. What is t(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60700 and 25250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 110427, 441693, 993809, 1766781, 2760615, 3975317, 5410893?\n\"Answer: v**3 + 110419*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3560*m - 264422 = 331*m - 91983 + 166606 for m.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201220212 - 10002112?\nAnswer: 11121211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 502 - 302 + 53*s - 157*s + 2*s**2 = 0. Calculate s.\nAnswer: 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 2*i**5 - 28*i**5 - i**4 + i**3 + (-3*i**4 + 6*i**4 - i**4)*(-3*i - 5*i + 4*i).\nAnswer: -37*i**5 - i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g = 75*g + 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**3 + 16*r - 16*r)*(0*r + 0*r - r**2) + (2*r**3 + 2*r**3 - r**3 + (3*r**2 - r**2 - 5*r**2)*(0*r + 0*r + 5*r))*(-r**2 + 3*r**2 + 0*r**2).\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 2*u, u = -5*o - 2*u - 29. Suppose 2*y - y = 8. Let d = o + y. Solve d*a + 16 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30286 + 6354. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 21. Let d = 223 + -219. Suppose 0 = -d*p - 40 + 56. Solve w = 5*i - 3*i - 3*x + p, -5*x + 8 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*i + i, -5*x - 4*i - 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - w**4 - 2*w + 11*w**2 - 8*w**2 + 4*w**3 as j*w**4 + k*w**2 + n*w**3 + v + b*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262446181 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6955864\/133 or -52299?\nAnswer: -6955864\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - -1 - (-1 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 10*u + u = -20*d + 33, 2*d + 3*u - 9 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1534 + -1532. Solve j + q*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 308\/408. Let o = -43\/102 - s. What is the third smallest value in 0, o, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10850*i = 11505*i - 8630*i - 15105*i - 1084760 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aptpapppspaappap. What is prob of picking 3 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26410121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 4*p + 5*m - 402, -2*m - 584 = -3*p. Let x be 2\/10 + p\/70. Suppose 0*w + w + 1 = 0. Sort x, w, 2 in descending order.\nAnswer: x, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.79939 nanograms to grams.\nAnswer: 0.00000006079939","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 8054 - 80449\/10. Calculate the common denominator of d and -79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 e when three letters picked without replacement from {x: 3, o: 2, g: 4, n: 7, e: 2}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rirrfrfffrirrrrfrrr. Give prob of sequence frir.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-56))\/(5\/210*20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + 41*m**3 + 18*m + 0*m**3.\nAnswer: 41*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4104\/(-18))\/(-57)*(-18)\/8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v + 3. Let k(l) = -9*l**2 + 2*l - 2. Let t be k(1). Let d be 14*(t\/6)\/(-3) - -1. Let m(a) = 4*a + 2. Calculate d*m(p) - 5*b(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4\/7 + 108*x**3 - 2752*x**2 + 50880*x\/7 = 0.\nAnswer: -212, 0, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 2, m: 1}. Give prob of picking 1 f, 1 m, and 1 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -212 - 412. What is the smallest common multiple of c and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2799544 and 103118?\nAnswer: 131578568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-s - 2 + 2) - 7*s + 0 - 2 - 17*s + (-2 - 1 + 0)*(-3*s + 2*s - s) - s + 3 - 3.\nAnswer: -20*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 13*(-10)\/(-130)*-13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from hwhwwhwwwwhwwwwwwww.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317985 is divided by 158717?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 4 (c) 2343\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/36 and -37\/6202160?\nAnswer: 55819440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 23.\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 39*n**2 + 4*n + 162. Give k(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2 + 7 + 387*p - p + 162*p. Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.24199\nAnswer: -0.48398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 13\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001011000001 (base 2) in base 10?\nAnswer: -53953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -83, 3, 5, -2575, 7 in descending order.\nAnswer: 7, 5, 3, -2, -83, -2575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 - 6. Sort t, -4, 0.1 in increasing order.\nAnswer: -4, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g - 2. Let r(z) = -514*z - 4 + 3 + 0 + 513*z. Let x(h) = -i(h) + 5*r(h). Let u be (-4)\/(-10) - -3*(-40)\/(-75). What is x(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**4 + 7*b**3 + 6*b**2 + 442*b + 6. Let r(l) = -l**4 - 3*l**3 + l**2 - l + 1. Let u(y) = p(y) - 6*r(y). Find the second derivative of u(d) wrt d.\nAnswer: 24*d**2 + 150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527 divided by -1?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose -t*c + 7*c = 8. Suppose -3*o = -0*s - 3*s, o = -3*s + c. Which is greater: s or 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = d + 3*p, p + 1396 = 4*d + 1360 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from yeeyeefbeeeeerrfy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 201201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6029 in 0.1, 1.2, -5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.28 - 0.78. Let b = -6.6 + 5.6. Sort 4\/3, x, b, 0.2 in decreasing order.\nAnswer: 4\/3, x, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from {n: 2, y: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703286699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 1. Let v(o) = 4*o**2 + o - 2. Let b(r) = -r**2 - 5*r + 2. Let k be b(-5). Give k*v(q) + 5*u(q).\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 784*j**4 - 73*j - 8*j**3 + 0 + 2*j**2 + 6*j**3 - 785*j**4 in the form m + y*j**4 + a*j**2 + n*j + s*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**3 - 6*o - 6. Let i(q) = 2 + q**3 - 7 + 6 + q + 0. Give -6*i(d) - z(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 greater than or equal to -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 412696\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(31*w - 31*w - 3*w**2) + (2 - 2 - 2)*(w**2 + w**2 - w**2) + 0*w**2 + 3*w**2 - 2*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5350 + -5349.9. Which is the nearest to 2? (a) 45\/4 (b) 1\/4 (c) f (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71*8 + (-75 - -82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1280\/(-384))\/((-336)\/(-648)).\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57\/2 of a second?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/3 + q**2 + 5*q. Does 2 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 11*z**2 - 14*z - 17. Suppose 2371*q + 198 = 2393*q. Give n(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + 30978\/162. Factor -f**3 + 191*f - 2*f**2 - j*f - f**3.\nAnswer: -2*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 + 6*c**3 + 13*c**2 + 127. Determine s(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19832380 to the power of 1\/2, to the nearest integer?\nAnswer: 4453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -226*y**8\/21 + y**4\/24 + 973*y**3\/3 + 1300*y**2 - 2*y. What is the second derivative of l(h) wrt h?\nAnswer: -72320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 5. Let t be (1*-2)\/((-14)\/(-21)). Let j be o(t). Find the third derivative of -j*f + 7*f - 5*f**4 + 4*f**2 + 2*f**4 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 747505.1 kilograms?\nAnswer: 747505100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-756)\/(-384) - 2) + (-567118)\/(-6592).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3547 + -3547.5. What is the nearest to -0.266 in 5, w, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s + 25*s + 90*s + 2*s + 2*s - 5*s + s - 5*s + 2*s + (4 - 3 - 2)*(0*s + 4*s - 3*s) + (-2*s + 3*s + 2*s)*(3 - 3 - 1).\nAnswer: 117*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -65*l - 5 - 15*l + 0. Let h(t) = 20*t + 1. Let b(f) = -9*h(f) - 2*q(f). What is the units digit of b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 240*s + 1008 = 0 for s.\nAnswer: -84, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -40. Let s be (-1)\/(-1)*(7 - 0). Solve d = s*k - 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1411 and 72.\nAnswer: 101592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.8 - 8.936. Let l = 4.864 - z. Which is the closest to 0? (a) l (b) 0.04 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/20*-10 + 1. Let m(n) = n**2 + 4*n + 6. List the prime factors of m(s).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -50*q - 997. Calculate s(-19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (3 - -2)) - ((-124 - -68) + 55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-129)\/(-9) - 4\/(-6). Let k(n) = -13*n + 268 + 2*n**2 + 0*n - 307. List the prime factors of k(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 3142864*p\/15 - 1047622\/5.\nAnswer: 2*(p - 1571433)*(p + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4*(-154)\/11. What is the third biggest value in 2\/3, -0.5, a, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1898*f - 432*f - 177*f.\nAnswer: -2507*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.593773 nanometers?\nAnswer: 0.000593773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/31 in -2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4816860 and 4816860.\nAnswer: 4816860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 16*q**2 - 2*q + 100. Calculate the remainder when 155 is divided by g(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2301)\/(-4425) - (-8)\/(-6)*(-33)\/(-110).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 20, 18, 28, 56, 108, 190?\n\"Answer: m**3 - 3*m**2 - 6*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.632 - 7.632. Sort o, -129, -5\/16 in decreasing order.\nAnswer: o, -5\/16, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16334.17946 + 16334. What is y rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5947*r = -260787 + 261413 - 529909 for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6829192 to the nearest integer?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 + 0*d**2 - 2*d**2. Let t(s) = -17*s + 63. Let j(u) = 12*u - 45. Let r(h) = -7*j(h) - 5*t(h). Determine k(r(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*o**4\/5 - 439*o**3\/5 + 1329*o**2\/5 - 753*o\/5 + 2 = 0. What is o?\nAnswer: -5, 2\/147, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 4*l - 20)*(1 - 5 + 2)*(3*l - 6*l + 5*l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102491 is divided by 51184.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -495310 not equal to -495310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 26*y**2 + 1591*y + 15126. Determine s(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6*r = 11*r + 5, 11 = 4*o + 3*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 93086.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 6*a + 5. What is the lowest common multiple of 15 and l(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + l - 173*l**3 - 253*l**3.\nAnswer: -426*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83859.88mm in nanometers?\nAnswer: 83859880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*o - 11454 = 54*o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*n**2 + 29 - 102 - 170 - 39*n**2 - 17 with respect to n.\nAnswer: -112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 4901 = 949. Calculate the remainder when p is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 14 = -3*g. Let x = 3.3 + -0.3. Let w = -74\/161 + 4\/23. Which is the smallest value? (a) x (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 - 2 - (-7 + (-1 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 51*h**2 - 1. Let n be g(51). Which is the closest to n? (a) -2 (b) 0.8 (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000119367 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0534539*1.\nAnswer: 0.0534539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 - -0.05. Let x(o) = 6*o. Let t be x(3). Let b be 8\/36 - 7\/t. Sort 0.2, i, b in decreasing order.\nAnswer: 0.2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12000, -12066, -12176, -12330, -12528, -12770?\n\"Answer: -22*c**2 - 11978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 2. Let k be n(0). Let s(d) = 60*d + 4*d**k - 59*d - 3*d**2. Give s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 - 310 + 3*t - 318 + 82*t**2 + 944 in the form l + b*t + z*t**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011 - 11?\nAnswer: 100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 5*w - 2 - 12 + 27 + 8 to the form o + b*w and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -323, -554, -785, -1016?\n\"Answer: -231*t - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/190 - 18\/95. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3 + 5. Let c(l) = 9*l. Give u(c(d)).\nAnswer: 243*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81123 - 2*y + 81123.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 301240340 (base 5) to base 13\nAnswer: 32b6c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -3979.\nAnswer: 15\/3979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -47. What is the lowest common multiple of 20 and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*m + 5*v + 25 = -575*m - 27, -m + 392 = -33*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 64*v. Let f(a) = 2150*a - 21. Determine f(z(w)).\nAnswer: -4300*w**2 + 137600*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313033 (base 4) in base 2?\nAnswer: 110111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-1 + sqrt(833) - sqrt(833) - sqrt(833)) + 5 - (sqrt(833)*2 + 2)) + 0 + sqrt(833) + -2 + -1*1*sqrt(833))**2 + 1.\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11572 = 76*r - 657*r + 55*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. What is the second derivative of -3*i**4 + 4*i**3 - z*i**3 + 3*i wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d - d)*(4 - 2 + 1)*(-3*d + 5*d + 0*d)*(170*d - 100*d - 280 + 284)*(6 - 5 + 0) in the form b + i*d**3 + c*d + v*d**2 and give i.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51374320663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + k = -42, 13*k + 42 = -4*d + d + 6*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 6. Let b(q) = -45*q**2 + 20*q - 15. Let p(m) = -112*m**2 + 48*m - 36. Let t(y) = -12*b(y) + 5*p(y). Calculate g(t(u)).\nAnswer: 80*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53792895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 45315251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1 (b) -1\/15 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - k = -8, 0*r = -4*r - 4*k. Suppose 12 = -5*o + o + r*x, -4*o + 4*x = 16. List the prime factors of (0 - -1)\/(o\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097 plus 13.7?\nAnswer: 13.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 16*j - 31. Suppose 3*h + 669 = 3*c, j*h - 214 = -c - 0*c. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - 2*r**3)*(1 - 8 - 2)*(-6 + 4 - 4).\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*o + 470 - 55889 = 0 for o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221450 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 0 - (1 - 7). Let k(l) = 1 - 3*l - 2*l + 2*l - y. What is the tens digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1723114 - 1723157.00115. Let v = -228 - -185. Let n = o - v. Round n to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-9)\/(-144)*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/33*73\/((-9709)\/(-418))*1\/2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, x: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from hhdzszizdzpzzzihd?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.09, 0.7, 2, -0.01, 0.3.\nAnswer: -0.01, 0.09, 2\/15, 0.3, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.071 - 228203.\nAnswer: -228202.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -50?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11956, -1\/4 in decreasing order.\nAnswer: 11956, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3. Let v(j) = 301*j**3. Determine 860*d(y) - 4*v(y).\nAnswer: -344*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309 - -309. Which is the nearest to y? (a) 1\/9 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478837265 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15331517 is divided by 2190215.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + (-1 - (-1 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279 plus -1918500.5?\nAnswer: -1919779.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-44 + 52*x**2 + 44)*(8*x - 3*x + x) to a*x**3 + h*x + l*x**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -13. Suppose n + n = -2*z - 2, 0 = u*z - n - 13. Suppose -z*k + 52 = 16. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/5)*(b*b\/b**4)\/b)\/((b\/b**(-3))\/(b**(-1\/2)*b)))**9)**(2\/7) assuming b is positive.\nAnswer: b**(-531\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.04801309 rounded to three decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 40*x**3 + 52*x**3)*(32 - 44 + 2*x**2 - 44).\nAnswer: 186*x**5 - 5208*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 256. Let g(z) = 8*z + 1023. Determine -3*g(n) - 13*h(n).\nAnswer: 2*n + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -17. Let k be 232 + g + (-6 - -11). Suppose k = 8*d - 5*d. What is the remainder when d is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/3)\/(d\/d**(-7\/3))*d\/((d\/d**(4\/5))\/d)*d*d**(-8) assuming d is positive.\nAnswer: d**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:25 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - c - 2, -5*u = 3*c + 18 - 44. What is the highest common factor of u and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3220?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/23 (b) -4 (c) 1.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-2))\/(3 - 2). Let s(p) = -p**3 - 6*p**2 - p - 7. Let v be s(-6). Let g = v + 5. Solve -g*a - u = -r, -6*a = -3*a + r + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -3, -5, 3\/5, 140923?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12719898 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 31610.8 to the nearest one hundred.\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -567420 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 less than 52.348?\nAnswer: 41.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*x. Solve -5 = -3*v + 2*l, -5*v + 9 = -5*l + x*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 11:41 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h**(-5)*h**(-5)\/h*(h\/(h*h*h*h**(2\/7)*h*h)*h)\/h)\/(h**(-3\/4)\/(h**(1\/3)\/h)*(h**(2\/7)\/h)\/(h*h*h*h**(-3)\/h*h*h)) assuming h is positive.\nAnswer: h**(-1385\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*t - 60. Suppose -5*u + 7*u = t. Let w = u - -1. What is the remainder when 53 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2155001\/20 + 107938. Let z = t + -717\/4. Find the common denominator of z and 202*(205\/(-10) - -21)\/(4*-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -76?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16752 and 2976.\nAnswer: 1038624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (33 - (5 + -10)) + 2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, r: 2}. What is prob of sequence xxrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + 3*w**2 - 2*w - 5. What is v(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -908, -903, -898, -893?\n\"Answer: 5*s - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 52 = -4*w, -w + 0*w = -4*v + 6. Let d(b) = 27*b - 2. Let j be d(3). Let z = w + j. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 21300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24 and (-6681)\/(-18530) + (-12)\/30?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16 and -85\/574?\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9071 (base 10) in base 11?\nAnswer: -68a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmqt when four letters picked without replacement from mtrpqtk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129823 and 8567?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 56381?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*d + 2 = 0, 2*a + 4 = 6*a - 4*d. Let j = a - -4. Solve j*i = -i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 at most 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1*a)**(-15)\/((a\/(a*a**(2\/13)))\/a**(-3\/5)))\/((a*a**(-2\/9))**(1\/32)\/(a**(-1))**(-22\/5)) assuming a is positive.\nAnswer: a**(-207239\/18720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16548 and -159?\nAnswer: 2631132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-266)\/(-6) + 11\/(-33) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 6*x. Let b be (-6)\/4*(-1624)\/(-42). Let l = b + 64. Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - (-78 - -70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l + 72*l = -6. Let y = 71 + 19. Suppose l*u - 104 = 5*n, -70 = -5*u + 5*n + y. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173503 (base 8) to base 7\nAnswer: -352355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 3*m - 7*m, m + 20 = -4*f. Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 15*s + 12. Let q be -1 - -1 - 736\/46. Calculate f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -da - 19?\nAnswer: -f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23697909233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 78*d + 3. Let f be a(-39). Suppose 3*g + f = -9*z + 8*z, 4*g - 6 = -3*z. Let x be 19\/3 + 4\/6. Solve 5*t - b = -5 - x, z = -2*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0518847 at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27 - 4*d - d - 26 + 4*d. Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -108*h**5 - 624*h**4 - 1292*h**3 - 1144*h**2 - 400*h - 32 = 0.\nAnswer: -2, -1, -2\/3, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 5*m, -4*u - m = -0*m - 20. Solve l + 0*n - 2*n = 12, 0 = u*l + 3*n - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4)*(-2 + 27*q - 30*q + 40*q)*(0*q + 0*q + 2*q) to k*q + y + v*q**2 and give v.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - 3*f + 3. Let g be z(-2). What is the least common multiple of (-1 - -2 - 0 - g) + 11 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765661703 to the power of 1\/2, to the nearest integer?\nAnswer: 27671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.340424 - -0.34. What is u rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/24 + 2*h**2. Suppose -k = 3*k + 4*b - 36, b + 11 = 4*k. Let u(a) = -2*a + 5*a - a - k*a. Calculate t(u(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/w**(-7\/3))*w))**1*((w*w*w**(4\/7)*w*w)\/w)\/(w*w**(-3\/7)\/w) assuming w is positive.\nAnswer: w**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 6 - 6 - 10*v**2 + 9*v**2. Give s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 19*p + 4. Let i be t(-8). Let q = -23 + i. Find the third derivative of -9*f**5 - 4*f**2 + 5*f**2 - 7*f**2 + 0*f**q wrt f.\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 4*z**2 - 22777 + 22776 - 2*z - 2*z to m*z + b*z**2 + h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.3 - -8. What is the third smallest value in -1\/2, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 5 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -9*p - 23*p - 69 - 108, -37 = s + 4*p for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11887.6 rounded to the nearest one hundred?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j. Suppose -2*l + 10*l = 176. Let z(g) = -g + 22 - l. What is c(z(a))?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, p: 3, r: 7, g: 1, a: 2}. Give prob of sequence rprg.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -17. Let i(t) = 41*t**2 - 5*t + 7. Let s(g) = -21*g**2 + 3*g - 4. Let a(c) = l*i(c) + 7*s(c). Calculate a(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((294\/8)\/(-7))\/((-12)\/1136). Suppose y*o = 496*o + 649. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9)\/(f*f\/f**(-1\/2)))\/(f*f*f\/(f\/((f*f**0*f)\/f))*f)**(2\/3) assuming f is positive.\nAnswer: f**(-89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 3*s + 148 - 135 - 8*s**2. What is x(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3 - 8195*y**2 + 41070*y - 49320 = 0.\nAnswer: -1644, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2692740 and 5380.\nAnswer: 724347060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62, 119, 172, 221?\n\"Answer: -2*f**2 + 63*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 3*x. Is -2*x*22\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 2473648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 192933.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*w - w**3 + 2*w**2 - 205*w - 2 + 4*w**3 to l*w + q*w**3 + a + j*w**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1182 - 51.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 = -7*x + 4*x, -4*x = -2*c + 26. Suppose 3*v + 1 = 5*f, c*v + f = -2*v + 17. Let s = 0 + v. Calculate the remainder when 4 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 869652 and 6902.\nAnswer: 869652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -328, -1098, -2582, -5014?\n\"Answer: -39*i**3 - 6*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21475 by -5.\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - -403. Suppose -4*i = 61 - f. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3)*-1)\/((-8)\/(-3240)). Calculate the greatest common factor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 30.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 47. Give h(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n\/n**5*n**(3\/8)\/(n*n**(-5)\/n))\/(((n*n*n\/n**(1\/7))\/n**(-1\/9))\/(n**(1\/3))**(-9)) assuming n is positive.\nAnswer: n**(-2819\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(0 + sqrt(272) + 3 + sqrt(272) + -3 + sqrt(272) + 1 + sqrt(272)))**2.\nAnswer: 4608*sqrt(17) + 626832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 65*o. Let m(f) = 25*f. Determine m(z(c)).\nAnswer: 1625*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:44 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -568.19599 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 3. Let k be i(-3). Suppose 4*r - 2*a - 12 = 2*r, k = 4*r - 3*a - 24. Let h be (0 + 6\/(-8))*-8. Calculate the highest common factor of r and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 87. Let w = j - 66. Solve w*y + y = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05017 * -4\nAnswer: -0.20068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.82 + -0.18. Let p = -4 - z. Let y = p + -3.2. Which is the nearest to -1? (a) y (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106.544501 + -0.258499. Round j to zero dps.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 - -6)\/23)\/((-1)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20560908 divided by -6?\nAnswer: 3426818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 59*i**4\/12 + 4*i**3\/3 - 278*i**2 - 2322*i. Find the first derivative of w(r) wrt r.\nAnswer: 118*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1197, -1187, -1171, -1149, -1121, -1087, -1047?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70*1)\/7*89\/712\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35320, 37826, 40322, 42802, 45260, 47690?\nAnswer: 50086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 - 692*j**2 + 2050*j + 2744 = 0.\nAnswer: -1, 4, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezczcbzcccczecc. Give prob of picking 1 z and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3964 - -2058. Let k = v - -2709. Let t = 152 + k. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126829 by 2393.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -319826 and 0.3?\nAnswer: -95947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -348*a**2 + 18*a**3 + 349*a**2 + 0*a + 2*a in the form j*a**2 + o*a + z + i*a**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 9*s**2 - 3*s**2 to the form a + c*s**2 + v*s and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 51*i**2 - 1416*i - 8352. Let m(a) = 24*a**2 - 706*a - 4176. Let y(u) = 7*b(u) - 15*m(u). Determine t so that y(t) = 0.\nAnswer: -6, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/11 + 762062*d**2\/11 - 72592692510*d\/11 + 72591930450\/11 = 0.\nAnswer: 1, 190515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12785729 to the power of 1\/2, to the nearest integer?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*f + 10 = 0, -2*f + 5 + 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.53 - -2.07. Round n to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n - 2. Let r(f) = f**2 + 108*f + 1398. Let l be r(-15). Determine u(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(10\/4 - 2). Let l be (r + 2 + 1)*-1. Let m(v) = -v**3 - 3*v**2 + 6*v + 3. Calculate m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 53, 4, -324, 5, 1, -2 in descending order.\nAnswer: 53, 5, 4, 1, -2, -5, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3, -3872, 5, 89 in descending order.\nAnswer: 89, 5, 3, -2, -3, -3872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -70 and -0.0513309?\nAnswer: 69.9486691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(-1\/47))**(-2\/91) assuming q is positive.\nAnswer: q**(-4\/29939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -2118.9236807588.\nAnswer: -2118.7236807588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 + -251. Let s be (0 - y) + (-11 - (-248)\/8). Calculate the greatest common factor of s and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412595378 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-29*(-5)\/7395.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 >= -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89.043 - 89. Let x = v + -0.303. Is x >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-21)*(-3108)\/(-1332)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657 = -5*m - 712 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1)\/g)\/((g\/(g\/(g\/g**(-11\/5))))\/g)*g\/((g\/((g**(-18)*g)\/g))\/g)*(g*g\/g**18)\/g)**(-1\/11) assuming g is positive.\nAnswer: g**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a day in hours?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, 4, -27, -2, -46 in increasing order.\nAnswer: -46, -27, -2, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -24674\/837 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6))\/(u\/(u\/(u**(5\/6)*u)))*((u\/(u\/u**(-1\/2))*u)\/u)**(1\/28) assuming u is positive.\nAnswer: u**(-1151\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. Suppose 13 = a + 4*w, -4*w + x = -3*a + 3. Suppose 0 = p - 3, a = 4*n - 3*p + 2. Solve -2*t = -2*q - n, 2*q - 3*t + 1 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 2*w + 4. Let u = 30 + -30. Suppose 9*c + 6 + 30 = u. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*w - 923, 3*w = -14*i + 11*i + 558. Let h = -169 + w. Calculate the remainder when 29 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110111?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168.04 - 173. Let d = -0.1 + 0.06. Let o = a + d. What is the smallest value in o, -1\/5, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, s: 1, f: 5, a: 6, d: 2}. Give prob of picking 1 d, 1 f, and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3 + 72*c**2 + 12987*c + 40351 + 716 - 125*c**2 - 178*c**2 = 0?\nAnswer: -3, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 13. Let i be 2\/n - (-22 - 0). Let h = i + -10. Solve -r - 2*r = 4*j - h, 3*j - 3*r = 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*w - z + 281, 0 = -3*w - z - 301. Let r be -1 - 1\/(3\/w). Solve 0 = 4*b + c - 4*c + r, -b + 7 = 3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331*b**2 - 351 - 352 + 703)*(0 - 1 + 0).\nAnswer: -331*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -5, -151, 4 in descending order.\nAnswer: 5, 4, -5, -10, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*s + 17984 = -3*s, -v + 5996 = -3*s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/12 - -1)*(-198)\/(-12). Suppose 4*s + o = -2*w + 432, -5*s + 345 = 2*w. What is the greatest common factor of w and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 - 35196111?\nAnswer: -35196108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2956927?\nAnswer: 11827708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.08, 18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 560701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35285, 35283, 35281, 35279?\nAnswer: 35277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 3 + 0)*(4*k - 4*k + k) + k - 2*k - k - 2*k + k - k)*(-352*k + 43*k - 36*k) in the form b + s*k + x*k**2 and give x.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4 + 2\/4. Let p(u) = 8*u**2 + 5*u + 5. Let y(l) be the second derivative of -32*l + 2\/3*l**3 + 2*l**2 + 0 + 7\/12*l**4. Determine f*p(g) - 5*y(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 15. Let d = v + 42. Let x = -3 + d. What is the greatest common factor of x and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*o**3 + 513*o**3 - 251*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -133, 12 in ascending order.\nAnswer: -133, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16570061009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387008832 to the power of 1\/2, to the nearest integer?\nAnswer: 37243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let p = 102 - 102. What is the third biggest value in y, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 186 = 13*s - 46 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1)**2*-4 - (-1 + sqrt(243) + sqrt(243) + 1).\nAnswer: -972 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10107 divided by 528.\nAnswer: 3369\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 39. Let k be 4 + 75\/(-20) + (-45)\/(-12). Solve -s - 4*t = -r*s + 4, 4 = -k*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1614, -6482, -14630, -26088, -40886?\nAnswer: -59054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 + (-8 - (-518)\/70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 31287 - 16315 - 15891 to f + x*a and give f.\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*((s*s*s\/(s\/s**20))\/s)\/s*s))\/s)\/(s\/((s\/(s*s*s**14\/s))\/s)*s)*(s\/s**11)**(-1\/18) assuming s is positive.\nAnswer: s**(-328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 1. Let a be l(1). Let v be 2\/a*1\/2. Let n be (-2)\/(36\/15) + v. Put 0.5, -1\/4, n in descending order.\nAnswer: 0.5, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -11, -7, 11, 49, 113, 209?\n\"Answer: x**3 - 2*x**2 - 5*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 - 3*v**2 - 3*v**2)*(-v + 0*v + 6*v) + 0*v**2 + 0*v**2 - 2*v**3 + (3*v**2 - 3*v**2 - 2*v**2)*(24*v - 10*v + 15*v).\nAnswer: -50*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 6*j - 2*j)*(-106 + 244 - 115 + 3*j) + 579*j - 50*j**2 - 579*j as z*j**2 + p*j + t and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 48. Let y be 8\/(-12) + r\/(-12). Let t = 5\/6 + -1\/2. What is the second biggest value in y, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6297 + 7975 = 1087*o - 6653 - 15583 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(13 - (-270)\/(-20)). Solve 0 = 4*m + 5*k, 4*m + 6 = 2*k + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558354 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrbfrrbrrbbbbfbrr. Give prob of sequence bfrr.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 - 3*y + 0*y**3 - 1\/6*y**4 + 0*y**2. Let l(r) = r**2. Give a(l(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7310 and 6579.\nAnswer: 65790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f - 73. Let a be h(-9). Let v(k) = -14*k**2 + 111*k - 5. Give v(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 680277, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0, -0.3, 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1379 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.04 - 7. Let q = 98310043.03999941 - 98310044. Let s = q - y. What is s rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71727300 rounded to the nearest ten thousand?\nAnswer: -71730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -121, 87, 611, 1553, 3015, 5099, 7907?\nAnswer: 11541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.802 and -79.\nAnswer: -78.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 7*c**5 - c)*(-4 + 2 - 1).\nAnswer: 21*c**5 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1066*f**3*u**2 + 368*f**3 - 4*f*u**2 + f*u - 3*u**2 + u + 57 wrt f.\nAnswer: -6396*f*u**2 + 2208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1809*n**4*t**2 + 5*n**3*p*t**2 + 2*n*p*t + 3*n*p + 4*n*t**2 + 1138*n*t wrt n?\nAnswer: -21708*n**2*t**2 + 30*n*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 303 - -23?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3859 (base 10) to base 5\nAnswer: 110414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i + 5. Let j be r(4). Let s be (-3 + 21)*(-21)\/(-2). Let m = s + -187. Sort 3, m, j in decreasing order.\nAnswer: j, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569.539 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 8*p**2 - 26*p + 15. Let c be y(6). Which is smaller: -12 or c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - 9. Let w be 7\/(7\/(-8))*1. Let d be a(w). Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*a - 17*a = -42*a - 7176 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1282 + 1278. Put x, 3, 0, 5 in increasing order.\nAnswer: x, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3979578 times -55\nAnswer: -21.887679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/13 or -11039?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21294 and 545454.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o, 0 = -8*q + 3*q + o + 124. Does 11 divide (4 + (-70)\/q)\/((-1)\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 7589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 99960\/3528 + (-26)\/(-3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147031126 not equal to 147031125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.67? (a) -0.1 (b) 3\/8 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7996745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 17*h = -156. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z**4 - 5\/6*z**3 + 0*z**6 + 0*z - 1\/42*z**7 - 4*z**2 + 0 + 0*z**5. What is the first derivative of o(t) wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -8*f - 4*c - 8, f = 5*c + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94645656 and 14112.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (1 - 7) - (-599 + 640)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151067.\nAnswer: 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s + 2*d = -1, 2*s - 26 = 4*d. Let a(b) = -b + 4. Let w(x) = 188*x - 1 + 4 - 189*x. Give s*a(y) - 4*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + x - 5 = 0, -f + 11 = -1720*x + 1721*x. Determine y so that 0 - 10\/9*y**2 + 8\/9*y**f + 4\/9*y - 2\/9*y**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146640*b - 993302*b - 1153340*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553322.\nAnswer: 2, 7, 11, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/28)\/(-1)*-7. Let w be (-9)\/f*(-4)\/2. Suppose 2*t - w = -1. Solve -h = -0*h - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 4744*g**2 - 3088250*g + 317804508.\nAnswer: -2*(g - 1123)**2*(g - 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u - 48. Let h = u + -7. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -180001*u + 5. Let q = 9 - 4. Let h be z(q). Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxoo when four letters picked without replacement from rkouokororuoxro.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -10. Let x(w) = 5*w. Let h be x(2). Let u = h + c. Solve l = 4*m, -m = -2*l + u*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 16*v + 29. Let z be x(-6). Let f(k) = 4*k**2 + 2*k**2 - z*k**2. Let s(o) = 6*o**2. What is s(f(y))?\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0008287 and 1.4.\nAnswer: 0.00116018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 1. Let p(t) = 2*t**4 + 4*t**3 + 3*t**2 - 4*t - 5. Let s be -2 + 1 - (-5 - -7). Let z(n) = s*d(n) - p(n). Factor z(x).\nAnswer: -2*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23687462 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37039563.\nAnswer: 3, 11, 374137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68071, -135950, -203829, -271708, -339587?\nAnswer: -407466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632030780.\nAnswer: 2, 5, 31601539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 1690*r + 0*r**2 + 1690*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2*x**7*x**(-1)\/(x**(-2\/9)\/x))**(-3\/5) assuming x is positive.\nAnswer: x**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 + 481 - 46*q**2 - 243 + 5*q**2.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 7*t - 13*t + 2*t + 7 to q*t + l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 10. Let r = -37 - c. Let s = r - -12.00009. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1 - -2)*-1. Let i be (-21)\/(-12) + m\/4. Is i*(387\/(-6))\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 47614155.\nAnswer: -1\/15871385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 2 e when four letters picked without replacement from ezeoeeseeeeerzeeerz.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**6 + 0 + 7\/6*k**3 + 0*k**4 - 7*k**2 - 1\/30*k**7 + 0*k**5 + 0*k. Differentiate a(s) with respect to s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067483 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 3. Let r be i(4). Let a(d) = -284*d - 1417. Let n be a(-5). Solve 4*c + n = -r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188\/(-94)*5\/95*(-1)\/(-1)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 30*y + 110. Let k be f(26). Let o be 8 + (-24)\/k - (-1065 - 2). Calculate the greatest common divisor of 119 and o.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 + 8*j + 3. Let l be a(-7). Let t be (-2)\/5 - l\/10. Suppose t*p + 14 = 2*p. What is the remainder when 12 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/15 + l**4\/6 - l**2\/3 + 10*l. Factor y(z).\nAnswer: 2*(z + 1)**2*(2*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y - t = -59, t + 31 = 2*y. Let h be (1 + -5)*-1*y\/450. Let f be 5*-1*(-6)\/105. Which is the nearest to f? (a) h (b) -3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2472.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -838*q + 258099. Give h(308).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/17 and (2\/(-20))\/((-46)\/(-2415)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 19 = -2*n, n + 952 = 953 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + x + 196 + 74, 0 = -2*u + 4*x + 546. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by (((-1826)\/8)\/11)\/(-2 + (-75)\/(-40))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(1750\/10))\/(1\/95). Let l(n) = -2*n - 1. Let j be l(-2). Which is bigger: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.81358 microseconds to milliseconds.\nAnswer: 0.04181358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -0.57. Let z = f + 0.1. Which is the third smallest value? (a) 1 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54796\/3 + 18265. Which is the nearest to 1\/393? (a) t (b) -10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -5 (c) 1\/12 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1631 or -1?\nAnswer: -3\/1631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -253, -394, -537, -682, -829, -978?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l + 2. Let o be f(0). Let s = o - -15. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -76, -3, 0.7, 2\/3 in decreasing order.\nAnswer: 0.7, 2\/3, -1.2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(1*sqrt(6336) + -2)**2 + (sqrt(6336) - (sqrt(6336) - (-1 + sqrt(6336) + sqrt(6336)*2)))**2*-2 + -4.\nAnswer: -152096 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 403895*p**3 - 8 + 201891*p**3 + 0 + 201915*p**3.\nAnswer: -89*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*k - 97*k + 3*k**4 + 1 - 2*k**4 - 22*k**3 + 203*k as x + r*k**4 + m*k**3 + g*k**2 + b*k and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.896 - -0.104. Let s = h + -58.6. Let g = -4.8 - 0.2. Which is the second smallest value? (a) 3 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8.386 (b) -0.2 (c) 0 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -i, 4*d - 32 = 3*i - 6. Suppose h + 0 - d = 0. Solve h*o + 10 = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-5))\/(5\/(-75)). Let h be (-10)\/3 + (-2)\/u. Let z be (-56)\/(-21)*h\/(-2). Do 3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2097.\nAnswer: 4\/2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -871 - -866. Which is the fourth smallest value? (a) -2 (b) -10 (c) x (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199\/6 - -668\/21. Let o = 23\/14 + v. Let w = 1.25 - 0.85. Which is the nearest to 0.3? (a) 0 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23572585 to the nearest 100000.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17190051 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d**2 + 6*d + 4. Give a(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/16 + (-33)\/18. Put 12, -5, -1\/6, m in increasing order.\nAnswer: -5, m, -1\/6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 376*t - 196*t - 188*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - -12. Find the second derivative of 2*i**2 + i**5 - 155*i**3 + 5*i**5 - p*i + 155*i**3 wrt i.\nAnswer: 120*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*u - 2*p, -4*u + 5*u + 3*p = 25. Suppose -4*z - k = u, k + k = 2*z + 10. What is the units digit of (-56)\/(-21)*z\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/25) + 235\/(-94)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(102)*-1 + sqrt(102)))\/(5*(sqrt(6) + (sqrt(6) - sqrt(42)\/sqrt(7)))) - (((2 + sqrt(1377))*6)**2 + (1*sqrt(1377))**2 + 1).\nAnswer: -51094 - 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2672900673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 2. Let d(r) = -r - 2. Suppose 7 = -2*s - 10*n + 7*n, -4*s - 5 = -3*n. Give s*b(x) - 3*d(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35649, -142797, -321377, -571389?\n\"Answer: -35716*f**2 + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19295151 is divided by 304.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/s)\/(s*s**26\/s) assuming s is positive.\nAnswer: s**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -15 (c) -0.5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from {r: 12, h: 3, m: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcb when three letters picked without replacement from {p: 4, g: 1, b: 1, h: 3, x: 5, c: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Suppose 5*q - p = 4. Let u = 1 - -1. Sort u, q, 4 in ascending order.\nAnswer: q, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1689104 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**4 + 8677907*g**3 - 12996*g**2 + 8414 wrt g.\nAnswer: 288*g + 52067442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 18050?\nAnswer: 18050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 63*c**2 + 298*c - 2011. What is k(67)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-8)*(-2880)\/108. Solve d*s = 20*s + 24*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 3*g + 4. Let m be q(3). Let u = 467 - 520. Let c = m - u. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209, 225, 227, 209, 165, 89, -25, -183?\n\"Answer: -n**3 - n**2 + 26*n + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 2*l + 1. Suppose -2*v - 10 = 5*h - 3*v, 2*h + 21 = -3*v. Let w(t) = 2*t**2 - 2*t + 1. Determine h*w(q) + 2*r(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -533165382, -533165384, -533165386?\n\"Answer: -2*i - 533165380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-344)\/(-10)*1 - (-124)\/(-310). What is the greatest common factor of u and 748?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 665 = -5*c - b, 4*c + 5*b - 537 = 0. Let f be 0\/1 + -1 - -58. Suppose -61*g + c = -f*g. Calculate the highest common factor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5379, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6 - (-1246)\/(-210))\/((-2)\/(-84)) and 24\/49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + n + 0 = 7, -2*n + 5 = v. Let o be 0\/((1 - v)\/2). Suppose 2*a + 3*w - 1 = 8, o = 2*a - 4*w - 30. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458781333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -301\/4 (b) 0 (c) -0.04 (d) -2\/5 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 596137*w**2. Let m(s) = s. Calculate m(g(j)).\nAnswer: 596137*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 507928*h + 6095712.\nAnswer: -4*(h - 12)*(h + 126994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -3. Let m = 0.777 + -0.81. Let z = m - 0.067. Which is the second biggest value? (a) z (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + 3 - 11 - (-16 - -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3855*r - 1703912. Calculate d(442).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935119.4 millilitres to litres.\nAnswer: 935.1194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h**3 + h**2 - 1. Let l(n) = -n - 9. Let o be l(-14). Suppose a - z = -2*a - 2, o*a + 3 = 2*z. Give s(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24698177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1415?\nAnswer: -1\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 23*d**2 + 209*d + 45. Let f be m(30). Let o be (-2 - -3) + 122 + -3. Calculate the greatest common divisor of o and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 22 = -b + 3*b, 3*g + 4*b - 8 = 0. Let l(t) = g + 2 - t - 5. Calculate l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/24 - l**2. Let n(g) be the first derivative of g**3\/3 - g**2\/2 - 2*g + 231. Determine n(k) + o(k).\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 53)\/(6\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)\/(n\/(n*n\/(n*n*n\/n**(-1)*n)*n*n*n*n))*(n\/(n**(-5)\/n*n*n))\/(n*n*n**7) assuming n is positive.\nAnswer: n**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/549163 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 644.839048 - 644.8. Let r = n + -0.039. What is r rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 4*c**2 - 4*c - 5. Let o(r) be the first derivative of r**4\/4 - r**3 + 3*r**2\/2 + 4*r - 4. Give -4*o(m) - 3*p(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**2*j*j**4*j**(1\/3)*j*j**(-3) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89253892 by 196.\nAnswer: 455377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126925 at least as big as 126925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(162))**2 + sqrt(162).\nAnswer: 9*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 1758 = -5916. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18662702837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 8*k**2 - k**2)*(-339 - 5*k + 338 + 16*k).\nAnswer: -55*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/14 + -1249*(-3)\/21 is divided by 76?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3247560 (base 9) to base 6\nAnswer: -101215043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 890, 777, 678, 599, 546, 525?\n\"Answer: n**3 + n**2 - 123*n + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -2210 in ascending order.\nAnswer: -2210, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -305?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (5 + -17 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201218 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 5*x**3\/6 + 59*x. Let g(r) = -19*r. Determine g(m(s)).\nAnswer: -95*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27687902805 and -150.\nAnswer: 27687902655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8900 + -4227494\/475. Is q greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m**2 + 0*m + 3 - 3\/7*m**7 + 0*m**4 + m**3 + 0*m**5 + 0*m**6. Find the third derivative of k(l) wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-42))\/3*(-3)\/5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -218*d**3 + d**2 - 51*d + 50. Give c(1).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80958 - 80905.239. What is x rounded to zero decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/101945271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 28, 95, 202, 355, 560, 823, 1150?\n\"Answer: b**3 + 11*b**2 - 7*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061075 is divided by 412210.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19\/3, -0.005, -5, 234, 0.2 in ascending order.\nAnswer: -19\/3, -5, -0.005, 0.2, 3, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/4 - j**3\/2 + j\/2 - 1\/4 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1759 - 1239. What is the greatest common factor of i and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297c1 (base 15) in base 13?\nAnswer: 48931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - o + 15, 14*c + 4*o - 10 = 12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i + 7. Let z(w) = -w + 1. Let j(g) = 2*o(g) - 10*z(g). Let c(t) = -9*t**2. Determine j(c(l)).\nAnswer: 72*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 8*r + 1. Let k = -121 + 465. Let j = 338 - k. Give c(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*k = -262 - 1034. Let f(c) = -23*c**2 + 5*c. Let x(j) = -22*j**2 + 6*j. What is k*f(p) - 5*x(p)?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -95, -123, -151, -179?\n\"Answer: -28*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:42 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a - 20*a - 20*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 1. Let j = -8.05 + 8. Let z = s + j. What is z rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9631 (b) 3\/2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5112330 and 684.\nAnswer: 30673980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f. Suppose 0 = -v - f*v, 3*q = -4*v + 6. Suppose 0 = -q*r + 5*r - 108. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 10*y**2 - 8*y - 3. Suppose 32 = -3*v + 5. Give i(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125114254*a**2*z**3 - 492*a**2 + 79208*a with respect to z.\nAnswer: -375342762*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 50*d + 430. Give l(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237992 divided by 29749.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 4137394188.37?\nAnswer: 4137394187.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 + -84 + 81 + 98?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 27*q - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/(-246)*-3*4\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 8*r + 472. Let n be i(116). Round n to the nearest 100.\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, -1427, -101 in decreasing order.\nAnswer: 1, 0, -2, -101, -1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 0. Suppose 38 - 6 = -4*y + 3*g, -y = -4*g + 8. Calculate the remainder when (-1)\/y + (-5695)\/(-136) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 107*c + 9345. Calculate a(164).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose -189 = -x*v + 15. What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.24686 and -337.444?\nAnswer: 345.69086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y + 22 = 4*r - 385, 11*y + 18 = -4*r + 105 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1257, -0.07, 4\/9?\nAnswer: 2\/1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -8, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w + 16. Determine p(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 549\/3843*7\/20 - (-1)\/(-4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + 11\/(-2). Let d be (0\/2)\/(-3 - x). Suppose 2*f + 0*f - 8 = d. Solve -2*u - f = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 2 (c) 178 (d) -1 (e) -1061\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(105\/(-12)))\/((-2)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/6 - 39*x**2\/2 + 1521*x\/2 - 2611. Factor p(k).\nAnswer: (k - 39)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -6. Let q = -5 - a. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376259 or 376256?\nAnswer: 376256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6089323?\nAnswer: 2017, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033578057 to 4 decimal places.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56\/3 - 18. Let q = -8 - -7.5. What is the third biggest value in z, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 - (-215)\/20. Let q be (-10)\/(-14) - m\/(-35). Suppose 2*w - 3*w = -q. Solve -2 = -z - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*t - 12, 3*t + 3 = -6. Suppose -2*y + 26 - 10 = m. What is the derivative of -y*v**4 + 17 - 17*v**4 - 21 + 16 wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51643 - 1043283?\nAnswer: -1094926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5422, -5424, -5434, -5458, -5502?\n\"Answer: -r**3 + 2*r**2 - r - 5422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let u(y) be the first derivative of -y**3 - 46. Give u(l(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13667, 13665, 13663, 13661, 13659?\n\"Answer: -2*m + 13669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0\/o)**19\/(o\/o**(1\/9)*o**(-3)*o))\/(o**(3\/7)\/o*(o\/(o*o*o**(-4\/9)))\/o*o*o**(-1\/6)*o*o\/o**(-5)) assuming o is positive.\nAnswer: o**(-991\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 + 3*m + 3. Let b be v(4). Let p = 0.1 + 0.2. Let d = -0.0028 - -4.0028. What is the nearest to b in d, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131397139*m*t*y**4 - 2*m*t*y**3 - 59*m*y + 6*t*y + 15833*y**2 wrt y.\nAnswer: -3153531336*m*t*y - 12*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1 in ascending order.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 183 (c) -3 (d) 4\/5 (e) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 20. What is the common denominator of o\/14 + 213\/(-210) and 37\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13323081, -13323093, -13323113, -13323141, -13323177?\nAnswer: -13323221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let i = 0 - m. Suppose i*u = 3*u - 25. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + t**4 - 2*t**4 + (63*t + 176*t + 124*t)*(-3*t**3 - 2*t**2 + 2*t**2).\nAnswer: -1092*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217 - -322. Does 35 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57.184 * -4\nAnswer: -228.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1723546*k**4 - 5*k**2 + 727*k + 90.\nAnswer: 41365104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**4*p*p)*p))**(4\/19)*p**(1\/16)*p**12 assuming p is positive.\nAnswer: p**(3987\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 10. Suppose j - 119 = -4*b. Calculate the greatest common factor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10226 - 10226. Which is the second biggest value? (a) 2\/5 (b) -161 (c) 2\/13 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esellesasasalfslease. What is prob of picking 3 e and 1 a?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**3 + 6*w + 5 - 124*w**2 + 362*w**2 - 116*w**2 - 123*w**2. Let r = 15 + -9. Let f(p) = 19*p**3 + 2*p**2 - 13*p - 11. Give r*f(x) + 13*j(x).\nAnswer: -3*x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*k*s*u*z + k*s + 2*k*z + 83*s*u*z + 16*s*z + 266*s + u*z + 5*u with respect to u.\nAnswer: -48*k*s*z + 83*s*z + z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = 4*l + 8, 0 = -2*j - 3*l - 23. Which is the biggest value? (a) -2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1935254 and 1935256 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1. Let w = -1.5 - r. Let s = -2 - w. What is the smallest value in -0.4, 3, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(3))*-4)**2*-6.\nAnswer: -1536 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j + 3. Suppose 7*h = 2*h. Let l be h + 1 + 2 + 4. Is o(l) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -2*i - 3094. Let r = i - -246. Solve x - r*x + 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 13, -59924 in decreasing order.\nAnswer: 13, -16, -59924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5*f**3 - 128*f**2 + 176*f. Is a(23) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480.35 - -558.122. Let i = g + -81.8. Let q = -4 - i. What is q rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5899277.\nAnswer: 127, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8110, 16215, 24320, 32425?\n\"Answer: 8105*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/((-108)\/8)*-3. Let a be (1 + 37)*(-1)\/2. Let k be a\/(-38) - 3\/t. Solve -5 = k*n + 3*r, 5*n + 2*r - 4 = -0*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.9 - -19. Which is the nearest to w? (a) -3 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 23\/99, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.58329761 to one dp.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = r - 587 + 725 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 82889.\nAnswer: -3\/82889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5596 - 1558*w + 408*w - 918*w + 847*w - 1950*w wrt w?\nAnswer: -3171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10))\/((-744)\/155)*(110 - 95)\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhehhehhhghhdhehhgg. What is prob of sequence hhgh?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 70, 105?\n\"Answer: 35*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/20)\/(36\/(-120)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(336\/(-24))*7*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119330 is divided by 3183?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965*l**3 + l**2 + 453.\nAnswer: 5790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - t**2 + (-4*t + t + t)*(4*t - t - 5*t))*(-6*t**2 + 3*t**2 - t**2).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -5. Let u(h) = 5*h**3 + 2 - 3*h**p + 0*h - h**3 + 0*h + 2*h. Let n(i) = -5*i**3 + 4*i**2 - 3*i - 3. Calculate -2*n(t) - 3*u(t).\nAnswer: -2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-1 - (-3 - -5))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 - 53*b - 29. What is the derivative of f(g) wrt g?\nAnswer: 4*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 4.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 11*z**7\/1050 - 47*z**6\/300 + 93*z**5\/100 - 27*z**4\/10 + 18*z**3\/5 + 237*z**2. Find v, given that c(v) = 0.\nAnswer: 6\/11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 319532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 211 = 2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 90. Suppose 4*b + m = -22. Is (b + 26)\/((-1)\/(-8)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 1. Suppose 0*v - 3*v = -4*q - 1, 2*q = -5*v + 19. Let r(a) = a**3 - 4*a**2 + 3*a + 4. Let g be r(v). Let c be (5\/g)\/((-1)\/4). Give i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316780.\nAnswer: 2, 5, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q + 4*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62538681 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9006522 and -145\/6?\nAnswer: 9006522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25515044 (base 7) in base 2?\nAnswer: -1000110111010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 8*p**2 + 6. Let u(r) = -r**2 - 1. Let t(y) = 20*y - 6. Let h be 0\/((-60)\/(-35) + 8\/28). Let n be t(h). Give n*u(w) - o(w).\nAnswer: 3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 4:18 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142824 and -47?\nAnswer: -6712728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.95786556 to two dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-2)*(-1314)\/(-1533). Calculate the greatest common factor of v and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*5 + 21 + -17. What is the greatest common divisor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1643 or -1386?\nAnswer: -1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-2 - -23) + -10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 677, 1349, 2023, 2699, 3377, 4057, 4739?\n\"Answer: w**2 + 669*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1825, -3163, -4499, -5833, -7165, -8495?\n\"Answer: v**2 - 1341*v - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -37. Factor c + 8\/3*i**2 + 20\/3*i.\nAnswer: 4*(i + 1)*(2*i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 572321*c**4 + 80*c**3 - 159764857*c**2.\nAnswer: 13735704*c + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(252)*2)\/sqrt(9))\/((5*sqrt(36)\/sqrt(3))\/(sqrt(3) + sqrt(54)\/sqrt(2) - sqrt(3))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5671 + 29?\nAnswer: -5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 53 (c) 1 (d) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.0286, -2, -13\/3, -1, -1\/4?\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 64 (b) -4 (c) -2\/75 (d) 3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, m: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2123*g - 800. Does 13 divide m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20451*k - 20472*k + 40871*k.\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000)\/sqrt(2) + sqrt(20) - (sqrt(20) + sqrt(2000) + -4*sqrt(2000) + sqrt(20) + sqrt(20)))\/(3*6*sqrt(90)*-6))**2.\nAnswer: 121\/5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2*i + 9. Let j be k(5). Let q(x) = -x**3 - 13*x**2 + 2*x + 4. Let p be q(j). Round p to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(17 - 0) + 6\/(-12).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 13*n**3 + 9*n**2 - 16*n + 6. Let m(r) = -7*r**3 - 5*r**2 + 8*r - 3. Let v(l) = 11*m(l) + 6*o(l). What are the prime factors of v(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1992 and 329012.\nAnswer: 1974072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 156750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*j**3 - 5*j**3 + 2*j**3 + 0*j**3 as x + s*j + r*j**3 + o*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 75\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 110161452*g - 1011295458895692.\nAnswer: -3*(g - 18360242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4922203*x - 4165060 wrt x?\nAnswer: 4922203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 32\/(-8))*(-12)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/12 - 3*n**3\/2 + 9*n**2 + 37*n. Let x be s(5). Does 24 divide x\/3 - 1765\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197\/7 - -28. Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.5 - -0.6. Let m = f - -15.73. Let g = 0.889 + m. What is g rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67575 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145146874 divided by 4.\nAnswer: 72573437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - b + 85 = 0, b - 112 = 5*s - s. Let w be (s\/54)\/((-1)\/4). Is 1\/4 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 55125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133095 rounded to three dps?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-31 + 36)) + 3 + -31 + 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11070\/2700*(-10)\/1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -48. Suppose -t + 8 = -u. Suppose -x - u = -3*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/60 + i**5\/15 + 11*i**4\/12 - 11*i**3\/6 - 4*i**2 + 1. Is r(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653375096?\nAnswer: 2, 11, 31, 53, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025228589 rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -74.1. Let c = h + 4. What is the closest to -1 in -2\/11, c, 2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2)\/10*(-25)\/(-2). Let m = 7 - j. Solve 0 + 4 = -m*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 5 (c) 0.1 (d) -9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - c + 1 - c + c - c - c + 2*c + 0*c + (-2 + 2*c + 2)*(1 + 3 - 5) + 2*c - 6*c - 12*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/20 + 3*p**4\/2 - 61*p**3\/6 + 39*p**2\/2 - 54*p. Let v be r(-21). Let z(a) = a**2 + 2*a + 6. What is z(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 6. Suppose -2*k = r - 8. Calculate the remainder when k is divided by -1 + 2 - (3 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62*0.6\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4091 and 95?\nAnswer: 388645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:29 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109621886 and 242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7 - -323.14.\nAnswer: 327.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14693015.\nAnswer: 5, 17, 172859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 1. Let u(z) = -2. Let i(d) = u(d) - w(d). Let h(p) = 7*p**2 + 8. Give 5*h(n) + 40*i(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.335 and 56.9.\nAnswer: 57.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 - 192*o - 184. Give z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 5*g**4 - g**3 + 11 - 4*g**2 + 1 + 2*g**2 to the form a + r*g**4 + y*g**2 + m*g**3 + d*g and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdzh when four letters picked without replacement from zgzdgh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, -1, -2\/1143, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - t - t)*((214 - 214 + 30*t)*(-6 + 37 - 15)*(-4 + 0 + 3) - 1 + 1 + 2*t) to n*t + z*t**2 + g and give z.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - l + l)*(-9*l + 10*l**2 + 9*l) as y*l + v*l**2 + d + u*l**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 3 + -4*(sqrt(539) + (sqrt(539)*-1 - sqrt(539)))*1 + -5))**2.\nAnswer: -8064*sqrt(11) + 311040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -4.2, -0.428, 0.2 in ascending order.\nAnswer: -4.2, -0.428, -0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3006120575 and -0.4?\nAnswer: 3006120575.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from rrrbherurhh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 53*l = 0. Let t(y) be the third derivative of 1\/480*y**6 + 0*y**4 + 0*y**3 + 0 + 3*y**2 + l*y - 1\/240*y**5. Factor t(w).\nAnswer: w**2*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/39*(5*1 - 1). Is t bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4 + 5\/(-10). Suppose 0 = 2*n + v*t - 404660, n - t = -0*t + 202333. Suppose -n = -2*g + 41668. What is g rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 - 3433663*n**2 - 111688*n - 32 wrt n.\nAnswer: 24*n - 6867326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*w**2 + 64 - 64)*(-6 + 3 + 0)*(-2 + 4 - 4)*(0 - 3 + 2)*(1 - 4 + 5).\nAnswer: -192*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6, 65, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-4))\/((-1)\/4). Let v = 20 + q. Solve -v = 4*h - 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*l - m = 796*l + 5, -m = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 14\/13*i**2 + 2\/39*i**3 + 0*i + 35. Find l, given that u(l) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014082*y + 16188 = 1014196*y for y.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457*f = 465*f - 56. Solve -f*p = 4 - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 112\/56*(-1 - 30\/4). Let z be w + 16 - 2\/2*-6. Solve 0*a - z = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126, 123, 120, 117?\n\"Answer: -3*r + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from {w: 4, q: 9, u: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 2*f + f)*(3 + 2 - 7).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:27 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53291.\nAnswer: 7, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:32 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46651789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.84924 - -63.65. Let a = -0.2 - k. Round a to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834904.8um to millimeters.\nAnswer: 834.9048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/19)\/3*(-3)\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gspuiog. What is prob of picking 2 g, 1 s, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 53 = 112. Calculate the remainder when 218 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8957 >= 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u + u)*(-3 - 23*u + 4 + 6*u).\nAnswer: -68*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 164485602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2004 - 0.6004. What is the smallest value in -48, w, 4\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -364 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)\/(w\/(w*w*w**(-5\/3)*w)))\/((w**29\/w)\/(w*w**(-2\/43))))**(1\/52) assuming w is positive.\nAnswer: w**(-1184\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 7. Let b be (-3)\/2*(-8)\/(-3). Let r be 2*(2 + (-18)\/b). Let d(y) = 2*y - 2*y + r - 7*y. Determine -6*d(i) - 11*j(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -0.2, -0.23, 6\/29, 13 in decreasing order.\nAnswer: 13, 4, 6\/29, 0.1, -0.2, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126234 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*w - 5. Suppose g + d = 6*g - 230, -g + 65 = -w*d. Suppose -2*i + 7*i = g. Calculate the least common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13449670043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -15 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 45*o**2 - 87*o + 1840. What is b(46)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 10. Let b(s) = 7*s + 10. Let t(q) = -4*b(q) - 5*v(q). Let c be t(-3). Solve r + 6*f + 20 = 2*f, f = -c*r - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 8*r + 4*r. What are the prime factors of (126\/30)\/(r\/520)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (0 - -4) - (-55 - -58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 15\/4. Suppose 0 = 3*y, 6*k - 40 = k - v*y. Suppose 76*p - 240 = 72*p + 4*f, 4*p - 3*f - 242 = 0. What is the remainder when p is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 19.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/6)\/2)\/((-2)\/(-3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65412262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, p: 2, h: 1}. What is prob of sequence xp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxmxmw. Give prob of sequence xmrm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + h**2 + 2 + 10 + 104*h**3 + 389*h**3 - 11 as q*h**3 + z*h + i*h**2 + r and give q.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwwggwa. Give prob of picking 1 g and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 + 4*y**2 - 4*y**2)*(-15*y - 5*y - 1 + 21*y - 14*y**2).\nAnswer: -126*y**4 + 9*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + -1002010?\nAnswer: -1010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1846, -1842, -1836, -1828, -1818?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 36*h**2 + 203*h.\nAnswer: h*(h - 29)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - (-15 + 32 + 27)) + 39 + 2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3 + 3 - s + s**2 + 6 + 11*s. Is k(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-282)\/94 - 69\/(-15). Suppose 12\/5*l + 8\/5*l**2 + 4\/5*l**5 - j + 0*l**4 - 16\/5*l**3 = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-7) + 6\/21. Let o be (1 + q)*(3 - 4). Suppose -3*p + 3*l + 21 = -2*p, -4*p - o = 5*l. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(6\/(-21)) + 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307969561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:01 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**5\/60 + 5*o**4\/24 + 2*o**3\/3 + 13*o**2\/2 + 24. Let c(j) be the second derivative of i(j). What is y in c(y) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-1*5)\/(sqrt(20) + sqrt(20)*4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1563.98 - 1564.01. Let j = 1.1 + -1.56. Let q = -0.06 - j. Put q, -5, 1, z in decreasing order.\nAnswer: 1, q, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 + 61 - u**2 - 6*u**2 + (1188 - 95*u - 1188)*(-3*u - u + 2*u) to i*u**2 + x*u + r and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20520 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 + 120*o - 106. Give d(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**2 - 11*j + 11. Let w be m(6). Suppose 7*r + 93 = w. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1214017.8 + -1214009.200043. Let x = -9.024 - -0.424. Let t = y + x. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*38\/(-399) - (-352)\/(-1183). What is the closest to w in -2\/5, -1, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7140700142\nAnswer: 7140700137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.723598t to grams.\nAnswer: 4723598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47210085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:45 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 43*v + 3. Let r(l) = 21*l + 1. Let a(d) = -13*r(d) + 6*y(d). Does 8 divide a(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12467)\/(-42) + 2\/12. Suppose -2*k = k - h. What is the remainder when k is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 28*h - 157. Calculate the lowest common multiple of 221 and t(6).\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 - 158. Let k = n - 11. Solve -5 = -k*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 13) to base 16.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 19. Let x be h(13). Suppose m = -5*r - 60, -4*m - 4 = -2*r - x. Let s(a) = a + 9. Give s(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966205 greater than 1966159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 220*y**4 + 1878572*y**3 - 15109492*y**2 + 13709332*y - 478632 = 0. Calculate y.\nAnswer: -8547, 2\/55, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40531, 40571, 40623, 40693, 40787, 40911, 41071?\n\"Answer: r**3 + 33*r + 40497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5876 + -5876.3. What is the closest to 4 in n, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2 - 3 + 6)*((-4 + 3 + 3)*(-3*x + x - x) + 2*x - 5*x + x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*z**3 - j**3*z + 8*j**3 - 869*j**2*z**3 - j*z**3 + 136*z**2 wrt z.\nAnswer: 12*j**3 - 5214*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4*l - 66705*c**4 - 2*l - 72050 wrt c?\nAnswer: -8*c**3*l - 266820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010110100111010001 (base 2) in base 8?\nAnswer: 13264721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28011969 is divided by 239.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/7 (b) -1\/11272 (c) -1\/7 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46069, 92164, 138259?\n\"Answer: 46095*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/594 and -127\/125388.\nAnswer: 1379268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-17))**(-1\/63))**(-26) assuming a is positive.\nAnswer: a**(494\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 87*c**2. Let u(n) = -38067*n**2. Give y(u(r)).\nAnswer: 126071394543*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l - 26. Let r be g(2). Solve -3*f + r = 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a - 5. Give l(6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-12))\/(495\/(-270))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 4*z. Let m(i) = -i**2 - i + 2. What is 2*m(l) - v(l)?\nAnswer: -10*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 170*q**2 - 446*q - 43454. What is c(174)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-28) + -2 + 2\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 + m**2)*(1 - 4 + 2) + 0 + 0 + 2*m**2 + (1 + 1 - 4)*(-10*m - 2*m**2 + 10*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/2 - 40*c**3\/3 - 121*c**2 - 200*c + 8157. Solve g(t) = 0 for t.\nAnswer: -4, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4817161 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/28 + (-1)\/(-2). Solve n = -k, -3*k = -o*n + 2*k - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g. Let t be a(1). Suppose t*v + 5 - 21 = 0. Let q = v - -1. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/1789 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 5076.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by -7?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2828812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16*d + 1. Let h(p) = 19981 - 19981 - p. Determine h(m(u)).\nAnswer: -16*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3788 - 3759. Let t(h) be the second derivative of -5\/3*h**3 + 0*h**4 + 0 - 5\/2*h**2 + 1\/6*h**6 + 1\/2*h**5 - j*h. Factor t(z).\nAnswer: 5*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 - j**4 - 366*j**2 - 30197*j?\nAnswer: 40*j**3 - 12*j**2 - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-55) + -489*3\/(-99). Solve -4*p + 17 = 4*r - c, -5*r = -2*p - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/9, -36, 0, 5, -4 in decreasing order.\nAnswer: 5, 0.5, 2\/9, 0, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3759*q + 3768*q - 151 + 25 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 divided by 4.\nAnswer: -473\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 15*v - 8*v**2 - 15*v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/2 - 0. Let c(g) = 5*g - 116. Let a be c(24). Calculate the highest common divisor of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-27))\/((-516)\/387). Which is smaller: -0.139 or d?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3039*u = -3044*u - 16, -286*v + 306 = -5*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 1 - 13 + 6 + (u - 1 + 1)*(4*u - 4*u - u**2).\nAnswer: 2*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 23*w + 6 = 0, i = -2*w - 96. Let b = 124 - i. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 - 68992*p**3 + 482780*p**2 - 551648*p - 1103424 = 0.\nAnswer: -1, 4, 17241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -2. Suppose 4*f + b - 24 + 5 = 0, -5*f + 17 = -b. Let h = s - f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 66*j - 11. Suppose 4*m + 11 = -2*p - m, 0 = -2*p + m + 7. What are the prime factors of n(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27661975.\nAnswer: 5, 11, 17, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*1.4\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7027877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggd when four letters picked without replacement from ggfvgvvdgd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 4*k + 244 = 4*z, 2*k = -4*z - 322. Calculate the remainder when 1157 is divided by (-184)\/(-3) + (z\/15)\/16.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2179 take away 985961?\nAnswer: -988140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183404?\nAnswer: 2, 13, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2*b**5\/65 + 2*b**4\/13 - 14*b**3\/39 - 10*b**2\/13 + 218. Factor z(o).\nAnswer: 2*o*(o - 2)*(o + 1)*(o + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*d + 6 + 4 = -641*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325627 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1913, -1801, -1689, -1577, -1465?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 22. Let g = -0.063 - 24.537. Let i = g + v. What is the second smallest value in i, -3\/4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i + 2*l, -2 - 5 = 2*i - 3*l. Let w(z) = -14000*z**3. Let g be w(i). Round g to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -5)\/(-6)*13\/26?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 12*b - 11. Let u be x(11). Let q = u - -18. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 4:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from tzuzzuztzuzuzbzzztz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*x**3 + 2*x + 118*x**3 + 116*x**3 - 530 - 359*x**3 - x**4 - 733 to h*x**3 + i + l*x + v*x**4 + m*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 30 = -14*b. Let n(f) = f - 30 + b + 33. Calculate n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.129 - -13.608. Which is smaller: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22230 and 1506700?\nAnswer: 13560300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 1, 0 = -w + 2*z + 5907. Is 66 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1 + 1 - l + l**2 + l. Let b(f) = -15 + 8 + 8. What is 6*b(p) - 3*t(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57834.41 and 3193.75.\nAnswer: 61028.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38465, 1\/4, -57?\nAnswer: 38465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8) + -1 + 4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 12*s**2 + 4*s + 12. Let k(w) = 2*w**3 - 14*w**2 - 5*w - 13. Let b(i) = -3*h(i) - 2*k(i). Determine b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553*f - 3309 + 3309)*((-1 + 0 + 0)*(3 - 1 - 1) + 0 + 6 - 1)*(-4*f - f + f).\nAnswer: 8848*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 17, -2, 0.064?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/5844 and 103\/2464220?\nAnswer: 7392660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -37*i - 139920. Round i to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h**3 + 1)*(-h - 3*h + 0*h)*(191 - 6 - 51).\nAnswer: -1072*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21495494 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*-1 + 10\/6*36045\/2225.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*((-65)\/(-105) - (-4)\/(-14)). Suppose 2*w + 3*w + 9 = -k*i, -5*i - 3*w + 1 = 0. Which is bigger: 17\/12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwawaaawga. What is prob of picking 1 w and 1 a?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Suppose -3*q + 6 = -5*q. Suppose h - 2 = -h. Let w(p) = p + 2. Calculate h*w(t) + q*d(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-215 - -222)\/(-1*1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 - 39 = 0. Suppose 0 = -7*j + 8 + 13. Suppose j*d - t = -17 - 18, -5*d - t = 61. Is d greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 660*n**3 - 111084*n**2 - 220172*n - 109752 = 0. Calculate n.\nAnswer: -102, -1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k*k**(-10))\/k)*(k\/k**(2\/61))\/k)\/((k*k\/(k**(16\/3)\/k))\/k)**(1\/20) assuming k is positive.\nAnswer: k**(4075\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 29268?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12348798, -12348799, -12348800, -12348801, -12348802?\nAnswer: -12348803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 10\/7, 3\/5, 149\/5, 2 in increasing order.\nAnswer: 3\/5, 10\/7, 2, 10, 149\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2982 by 4.\nAnswer: -1491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9717*z**3\/4 - 27703155*z**2\/4 + 6936774*z - 8556 = 0.\nAnswer: -2852, 4\/3239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13216\/2478)\/(76\/18))\/((-3)\/3*-2).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*x**3 - 2*x**2 + 226*x**3 - 2 + 2*x**2.\nAnswer: -48*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 22*j. Let w(q) = -14*q. Let n(f) = 5*b(f) + 8*w(f). Let s(x) = -52*x. What is s(n(z))?\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 42, 29 in ascending order.\nAnswer: -1, 29, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 4*a + 3. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(9\/10)*w**(-1\/3)*(w**5\/w)\/w**(-10\/7) assuming w is positive.\nAnswer: w**(1091\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 43. Let i(a) = -2*a + 30. Let f(d) = -d + 14. Let c(q) = -7*f(q) + 4*i(q). Give 11*c(v) + 6*s(v).\nAnswer: v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, l: 6, p: 7}. What is prob of picking 2 l and 1 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1, 7\/2, -2, 0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 63 - 131 - u + u**2 + 67. Let y(k) = 32*k**3 + 8*k**2 - 16*k - 16. Let d(m) = -16*g(m) + y(m). What is the third derivative of d(z) wrt z?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22312420)\/(-780) + (-14)\/(-6). Round m to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 49?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.425, 0.01, -3 in increasing order.\nAnswer: -3, 0.01, 0.07, 0.425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -311*w**7\/7 - 530*w**3\/3 - 605. What is the third derivative of r(j) wrt j?\nAnswer: -37320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*p**2 + p - p)*(-2 - 2*p + 2)*(-45 + 39 + 53)*(p - 7*p + 2*p) to f*p**4 + l*p**3 + s*p**2 + i*p + v and give f.\nAnswer: -3008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6\/13, -6, 9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -21 + -63 + (64 - -56).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*n - 3*f, -2*n - 5*f + 2 - 4 = 0. Let q = -4 + n. Calculate the remainder when 63 is divided by (8\/(-10))\/(q\/200).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18975280.\nAnswer: 2, 5, 29, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149266582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -912\/1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2243*w**2 + 16*w - 6. What is the ten thousands digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/133*(8\/18)\/(428\/(-2247))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {d: 2, y: 9, q: 2}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from smjttsjooomso.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277\/5 + 55. Let s = 0.03 + 6.97. Let u = s - 7.1. Sort n, 1, u in ascending order.\nAnswer: n, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 - c - 1. Let u(m) = 2*m**3 - 2*m**2 + 7*m - 2. Calculate u(f) - 2*w(f).\nAnswer: 6*f**3 + 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6804 and 3892.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 4*m + 5*m)*(89 + 2*m - 32*m**2 - 89) as c*m**2 + s + w*m**3 + u*m and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 2*t + t. Let i(z) = -42*z + 14*z - 4*z - 28*z. Give u(i(m)).\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -80, -144, -226, -332, -468, -640?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5157596 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 + -491. Suppose -3*q + i = -j, 3*j + 276 = 4*q - 15. Suppose 2*s = -2*s + q. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(0 + 12)*-3. Let p = -0.15 + 0.05. Let n = 10 + -9.5. Which is the closest to y? (a) p (b) n (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4418571315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 19146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 531514462 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/6867 + -1229201\/27468. Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*u - 16, -5*x = -16*u + 20*u + 16. Solve i = -3*p + 5, x*p - 1 = -2*p - 3*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. What is the first derivative of -1 - x + 9 + u**2 - 4*u**2 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 3640?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t**2. Let a(l) = l**2. Let n(y) = -9*a(y) - x(y). Suppose 12 + 0 = 3*b. Let q(f) = -3 - b*f**2 + 2*f**2 + 3. What is q(n(s))?\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p - p + (2*p - 2*p - p)*(-2*p - 3 + 3) - 36*p**2 + 7*p**2 - 35*p**2.\nAnswer: -61*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/85)\/(20\/(-34)). What is the biggest value in 0.06, i, -14\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.14, -2\/7?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 26 = 5*j, -j = -4*r - 4*j + 4. Let k be ((0 + -4197 - 4)*-2)\/r. Let u = 6516 + k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 128814\nAnswer: -257628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069599 is divided by 634.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/6 + 2*b**2. Let u(o) = -6*o**2 + 4*o. Let h(l) = 2*l**2 - 2*l. Let k(g) = 2*h(g) + u(g). Give k(m(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 3*s - 0*s - 4*h, -3*h = -5*s - 441. Let q = 6 + -11. What are the prime factors of ((-2)\/(-4))\/(q\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 316*f - 7006. Calculate q(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u - 2*u + 3*u)*(-4 + 3 + 0)*(7 + 9 - 3) to y + d*u and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798994.\nAnswer: 2, 7, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13321*a**4 + 312*a**3 + 5805*a + 303.\nAnswer: -159852*a**2 + 1872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/33*2*(-1)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1054 (base 7) to base 9.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/(z\/z**(3\/4)))\/(z**7*z\/(z\/z**7)) assuming z is positive.\nAnswer: z**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 175.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 1, q: 1, v: 1, l: 1}. What is prob of sequence lqj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11 + 27 - 6*s + 38 - 2*s. Let n be a(6). Calculate the highest common factor of 60 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1426 = -3869. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -35*a + 72. Let u be n(2). Put -1, -24, u in increasing order.\nAnswer: -24, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114562 (base 16) to base 4.\nAnswer: -10110111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*h - h**3 - 509*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = 0, 0*y = -3*y + w + 47. What is the remainder when y is divided by (-4)\/18 - 94\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 26*q - 336, 3*o + 2443*q = 2444*q + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13*i = 15*i - 9084, -4*i = 5*j - 11352. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 181*f - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:41 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -322, -1390, -3346, -6334, -10498?\n\"Answer: -24*n**3 - 300*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) + sqrt(171)*3 + sqrt(171)))\/(sqrt(1089) + 4*sqrt(1089)).\nAnswer: 5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30268 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 2736043\nAnswer: 161426537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - (-4 + (28 + -4 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80268 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 4 (c) 2\/15 (d) 2\/5 (e) -995\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 3429 (c) -7 (d) -15 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*v + 1. What are the prime factors of ((-207)\/18)\/(v + (-27)\/(-30))?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93680819.\nAnswer: 5843, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 11?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393590 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 41*z + 248. Let x(g) = g + 31. Give -7*t(m) + 56*x(m).\nAnswer: -231*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -325282 less than -0.4?\nAnswer: 325281.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2573*r + 11817 = -1070*r + 888 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134060*l**3 - 8*l**2 + 29*l - 19.\nAnswer: -804360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 + 26 = 0. Let k be 4*(-2)\/(8\/(-18)). Let t = -306 - -309. Solve -3*z + k = t*j, -3*z + 4*j = 24 - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let b be (15\/6 - -2) + (-2)\/(-4). Suppose -2*k + b*k - h - 33 = 0, 0 = 2*k - 4*h - 12. Let t(p) = -k*p + 23*p - 5*p. Calculate d(t(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 18 + 8 - 10*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 47. Suppose -2*t - t + a = 0. Solve -t*w + 2*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 2*n**2 - n + 664. What is the lowest common multiple of a(0) and 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/60 + 2*p**5\/5 - 13*p**4\/24 - 5*p**3\/2 + 629*p - 3. Factor u(c).\nAnswer: -c*(c - 15)*(c - 2)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*18\/(-27))\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 - -0.09. Let v = 5.2 + -0.2. Put i, v, -2\/7 in increasing order.\nAnswer: -2\/7, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/21 or -90?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4439447, -4439453, -4439445, -4439417, -4439363, -4439277, -4439153?\n\"Answer: i**3 + i**2 - 16*i - 4439433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (31388\/(-40356))\/((-28)\/30)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*l**2 + 1 as r + y*l**2 + f*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from vntphpphhppvhphp.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 + s + 1. Let r be q(0). Let l(k) = 11*k**2. What are the prime factors of l(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*j**4 - 11 - 1913*j**2 + 1916*j**2 - 4*j**3 to d + u*j + k*j**3 + y*j**2 + q*j**4 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 14*i + 7*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 1. What is the least common multiple of 27 and n(-1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7693*q + 1800. Give a(0).\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.019 + -0.019. Let g = 48.9 - 53. Let w = 0.1 + g. Which is the nearest to 2? (a) w (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*g + 19 - 1 = 0, -g = -5*o + 23. Suppose -4*l + 16 = -2*n, 5*n - 29*l + 15 = -24*l. Solve -o*d = n*u - 18, u - 4*u = -2*d + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*p + 2*m + 12, 5*p - 2*m = 0. Let f be p\/(0 + 6\/(-153)). Suppose -t - f = -4*t. Calculate the remainder when 32 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -4. Let l be 3\/i - 62\/(-6). Suppose 2*q = 2*s + 8, 0 = 2*q - 4*q - 4*s - l. Sort 3, q, 0.4 in descending order.\nAnswer: 3, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2590*c**5 - 24*c**4 + 6125*c**2 - 15.\nAnswer: 155400*c**2 - 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50557)\/(-12) + 156\/(-1872). What is the greatest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -32*w**2 - 234*w - 413. Determine x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.58722 nanograms to micrograms.\nAnswer: 0.06258722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*h - 355 - 701 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -1\/73591 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 2, -292, 0 in decreasing order.\nAnswer: 2, 0, -2, -6, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2486048 and 0.5.\nAnswer: 1243024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -561031*g**3 - 97*g + 418 wrt g.\nAnswer: -3366186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/50)\/((-204)\/510))\/(2\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -19. Suppose 0*h = 4*h - r. Calculate the highest common divisor of h and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57929 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 a when four letters picked without replacement from amnmanmaaaamamanm.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564832 is divided by 3587?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 12*i + 36. Determine l(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -111176?\nAnswer: -111173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 633907380 and 22?\nAnswer: 6972981180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (-27)\/5)\/((-6)\/(-15)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 14*t**2 - 11*t - 13. Let b be v(13). Suppose -b*z = -9*z + 516000. What is z rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4856*h**3 + 123*h + 900367 wrt h?\nAnswer: 14568*h**2 + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8991998 * 7\nAnswer: 62943986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24450 (base 11) in base 12?\nAnswer: -18409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29632 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 20 = 0. Let h(a) = -a**3 - 4*a**2 - 2*a + 16. Calculate the least common multiple of h(0) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1341201 (base 5) to base 3.\nAnswer: -1101222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let r = 13 + j. 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 a(k) be the second derivative of k**4\/3 - 2*k**3\/3 - 4*k**2 - 5*k. Factor a(h).\nAnswer: 4*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*j + 271*j = -25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1360 (b) 12 (c) -2\/3 (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 12 = 7*c. Let f be 119\/126 + c\/((-6)\/1). Factor 0*g - f*g**2 + 0 - 2*g**3.\nAnswer: -2*g**2*(9*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691989, -1383917, -2075845, -2767773, -3459701?\nAnswer: -4151629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238782, -477761, -716704, -955593, -1194410, -1433137?\n\"Answer: 3*p**3 - 239000*p + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -17. Suppose 2*c = 4*c + l - 6, -m*l = -c + 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 78. Which is the second biggest value? (a) -1 (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12390 a factor of 7487867650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d + 1. Let j be n(-1). Let a(z) = z**3 + 6*z**2 + 3*z - 6. Let m be a(j). Suppose -c - 57 = -m*c. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {d: 4, n: 1, l: 1, i: 3, e: 3, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359650.\nAnswer: 2, 5, 71, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7615280*n + 12625785.\nAnswer: 7615280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 4. Suppose 0 = -2*i + q*t + 10, -2*i - 2*t + 4 = 14. Let u(k) = k**3 - k**2 - k + 133. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/14 (b) 4382\/5 (c) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28)*-7*(-2)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 88 = -152. Let a = w + -14. Is 28*(a\/(-8))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:07 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9f6 (base 16) to base 10.\nAnswer: -51702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222822.\nAnswer: 2, 3, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19.8 (b) 1 (c) -0.3 (d) -0.06 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 398 times 448\nAnswer: 178304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-10) - ((-728)\/1001)\/((-16)\/(-88)).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 - -11) + -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1792564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/10 - (-1)\/2. Let l(w) = w. Let z be l(a). Solve -4*h + z = -2*x - 1, -2*x - 15 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((2 + -1 - -5) + 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1932 + 1087. Let i = 845.001711 + d. What is i rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10416, -4, 0.2, -3\/4 in ascending order.\nAnswer: -10416, -4, -1, -3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 357, 712, 1067, 1422?\n\"Answer: 355*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s + 2*s - 4*u, 0 = -3*s + 5*u. Let b be (-5 - -3 - -2)\/(s + -2). Solve 0 = 2*c + 2*t + 2, b = -4*t - 5 - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 1593.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 0.004 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c - 2*m + 108119 = 0, 0 = 5*c - m - 108113. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104034?\nAnswer: 2, 3, 7, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -25*h. Let l(g) = g**2 - 10. Let t be l(0). Let j = t - -9. Let x be z(j). Solve 0 = 5*w - 0*w - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217934231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let f(i) be the first derivative of 257*i**3\/6 + 135*i + 44. Let w(p) be the first derivative of f(p). Determine a(w(j)).\nAnswer: 132098*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -61. Let o be (d + 1401)\/((-8)\/(-3360)). Suppose 22*n = 28*n + o. What is n rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4247097 is divided by 5192.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n. Let p be 8\/4 - (-1 - 0). Suppose -p*y = -5*u + 80, -u - 3*u + 2*y = -64. Let i(h) = u*h - 9*h - 9*h. Give b(i(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2 = -10, o + 14*j - 33 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:08 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 47*n**2\/2 + 1633*n\/2 + 5041\/6.\nAnswer: (n - 71)**2*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 12. Let i(f) = -f**2 + 8*f + 12. Let p be i(9). Let w be m(p). Does 9 divide 4\/w*134 - 8\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 58.2 times 12.4\nAnswer: 721.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-1)**2 - sqrt(13))*-4 + sqrt(26)\/sqrt(2)*2*-5.\nAnswer: -1872 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from dxdfdfffxxffgfddfd?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 672301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5 + 66*j**3*u + 3*j*u - 23*j - 1 wrt j.\nAnswer: -20*j**3 + 396*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 2. Let c be v(0). Suppose -c*a - 3*y + 1 = 6, 0 = -5*a + 3*y + 40. What is the third derivative of 2*z**2 + 2*z**5 - 5*z**2 + z**a wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -65*m**3 + 51*m**2 + 23*m + 29. Let h(t) = 33*t**3 - 25*t**2 - 11*t - 14. Let l(f) = 7*h(f) + 4*i(f). Is l(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-8))\/(45\/40). Let x(b) = -b - 4. Let t be x(-3). What is the closest to t in r, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 951, 2548, 4793?\n\"Answer: 324*x**2 - 23*x - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Let v be f\/2 - (-6)\/12. Determine k, given that -1\/3*k**v + 0*k + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/9)*l*l\/((((l*l**(-14))\/l)\/l)\/l)*l)\/((l*l\/(l\/l**(4\/5))*l)\/l*l*l\/(l\/l**(-12))*l) assuming l is positive.\nAnswer: l**(1184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3335\/4 equal to -833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10614 (base 7) to base 3\nAnswer: 10201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -19 + (-184)\/(-23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2 - 2)*((1 - 2 - 1)*(4 - 2 - 4) - 3 + 2 + 3 + 2 + 1 - 2 + 1 - 1 - 1 - 317 - 237 + 633 + 7 - 3 - 3 + 1 + 3 - 5 + (1 + 4 - 3)*(-4 + 5 + 1)).\nAnswer: 178*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*m - 300*m = -71459. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288334012.\nAnswer: 2, 89, 419, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 51. Suppose a*b + 4*f - f = 22, 5*f - 18 = b. Solve -b*u = -0*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 8:15 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 484314 and 484311 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose v*k - 4 = 3*n - 1, k = 3*n + 3. Suppose k = -2*z - 5*r + 34, z + 2*r - 36 = -3*z. Calculate the greatest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 2\/3, 1\/10, -69, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20652 smaller than 20733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -108, -165?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:35 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 3196*t + 604176 = 0.\nAnswer: -492, -307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -48*t**2 - 12*t + 7. Let w(l) = -49*l**2 - 15*l + 6. Let y(x) = -7*h(x) + 6*w(x). List the prime factors of y(-4).\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1542 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let g(s) be the third derivative of -s**7\/1680 + s**5\/10 - 2*s**2. Let p(d) be the third derivative of g(d). Calculate p(w(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -42. Let r(j) = -7*j. Let m be r(-1). What is the highest common divisor of p and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v - 1. Calculate the remainder when p(6) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - -3 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 + 20 = 0. Let l(g) = 10 + 0*g + 4*g - g**2 + 4*g. Does 10 divide l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77024 is divided by 77014?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/5))\/(((l*l**(1\/12))\/l*l)\/l))**(4\/9)\/(l\/(l*(l*l**3*l)\/l)*l*l**(1\/2)*l*l**7*l\/(l\/(l\/l**(-4))*l*l)) assuming l is positive.\nAnswer: l**(-2233\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 8}. Give prob of picking 1 l and 3 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = -4*t. Let v be 60\/(-32) + t + 199\/8. Find the second derivative of -3 - v*c - 61*c**3 + 3 + 16*c**3 wrt c.\nAnswer: -270*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 23 = -3*u, 10 = 2*u - 3*i - 12. Solve -8 = 3*p - u*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 13*j + 3 - 13*j)*(0 - 1 + 5).\nAnswer: 8*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 885\/67, -255, -2 in decreasing order.\nAnswer: 885\/67, -2, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19*u**2 + 11*u - 25. Let v(c) = 9*c**2 - 5*c + 12. Calculate 6*j(g) + 13*v(g).\nAnswer: 3*g**2 + g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1. Let c(f) be the second derivative of 1\/12*f**4 + 0 + 1\/2*f**2 - 2*f + 0*f**3. Give -2*c(n) + 2*s(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 65 - 525 = 0. Let v be 6\/(-15) - (-84)\/10. Suppose -24*x + f*x = -v. Solve -8 = -2*u + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/5 - j**4\/6 - 4*j**3\/3 + 7*j**2. Determine u, given that l(u) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from piyqnqqqpypyny?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507 (base 16) in base 15?\nAnswer: 18dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.758 take away 9801764900?\nAnswer: -9801764824.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4 + v**3 + v + 23. Let c(p) = -3*p**3 - 2*p**2 - 1. Calculate -3*c(d) - 2*u(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -5, -37, -17 in descending order.\nAnswer: 3, 1, 0, -5, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382215 is divided by 752?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -0.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10115 + 162513?\nAnswer: 172628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 77*h**3 - 2*h**2 + 2*h - 1. Suppose 10*l = 5*l + 100. Suppose y - l = -0. What is the remainder when g(1) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - -5) - 2 - (-22 + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**4 - 5*y + 5*y + (3*y**4 + y**4 - 2*y**4)*(-3 + 3 + 2) + 4*y**4 - 8*y**4 - 12*y**4 in the form f + x*y**4 + s*y**3 + p*y**2 + t*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3154 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7667, 7665, 7661, 7655, 7647, 7637, 7625?\n\"Answer: -c**2 + c + 7667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00824 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + 0 + -3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*r**2 + r**3 + 264*r**2 + 328*r**2 - 19*r + 3*r**3.\nAnswer: 4*r**3 + 106*r**2 - 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 4130.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(45\/(-2)) + (-40)\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3*l - 19 + 0*l**3 - 6855*l**2 - 3*l**3 + 0*l**3.\nAnswer: -3*l**3 - 6855*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -1)*(-2 - -1). Suppose 3*w = 2*w + s. Suppose -13*x - 96 = -29*x. What is the lowest common multiple of w and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -95 + -4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 2, z: 1, t: 2, q: 4, f: 2}. Give prob of picking 3 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63391283 divided by -9299?\nAnswer: -6817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (128\/352)\/(36\/(-22)). Which is the closest to 1\/2? (a) 1\/33 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*u = -10028 + 40901 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4394 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19*q - 5. Determine r(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 5. Suppose 13 = 3*y + 3*m - 2, -4*y - n = -3*m. Let q = 4 + y. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 2, a: 2, u: 4}. What is prob of picking 1 u and 2 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 932 = -832. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.1 - -87. Let k = n - -1.1. Let p = -5.2 + 5. What is the biggest value in p, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3397 + 1964. Let t = -911 - w. Let k = -271 + t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 51*d**7\/7 + 50*d**3 + 43*d - 2. What is the second derivative of o(m) wrt m?\nAnswer: 6120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 28*i**2 + i + 76. Calculate t(-28).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63982910 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 9*h)*(-2 - 2 + 3)*(0 + 0 + 1).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 3, -9 in descending order.\nAnswer: 7, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-3))\/(7\/21). Suppose 5*u + 4*z - w = 13, 14 = 4*u + 3*z. Solve 5*s = -u*b + 2 + 2, 4*b - 3*s = -18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -983.2199\nAnswer: -88.489791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpstttas. Give prob of picking 1 p and 3 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*v - 3*d + 307, 0 = -2*v + 4*d + 136. What is the greatest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z + 52. Let p be r(7). Let c be (1\/(-3))\/(9\/(-54)). Solve 5*x + 32 = -p*t, c - 30 = 5*t + 2*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2 - 33*w - 2. Suppose -4*t - 5*t = 54. Let q(g) = -4*g**2 + 16*g + 1. Calculate t*a(b) - 13*q(b).\nAnswer: -2*b**2 - 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 46 = -5*t - 256, -5*t = -t + 91 + 77 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 80?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -7 - 108 - 11 - -14.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 71) + 3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -16, -22, 4 in ascending order.\nAnswer: -22, -16, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 3012*p - 24229. What is z(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -26*s + 2390. Calculate h(92).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w. Let n be s(-1). Suppose n*f + 12 = 3*f. What is the least common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4131 and 7\/106354.\nAnswer: 439348374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1519*c**3 + 2473*c*t**3 - 128*t**3 - 449*t**2 - t - 164 with respect to c.\nAnswer: 4557*c**2 + 2473*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -16. Let o = -85.08 - -0.08. Let s = 85.5 + o. What is the smallest value in s, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + l + 13, 3*p + l + 3 - 4 = 0. Suppose -p - 12 = -7*n. Sort 3, -3, 9, n in increasing order.\nAnswer: -3, n, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 12) to base 2.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.4, -6.7, -0.3 in descending order.\nAnswer: -0.3, -0.4, -6.7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3716 = -4*t - 4*y, -5*y - 911 = -t - 0*y. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18*d - 14. Let v(b) = 12*b - 9. Let g(l) = -5*i(l) + 8*v(l). Suppose -u = u - 8. Let q be g(u). Calculate the greatest common divisor of 198 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 237, 368, 515, 684, 881, 1112, 1383?\n\"Answer: z**3 - z**2 + 117*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 54. Let i = 16 + -16. Suppose i = -t*a + 119 - 27. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*m - 189*m + 792*m + 18.\nAnswer: 807*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -12. Suppose q - y = -q. Let d = -17 + 87. What is the highest common divisor of q and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - -7. Let k be (3\/1)\/(1 - 0). Suppose -4*x = -4*r + 308, k*x - 237 = -5*r + 2*r. Calculate the greatest common divisor of i and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-7) + 159\/371.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 240 = -3*z, 2*o - 3*o = -5*z - 26. Let v = -831 - -834. What is the second derivative of -o - v*b**3 + 51 + 15*b wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864052 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 2, g: 3, w: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*3*(-990)\/297.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/3 - 311*l**2 - 3730*l + 708400\/3 = 0. What is l?\nAnswer: -920, -35, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*w = 27, -o - 82*w = -87*w - 31 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + -12 - (-2 - -2)) + -15 - -44.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 11. Let i = -13 - m. Sort i, 0, -3.\nAnswer: i, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677650 = 19*n - 69*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/((-81400)\/(-3900))*-11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 2. Give y(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 18*o - 4. Put o, 1, 8 in decreasing order.\nAnswer: 8, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:15 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684) + 1 + sqrt(684)*-2*-3 + 6*(-3 + sqrt(684)*1)*-3)**2 + 2.\nAnswer: -6996*sqrt(19) + 85575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**3 + 88737*m**2 - 88737*m**2.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 30*h**2 - 25*h + 60.\nAnswer: -5*(h - 1)*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1568 divided by 11184\nAnswer: 98\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/40 + -3\/8. Sort 3, n, -0.1.\nAnswer: n, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1227 + 378 - 14*(6\/(-4))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3 + 13*h**2 + 1 - h**2 - 3. Calculate c(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:55 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 39. Give x(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 276*d**5 - 721*d**2\/2 - d - 400. What is the second derivative of m(r) wrt r?\nAnswer: 16560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = 5*y, 3*x + y = 5 + 1. Suppose 0 = k + 2*w + 8, w = 4*k - 3 - x. Solve -4*i - c = -k*c + 12, -5*i - 40 = -5*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*j + 58 = 0, -2*j = 2*g - 5*j - 39. Suppose -n = -4, -n - n - g = -5*u. Sort 1, u, -3 in descending order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -386, -3288, -8142, -14954, -23730, -34476, -47198, -61902?\n\"Answer: -d**3 - 970*d**2 + 15*d + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, 4, -0.3395 in descending order.\nAnswer: 4, 3, -0.3395, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2, 5.\nAnswer: -45, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2508, -5102, -7696, -10290, -12884?\n\"Answer: -2594*g + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - 10113123?\nAnswer: -10113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 51*c**2 - c + 3. Let l(z) = -103*z**2 + 2*z - 5. Calculate 5*i(t) + 3*l(t).\nAnswer: -54*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/286749 and -149\/3446052?\nAnswer: 1561061556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 33 = -4*d, 0*d - 20 = 3*d + y. Let i = 9 - d. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnlsnsssnssn. What is prob of picking 2 s and 2 n?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118430 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + (-2 - 1 - 2)*(-3 - 3 + 1))*(-1 + r**2 + 1).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1300198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*g + 594 = -142*g. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + 2.92. Let d be 0 + 0 - (-4)\/5. Let x = 12351 + -185263\/15. Which is the third biggest value? (a) x (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10670 and -43\/1191520.\nAnswer: 115577440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v + 8*v + 83 = -65. Let s be 2\/12 + 177\/(-54). Let q = -47\/18 - s. What is the second smallest value in q, v, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 1, l: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518583753 a multiple of 10738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 10*n**2 + n - 26. Let z be i(8). Let r = z - -128. Let b(k) = -k - 14. Let u be b(6). Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.1\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -3962?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 3. Let s be g(-1). Let o(u) = u - s*u + 0*u. Let z(j) = -2*j. Calculate o(z(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12203\/3 - 4068. Which is the third biggest value? (a) -826 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*u + 7, 0 = -2*l - 2*l + u + 1. Find the common denominator of (l*4\/18)\/((-8)\/50) and (-237)\/(-60) - -1*2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-6))*w**(-27)*w**(-12\/5)\/w*w*w\/(w**(-5\/13)*w) assuming w is positive.\nAnswer: w**(-2276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -12.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 19689?\nAnswer: -19691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 744 = 3*a, -926 - 91 = -4*a + 3*z. Let x = 83040 - 83031. What is the greatest common factor of a and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 21, 4, -2, -132 in descending order.\nAnswer: 21, 4, 3, 2, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -28*n + 4. Let g(i) = 158*i + 2. Give g(q(b)).\nAnswer: -4424*b + 634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 540846973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbjjdjdxjjdjffbax. Give prob of sequence jf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiieiiiiiiiiiiiii. What is prob of sequence ii?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trb when three letters picked without replacement from rppbptktbb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11538 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from ikikikkikkd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(112) - (sqrt(112) + 0 + sqrt(112) + -3) - 6*(sqrt(49)\/sqrt(7) + 1)).\nAnswer: 18 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.517975 rounded to three decimal places?\nAnswer: 1.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17567 is divided by 17508?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -66. Let i = c + -25.00083. What is i rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 180*s. Let q(o) be the first derivative of 0*o**2 + 0*o + 121 - 2\/3*o**3. Calculate y(q(m)).\nAnswer: 8*m**4 - 360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9) - (-31300)\/225. Suppose -10*j + 151 = -t. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 + 7*n - 20. Let s be (-240)\/660 - (-47)\/99 - 34\/(-18). Determine j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94940, -189928, -284916, -379904, -474892, -569880?\n\"Answer: -94988*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:59 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:51 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 481273258567?\nAnswer: 481273258565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 621630 divided by 3?\nAnswer: 207210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - c = a - 6, -2*a = 2*c + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 308.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -268 (b) -1 (c) 1215 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmommdoomoomo. Give prob of sequence odm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -413, -410, -407?\n\"Answer: 3*i - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00392637 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q**(1\/4))\/(q\/(q**(-2)*q))**(-4\/17))**(-9\/10))**40 assuming q is positive.\nAnswer: q**(-1899\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 899 + -903. Let u be -2 - (-5 + x\/(-2)) - -338. What is the third smallest value in -2\/5, u, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 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: Simplify (-5*5*(sqrt(588) + 0 - sqrt(588) - sqrt(588))*3)**2.\nAnswer: 3307500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssbcbbcc. What is prob of sequence scb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*x + 3636 - 3616, -4*x - 62 = 10*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65834596?\nAnswer: 2, 16458649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 14) to base 15\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 154 = 5*w, -w + v + 94 = 2*w. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5543 and 1928.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 454949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/184*1\/(-12))\/((-18)\/(-32))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyy. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-6)*((-65)\/15)\/13\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5051173, 5051134, 5051095, 5051056, 5051017?\n\"Answer: -39*p + 5051212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 131?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 2. Let r be u(17). Suppose 4*t + k = r, 0 = -t + k - 6*k + 19. Solve t = -f, -5*i - f - 20 = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1 - 5. Suppose 2*l + 3*l = -4*c - d, -2*l = -2*c + 8. Is l + 0 + 2 - -13 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8468 - -8472. Which is smaller: g or 3\/1483?\nAnswer: 3\/1483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231727\/16 - -14478. Calculate the common denominator of c and -59\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (32*75\/(-480))\/((((-4)\/18)\/(-2))\/(-1))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/2 + (-13314)\/2219?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3544*o + 3567*o + 3548*o - 14220*o - 4*o**2 + 3561*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*y + 447 = -246 + 39 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 9*o**2 + 9*o - 7. Let u be b(-10). Let t be (-2)\/(-9)*3 - 2\/u. Let n(i) = 3*i + 98. What are the prime factors of n(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -15, -426 in descending order.\nAnswer: 1, -2, -15, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 147. Suppose 4*l - m + 26 = 0. Solve 2*v + l = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 + -3 + 4 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 - 2475*h**2 - 147843*h - 145365 = 0.\nAnswer: -55, -1, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*b - 4*g - 304, 4*b - 408 = 2*g. Suppose 2*t + 3*t - b = 0. Let u = 38 - t. Calculate the least common multiple of 22 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -556589*k**2 + 2451073?\nAnswer: -1113178*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12229247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-142)\/(-46) - 16\/184. Let i be 2\/(2*q) - (-266)\/(-114). Which is the closest to i? (a) 5 (b) 10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2)*-1 - sqrt(2)) + (sqrt(16)*-2)\/sqrt(8).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*n = -2010, f - 2*n - n - 666 = 0. Suppose -18*v + 10*v = -f. What is the remainder when v is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4670, 18733, 42172, 74987?\nAnswer: 117178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10269*x**2. Let f(h) = 30630*h**2. Give f(k(z)).\nAnswer: 3230005817430*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 313. What is the common denominator of ((-8)\/(-4))\/((-200)\/u) and 21\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 156322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*u = 0, -3*w - 18 = -4*u - 6 - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-10) + -2 + 1 - 112\/(-224). Let o = -5 + 1. What is the smallest value in -3, 2\/13, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h + 20*h = -16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 - 258.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.7543416 rounded to two decimal places?\nAnswer: 431.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1695.\nAnswer: 2\/1695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 3061?\nAnswer: 214.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1950535 microseconds to seconds.\nAnswer: 0.0000001950535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/738 and -11\/16596.\nAnswer: 680436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t**2 - 11*t + 6. Let c be p(10). Sort 0, c, 2 in decreasing order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132658111 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -196235*f + 47881345. Determine b(244).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 = s, 2*s - 296 + 295 = -x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 832 = 4*o, 0 = 5*b - 30*o + 35*o + 1060. Are b and -212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -418 - -444. Let x be (-304)\/(-10)*65\/y. What is the greatest common divisor of 608 and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122223113 - 1?\nAnswer: -3122223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15297 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 173170874 + -5?\nAnswer: 173170868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22324, -13427, -4518, 4409, 13360?\nAnswer: 22341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*o - 2 = -13, 44 = -4*k + 6*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y - 16. Suppose -n + 18 = -4*p, -5*n + 5*p + 14 = -16. Let d(j) = -2 + j**n - 2 + y. Let r(a) = -2*a. Give d(r(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 12563?\nAnswer: -1255c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 + 4*w + 22. Give i(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + y + 25 - 27, 0 = -2*l - 3*y - 7*y - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/14311 + 2074255\/2404248. Calculate the common denominator of 93\/20 and u.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -5*c**5\/4 + 5*c**3\/3 + 14*c. What is the second derivative of v(p) wrt p?\nAnswer: -150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*m + j, 2*j = 46 - 56 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 649 + -649.2155. Let w = -0.0155 - y. Which is greater: 56\/9 or w?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 1 - -3 - 1. Let w(p) = 4*p**2 - p + 1. Let i be w(1). Suppose q = i*a - 23. Solve t = 2*r - 2 + a, 12 = -3*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4\/61103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2320 divided by -40.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375*q + 37*q + 3416 - 11696 - q**3 - 1044*q with respect to q.\nAnswer: -3*q**2 - 1382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-1 + -7)\/(-4). Suppose 5*r - 4*r + 16 = 4*c, -3*r + 32 = d*c. Let b be 45\/18*18\/15. Solve b*h = 4*h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 116 + 360. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, k: 4, v: 5, h: 3}. What is prob of picking 1 v and 2 h?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*u + 61. Suppose 4*w - u = 4*j, 4*w - 7 = -w - j. Suppose -w = -2*y + 8. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168546626 rounded to 6 dps?\nAnswer: 0.001685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1038?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/43)*j**(-1\/10)*j*(j\/(j*j*(j\/((j*j**(3\/8))\/j))\/j*j*j))\/(j*j**(-3\/14)) assuming j is positive.\nAnswer: j**(-29949\/12040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - n - 3*n)*(-31*n + 26*n - 81*n) + 3*n**2 + 0*n**2 - 2*n**2 as z*n + x + s*n**2 and give s.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**14*i))\/(i\/(i\/(i*i\/i**7*i)))*i*i**(-4)*i**17*i assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 46*b - 4992 = 0. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 + 6 - 6 - 17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174795 is divided by 1840?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*q**4*u**2 - 2*q**4*u - 2*q**3*u**2 - 16*q**2*u**2 - 5*q*u**2 wrt q?\nAnswer: 936*q*u**2 - 48*q*u - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9135 + 9132. Which is the smallest value? (a) g (b) 32 (c) -0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-4) + 565\/4 is divided by 42 - (-11 - (-6 - -1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85609 - -3852649\/45. Let r = o - 26\/5. Sort 5, r, -3 in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from krmkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -2841, -6387, -11351, -17733?\nAnswer: -25533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from crcrcccccrccrc?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 = -10. Suppose x*y + 2 = -0*y. Which is smaller: y or -2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8658 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 1, t: 10, y: 4, s: 1, l: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose -4*c - 643 = -w*j, 2*c - 3*c = 5*j - 1087. Suppose -651 = -4*u + j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1983 + 6002. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/70 and -13\/16975?\nAnswer: 33950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*k + 8*k + 1 + 7 + 4*k.\nAnswer: 14*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 3. Determine v(25).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13111102 + -3?\nAnswer: 13111033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -4, 5, 0 in ascending order.\nAnswer: -15, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -522*p - 6783. Let j be x(-13). Solve z = 5*d + 20, 0 = j*d + 3*z - 3 + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1907 + 4893 = 20*a. Let y = 377 - a. Calculate the remainder when 332 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32685 bigger than -334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 217192607 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-550)\/(-12) + 539\/154) - 8\/12?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 3*q - 15 = -15*b, 5 = -3*b - q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1288 - 1266.69. What is t rounded to one dp?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45042020?\nAnswer: 2, 5, 1471, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 30218 = -4*q, 5*q + 45272 = 3*u. Let a = u - 9538. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 228*a**2 - 3*a - 2. Let k be y(-2). Suppose -5*h - 3781 = 4*v + 826, h - v = -k. Let w = -488 - h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:27 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 16) in base 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + 5 + (1*(sqrt(363)*4 + sqrt(363) - sqrt(363)) - sqrt(363))*3)**2.\nAnswer: 990*sqrt(3) + 29428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-22) + (-70)\/(-22). Suppose 2*j + 3*j - 43 = 3*m, 0 = d*j - 4*m - 28. Solve -x - j = -4*w, -17 = 7*x - 3*x - w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132012340 (base 5) to base 8.\nAnswer: -2403504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0 + 8 + 2*k - 10. Let d be (4\/8)\/(2\/12). Let r be m(d). Solve r*p - 7*p = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 601\/110 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, v: 1, e: 2, m: 8, l: 1}. What is prob of sequence aam?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*d + 11, -4*s - 4*d = s + 6. Let j be (14 - 8) + 1 + -3. Do j and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2 - 2 + 3 + b - 2. Calculate the smallest common multiple of 10 and n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(21\/(-9)). Let n = 908 + -908.4. Let h = 59\/3 + -20. Put n, h, q in decreasing order.\nAnswer: q, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001008854 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/6 - 4*r. Let z = -12 - -14. Let l(m) = z - m + 4 - 6. Calculate h(l(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 2*a + a)*(-3 + 18 + 41)*(3*a - 2 + 2) in the form m + u*a + r*a**2 and give r.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9495 and -131.\nAnswer: -9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -26, -38?\n\"Answer: -12*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -21. Let v(d) = -7*d + 190*d**2 - 2 + 12*d - 189*d**2. What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/305481 and -82\/33.\nAnswer: 305481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*x - 3*x - x)*(-2*x**2 - 11*x**2 + 22*x**2) - 4*x**3 - x**3 + 3*x**3.\nAnswer: -20*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3944648 by -33.\nAnswer: -3944648\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -200, -306, -412, -518?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 33*a. Suppose 17*x - 327 - 64 = a. What is the remainder when 123 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - (-34 + 127 + -36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148281019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 3*m - 2. Let i(k) = k + 2. Let g be i(-6). Let p be r(g). What is the units digit of (-58)\/p - 4\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 32. What is i(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*b + 35, -14 = 4*o - b - 79. Suppose 6*j = 75 + o. Calculate the greatest common divisor of 165 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 7. Let b be y(5). Suppose 135 = 4*o - 3*j, b*o - 4*j - 70 = 33. Let f be ((-22)\/(-33))\/(2\/o). What is the greatest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9*3\/(-2). Suppose 4*z = -z - 10. Is i greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d**4 + 1\/60*d**5 + 0*d**3 + 0*d + 0 - 36*d**2. Let o(z) = -8*z**2. Determine h(o(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*v - 2*v. Let b(g) = 23*g**2 - g + 1. What are the prime factors of b(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*o - 38 = -o, 3*o + 15 = 0. Let v be (w\/27)\/((-1)\/9). Let y be 3*(28\/60)\/7. Which is the closest to 2\/5? (a) -0.3 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-20)\/12)\/(6\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/2*(-18)\/9. Let f = 11 - d. Let v be -1*(-3)\/(f + 1). Which is the third smallest value? (a) 0.7 (b) v (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*v + 31. Suppose -5*u - 1484 + 116 = -23*u. What is the remainder when u is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (84 - 75) + -5 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 102*z + 897. Let v be t(-11). Solve -1 = -2*g + 3*f, v*g + 8 = 19*g + 4*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10551631.\nAnswer: 19, 555349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7200 and 25950.\nAnswer: 1245600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63491794 divided by -63491794?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2 + 113*s - 3. Let k be c(6). Suppose -7*d - 3*g + k = -2*d, 2*d - 186 = -2*g. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103580.2 to the nearest one hundred.\nAnswer: 103600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r + 14. Let h(c) = 4*c + 5. Let t(p) = -3*g(p) + 8*h(p). Let i(d) = -d**3 - 7*d**2 + 2*d + 7. Let x be i(-7). Does 2 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 19 - (-7 + 17 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 2\/17 (c) -0.108 (d) -396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -50, 6, 0, 5, 5545, -5.\nAnswer: -50, -5, -3, 0, 5, 6, 5545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.4811 milligrams to kilograms.\nAnswer: 0.0001934811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 7, -31, -137, -341, -673, -1163?\n\"Answer: -5*j**3 + 11*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 87 - 35 - 32 - (-46 - 0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636 + 1353 = 79073*u - 79037*u - 1835 for u.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3 - 3 + 2*q. Let i(y) = 3*y - 1. Let z(t) = -22*t + 6. Let p(c) = 6*i(c) + z(c). Determine p(u(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -35, 14.8, -70, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((601 - 545) + (-6 - 0))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -158)*(-5)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6*k**2 + 6*k + 6. Let f be s(-8). Suppose -34*o + g + 165 = -32*o, 5*g = -5*o + 420. Let m = f - o. Put m, -4, -24, 1 in increasing order.\nAnswer: -24, -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19867076927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzsfzzc. Give prob of sequence sc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2384 + -2383. What is the second smallest value in 0.3, -0.4, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20282341 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109920027, -109920028, -109920029, -109920030, -109920031, -109920032?\nAnswer: -109920033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:35 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 + 279. What is the lowest common multiple of 46 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679446797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*b - 22*b + 28314 = 0. Which is bigger: b or 90?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140.23 + 141. Let l = x - 0.47. Let j = 16.5 + -2.5. Which is the second smallest value? (a) -4 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/62445 and 12\/115.\nAnswer: 62445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from lsljllllllllllsll?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 3*v**2 - 5*v**2 + (-2*v**2 + 2 - 2)*(-2 + 5 - 1 + (9 + 1 + 1)*(3 - 1 + 0)) to t*v**2 + n*v + z and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53719.63 days in microseconds?\nAnswer: 4641376032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3 + sqrt(117) + (sqrt(117) - 5*sqrt(117)) + sqrt(117))**2*4.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -109*k - 16. Give h(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000177 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2143 + -1723. What is the greatest common factor of p and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 3}. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:59 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52654 times -0.0809?\nAnswer: -4259.7086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 90?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1 + (-1 + 0 + 0)*(-4 - 1 + 6))*(3*r - 4 + 4)*(-18 - 18 + 10) in the form v + u*r and give u.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -581?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2938*k*l**2*n**2 - 996*k*l**2 - 5*k*l*n - 167*k*l + 2*k + 7*l*n + 2*n**2 - 6*n wrt l.\nAnswer: -5876*k*n**2 - 1992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143864.\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14) - (-1023)\/(-5859))\/(1\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -53, -3\/4, -0.03271 in decreasing order.\nAnswer: 0.3, -0.03271, -3\/4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1419774 - 2499.\nAnswer: 1417275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 48. Calculate the highest common factor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*u**2 - 95*u**2 + 70*u**4 - 5*u - 2 + 194*u**2 in the form x*u + v*u**3 + z*u**2 + d*u**4 + k and give d.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2952427 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1574.\nAnswer: -629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11064*p - 82. Does 169 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2077 + 2129 - 31*o**2 - 4315 - 645*o**5 wrt o?\nAnswer: -38700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5971\/(-21))\/(38\/(-114)) is divided by 422.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -17, -1, -24\/7, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.81878 nanograms in kilograms?\nAnswer: 0.00000000003781878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2353 + -1351. Let o(j) = -j**3 - 6*j**2 - 3*j - 15. Let d be o(-6). Suppose -d*r + g = 3*r. What are the prime factors of r?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*f + 116*f - 30 + 30 to a*f + k and give a.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -6 - 1) + (-148)\/38. Which is the second biggest value? (a) w (b) 0.3 (c) -0.5 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d*o*s**3 - 3140*d*o*s**2 - 56*d*o*s + 6333467*d*s**3 - 2*d*s + 2*d - 2*o*s**3 - 13*o + 4 wrt s?\nAnswer: 132*d*o + 38000802*d - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + w - 17 = -4*f, 5*f - 5*w - 35 = 0. Let i be (770\/(-3))\/((-18)\/1080). Suppose 5*l + 7700 = x, l + f*l = -2*x + i. Round x to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -453?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 8*h - 6. Let p be v(5). Suppose 2*x - 714 = -p*y, x = 1 + 4. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*z - 89, 2*z = -2*o - 0*z + 42. What is the remainder when 38 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/4, 2\/19, -9.\nAnswer: -9, -2, 2\/19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(756) - sqrt(756)*-1 - sqrt(756) - sqrt(756))*3)\/((sqrt(108) + sqrt(108)*1)\/sqrt(9)) + 0)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3.2. Let m = 138.1 - 138. Put r, m, -2\/3 in ascending order.\nAnswer: -2\/3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, 470 in ascending order.\nAnswer: -4, 0, 5, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v + 11*v - 297*v + (0 + 4 - 2)*(5*v - v - v) to g*v + y and give g.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008)*4 + 2)**2 + (-2 + -2*sqrt(1372))**2 + -1.\nAnswer: -80*sqrt(7) + 21623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = n - 900. Calculate the greatest common factor of n and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*h - 413*h + z = -17, z + 9 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/5252 and 19\/1356?\nAnswer: 1780428","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*k**4*s + 3*k**3*s + 2*k**3 - 8016*k**2*s wrt k?\nAnswer: -4272*k*s + 18*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 12*t = 34*t - 196. Let k = 118\/217 + -8\/31. What is the closest to -1\/4 in t, 0.53, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 41*m**2 - 2*m + 90. Let j(r) = r**2 - 3*r + 13. Let v be j(-4). What is the units digit of f(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1732)\/(-16))\/((-165)\/44) - (160\/75 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/110 - 235*w**4\/66 + 2238*w. Factor m(o).\nAnswer: -2*o**2*(o + 235)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((5*(-11)\/(-833635))\/(1 + 0)).\nAnswer: 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489696 (base 10) to base 5\nAnswer: 111132241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/2265, 2\/17, -0.02, 2\/13, 5, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2963 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**2\/k)\/k*k*k*k**(-1\/3)*k\/k**(-5)*(k*k\/k**(-1\/4)*k)\/k)\/(k**(3\/2)*k**(2\/19)*k\/k**(2\/7)*k\/(k\/((k*k*k**(-6))\/k))*k) assuming k is positive.\nAnswer: k**(20105\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let j(b) be the second derivative of 17*b**6\/360 + 3*b**3\/2 + 9*b. Let v(x) be the second derivative of j(x). What is v(q(z))?\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, y: 5}. What is prob of sequence yyyy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1}. What is prob of sequence mv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513686 is divided by 4363.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 142018*f + 710013. Determine b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + -0.6. Let w = 3.3 - -0.7. Let r = g + w. Which is the closest to 0? (a) 1\/3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/6 + 13*q**2\/2 - 40. Let v(c) be the second derivative of h(c). Let m(r) = -17*r. Give m(v(k)).\nAnswer: -68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-4)\/(-264)*1*2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/3 + -40\/3. Let q(d) be the second derivative of 3*d + 0 + 1\/20*d**5 + 1\/3*d**3 - 5\/2*d**2 - g*d**4. Calculate q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Solve 4*f - y*c = -16, c = -2*f + f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17653 + -60?\nAnswer: -176b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/(16\/160).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119186.1 litres in millilitres?\nAnswer: 119186100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13281 * 23909.\nAnswer: 317535429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 + 2 = 2*r, -4*m = -4*r + 28. Suppose r*x = 2*d + 602, -2*x + 202 = 4*d - 74. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -193, -192, -201, -226?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/2 + 2\/4. Suppose l*g = 6*g - 94. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j**(-2\/3))\/(j*(j\/j**(5\/6)*j)\/j*(j*j*j*j*j**(1\/3)*j*j)\/j))\/((j*j\/(j**2*j))\/j*j**2)**(2\/33) assuming j is positive.\nAnswer: j**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(((-156)\/26)\/108)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*q = -80, 5*l - 72 = -3*q + 8. Let m = l - 13. Suppose -4*u - 2*n = -m*n - 9, 5*n = 4*u - 13. Solve -5 = -u*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from viiiidiidididdiv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5559 divided by 6\nAnswer: -1853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 + 3*f - 1. Let m be l(2). Let q be m + (-4 - 6\/(-3)). What are the prime factors of q*(6 - 1)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 0, i - 4*q - 1 + 1 = 4 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(1\/6). Let o = -10 - w. Let s = o - -56. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -1.2, -5 in ascending order.\nAnswer: -5, -2, -1.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -76*v**2 - 1294*v - 33. Give h(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 2, b: 1, n: 9, r: 6}. What is prob of picking 1 b, 1 r, 1 t, and 1 n?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-433557)\/9*(-9 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*h + g*u**3 - 227*g*u**2 + 2*g*u + 15*g - 40*h*u**3 + 4*h*u**2 + h*u - 244*h wrt u?\nAnswer: 6*g*u - 454*g - 240*h*u + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 5283*i + 15840.\nAnswer: (i + 3)*(i + 5280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 7. Let l be b(5). Let x(p) = 6*p + 3. Let c be x(-3). Let w be 3\/c*l\/(-2). Is w bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-4 - -2). Suppose p = -j - 4. Let a be -2 + p*(-8)\/20. Solve -u - 1 = -3*h, -u + a = h + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.42 in 3, -4, 23931?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 12*m + 19. Let g be f(-7). Put 2, 3, g in descending order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:07 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 24328.22 nanometers?\nAnswer: 0.002432822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**11*b)\/b*b**21\/b)\/(b\/(b\/(b*b**(-2)))*b*b**(2\/63)*b) assuming b is positive.\nAnswer: b**(2014\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20874186 divided by -6.\nAnswer: -3479031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3*i. Let h(c) be the first derivative of 2*c**3\/3 + 5*c**2 + c - 190. What is -2*h(a) + 7*p(a)?\nAnswer: 3*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + (-2 + -2 - (-7 + 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-46)\/14)*(-83 - -88). Factor 2\/7*l**3 + 2*l + 6\/7 + m*l**2.\nAnswer: 2*(l + 1)**2*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53409\/21*3 - (-546)\/(-637)?\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 5. Let o be s(-4). Let d = 24 + o. Solve -i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8439 = y + 3*d, -y - 11230 = -3*d - 2815. Is y >= -8429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 d, and 1 q when four letters picked without replacement from eqdeeedqde?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c\/(c**8\/c)*((c*(c\/(c\/(c**7\/c)))\/c)\/c)\/(c**3\/c))**49)**(5\/9) assuming c is positive.\nAnswer: c**(-833\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z - 16 = 0. Let i be 7\/9 + z\/72. Which is greater: 1\/24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201231 is divided by 6030.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - (-7353)\/1230)*40\/48)\/((-38)\/(-304))\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8596024*p**3*w + 4756*p**3 + 1132*p wrt w?\nAnswer: -8596024*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8443593147 to the nearest integer?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14648 - -14645. Sort -5, 2\/9, v, -18\/7 in decreasing order.\nAnswer: 2\/9, -18\/7, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*d - 21, 0 = 3*w - 0*d - 5*d + 9. Let u(z) = z - 5 + 1 - w + 1. Calculate u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 56 = -4*g, g + 2*g = -2*s + 37. Let b be -2*2\/4 - 1. Let k = b + g. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191035*f**3*k*n - 507*f*n**3 - 503639*k*n**2 + 189*n**3 with respect to f.\nAnswer: 573105*f**2*k*n - 507*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 45812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-469)\/(-1675))\/(2\/10)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3084032 by 2.\nAnswer: 1542016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 22*g**3 + 8*g**2 - 59*g + 143. What is the smallest common multiple of i(6) and 3073?\nAnswer: 33803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 21*x**2 - 30*x - 74. Does 6 divide b(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*w = 6, -3*w + 8 = 5*m - m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -29 - 34. Suppose 0 = -4*l - 3*u + 157, -4*l - 3*u - u = -156. Let z = m + l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 3279383?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 347 = 5*w + 393, -28 = x + 5*w for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5039 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141273073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**2 - 1\/33*j**6 - 14\/55*j**5 + 220 - 3\/11*j**4 + 0*j + 0*j**3. Solve t(i) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -0.14 in ascending order.\nAnswer: -7, -0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575131605 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -930.\nAnswer: -107\/930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180988848 to the nearest integer?\nAnswer: 13453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(3\/5)*y*y)\/((y\/(y\/((y\/y**(-1))\/y))*y)\/y*y))**(1\/9) assuming y is positive.\nAnswer: y**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 224 + 236, -4 = -5*t - 3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101 + 120*o - 5*o**2 - 1551 - 1554.\nAnswer: -5*o**2 + 120*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.95 from -103098.\nAnswer: -103098.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/378*36*2\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-5 + 5957\/745). Let t = 11953\/8195 - s. Is t > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 1. Suppose 36 = h - i*b, 4*b - 52 = h - 3*h. Calculate the remainder when h is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bldd when four letters picked without replacement from ubbadlii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 9, -4*h + 1 + 106 = 3*t. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 720\/14 - (-300)\/525. Let a be (0 - -3)*(-34)\/(-6). Calculate the greatest common divisor of d and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*o = -5 - 8, u - o = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -11317\/228?\nAnswer: -11317\/228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24949686.\nAnswer: 2, 3, 29, 223, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2. Let d(r) = 7*r + 3*r - 10*r - 68*r**2 + 22*r**2. Determine k(d(s)).\nAnswer: -14812*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -2\/13 (c) 0.3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*n - 43, -3*n - 2*n - 3*s + 103 = 0. Suppose -5*c + 5*k + n = 0, 2 = -5*c - 3*k + 6. Let l = -4 - c. Which is smaller: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (555\/2)\/(27\/(-36)). Let t = b + 1411. Let s = 1748 - t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696115 is divided by 119?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*o**2 + 20577*a**4*o + 1672*a**2*o**2 + 72*a**2*o wrt a?\nAnswer: 24*a*o**2 + 493848*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*v + 196, 2*l + 428 = 7*l - 3*v. Suppose 0 = -12*s + 23*s - l. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -48, -4, -1 in descending order.\nAnswer: -1, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -640, -1279, -1918, -2557, -3196?\n\"Answer: -639*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*5\/((-105)\/(-6)). Suppose 0 = -5*s - 4*x + 25, 0*s + 3*x = -s + 16. Let j(y) = y + 2. Let d(w) = -1. Let t(b) = s*j(b) + 3*d(b). Determine t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/144 and -107\/8088?\nAnswer: 48528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0) + (-261)\/145 + (-103300008)\/40. What is y rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3352989 grams?\nAnswer: 335.2989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 3*k**2 + 4*k**2)*(-2 + 2 - 3*k + 0*k + 2*k - 5*k + (-3 + 1 + 1)*(-2*k + 0 + 0)) + (-k**2 + 0*k + 0*k)*(k + 3 - 3).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 87*-0.152\nAnswer: -13.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -30*r + 32*r + 52, 2*r - 92 = -5*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3540 - 3220. Calculate the remainder when v is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1033, -1025, -1017, -1009, -1001, -993?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 34, -5 in decreasing order.\nAnswer: 34, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74530385 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362*j*s**2 - 287*j wrt s?\nAnswer: -724*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, n: 1, x: 4, g: 4, l: 1}. What is prob of sequence njlg?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63427 + 3?\nAnswer: -63424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1488 divided by 6.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5)**49*j*j**(-3\/7)*j\/((j\/j**(-4\/5)*j)\/j) assuming j is positive.\nAnswer: j**(8567\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 + (-196)\/(-21). Let m be (-9)\/3 - (-26)\/z. Sort -2\/7, 0.4, m.\nAnswer: m, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111382, -1111394, -1111406, -1111418, -1111430?\nAnswer: -1111442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40993 - -1644. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j**2 + j)*(4 + 4 - 5) + 266*j**2 - 1662*j - 26 + 27 + 1666*j to the form i*j**2 + t + p*j and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f - 9 + 9)*(2 + 3 - 4) - 2*f + f - f + (3*f - f + 0*f)*(-2 - 3 + 4) + 0 + 0 + f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*f - 189*f - 34 = p, 1030 = f - 19*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.8 - 21.8. What is the smallest value in -5\/4, s, 1\/2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 - -46. Let c(r) = -8*r + g - 260. Calculate c(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t - 1. Let m(k) = -7*k**3 + 3*k - 8. Calculate -m(u) + 6*n(u).\nAnswer: u**3 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-1 + 3))\/(-17 + -5). Put s, -4, 2 in descending order.\nAnswer: 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2 - 2 + (19 - 9 - 12)*(4*g + 11*g - 7*g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 8*l**2 - l - 49. What is g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900698367.\nAnswer: 29, 79, 829637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 518, 1194, 2152, 3398, 4938, 6778, 8924?\nAnswer: 11382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -342?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59535, 238126, 535777, 952488?\n\"Answer: 59530*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8995.391 nanometers to meters.\nAnswer: 0.000008995391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 - 3*f**2 - f**2)*(7*f + 1 + f - 4*f) to a + u*f**2 + k*f**3 + t*f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**3 + 0*k**3 + (-2*k - 3*k + 3*k)*(8*k**2 + 81 - 81).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208278.5 + 208279. Let g = 0.02 - 0.08. Sort g, -0.05, 0, j in descending order.\nAnswer: j, 0, -0.05, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**3 + v**3 + 5153*v - 5153*v - 83*v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.64 - -2.9986. Let r = f - 586.7586. Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 4014 + 4099 = 2*p. Solve -p = 3*j - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*q + a - 144 = 579*q, -4*q - 3*a = -152. Calculate the least common multiple of q and 2415.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 1026 = 5045. List the prime factors of b.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25374, 101427, 228174, 405609, 633726?\nAnswer: 912519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528*o**3 + 1053*o**3 + 3*o**2 - 7*o - 6*o**2 - 4 - 526*o**3 to the form c + w*o**3 + t*o**2 + s*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100131 - 1131101320?\nAnswer: -1131202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 2*o + 3. Let v be d(1). Let f(k) = 1 + k + 3 - 3*k. Calculate f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -172*u**2 - 21845*u - 137. What is i(-127)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.3999111 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z + 22*z - 12. What is the least common multiple of z and 37?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 + 23 - (-19 + 3 + 6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 28665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20*x - 81. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*91\/(-325)*(-4)\/7\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 0 + 10*h + 2*h**2 + 3 + 11*h.\nAnswer: 2*h**2 + 33*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -3302005\nAnswer: 22\/660401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 3491.\nAnswer: -733.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -8 + 13 + 0 + -86 - -6?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11971871 + 14468506.8. Let o = -2496626.7999964 + p. Let j = o + -9. What is j rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377 - -45. Let x = -216 - z. What is the remainder when x is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 (base 11) in base 15?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -73. Let g = 84 - m. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6)\/p)\/p)**(6\/5)\/(p**1)**(11\/3) assuming p is positive.\nAnswer: p**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + 19*r**2 + 18*r**2 + 11*r**2 + 7*r**2 - 58*r**2 to the form q + m*r + z*r**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3730896 and 97\/1396512.\nAnswer: 2783248416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*n + 13210, -44*n = -2*j - 48*n + 5280. List the prime factors of j.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 17 = 3*i + 15, 2*i = -4*y - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 + -168. Let q(o) = o**2 + 16*o - 36. Let u be q(z). Solve 1\/2*t**2 + u*t + 0 + 1\/2*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -387*31\/(13392\/(-48))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*r**2 + 3703238*m**3*r - m**3 + 307*m**2*r**2 - 187*m*r**2 - 16*m + 2*r**2 wrt m?\nAnswer: 12*r**2 + 22219428*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t**2 + 642 + 45*t**4 - 2327 - 2031 wrt t?\nAnswer: 180*t**3 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-3)\/1 + 7. Suppose 2*x + k - 237 = 0, -c*x = -9*x + 4*k + 573. Suppose -s = -z - 4*s + 21, 0 = -5*z - 3*s + x. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*p**3 + 0*p**2 + 4\/5*p.\nAnswer: -p*(p - 2)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 5. Let r(a) = 2*a - 3. Let x(j) = 3*b(j) + 5*r(j). Let n(q) = -q**2 + 0*q**2 + 7*q**2. Give x(n(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, j: 3, z: 2, i: 1, n: 4}. What is prob of picking 2 l and 1 n?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126\/29 - 1424\/261. Suppose 12 = 4*z - 40. Let m = z - 15. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -338.2 and -2.\nAnswer: 676.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Let i = 2978 - 2979. Let r be 2*(4 + 14\/(-4)). Which is the nearest to r? (a) h (b) -4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/40)\/(2\/(-5)). Let n be 0 + -1*(v - 1). Factor -3*j**4 - 2*j**2 - j**3 + 5*j**4 - n*j**4 + j**5 + 3*j**4.\nAnswer: j**2*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**2 - 142*q + 210. Calculate c(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -562 <= -559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.9 and -0.4.\nAnswer: 5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**3*a)\/a))\/a**(5\/2))**42 assuming a is positive.\nAnswer: a**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 418 = 8*k - 432. Let l(y) = -25*y + 5. Let t(a) = -12*a + 2. Give k*l(z) - 5*t(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3666 and 29892?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 117 = -11*t - 23*t. Put -209, t, 1, 2 in increasing order.\nAnswer: -209, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.134396 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-676)\/26)\/(2*21\/14).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.443 and -3?\nAnswer: -1.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 9*s**5\/20 - 11*s**4\/2 + 121*s**3\/6 - 824*s. Factor v(q).\nAnswer: q*(3*q - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 - 0.36. Let b(w) = -10*w**3 - 2*w**2 - w. Let c = -16 - -15. Let p be b(c). What is the biggest value in 4\/9, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:32 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 5*h + 2. Let v be w(6). Let a = -37 + -18. Let d = v - a. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20393\/12 - 1697. What is the common denominator of n and 79\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) + (sqrt(306) - (sqrt(306)*-3 - sqrt(306))))\/(((sqrt(2) - 3*sqrt(2)) + sqrt(2))*-3)*2*4.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 29211.\nAnswer: 233688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4168, -10082, -15990, -21892, -27788?\n\"Answer: 3*w**2 - 5923*w + 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 5*w - 8, -w = -3*o + 5 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246703274 - t**2 + 246703274.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/11 + 1744*i**4\/11 - 23180*i**3\/11 - 153611496*i**2\/11 - 16830176706*i\/11 - 179918781336\/11 = 0?\nAnswer: -147, -12, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 202\/24)\/(35\/420).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - s - 11. Let v be r(5). Let m be (-6)\/27 - (-2)\/v. Suppose -4*o - 31 = -5*t - m*o, 2*t + 5*o = -14. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426794949 and 35?\nAnswer: 2133974745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9743221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -31. Let o = c + -25. Let a(l) = 0*l + o - 10 + l. Calculate a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904218827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -33*r**3 + 13*r**3 - 2 - 6*r + 19*r**3 - 6*r**2. Let h be x(-6). Calculate the greatest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -31*v**2. Let p(x) = -3*x**2 + 3 + 7*x**2 - 3 - 17*x**2. What is p(c(d))?\nAnswer: -12493*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 25, 11, -25, -89, -187?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 + t**5\/60 - t**3\/6 - 10*t**2. Let w(n) = -n**3 + 36*n**2 - 65*n + 34. Let p(r) = -w(r) - 4*y(r). Solve p(z) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 5 (c) 4976 (d) 1\/5 (e) 36 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 13 = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 - 5*k - 2. Suppose 0 = -4*x + 9*x + 20. Calculate the remainder when 69 is divided by d(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 7) + (-6 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 - 6.8. Let n be ((-3)\/14)\/(-3 - 21\/(-6)). Sort 0.1, n, f in ascending order.\nAnswer: n, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 94 + 87 = -4*h, -3*h - 39 = -11*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*x + 418 + 776 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/140 and -73\/72044.\nAnswer: 360220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:36 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/35)\/(9\/2430*-18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1430 (c) 3\/7 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -730406.6?\nAnswer: -730406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118465607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4926086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93395.\nAnswer: 5, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:59 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12538*t - 20*t**2 + 19*t**2 + 12538*t - 7.\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v + (0 - 4 + 2)*(-1 + v + 1) + 2*v - 3*v + 2*v + 0*v - 4*v + 15*v + 0 - 2*v + 0)*(1 + 0 - 2).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*f + 3*w, 3*f + 5*w - 29 = -0*f. Determine z so that -4*z**4 + 7*z**2 - 2*z**f - 2*z**5 - 7*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -593, 0.035, 494 in descending order.\nAnswer: 494, 0.035, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 140*j**3 - 393*j**2 - 290*j - 64.\nAnswer: -(j + 2)*(j + 32)*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 225, 228, 231, 234?\n\"Answer: 3*d + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4329*j - 13714. What are the prime factors of b(19)?\nAnswer: 7, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 828*k**2 - k + 3. Let z be u(-3). Let p = -130\/117731 - -19310594673\/2590082. Let h = z - p. What is the common denominator of h and -25\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2 + -1)*1. Solve c + c = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - k + 0)*(2 - 5 + 1) - 47 + 92 + 5*k - 40)*(-6*k**2 + 3*k**2 - k**2) to j*k**3 + u + p*k + q*k**2 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v**6 - 16*v**2 + 1\/42*v**7 + 0*v + 0*v**4 + 1\/30*v**5 + 0 + 0*v**3. What is the third derivative of w(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -195236, -57 in decreasing order.\nAnswer: -1, -57, -195236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-182))\/(21\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.5 (c) 322187\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -4*v - 2*a, -3*v + 2 = -4*a. Find the second derivative of 4*d + 11*d**2 - 5*d - 20*d**v wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.57404 - -0.577. Round x to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134\/(-201)*2\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/r**13)\/r*r**(-12\/11) assuming r is positive.\nAnswer: r**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 10*r - 50. Determine d(13).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - (-7 + 3 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -19*h**2 + 72*h + 149. Let w be o(5). Calculate the greatest common divisor of 10931 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**9*d**(1\/14))\/(d*d**(-2\/9))**(-18))**(2\/19) assuming d is positive.\nAnswer: d**(85\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10551318 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59450115*c**3 + 305854920*c**2 wrt c?\nAnswer: -356700690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r. Let u(h) = h**2 - 270789. What is s(u(m))?\nAnswer: 2*m**2 - 541578","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299 + 2*t**2 + 8*t + 282 - 8*t to u*t**2 + c*t + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8072 and -61\/125800.\nAnswer: 126932200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/13 + 4104*x**3\/13 - 33342*x**2\/13 - 786524*x\/13 + 815760\/13 = 0?\nAnswer: -2060, -11, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 19*p**2 - 36*p**2 + 2*p - 9*p + 3*p.\nAnswer: -17*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(91) - 1*sqrt(91)*2))\/(sqrt(14)\/(sqrt(54)\/sqrt(3))).\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831 - 836. Which is the closest to 2? (a) -3 (b) t (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d + 2. Let k = 3 + -2.8. Which is the closest to k? (a) -4 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 2 + 1 - sqrt(17) - (sqrt(17) - 1*sqrt(612)))**2 + ((sqrt(136)\/(-2*sqrt(8)))**2 + sqrt(17) - ((sqrt(68) - -1*sqrt(68))\/sqrt(4))**2).\nAnswer: 31*sqrt(17) + 1481\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 10*b**2 - 12*b - 8. Let r be y(-11). Solve 2*d + 4 = -u + r, -u = -2*d + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (840\/16)\/21*10\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29705530 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - p - p - 1190 + 1381 - p. What is f(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16590296 is divided by 19495?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1 (c) 65 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**9\/3360 + 7*s**6\/720 + 7*s**5\/60 - 9*s**2. Let a(m) be the third derivative of j(m). Differentiate a(b) wrt b.\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -999 (b) 0.08 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d + 223. Let p be g(-6). Which is smaller: p or 399?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 28. Suppose -55 = -l + d*x - 73, 5*x - 12 = 4*l. Solve o + 4*r = -9 - 0, l*o - 3*r = -7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/4, -3.1, 0.081, -2.1, -5, -1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 102 = -5*a - 4*j, -2*a - 7 = 3*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41\/29 - -1487\/580. What is the common denominator of (1261\/8)\/(-13) + 12\/8 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6132*f**3*u**2 - f**3 - 13*f**2*u**2 + 48409*f**2*u wrt u?\nAnswer: 12264*f**3 - 26*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 minus 0.11213266?\nAnswer: -620.11213266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -199523 divided by 1655?\nAnswer: -199523\/1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(136))\/(sqrt(2)*1*5).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231998582 to the nearest integer?\nAnswer: 15231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20*w**2 + 3*w + 1. Let c be d(5). Let j = -327 + 94. Let p = j - c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*39\/6*52\/1430*-11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004816 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k**2 + 7*k**3 + 4*k**3 - 475*k - k**2 - 301*k + 140 - 10*k**2 = 0.\nAnswer: -10, 2\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 minus 9678755098054?\nAnswer: -9678755098054.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 133. Let c be t(-17). Solve -3*z + 43*j - 40*j = -12, 0 = -5*z - c*j + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696911919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 628 - 304. Suppose w = -20*c + 22*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -141425288, -141425287, -141425286, -141425285, -141425284, -141425283?\n\"Answer: s - 141425289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-45))\/((-2)\/((-2)\/(-2))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -94, -137?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(2 - (-13)\/(-7)). Let d = -1.76 + 1.86. Which is the closest to 0? (a) m (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let y = -0.09 - -0.89. Let m = -0.3 + y. What is the closest to t in -2, -3, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {j: 12, h: 6}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:52 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)\/c)**(-1\/29))**(3\/11)\/((c*c**(-1)*c)**(-37)\/((c\/(c*c**(-4)))\/((c\/(c*c\/(c\/((c\/((c*c*c**5\/c)\/c)*c)\/c))*c*c))\/c))) assuming c is positive.\nAnswer: c**(25523\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69791120 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f + 30. Let q be f\/18 + 5\/15. Which is the third biggest value? (a) 0.2 (b) -3\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69257 > -761812\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -288, -293, -298, -303, -308?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 53428979.\nAnswer: 53428968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.40158 - -1.459. Let c = -0.02326 - y. Let v = 0.08 + c. What is v rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.84561 + -863593.\nAnswer: -863590.15439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1.7, -1\/2, -2, -2\/5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 - 6*c - 1. Let v be d(-5). Suppose 3*p = 3*f + 33, -p + v*p - 4*f = 38. Let g(j) = -j**2 + 5*j + 6. Give g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 3*r + 6. Let v be d(4). Let c = 7 - 5. Suppose 0 = 2*j - p - v, -j + 3*p = c*j - 15. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -139 - 12?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3609694 and 17455.\nAnswer: 18048470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 309?\nAnswer: 30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1*-3 - sqrt(204) - -3*sqrt(204)*3)\/(6*-1*sqrt(1200)*-6).\nAnswer: 11*sqrt(17)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23857*i + 178*i**3 + 23857*i)*(-i + 0*i + 7*i) in the form u*i**2 + p*i**4 + r*i + y + f*i**3 and give p.\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1012 and 50567524?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 1\/6*r**3 + 75*r**2 + 0 + 29\/60*r**5 + 0*r + 9\/2*r**4. Find the second derivative of w(i) wrt i.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viooivqyii. Give prob of picking 1 v, 1 y, and 1 q.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*k**3 - 82*k**2 + 82*k**2)*(2 + 1 - 2) + 4*k**3 + 0*k**3 - 2*k**3 as t*k**3 + d*k + y*k**2 + r and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:37 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmj when three letters picked without replacement from dmpjavpmpvdj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 17*y - 1. Let j be m(-6). Calculate the smallest common multiple of 1*((-4)\/(-2) - -1) and (9\/j)\/(3\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -93*v - 1. Let f(q) = -185*q - 2. What is 3*f(g) - 7*s(g)?\nAnswer: 96*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152.996444 + 153. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1572 = 5*p + 4*r, -r = 3*p - 1175. Suppose -3*c - 76 + p = 0. Calculate the greatest common factor of c and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:20 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 43\/4*n**4 + 17\/2 + 167\/4*n**3 + 155\/4*n + 247\/4*n**2 + 1\/2*n**5 = 0.\nAnswer: -17, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*k, 0*i - 2*i = -3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -60. Let k = o - -26. What is the greatest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*x + 34395, -2758 = -2*w + 5*x + 20195. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 + 86*s + 354. Determine l(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-4 - (-22)\/6). Which is the closest to q? (a) 0 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -17. Let m = 7 + x. Suppose -m*w + 7 = -9. What is the highest common divisor of w and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -14 - ((1 - (2 + -21)) + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583 + -578. Suppose 8*w = o*b + 4*w - 58333, 0 = -2*b - w + 23328. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04228884 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17965 + 35588. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*-2 - -5. Suppose -5*k - 3*j = -2, a*k + 2*j + j = 4. Let t(v) = -v. Let u be t(k). Put 4, u, -5 in ascending order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5 - 540*c**4 - 34792*c**3 + 224112*c**2 - 304704*c = 0. Calculate c.\nAnswer: -138, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29430011\/220 - -133773. Find the common denominator of 107\/330 and t.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 2421577*a**2 + 7264738*a - 4843160.\nAnswer: -(a - 2)*(a - 1)*(a + 2421580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 11*s - s + s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/9))\/w)\/w*w)**(-13)*(w\/w**(-6\/5))\/w*((w**2\/w)\/w)\/w*w assuming w is positive.\nAnswer: w**(-76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 263. Let n = k - 247. Solve 2*a - 11 = -3*s, 4*a - n*s + s = -11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -28. Suppose -l - z = -5*l. Let m be (-1 - 3\/1) + l. Which is the closest to m? (a) -4\/3 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139642 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 364, 735, 1106, 1477, 1848, 2219?\n\"Answer: 371*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.07, 891, 0.3.\nAnswer: -2\/9, 0.07, 0.3, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. Let k = -83 + 81. Sort 0, k, c in decreasing order.\nAnswer: 0, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.14, 381, -13.4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, k: 2, n: 1, v: 4, j: 2}. Give prob of sequence jn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*4\/54 - 1064\/(-252). Suppose 3*n + 10*g = 5*g, 0 = 4*n + t*g - 8. Calculate the remainder when 107 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 7896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -250, -535, -932, -1441, -2062?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 2)\/(5 - 4). Let k be g\/(-24) - (-15)\/(-12). Which is the third biggest value? (a) k (b) 12 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6269?\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481135647 to the nearest integer?\nAnswer: 38486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125513 + 78722 = -8*a + 120209. List the prime factors of a.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, 3, 4\/15, -4?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 20. Does 3 divide i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.109815 rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2 + 219\/3 + -1 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2\/2 + 5*l - 11. Let t(x) = 4 - x - 4*x + 4*x. Determine -4*f(i) + 5*t(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, x: 2, c: 7}. What is prob of sequence cfxx?\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-284)\/532) + 21\/(-49). Put -22, s, -0.09 in ascending order.\nAnswer: -22, -0.09, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4429*v**5 + 10*v**2 + 2*v wrt v?\nAnswer: 265740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*t**3 + 2\/15*t**2 + 0 + 4\/5*t.\nAnswer: -2*t*(t - 3)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1265*v + 364*v - 478*v.\nAnswer: -1379*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**21)**(2\/33))**48 assuming s is positive.\nAnswer: s**(672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-50)\/(-45))\/(5 - 6). Sort 20, -1\/4, a.\nAnswer: -1\/4, a, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.54027 in -0.3, -116, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*q + 24741 = -56259 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -879*i**2 + 19*i - 38. Let q(m) = -1759*m**2 + 33*m - 77. Let d(l) = 6*q(l) - 11*r(l). Find the second derivative of d(x) wrt x.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.13607 and -0.003?\nAnswer: 1.13307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/3 + 2. Let g(z) be the second derivative of 131*z**3\/6 - 246*z. Give g(k(x)).\nAnswer: -131*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 - 2076*q**3 - 8*q**2 - 201*q + 62 wrt q?\nAnswer: 12*q**2 - 12456*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 - i**4\/12 - i**3\/6 - 14*i**2. Let v be m(3). Is v\/6*127*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2 - 4*z + 0*z)*(-2*z - 3 + 3) - 24*z + 63*z**2 + 24*z in the form s + q*z + c*z**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -398, -429, -458, -485?\n\"Answer: h**2 - 34*h - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2958 - 399. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 88.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5087315300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22))\/sqrt(11) - (sqrt(6)\/sqrt(3)*-2)**2.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**7\/210 - n**4\/6 + 7*n**2. Find the second derivative of w(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 11*y**2 + 3. Let m be f(11). Suppose 4*n = -5*p + 29785, 0 = 4*n + 6*p - m*p - 29783. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5, 0 = -4*y + 8*y - 3*m - 7. Sort y, 4, -2, 0 in descending order.\nAnswer: 4, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 12*d + 9. Let x(m) = -m**2 - 9*m + 3. Let t(p) = p + 1. Let u(j) = -4*t(j) - x(j). Let h be u(-7). Does 11 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**5\/3 + 12*i**4 - 28*i**3\/3 - 76*i**2 + 72*i = 0.\nAnswer: -9, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315175.\nAnswer: 5, 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -23*y + 28*y. Let q be (-3)\/(-3 - y) + (4 - 0). Suppose i = q*o + 32 + 25, -5*i + 285 = -5*o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 0. Suppose 0 = -w*b + b + 6. Suppose b*q = 9*q. Let d(s) = -s**2 + 3. What is d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -66, -95, -124, -153?\n\"Answer: -29*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -74. Suppose 2*l = 4*a - l - 73, 3*a = 4*l + 53. Let i = -10 + a. Calculate the remainder when y is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 + 8*l + 15 = 0. What is l?\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 + 0)*(-10)\/2 is divided by 10 + 1*(-1 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -25 + 74. What is the units digit of (-14)\/c + 32\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3087174 to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-70)\/816) + 40\/(-140). Let m be 6\/12 - 125\/h. Let y = m + 2367\/116. Calculate the common denominator of 43\/10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 38*k**2 + 43*k - 11. Let t be u(10). Calculate the greatest common divisor of t and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37491.\nAnswer: 3, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + -1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28.5045111 * -0.5\nAnswer: 14.25225555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = 23*w - 48720. Suppose -26*i = 16*i - w. Let x = 0.4 - -2.6. Sort -1\/2, x, i in decreasing order.\nAnswer: i, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*w = 126971 - 194021 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n + 0*n**3 - 2*n**3 - 45*n**2 - 9 + 38*n**2 + 3*n**3. Let r be x(6). Let s = -27 + r. What is the greatest common divisor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274076 is divided by 68410?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by 82?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = -2*u. Suppose -4*z = u - 21. Suppose n = z*n - 16. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 180. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1143, 89.164, 5 in ascending order.\nAnswer: -1143, 5, 89.164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104880 or 104327?\nAnswer: 104327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 712, 1226, 1740, 2254, 2768?\n\"Answer: 514*v + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155638522 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22360909+22179\nAnswer: -22338730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -751019770*f**5 + 17*f**2 - 2*f - 2103847 wrt f?\nAnswer: -45061186200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n - 400. Determine p(27).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -a + 28, 5*a + 283774*i = 283775*i + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-855)\/(-380) + -3 + 1 + 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*z**2 - 1 + z - z + 0*z.\nAnswer: 113*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.2. Let m = -218.8 + 217.2. Which is the fourth smallest value? (a) -1\/2 (b) 1\/4 (c) m (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 77. Let p = t - -20. Let g be (-2 - 42\/(-9))\/(p\/3). Solve -2 = -5*h + g*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3478333 centuries to decades.\nAnswer: 3.478333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 20 + 46. Suppose u*a - 5*a = 0. Let t = 23 + a. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5 = -4*g, -4*g + 7*b - 2*b = 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 1.7, 7\/2, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27372809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2462 - -0.2462. Which is the fourth biggest value? (a) 1\/2 (b) h (c) 72 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -21.6. Which is the third biggest value? (a) -0.3 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 - u + 4. Let j be z(0). Let f be (-2)\/j - (-22)\/4. Suppose f*r + 41 = 131. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2.055 (b) -1 (c) -20 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9825 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135504458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r - 56*r = -97*r - 800030. List the prime factors of r.\nAnswer: 7, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(833) - (sqrt(833) - (sqrt(833) + -1))) + 0) + 0)**2.\nAnswer: -126*sqrt(17) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r - 4*c + 9, 2*c = 5*r - 17. Let f be 10\/(-4)*(-6)\/r. Solve -5*h + 41 = -4*z, -4*h + f = 4*z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 13*l + 6. Let s be (-33)\/(-7) - 24\/(-84). Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3633*j*o**2*u**2 - 20*o**2*u + 10*u**2 + 10 wrt j?\nAnswer: -3633*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 0\/(-1) - (-7536)\/12560.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65347367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.4 + -15. Let l = o - -8. What is the closest to -1 in -3\/2, -0.4, l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1760897\/4835 - -1821\/5. What is the biggest value in -2\/7, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -54*30\/(-2) - -1. Suppose -4*r = -2*b - 884, 4*r - 3*b - 450 - 432 = 0. Let x = u - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32602840 divided by 815071?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 57. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*b**3*c**2 + 4*b**3 - 6*b**2 - 5*b*c wrt c.\nAnswer: 382*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c + 3. Let n be x(-4). Suppose 0 = -3*m + 15 - n. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/80 + 25*k**4\/48 - 17*k**3\/4 - 63*k**2 - 1041*k. Factor m(y).\nAnswer: (y - 6)*(y + 3)*(y + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9573090 to the nearest integer?\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*x**4 + 2634*x**5 - 32*x**4 - 2640*x**5 + x**3 + x**5 - x**3 + (-x**4 + 0*x**2 + 0*x**2)*(x - x - x).\nAnswer: -4*x**5 + 142*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -84*g**3 - 19*g**2 - 42*g - 160. Is v(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 14. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/17 or 11\/4?\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let i(k) be the first derivative of 5*k**3\/3 - 5*k - 10678. What is i(n) - 3*u(n)?\nAnswer: 5*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608902963?\nAnswer: 163, 3735601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 855 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 7*u**4 - 16)*(6 - 2 - 2)*(3 - 1 - 1).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - 5 - (-21 + 1 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.838 * -5.\nAnswer: -9.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, 1 w, and 1 p when four letters picked without replacement from pvpvwvvvdwvpvvnvwwd?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-2*1*-6 - (sqrt(32)\/(-1*sqrt(4)))\/(sqrt(4) + sqrt(12)\/sqrt(3)*-6))**2.\nAnswer: 351122\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -7. Suppose -7*y + 5*y + q = 0. Suppose -5*n - 35 = -5*k, -16 = -3*k - k + n. Solve y + 9 = -k*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311165 - -447052. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1301 by 14.\nAnswer: 1301\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - 10 = 0. Suppose -l*g - 29 = -2*w - 11, -2*w - 22 = 5*g. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 12*r + 12. Let c be t(10). Let u(n) = -2*n - 4. Let y be u(c). Solve 0*f + 3*f = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**13*z)\/z*z*(z\/(z*z**(-21\/5))*z)\/z)**(-40) assuming z is positive.\nAnswer: z**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 1136 = a - 16*m, -3*m - 12 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 12, 4*p - 4*k - 10 = 10. Solve 2 = 2*t, -p*r - 5*t = -6*r - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6239 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*s - 35 = -0*f, 2*s + 26 = f. What is the lowest common multiple of f and (-7)\/((-28)\/20) + 163?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.53*-2925.\nAnswer: 7400.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40354, -40352, -40352, -40354?\nAnswer: -40358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 0 + 3 - 4 + 4*x + 3*x**2. Let l = 1651 + -826. Suppose -841 = -4*c - l. Give j(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2668322 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -5) - (-4 + 5 - -12 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y - y)*(y**3 - 5*y**3 + 6*y**3) + 3*y + y**4 + 164 - 164 + 2*y**3.\nAnswer: -7*y**4 + 2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 41. Let n be u(9). Let a(q) = -q**3 + 6*q**2 + q - 3. Let h be a(6). Solve -4*d + n = h*p - 14, -2*d - 4 = -2*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 1\/24*p**4 - 1\/120*p**6 + 0*p**5 + 0*p + 0 + 0*p**3 - 2*p**2. Find the second derivative of a(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/7 - 272*i**2\/7 + 1056*i\/7 = 0.\nAnswer: 0, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -17*t - 44 - t**3 + 36 - 8*t**2 - 9*t**2. Calculate the smallest common multiple of o(-16) and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*d - 40 = -2*r, -3*d - 8 = -r. What is the highest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t - 2*p + 5, -t = -p - 10. Suppose -35 = -2*d + d + 4*m, t*d + 5*m = 50. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 3*y**3 - 9*y**3 + (-2*y + 2 - 2)*(-y**2 + 1 - 1) as b*y**2 + h*y + r*y**3 + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*q + 4*q - 15, -3*q - 16 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -77. Suppose o - 8 = -n. Calculate the highest common divisor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:40 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 1208, 1772, 2338, 2906, 3476?\nAnswer: 4048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.2 + -19. Let z = 0.43319 - 2.23549. Let i = t - z. Round i to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375, -5634, -12751, -22732, -35583?\nAnswer: -51310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Suppose 13 = 5*o - 2*g - 13, -n*o + 14 = g. Let l be (8\/10)\/(1\/5). Solve -5*v + 8 = -v + 4*k, l*k - o = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 260*p - 500*p + 251*p + (-1 + 3 - 5)*(-10*p + 9*p - 5*p).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -76, -83?\n\"Answer: -7*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130231001 (base 4) to base 7.\nAnswer: 666524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c411 (base 14) to base 16\nAnswer: -83bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101100010011110 + 100?\nAnswer: 111101100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 - 8*w**2 + 10*w + 20. Does 41 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(0 - 3 + 0)*(-4*u + 2*u + 0*u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiimimihmimmmvmi. What is prob of sequence imv?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.85885999 + -3.859. What is c rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 18 = -l, 4*l = -3*z + 4 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5722538 is divided by 817505.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(1\/((-6)\/9)). Suppose 2*d + 30 = g*d. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -61*f + 1101. Let k be d(18). Let r be (-28)\/441 + 4\/(-18). Which is the nearest to r? (a) k (b) 2 (c) 2\/251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 238, 947, 2130, 3787, 5918, 8523?\n\"Answer: 237*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5.65.\nAnswer: 1.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + 3*z**2)*(79*z + 6*z**3 - 79*z).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 12, q: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = u + u - 15, -5*u + 5*p = 25. Suppose -2*b = -u*b - 64. Suppose 3*l = 3*s + b - 2, 0 = -4*l - 5*s - 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 19*q + 133*q**3 + 4*q**2 - 7*q + 26*q.\nAnswer: 133*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43\/4 + 11. Let f be -5*2\/(-4)*1. Which is the second smallest value? (a) f (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39*x - 17. Let n(i) = 2*i - 2. Give -2*a(d) + 18*n(d).\nAnswer: -42*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/360 + w**4\/8 + 6*w**2. Let p(o) be the second derivative of r(o). Let f(m) = 7*m**2. What is f(p(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/3 of a year?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**3 + 2184 + 2191 - 71*h**3 - 4375.\nAnswer: -106*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s + 60 = 0. What is the remainder when ((-6)\/s)\/((-1)\/(-10)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -20, -4*g - 7 - 33 = 5*v. Put 8, v, 2 in descending order.\nAnswer: 8, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*y**4 - 146*y - 6105?\nAnswer: 228*y**3 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 83*x**2 + 76*x + 138. Is f(65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-33)*12\/(-10)*(-224)\/112\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 1*sqrt(272)).\nAnswer: 6 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2\/4 + 7615869*b + 15231735 = 0. Calculate b.\nAnswer: -10154490, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/5)\/(t\/t**(-4)))\/(t**(-2\/3)*t**6))\/(t**(-2\/15)*t**(1\/3))**(6\/11) assuming t is positive.\nAnswer: t**(-338\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443 + -128. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - x = 25, 22 = 3*x + 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 626410*i - 19619474405 = 0. What is i?\nAnswer: 62641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from zczzozxccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + y**5 - 2*y**2 + (-2 - 2 + 6)*(-5 + 2*y**2 + 5)*((-5*y - 3*y + 34*y)*(2*y - 2*y + 2*y**2) - 3*y**2 - y**3 + 3*y**2).\nAnswer: 205*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 12*h**2 - h. Let i(x) = 105*x**3 - 47*x**2 - 7*x. Calculate -6*f(j) + i(j).\nAnswer: 99*j**3 + 25*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/(c*(c**(-3\/20)*c)\/c))\/c)\/(c*c**(-13)\/c*c))\/(c**(-3\/10)*c*c**(2\/23)) assuming c is positive.\nAnswer: c**(5687\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358 - 346. Let c(j) = 11*j + 11*j - j**2 - 7*j - 35 + 0*j**2. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j - 7*k + 135 = 3*k, -3*j + 8*k - 5*k = 7*k + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 0.03840978\nAnswer: -7.03840978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*q + 4*h, 3*q + 4*h = 0. Suppose q = 2*t - 0*t - 22. Let c(i) = t + 38*i - 14*i - 11. Let f(s) = -s**2. Calculate f(c(v)).\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -1\/2 (b) 8 (c) 336.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 349276 divided by -58?\nAnswer: -6022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 9*t - 12 - 21.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:49 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9*g - 133 = -1183. Suppose 0 = -3*z + 4*z - 45. Let f = z + -15. Calculate the highest common factor of f and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*j*y**2 - 3*j*y - 3*j - 986*y**5 + y + 18913 wrt y.\nAnswer: -92*j - 19720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 760\/63 - 106\/9. Let g = -24705586\/67845 + 64\/4523. Let s = g + 364. Which is the closest to -0.1? (a) s (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 20\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 - 72573392*z\/7 - 10367628.\nAnswer: 4*(z - 18143349)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 14 = 10*s. Calculate the remainder when 94 is divided by (-46 - -50)\/(1\/12*s).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2310612059981 plus -4.23?\nAnswer: -4.4610612059981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4230\/282)\/(12\/(-16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 215\/15 - 6\/(-9). Suppose -10 - k = -5*q. Suppose 10 = -c + 5*g, -2*c + 41 = q*g + 1. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 738672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 91 = -433. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1291*b - 14*b**2 + 1291*b.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2187 and 141147.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-27) + 465\/(-27). Let i(m) = -m**2 - 19*m - 39. Let u be i(b). Put -13, 4, u in descending order.\nAnswer: 4, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153532283.\nAnswer: 153532283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + t + 6*t**3 + 0*t**5 + 2*t**5 + 2*t**5 - 4*t**4 - 3*t**5 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 at most 196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(392) + -2*sqrt(392)))\/((sqrt(12) + -2*sqrt(12))*2*-1).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9123 - -9118. What is the third biggest value in -1\/2, c, -4, -1, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 10*v**2 + 19*v + 4. What is w(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 0, 7*n + 2*z - 6 = 3*n. Suppose -i + n = -2. Suppose i*j = -3*d - 2*d + 25, 3*d = j + 15. Solve d*x + 15 = 2*o - 9, 2*o = x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = -10*f + 864. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 = 15*q + 20*q - 217*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 63*r**3. Let u be a(1). Suppose -5*q + 63 = -42. What is the highest common factor of q and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 2, h: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -82*z + 877 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-20 - (0 - 22)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*z + 5*z - 581 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*o*t**4*w + 4*o*t**4 - 15*o*t**3*w - 40*o*t**2*w + 59*o*t - 4*o*w wrt t?\nAnswer: -2304*o*t*w + 96*o*t - 90*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1074*l - 1078*l. Suppose 4*c + 4*j - 40 = -l*c, -5*c + 2*j + 36 = 0. Calculate the remainder when ((-2)\/4)\/(1\/(-40)) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-2)*(-10)\/(-30). Solve -k + u = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = 6*r - 54*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Suppose 76 = 5*u - 0*a + 4*a, a - 31 = -2*u. Suppose 0 = 4*o - 0*o - u. List the prime factors of h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 2*n**4\/3 + 2*n**3 - 5*n**2\/2 - 3*n. Let t be v(6). Put 11, 0, t in descending order.\nAnswer: 11, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -16?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 94.\nAnswer: 240\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -19*m**2 - 83*m + 37. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 14 = -7*o. Is o\/((-30)\/(-633))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millimeter in nanometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-2 + 2 + 1). Let k(f) = -2 - 4*f + 3 - 5. Let b be k(-4). Solve -4*d = 4*w - b - 4, 0 = w - l*d + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1182176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412.41 grams in nanograms?\nAnswer: 6412410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 144*f - 277. Give v(-73).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - f**2 + f**2)*(48*f**2 + 9892*f - 9896*f - 230*f**2 + 2) + 2*f**4 - 4*f + 4*f to the form r*f**4 + s*f**3 + u*f + w + p*f**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3646, 3922, 4378, 5014?\n\"Answer: 90*n**2 + 6*n + 3550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let g = -1114\/9 - -124. What is the third smallest value in p, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/5 + 1\/10*b**2 - 23\/10*b.\nAnswer: (b - 22)*(b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*l - 30, 0 = 6*s - 9*s - 5*l + 18 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193724941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 186. Calculate q(66).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:25 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.8592 centuries in years?\nAnswer: 97285.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.519+6\nAnswer: 5.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154 + 1259 + 3 + -51?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255153 - -4?\nAnswer: -255145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24675 - 24675 - 301*p**2)*(3*p - p + 0*p) as z + y*p + o*p**2 + v*p**3 and give v.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52128 - 80*t + 26066 + 26061 - 53*t.\nAnswer: -133*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 7}. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017256702 rounded to 7 dps?\nAnswer: -0.0017257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34979 divided by -6?\nAnswer: 34979\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - 22\/(-8). Suppose 0*t - 2*t + 18 = 5*m, r*t = 2*m + 8. What is the greatest common divisor of 5 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023195 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 4. Let q be l(-2). Let h = 2 + q. Suppose 5*k = 4*y + 55 - 163, 0 = -2*k - h. Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -1252, -1878, -2504, -3130?\nAnswer: -3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8487?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222088331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106853*k - 1909*k**2 + 1106853*k + 61 - 61.\nAnswer: -1909*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/28)\/(217525\/276850)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from uxq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {h: 2, o: 2, u: 7, b: 8, e: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 112. Let t = 63 + o. Suppose 4*i - 5*x = 24, -i - i - 2*x - t = 0. Solve 3 = 2*a - 5*c - 2, 0 = -a - c - i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5062ba + 0?\nAnswer: 5062ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.61 minus -0.32?\nAnswer: -44.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**33\/(v**1)**(-16)*((v**(-1\/2)*v*v)\/v)**(3\/16)*(v**(-1)\/v)**(-35) assuming v is positive.\nAnswer: v**(3811\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 - 2*c - 2. What is u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -715 + 720. Let n(x) = -x. Suppose -2*g = -3*k - 9, 3*k + 21 = -4*g + 2*g. Let m(h) = -h**2 - 2*h - 5. Let q(r) = k*n(r) + m(r). Calculate q(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + ((-4)\/96)\/((-72)\/(-7074)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48060000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.237 less than 10.26?\nAnswer: 9.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 6 + 3*o - 8*o - 5*o. Determine a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50906098.\nAnswer: 2, 269, 94621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 6:32 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 552.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -16. Suppose 3*q - 101 = t - j, 4*q + 2*t - 112 = 0. Let x = q - 27. Calculate the least common multiple of 9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/4 (b) 0 (c) 5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9849 (base 11) to base 2\nAnswer: -11001011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(44\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275)*-3 + sqrt(275)*-2 + 3 + sqrt(275))**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {m: 4, i: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 + 5*a - 4. What is the tens digit of y(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 16. Let p(x) = -x**3 - 11*x**2 - 5*x + 2. Let g be p(-10). Let j be ((-3)\/24)\/(8\/g). Sort 0.3, y, j.\nAnswer: y, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 43*r**2. Let f(k) = -4791*k. Calculate f(v(b)).\nAnswer: -206013*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-32))\/(-19 + (-147070)\/(-7744)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 12 = 57*w. Suppose 3*a - 168 = 2*t - 35, -2*t = w*a - 92. Calculate the remainder when a is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 344192 + 30311. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3267 - 3248. What is the remainder when 429 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188214 is divided by 1187783.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2613 divided by 13\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -25*5\/((-50)\/4) and (-19)\/(-3) + (-16)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/13*y**4 - 24\/13 + 10\/13*y**3 + 64\/13*y - 2\/13*y**5 - 54\/13*y**2 = 0. What is y?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 179 = 369. Let f = -52 - -107. Calculate the remainder when q is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let t = z - 0. Let w(c) be the second derivative of -c**3\/6 - 2*c. Give w(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*y - 1 = 93*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111201022 + -1011?\nAnswer: 111200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2060582 * 0.3.\nAnswer: 618174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:44 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -3, 7.82?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-104)*0*(-10)\/20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 63753.09 kilograms?\nAnswer: 63753090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227831.\nAnswer: 3, 11, 29, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from ehzizihcl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 186, 0.3, -25\/6 in increasing order.\nAnswer: -14, -25\/6, 0.3, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from -20800112989.4.\nAnswer: -20800112989.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 42 = 9*u. Suppose u*q - 323 = 145. Calculate the remainder when q is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u - 531 + 33 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -29*s**2 - 53*s - 38. Let l(c) = 9*c**2 + 17*c + 12. Let h(i) = 6*b(i) + 19*l(i). Let n(z) = -2*z**2 + 2*z. Determine -2*h(o) + 5*n(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:05 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9578105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 37 + 65. Let u be (-2)\/3 + 65\/(-15) + d. Suppose 0*g - 1 = -g. Sort -2, g, -5, u in increasing order.\nAnswer: -5, -2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:30 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*(-616)\/22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23427.852 months?\nAnswer: 195.2321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592043 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**7\/42 - y**6\/8 + y**5\/6 + 5*y**4\/2 + 20*y**3\/3 - 30*y**2. Suppose v(j) = 0. Calculate j.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -780100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 6. Let t(d) = -d - 1. Let m(g) = 6*t(g) - u(g). Let b(z) = 5*z - 2. Suppose 3*a - 7*a = c + 11, 2*a = 4*c - 28. Determine a*m(l) - b(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 30913*s - 30913*s + 119*s**3.\nAnswer: 119*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21791 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.63357 to 2 decimal places.\nAnswer: -8.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 11*m - 10, -3*v + 4*m = -406. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 - 6*q - 6. Let w be g(-4). Let k = 9029 - 81262\/9. Which is the nearest to w? (a) k (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -10\/17, 0.1, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wueuuauuxuuxuuuuuuxw. What is prob of sequence ex?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:46 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1084868 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*d**2 - 116*d**2 + 3*d**3 - 2 + 2*d + 0*d**3 in the form m*d**2 + t*d + h*d**3 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 3, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 4, j: 2, i: 5}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2709*c**2 - 5412*c**2 + 2709*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -300 + 300.1896. Let o = 35.9304 + z. Let l = o + -37. What is l rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 - 9*z + 5. Let x be f(-5). Let r = x - -90. Solve -7 + 19*s - 74*s - 13 + r*s**2 = 0 for s.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/27 (b) 2\/99 (c) -1\/4 (d) -89170 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 - 8. Suppose -6 = -0*l + l. Let q be 0 - l\/(0 - 2). Let x(s) = -s**3 - 3. Give q*v(z) + 8*x(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/17, -1, 25, 4 in decreasing order.\nAnswer: 25, 4, 12\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/(-15) + (-1)\/(-3). Suppose -a*o - 37 = 18. Let l(t) = -t**2 - 12*t + 6. List the prime factors of l(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 2*f**2 + 3*f + 2. Let p(a) = 2*a**3 - 3*a**2 - 3*a - 3. Calculate -3*j(l) - 2*p(l).\nAnswer: 2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0\/3 + 10. Let f be -4*(n\/(-6) + 0). Calculate the greatest common factor of f and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*u + 17, 3*l - 5*u + 20 = 8*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -485665*n - 44195513. Determine o(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-177*8)\/(6\/(-20)). What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*y**5 - 4*y**5 - 13*y**5 + (4*y**4 + 7*y - 7*y)*(-y - 2*y + 5*y).\nAnswer: 79*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9504 and 72864.\nAnswer: 218592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 + 1 = 0. Let z be 0*x\/(1\/1). Solve -5*t + 10 + z = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008929966477 rounded to seven dps?\nAnswer: -0.000893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*h - 13, -2*h - 2 = 2*k - 12. Let z = h - 1. Solve -s + z = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 70367.11 grams?\nAnswer: 70367110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18668.\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/564 and 83\/36.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 32 = -5*x. Let k be (16 - 19) + 18\/x. Which is the second smallest value? (a) k (b) -2 (c) 1\/6 (d) -2\/147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 477\/6361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*m + 65590, 8*f - 13*f - 5*m = -81965. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -94.0115. What is z rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 20*z - 17*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18535*g**3 - 5170*g**5 - 18531*g**3 + 37066*g**3 - 4410*g**5 - 10355*g wrt g?\nAnswer: -191600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(21\/70)*-3. Suppose 24*j - 9*j - 45 = 0. Solve 9\/4*d - 3\/2*d**j - 3\/4*d**y + 9\/4*d**4 - 3\/4 - 3\/2*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15868614 to the power of 1\/2, to the nearest integer?\nAnswer: 3984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23155935.\nAnswer: 3, 5, 11, 140339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 74, 164, 282, 422?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 23. Let z = n + -7. Suppose z*r - 72 = 152. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22061730.\nAnswer: 2, 3, 5, 735391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507375737 to the power of 1\/2, to the nearest integer?\nAnswer: 38825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 28*z - 1. Let k be q(-15). Let a = -192 - k. Solve -2*m - 6 = -a*u, 0*u - u + 5*m = 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9. Suppose g = 5*q - 13 - 12. Find the second derivative of -w**5 + w**5 + 5*w + w**5 + 0*w**q wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623715?\nAnswer: 5, 324743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 8*b - 5 - 2*b)*(2*b**3 + b**3 - 2*b**3 - 2*b**3 + b**3 - b**3 + (-7*b + 0*b + 2*b)*(-2*b**2 + 3*b**2 - 2*b**2)).\nAnswer: 32*b**4 - 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 104, -43269 in ascending order.\nAnswer: -43269, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 - (-15045)\/165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {r: 1, v: 4, j: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 1\/2 (c) 0 (d) 1580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqtc when four letters picked without replacement from ttqttqttcqqqtqqqct.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16297*k**3 + 11138*k**3 + 949*k**2 + 1963*k**2 wrt k.\nAnswer: -30954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*f - 255*f + 509*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u + 4 - 3 + 0 to a*u + p and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.51 - -1.51. What is the second smallest value in r, -1, -6, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + z = -4, -r - 21 = 7*z - 8*z - 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 22 - 2*z**2 - 4*z - 24. Suppose 3*u + 22 = 4*h, 0*h - h = 2*u. Calculate c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 20. Let z be m(5). Let 12 + 8 - 21 - 4*n**2 + z = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2448) + 6*((sqrt(2448) - (0 + sqrt(2448)) - sqrt(2448)) + sqrt(2448) + sqrt(2448))) + -1)**2.\nAnswer: -168*sqrt(17) + 119953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 788 = -t - t, 0 = 2*t - 2. Is 2*2 - (4\/1 - f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 10*i**2 - 80*i - 25. Let v be j(-5). Let x(l) be the third derivative of 0*l + 3*l**2 + 1\/4*l**4 - 1\/20*l**5 + v*l**3 + 0. Factor x(o).\nAnswer: -3*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*v + 2512 - 2091 + 2666 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 831 and 40996?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 65 + 2*j**2 - 24*j**3 - 63 to the form s + i*j**3 + a*j**2 + n*j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*m + 245*m - 200 = 0. What is the nearest to m in 11, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -95*m + 388*m - 474 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 14*v + 20 = 0, -21 = -3*c - 3*v. Let u(b) = 3 - 2*b + 51*b**2 - 24*b**2 - 31*b**2 + 3*b. Calculate u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951488 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from qrrurgfgruulr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 1. Let n(t) = -4*t - 5. Let u(p) = n(p) + 5*y(p). Let v(c) = 6*c + 9. Let h(a) = 2*a + 3. Let i(s) = -2*h(s) + v(s). Give u(i(f)).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 0.02.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 2 + 56 - 61 - 5*i**3 + 66.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*u - 56*u - 206*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -62) + (15 - 103) - (-21 - -2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 25*k = -7*k + 48 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 10*g - 7. Let x(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/6 - 2*k**2. Let h(v) = -r(v) - 6*x(v). Give h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6)*6\/9. Suppose 4*w = u - 5. Is w >= 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykqles. Give prob of picking 1 e and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-3))\/((-6)\/(-3538)). Let i = t - -780. Calculate the common denominator of 288\/90 + (-8)\/20 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7785 - 7716. Calculate the remainder when r is divided by (-2 + 6)*6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 11 - 5*u**3 + u + 7 - 15 to y*u**2 + h + i*u + f*u**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 129, 119, 109?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193791 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 40 = -830*x + 815*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 2?\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*j - 75*j + 98 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/252*(-234)\/884?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(2*f + 0*f - 4*f)*(0 + 1 + 0 + (-5 + 5 + 1)*(-1 + 3 - 4)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 7. Let b(l) = -4*l - 7. Let q(k) = 2*b(k) + 3*m(k). Give q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3 + 1. Suppose -p*b + k = -7*b + 54, b = 5*k - 10. Suppose 3*s = s + b. Calculate the greatest common divisor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35090*t - 53001?\nAnswer: -35090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68893907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 382511298.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1270 by -26.\nAnswer: 635\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 17 = 4*d, 0 = -962*u + 953*u - 3*d + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 7006*k - 7013*k - 26 = 0, 4*k = 2*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 + 528*m**2 - 29806*m + 29280 = 0.\nAnswer: 1, 80, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111240?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.58\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**3 + 37*o**2 - 184*o - 10. What are the prime factors of s(5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5548*j**4 + 2*j**3 + 41*j**2.\nAnswer: 133152*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3 + 9*k**2\/2 - 84. Factor j(r).\nAnswer: -3*r*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55998 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10607 - -10609. Let j(c) be the second derivative of -3\/140*c**5 - 1\/7*c**3 + 0 + 14*c + 3\/28*c**4 + 0*c**m. Factor j(g).\nAnswer: -3*g*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 18*d**2 - 6*d**2 + 15*d**2.\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109471 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -77*z - 29. What is the hundreds digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Let m(y) = 4*y - 7. Let n(l) = l - 1. Suppose 0 = 16*r + 21 - 5. Calculate h*n(a) + r*m(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 + 2*d**2 + d. Let s(r) = r + 9. Let k be s(-10). Let p be y(k). Let q(z) = 2*z - 8. Let g be q(p). Solve b = -b - g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.11 - 40.1. Let x = 0.01 - n. What is the nearest to -1\/4 in 1\/2, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.94 + -0.06. Suppose -3*u + 6 = 15. Sort -3\/7, u, f in decreasing order.\nAnswer: -3\/7, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 24. Let v be 580\/(-180) - (-4)\/18 - -16. Suppose 0 = -v*a + s*a + 30. Calculate the remainder when 59 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5853 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1964 - 39*y + 1964.\nAnswer: -39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/45 + (-4)\/18. What is the third derivative of -2*c**l - 5*c**3 + 4 + c**2 - 4 wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*f = 7*f + 8818, 5*s - 4*f = 11027. List the prime factors of s.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*d**2*n**2 - 2*d**2*q + 2*d*n**2 - 1724*n**2*q + 2*q + 1 wrt d?\nAnswer: -36*d*n**2 - 4*d*q + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, g: 11}. Give prob of picking 2 q and 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 - 1076711*m\/9 - 2153426\/9.\nAnswer: (m - 1076713)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1490, 3030, 4574, 6122?\n\"Answer: 2*j**2 + 1534*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2 + (21 + -28)*(-5)\/(-5).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 160391027, 320782049, 481173071, 641564093, 801955115, 962346137?\n\"Answer: 160391022*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 57 = 65*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6360, 2\/5, -0.07 in descending order.\nAnswer: 2\/5, -0.07, -6360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (745\/(-1341))\/(55\/(-66))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 1038004.\nAnswer: 5190020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06327783324 plus -0.3?\nAnswer: -0.36327783324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356 + 440. Calculate the highest common factor of l and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Solve h = -3*o - 3, -7 = -2*b + 4*o - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 9545503.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1930226644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15169?\nAnswer: 7, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2196074 is divided by 469?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 2, y: 1, d: 1}. What is prob of sequence yi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n + n)*(-51 + 12*n + 51) + 4*n - 4*n - 4*n**2 in the form x*n**2 + z*n + j and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2.7 (b) 4 (c) -3 (d) 1.2 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*h + 79 + 106, -5*n + 2*h - 160 = 0. Suppose -22*a = 528 - 154. Let u = a - n. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l\/(l*(l**(-4\/3)\/l*l)\/l*l))**(-29)\/((l**3\/(l*l**(4\/7)*l))\/(l**0)**(-2\/11)) assuming l is positive.\nAnswer: l**(2224\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.741943 millilitres in litres?\nAnswer: 0.006741943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 53 and 597\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32097444 is divided by 866.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 54 = -8*t. Let n be t\/(-12) - (-1)\/(-2). Solve 0 = -n*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r - 314620 + 315133 = 0. Suppose 0 = 5*k - 4*f - 37, -4*k + 2*f = -24 - 2. What is the remainder when r is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from uxxxumxmxxumxxmmm.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, h: 4, q: 3}. Give prob of sequence kh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1663 in decreasing order.\nAnswer: 1663, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3 - 5 - 6*b + 3 as z*b + v and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + -1 + sqrt(1008) + sqrt(1008) + 3 + sqrt(140)\/(sqrt(20)*-1) + -1))**2.\nAnswer: -1656*sqrt(7) + 33471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -316, -172, 62, 386, 800, 1304, 1898?\n\"Answer: 45*a**2 + 9*a - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4030677 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*l**2 + 1280 + 1823*l - 938*l - 876*l wrt l.\nAnswer: -22*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 7. Suppose -5*q + 3*x + 58 = 0, 5*q - 96 + 22 = -x. What is the smallest common multiple of p(-5) and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 2*s - 2, 11 = 3*j - 4*s. Solve j*v - 10*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19465054 is divided by 1361?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321609571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 19*d + 1. Give l(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 40. Solve -1 = k*w + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 - 17*r. Let o(q) = 11*q + 40. Let z(c) = -4*c - 15. Let m(g) = 3*o(g) + 8*z(g). Calculate m(a(k)).\nAnswer: -4*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515099 is divided by 756574?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -154, -140, -104, -34, 82, 256, 500?\n\"Answer: 2*r**3 - r**2 + 3*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n + 2. Let v(f) = -2*f**2 - 5*f - 5. Suppose 15 = -3*y, -3*k + 3*y = y + 5. What is k*m(o) - 2*v(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 30*x - 6463 - 1517 = -188*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*z - 4*h, 7 - 2 = -2*z + 3*h. Let w(t) = 8*t - 16*t + z*t. Let n(m) = -m**2. Calculate w(n(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from qdqdqqdqqwdqq?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 0*q - 2 - q. Let p(i) = 3 - 8 + 3*i + 8. Suppose -26 = 6*r - 3*r - 2*u, 5*u = 2*r + 21. Determine r*f(h) - 5*p(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16957 and 26939?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 1 + 3 = 16*j. What is the second biggest value in 0.2, 4, 1\/3, j, -0.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*l. Suppose 3*i = 36, -16 = -212*r + 214*r + 2*i - 3*i. Sort -8, r, 4, l in descending order.\nAnswer: 4, l, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399237027 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 - 3*x - 6. Suppose -5*d + 2 = -38. What is the lowest common multiple of j(5) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -3*a**2 + 2\/3*a**3 + 0 - 21*a. Let w(y) = -8*y + 13. What is -13*s(l) - 6*w(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11101011111101110011100 (base 2) to base 8\nAnswer: -35375634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 11:26 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38984.\nAnswer: 2, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23)\/4)\/(1\/(-8)). Suppose 5*x - 44 = f. Calculate the lowest common multiple of 8 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111552846, 111552844, 111552842, 111552840, 111552838?\nAnswer: 111552836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 15*j + 14. Calculate the lowest common multiple of 18 and y(5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.4 + 4.4. Let c = 3 + a. Let g = -39.9999841 - c. What is g rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 22*r - 14 + 14 - 12*r + 5*r.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1259750 times 0.023\nAnswer: 28974.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-36))\/(1\/(-32)*-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 3 + 3 + 2*h + 1 - 1 + h + 3*h - 6*h + (h - 4*h + 2*h)*(3 - 3 - 1) + (-h + h + 2*h)*(-570 + 201 - 106) + (-2*h + 4*h + 0*h)*(2 + 2 - 5).\nAnswer: -950*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7)*-3*(-1)\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*b - 19, -b + 786*f - 787*f + 5 = 0. Factor 1\/2*g**4 - 2 + 5\/2*g**b + 3\/2*g**2 - 5\/2*g.\nAnswer: (g - 1)*(g + 1)**2*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + (-6302)\/(-9453). Factor 1\/10*h**b - 3\/5*h - 7\/10.\nAnswer: (h - 7)*(h + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*z - g, 41*g = 5*z + 46*g - 75. Let y(k) = -k**3 + 10*k**2 - 9*k - 3. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 0, 0 = m + 3*m - 5*v + 24. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d0 - 347?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 265 in -3\/4, 4\/5, 5, -3, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 28*t**2 + 51*t + 29. Let f be p(26). Solve -6\/5*m**2 + 4\/5*m - 2*m**f + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2451918 by 21.\nAnswer: 116758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 1. Let j(u) = 11*u - 2. Let l(c) = -6*j(c) + 17*y(c). What is the derivative of l(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.55, -2\/41, 73\/10?\nAnswer: 73\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + 4*k + 3. Let l = 0 - -92. What is the remainder when l is divided by v(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**2 + 0*f**4 + 0*f**3 + 0 + 0*f**5 + 12*f + 1\/10*f**6. Differentiate a(d) with respect to d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3539\/2 + 1770. Which is the fourth biggest value? (a) -0.06 (b) 0.4 (c) 1\/11 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - f - 2. Let y(x) = 7*x**2 + 2. Let b(r) = 5*d(r) + 6*y(r). Let o be b(3). Solve -4 = -o*n + 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 36*n**3 + 27*n**2 - 27*n - 27. Let b(t) be the first derivative of 5\/4*t**4 - 2*t**2 + 4\/3*t**3 - 18 - 4*t. What is 27*b(u) - 4*x(u)?\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**3 + 10*m**3 - 7*m**3)*(3*m**2 + 0*m**2 + m**2).\nAnswer: 40*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 22*c**2 - 7*c + 132. Let s be x(-22). Suppose r - 13 = 3*w, -5*r + 0*w = 2*w - 48. Suppose -s = -12*k + r*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-135)\/36)\/((-3)\/(-16)). Let y(h) = -h**3 + 11*h**2 + 26*h + 13. Calculate the remainder when y(13) is divided by ((-8)\/f)\/((9\/(-60))\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 12.429\nAnswer: 0.74574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3 + 8. Let h be (d + -1 + 2)\/(-1). Suppose 0*q + 3*q = h. Solve q*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:28 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-3)*6\/5. Let i be (-2 + 3)\/(2\/a). Suppose -i*x + 24 = -4*f, -x + 2*x - 4*f - 12 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 2.2\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265 + -265. Let l be (5 - z - 1)*(-9)\/12. Sort -4, 3, l, 7 in increasing order.\nAnswer: -4, l, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 3*a - 8. Let r(u) = -5*u**2 - 5*u - 12. Let h(m) = 8*k(m) - 5*r(m). Let s be h(-3). What is the first derivative of s + 3 - 3*j + 0 wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 8*z**2 + z - 6. Let i be v(8). Suppose t - i*t = 0. Suppose 2*s - 92 - 20 = t. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(3\/4)*k)))**(-9\/2)\/((k*k*k**(-2\/41))\/(k\/(k\/(((k\/k**(-1\/6))\/k*k)\/k)))) assuming k is positive.\nAnswer: k**(-9505\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 86604 - 5220 = 109626. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.3 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18 and 55\/16551206.\nAnswer: 148960854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than -198\/719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.867163 and -0.33?\nAnswer: -2.26616379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/7 + 473*q**3\/7 - 472*q**2\/7.\nAnswer: -q**2*(q - 472)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 divided by -37?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -17680\/37 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 75 + 45 = 0. Let d be (-3)\/5 + 84\/n + -2. Solve d*s + 12 = -3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 + 5*t**2 + 8*t + 11. Let v(c) = 5*c**3 - 5*c**2 - 8*c - 10. Suppose j + 2 = 9. Let a(u) = j*v(u) + 6*o(u). Factor a(r).\nAnswer: -(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*g = 1451*g - 24 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 18\/7) + (-24)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 52389 (c) -0.15 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-84)*(-1221)\/(-148)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1132333330332?\nAnswer: -1132333331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.16 - 0.16. Let s = q - 6.0000031. What is s rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + g)*(-2*g + 0 + 0) - g**2 - 3484*g + 6*g**2 + 8 + 3487*g to z*g + x*g**2 + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 32 = -4*r, 4*t = -27*r + 26*r - 3. Solve p + r*x - 21 = 4*p, -5*x = -2*p - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025010 divided by 6.\nAnswer: -170835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 11821394*u + 82749660.\nAnswer: 2*(u - 5910690)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 - 5 + 3 - 11*g**2 + 10*g**2. Let t(q) = 20*q**2 + 26*q - 16. Let j(k) = t(k) - 6*y(k). Let w(l) = 5*l**2 + 5*l - 2. What is -3*j(d) + 16*w(d)?\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 2 in increasing order.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*f - 3*f - 24, 16 = -4*y + 4*f. Let b(k) = -k + 4. Let p(v) = 2*v + 4. Calculate the remainder when p(7) is divided by b(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 2620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.9 + -80. What is the third smallest value in -24\/7, 0, l, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 - 702*c\/5 + 2812.\nAnswer: -2*(c - 19)*(c + 370)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*i + 2*q + 330, 0 = 4*i + 4*q - 660. Suppose -a + i = -2*g, -379 - 413 = -5*a - g. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 22 (b) -16.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(7)*-4)**2*-2 + 1 + 1.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 290697?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1638*b*n**4 + b*n**2 + b*n - 89*n wrt n?\nAnswer: -39312*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 304\/20*(-5)\/(-2). Solve -37 - 220*g - 238 - g**5 + 23*g**3 + 75 + 4*g**4 - o*g**2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172404 divided by 4\nAnswer: -43101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2748560 and -149\/16450.\nAnswer: 96199600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(1\/3))\/z)\/z)**(7\/6))**(-2\/3) assuming z is positive.\nAnswer: z**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -22)*(-7)\/(-21). Suppose -r - 3*q + 15 = 0, -t = 3*r + 4*q - 8*q. Is 5 a factor of 8\/(-12) - (-32)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, l: 2, e: 5, h: 4, a: 1}. Give prob of picking 2 q, 1 h, and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*h**4 + 5*h**2 + 5*h**3 - 13*h**3 - 2*h - 6*h**2 - h**2 to f*h**2 + t*h + i*h**3 + m + k*h**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269.2 and -1.3033.\nAnswer: -350.84836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 785288 and 21756.\nAnswer: 16491048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8300 = 2*r, 3*r + b - 3031 = 9415. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 + 20*g**2 - 43*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + b**3\/3 + 114*b - 2. Let g be -4 + (3 - 1 - -2). Calculate the remainder when v(g) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1) - (0 - 1). Let y = b + 2. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/4))**(-13)*v**7*v**(-2\/5))**(-8) assuming v is positive.\nAnswer: v**(386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 234071533803.\nAnswer: 234071533808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662135 and 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 33356\/(-930) + (-1)\/(-5).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 58*b - 56 = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1279743 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x + 8. Suppose 5*i + 5 = 35. Let g be j(i). Let r = g + -67. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 2, u: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2, 0, 13 in ascending order.\nAnswer: -2, 0, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10*k + 8400 = 0. Let h = k - 1140. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4263, 34545, 116741, 276807, 540699?\n\"Answer: 4326*l**3 + l**2 - 3*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, v: 1}. What is prob of sequence vg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/12)\/(((-319)\/(-66))\/(-29)). Suppose 5*z - 9465 = i*d, 3629 = 3*z - 2*d - 2046. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - v**2 - v**2)*(-21 + 4 - 6*v + 5*v) in the form n*v + o + x*v**2 + d*v**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r**2 - 597*r - 127. What is the remainder when 27*-5*(2 + -3) is divided by f(-54)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1196, -109, -1\/2 in ascending order.\nAnswer: -109, -1\/2, 10, 1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6160.153 + -6166. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9919 - 7007. What are the prime factors of p?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + (-2 + 1 + sqrt(1377))**2)*1)*-4.\nAnswer: -5488 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 64\/557711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 1\/2, -1\/22 in decreasing order.\nAnswer: 69, 1\/2, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and -85\/78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285748.\nAnswer: 2, 71437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409541 by 409541.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b**2 - 647*b + 130. Give z(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from leededeeedleleld?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/d**(-2\/15))))**(-23) assuming d is positive.\nAnswer: d**(-736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 6. Let k = -284 - -283. Let v(c) = 7. Let r(l) = -1. Let g(z) = 6*r(z) + v(z). Determine k*j(t) - 4*g(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 44. Let j(s) = 4456*s. What is r(j(p))?\nAnswer: 19855936*p**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53310705.\nAnswer: 3, 5, 7, 71, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((186\/1302)\/((-6)\/14)*15)\/6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219797*i - 219794*i + 439591*i - 2369*i**3.\nAnswer: -2369*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*k + 178, 3*k - 5*h + 99 = 6*k. Let d = 0 - -16. Calculate the remainder when k is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:29 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f + 2. Let z(l) = -2*l**2 + l + 1. Let c = 236 - 235. Let i(p) = c*o(p) - 2*z(p). Let a(b) = -15*b**2. Calculate i(a(t)).\nAnswer: 675*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by -1?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7\/22, 0.06, 50, 1, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 6. Let n be 3*(b + 1 + -2). Let i be -3 + 23\/7 - (-96)\/56. Solve n = -v - i*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -27500*t + 2*t**2 + 27500*t. Let o(g) = 20*g**2 - 7. Give z(o(d)).\nAnswer: 800*d**4 - 560*d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 v when three letters picked without replacement from {o: 3, v: 1, y: 7, s: 1}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 200820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l + 244 - 244 as h*l + y and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3\/2 + 537*g**2\/2 - 4236*g - 51840 = 0?\nAnswer: -8, 27, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 31 - (-1404 + 1452).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 8*k**2 + 14*k + 58. Let n be j(19). Let v = 4038 + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 364 + -37625?\nAnswer: -37241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vwvvvgwdgvv.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 - -265. What is the remainder when 66 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -21147928?\nAnswer: 3\/21147928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*v - x + 5, -1411*v + 1414*v + 2*x = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 16. Let u be g(-8). Suppose 2*m + u*m + 4*m**3 + 753 - 753 - 6*m**2 = 0. Calculate m.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blk. Give prob of picking 1 l and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 268\/(-15) - 58\/435. Let y(f) = -f**3 - 18*f**2 + f + 19. Let v be y(c). Solve 2*z + 3*k = 3*z - v, -13 = 4*z + 5*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (360\/10)\/(-1 - -5). Solve -4*k - 2*j - d = 11, 3*k - 5*j = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -12749*t + 12731*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxzb. Give prob of picking 1 z and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-135)\/6)*7\/(-14). Put d, -2\/9, 0.08 in decreasing order.\nAnswer: 0.08, d, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2422*k + 3480 = 2770*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1400 and -11\/18520?\nAnswer: 648200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 5*t + 2*t)*(-t - 6*t + t)*(-38 + 15 + 20) + 3*t**2 - 3*t**2 + t**2 to a*t**2 + z*t + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 357. Let q(y) = -y**2. What is a(q(c))?\nAnswer: 2*c**2 - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 393277*t - 61.\nAnswer: 393277*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = 2*i. Let p(g) = 2*g**2 - 12*g + 12. Let q be p(5). Calculate the smallest common multiple of q\/(-3)*396\/(-24) and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 take away -33?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvjjvvjjv. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 12?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/4)*(-7)\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/14*4\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 + 3424212?\nAnswer: 3423424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064\/3*(18 + -15) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47192.83 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 57*s**2 + 320*s - 70. Give b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 560 - 560 - 9151*n + 9441*n + 8*n**2 - 3*n**4 in the form p*n**2 + b*n + d*n**4 + j + r*n**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 56 = -2*a - 58, 10*a + 5 = -2*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7463 + 7464. Which is the nearest to 21? (a) s (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9305 is divided by 227.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 5 (b) 4\/5 (c) -1\/5 (d) 0.1 (e) 13 (f) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7921.27ml to litres.\nAnswer: 7.92127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Let y be 3\/(-4)*2\/(-3)*0. Suppose -2*o + 178 = r*j, y = 2*o + o. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 4*m**2 + 3*m**2)*(0*m - 1 + 3*m**3 + 0*m).\nAnswer: 9*m**5 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = 2*o + 4, -a = -4*o + 6. Is -2 + (2*41 - o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*n + 8, -8*s = -3*s - n + 17. Let w be (-10)\/s + 3\/(-6). Suppose -d - w*d + 15 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-3)\/(-3)))\/(3\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44393908 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + (-10 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -846 - -1627. Let w = -781.00000317 + v. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ssssssssusuusss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140773579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from lllllllmllltl?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1676682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 - 1 - 0 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 23 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 17. Let q be h(-7). Suppose -1 = -z + q. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 210 + 3*o + 210 - 5*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 2. Let z be s(0). Suppose 2*a + 23 = -2*a + 3*q, 3*a = z*q - 16. List the prime factors of 3 + 2\/(4 + a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 33. Let y be 138\/15 + (-4)\/(-5). Let l be (-1890012)\/o - 4\/y. What is l rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*((3*-2*sqrt(2940) + sqrt(2940))\/(sqrt(84)\/(-5*(sqrt(28) - sqrt(7)))))**2 + -3).\nAnswer: 4593735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b**2 - 4*b - 1. Let f(o) = -441*o**3 + 13*o**2 - 28*o + 34. Let s(a) = -f(a) + 7*g(a). Find the third derivative of s(h) wrt h.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, r: 5}. What is prob of sequence br?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) -2\/5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-29\/4)*(q*q**28*q*q)**37)**(-3\/4) assuming q is positive.\nAnswer: q**(-3441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 702 and 6318.\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484.8 + -488. Which is the closest to f? (a) -1\/4 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v + 2. Let r be a(2). Let d be (11\/(-2))\/(8\/(-112)). Let j = d - r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 273 = 67*w - 49*w. Solve -59*j + w*j = 114 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 5*q - 3*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*3783\/9 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.532178mm?\nAnswer: 0.000532178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -3\/7 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102100 (base 5) to base 11.\nAnswer: -2611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1381 - -90.5081. Let x = -88 + u. Round x to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 63. Suppose -3*s + v = -331. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 12. Let n be 3\/d*(60 + 2). Let m = n - -56. What is the remainder when 98 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1 (c) -0.1 (d) -0.09 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 3:19 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {b: 1, q: 2, z: 2, k: 1, t: 2, e: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 - 60*l**2 + 453*l - 390 = 0.\nAnswer: -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -534286.5 and -0.6.\nAnswer: 320571.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 - (6 + -4))\/1. Let z = -60 - -26. Let y be (z\/6)\/(8\/(-144)). What is the greatest common factor of i and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-404.975\nAnswer: 32.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*x + 554 = 0, 4*y + 38*x - 34*x - 736 = 0. What is the lowest common multiple of y and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 84 + (-960663)\/7447\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 + 186. Find the second derivative of 2*y + 2 + r*y**5 + 5*y**3 - y - 34*y**5 + 0*y**3 wrt y.\nAnswer: -80*y**3 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 10. Let k(n) = -n + 1. Let p(d) = -2*k(d) - r(d). Give p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*s**6 + 4*s**2 - 293*s**5 + 292*s**5 + 8 + s**2 wrt s.\nAnswer: 2040*s**3 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p. Let t(n) = -8*n - 15*n + 37*n + n. Determine z(t(m)).\nAnswer: 75*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5188454 millimeters in micrometers?\nAnswer: 518.8454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 630256294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.785668 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 3*5\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 5 = -60*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330182 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c + 30 = -5*c, 3*c + 15 = 0. Let j be 5\/((-15)\/(-6)) - z. Suppose -2*s + 113 - 105 = 0. Is s > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779907?\nAnswer: 227, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(3 - 3 - 4*y**4).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/((-4)\/(-120)). Suppose -o + 3*s = 2, 2*s = -s + x. Suppose -3*l + o = -8. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:50 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x - 138. Let j = 26036 + -26045. Give a(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5931*p**3 + 2*p**2 - 4*p - 9. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 10 (c) -2\/11 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3064500 (base 7) to base 10.\nAnswer: 368970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31104 (base 6) to base 4.\nAnswer: -1000300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y**3 - 32*y**3 + 126*y**3 - 32*y**3 - 34*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*a + 39*a + 1 - 3)*(0*a + a**2 + 0*a) to the form d*a**3 + y*a + j + q*a**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:28 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -15. Let q be (1\/3)\/(s\/(-15)). Let i be 120\/175 - (-2)\/q. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, q: 6, i: 4, a: 1}. Give prob of picking 1 q, 1 i, and 2 x.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o - 1. Let r be c(-4). Let f = -172 + 219. Let q = r + f. Solve 0 = a - 2*p - q - 1, 3*a = -p - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023527171 a multiple of 4526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/7 + 102*s**2\/7 - 116*s = 0.\nAnswer: -58, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h + 681. Let n(k) = 5*k + 182. Let g(v) = -15*n(v) + 4*y(v). Give g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25749560 divided by 8?\nAnswer: 3218695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769454?\nAnswer: 2, 7, 17, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - (-4)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let b be c(-2). Let u be 6\/(-15) - 10\/(-25). Let g be (u - 1861) + b - 1. Round g to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 37 = 10*v - 15*v, -o = v + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 2. Suppose -3*t + 3*p = -15, -4*t = t - p - 17. Let l be d(t). Let m = -4.864 - 0.136. Which is the nearest to 0.1? (a) 2 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8725, -8762, -8799, -8836, -8873?\n\"Answer: -37*r - 8688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -11*g**2 - 8*g - 2. Does 18 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*x**2 - 1275 + 1275.\nAnswer: 268*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 - -141. Suppose -s = -5*b + 2047. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42273 and 10?\nAnswer: 422730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -1 (c) 1\/9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 356461 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3) - 1)*42\/(-315)*10\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17121 (b) -10 (c) -4\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/490050 and 43\/198.\nAnswer: 490050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 16*k + 0*f + 31 = -6*k - f, -26*f - 141 = 9*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 11 = -3*h + 5*i, 4*h + 3 = -5*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45356279.\nAnswer: 113, 199, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.1, -5, 10\/3, -1, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1357*j**2 + 22 - 2136*j**2 + 2849*j**2 - 24 to the form p*j + r*j**2 + s and give r.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -144*-0.3\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose -2*l + 2*s - 6 = 0, -f*l + s - 2*s + 3 = 0. Suppose l = -4*a + 3*i - i + 13192, 4*a = -4*i + 13216. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) + sqrt(136)*1*-2 + sqrt(136) + (sqrt(136) - 4*(2*sqrt(136) - sqrt(136) - sqrt(136))))\/(((sqrt(616)*-4)\/sqrt(11))\/sqrt(7)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 82*u + 79*u = 156*u, -4 + 5 = -3*u + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 - -3 - (42 - 58))) + 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3256, 3389, 3522, 3655?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - v = -452, 5*d = 6*d + 2*v - 106. Suppose 3*q - 5 - 4 = 0. What is the common denominator of -87\/4 and 1 + q - d\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46654, 46653, 46652?\n\"Answer: -j + 46655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, e: 1, h: 1, j: 1}. What is prob of sequence hjy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 5. Let q be m(8). Is 10 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.09 + -5.09. What is the closest to 0 in -1\/9, -0.3, l?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 171, 314, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781117*a - 390557*a - 390561*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) 0.3 (c) -4\/3 (d) 1.627 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 368440\/3*n + 91204 + 4\/3*n**4 + 32016*n**2 + 408*n**3 = 0.\nAnswer: -151, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9684413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.5814?\nAnswer: 0.6814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 104110*x + 541944605.\nAnswer: 5*(x - 10411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 1449147593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*c**3 - 26002*c - 26258*c + 52260*c.\nAnswer: -151*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 + 96*s**2 - 74*s - 109. What is j(-20)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 41. Let b(u) = -3720*u - 10. Let r(m) = 731*m - 2. Let d(v) = -2*b(v) - 10*r(v). Let o(z) = 10*z + 3. Give s*o(a) + 3*d(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100545512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 15. Suppose u = -5*g + 42, 4 = 5*g - h. What is the smallest common multiple of u and -1 - -1*(23 + 0)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -539.35 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g + 737. Let a be j(19). Let t(o) = -1. Let y(h) = -2*h**2 - 5*h - 1. Let x(w) = 5*t(w) - y(w). Determine x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*v**(-14)))))\/v*v*v*v**(-11)*v)**41 assuming v is positive.\nAnswer: v**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/148 and -11\/26196.\nAnswer: 26196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133838?\nAnswer: 2, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let m = 5 - q. What is the second derivative of m*s**2 - 2*s - 5*s**2 + 3*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -v - 39, -a + 2*a + 3 = 5*v. Let s = 53 + -136. Let y = a - s. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c = -50*c - 2*k - 2, -38*c + 41*c + 5*k = -13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-2)*(-88)\/9 and 44\/(-18)*((-450)\/40 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 2*m + 0*m)*(-4 - 2 + 5) + (0*m + 1 + m + 2*m)*(0 + 3 - 1) to the form n*m + q and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 - -903\/5. Let o(s) = -3*s + 15. Suppose -u + 2*u - 6 = 0. Let f be o(u). What is the second smallest value in z, 0, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**3 + 14*b**2 - 3*b. Suppose -2*v - 57 = v. Let j = v - -31. Let a be l(j). Round a to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than 73\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/178179119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 11*y**2 - 568*y + 4938. What is k(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 30249\nAnswer: -2\/30249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6))**(1\/7)\/(n\/n**(-4)*n**(-21)))**(8\/5) assuming n is positive.\nAnswer: n**(2692\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and -351?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*v + 30, 4*x + 5*v - 1 = -13. Suppose 0 = -l + x*l - 6. Calculate the remainder when 26 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175824 + 0.007?\nAnswer: -175823.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/16*42\/9. Sort 4, r, 5 in descending order.\nAnswer: r, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23*-14694.89\nAnswer: 337982.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/15 + -184\/105. Let q = -0.7 - 3.3. Which is the closest to w? (a) 5 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*5*(3 + -5*sqrt(180)) + -5)*6)**2.\nAnswer: -216000*sqrt(5) + 4064400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**2 - 1 - 3 - 32*r - 32*r + 3*r**3 - 30*r + 92*r in the form x + q*r**2 + g*r**3 + u*r and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8547 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 24*z - 23. Let n(j) = j**3 - 11*j**2 - 12*j + 15. Let l be n(12). Is d(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 31 = j - 2*w, 0 = -5*j - w - 22. Let n be 8\/(3 - j\/(-2)). Solve 8*s = 4*s - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 15*g - 1. What is y(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8)*-16*35*(-12)\/(-1008)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*r + r + 3, -4*f = 0. Put r, 0, 7 in descending order.\nAnswer: 7, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbabababoobdoe. What is prob of sequence ba?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50067959 is divided by 5006795.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48465 is divided by 22947?\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/(b\/(((((b\/(b\/((b\/b**(-6\/13))\/b)))\/b)\/b*b)\/b)\/b*b)))\/(b*b*b**(-4\/3)*b*b**(-1\/13)) assuming b is positive.\nAnswer: b**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-30)\/(-4) - -2). Which is bigger: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6930 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20.2 times -3802.95\nAnswer: 76819.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38132*k = -3402794 - 1554366 for k.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-6\/5)))\/(q\/(q\/(q*q\/(q\/(q*q**(8\/7)*q*q)))*q))*(q**(2\/27)*q)**(-5\/6) assuming q is positive.\nAnswer: q**(-21761\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287)\/246*63\/196.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -81 (b) -2\/9 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75150\/229 greater than 329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/6 + 2\/4. Let d = 2\/429 - -1702\/3003. Let x = -0.257 + 0.057. What is the second biggest value in d, q, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*x**2 + 2*a*x + a + x**2 - 14022*x + 274429 wrt x?\nAnswer: 2*a*x + 2*a + 2*x - 14022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 1, a: 4}. What is prob of picking 3 a and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 + f + 3. What is o(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153)*3)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - (-7 + -1 + 9)) - -54 - 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:04 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.2452\nAnswer: -0.7452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqgggq. What is prob of sequence qg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-26))\/((-325464)\/(-2272)).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 6*n**2 + 3*n + 18. Let r be g(-2). Suppose -5*p - 4 + 0 = -2*q, p - 4 = 2*q. Put q, -1, r in descending order.\nAnswer: r, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-332)\/36 + 4\/18. Let a be 4\/(-6) + (-6)\/c. Let u = 0 + 2. Solve a = -x + u*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 175*z + 174. Let i be m(1). Let y(k) be the second derivative of -k**5\/20 - 5*k**4\/12 - k**3\/3 + 3*k**2 - k. Calculate y(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + -4724\nAnswer: -4724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281 + 401 - 108 + 15 + (-4 - 1 + 4)*(-1 + 2 - 3))*(161*r - 161*r + 6*r**3).\nAnswer: 3546*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.8 + -0.8. Let j = 15 - v. Let b = 4 - j. Does 1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 117 + 238*i**2 + 127 - 390 + 146.\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1863683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*v = 202*v - 8058. What is the least common multiple of 12 and v?\nAnswer: 16116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhnahhvax. What is prob of sequence anh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -2.1. Let u = -0.8 + t. Round u to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523120285 divided by -5.\nAnswer: 104624057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -818*i**2 + 2730*i. Let t(o) = 32*o**2. What is z(t(c))?\nAnswer: -837632*c**4 + 87360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 24?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -182 - 58. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, x: 1, r: 4, y: 1, n: 2, h: 2}. Give prob of picking 1 y, 1 h, and 1 d.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - i**2 + 7*i - 7. Calculate k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22330439 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 15, 16, -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) -6\/13 (d) 2\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 67*j**2 + 23*j - 8. Let c be f(22). Suppose c*h + 770 = 36*h. What is the remainder when h is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.0804444382427?\nAnswer: 0.3804444382427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/42 + (-4)\/64*-8.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5487.\nAnswer: 5487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -558 - 3?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 + 1205289987?\nAnswer: 1205289987.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 440090.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(-39)\/(-52)*4\/6. Let g be (-1 + 218\/b)\/((-33)\/22). Suppose 3*r - g - 20 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -0.3, 0.5, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3. Suppose -2*t + 100 = -2*v, -4*t - 4*v - 245 = -9*t. Let b be ((-1)\/(-3))\/(1 + (-40)\/t). Let f(n) = 2. What is b*f(x) + 2*j(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-1\/9))\/((h\/h**(-4\/9))\/h))**(-41))**(-47\/4))**(-3\/20) assuming h is positive.\nAnswer: h**(-1927\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*m = -166 - 22, -3*g = -2*m - 112. Suppose 2*r + 0 = 3*s + g, -4*s - 80 = -4*r. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1225\/3711 - 4\/1237. What is the fourth biggest value in -3, z, -1, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30197309 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266713.\nAnswer: 17, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let p be m(4). Let o be (1 - (1 + 3)) + (-8 - -15). Let z = -1 + 7. Solve p*k - o = z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 29*o**2 + 3047*o + 3041. What is m(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (-4 + -16)) + 8 + -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11 = 11. Suppose -16*q + o*q = -1808. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 37*b**2\/2 - b - 126. Let y(l) = -l**2. Determine t(y(h)).\nAnswer: -37*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10619, -20106, -29593?\n\"Answer: -9487*o - 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from kcrrrckr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 94\/3 of a hour?\nAnswer: 1880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:28 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37823, 37825, 37827, 37829, 37831?\nAnswer: 37833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - ((23 - -32) + -34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 2201121002?\nAnswer: -2201121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7925197, -7925198, -7925199?\nAnswer: -7925200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4142 (base 5) to base 13\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -905?\nAnswer: 8145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + 4*c**2)*(-2457*c**2 + 235*c**3 + 2457*c**2) + 2*c - c**5 - 2*c.\nAnswer: 939*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 11*u - 64. Let g be v(-15). Let z(d) = -3*d - 7. Let f(b) = -3*b - 6. Let m(x) = -4*f(x) + 3*z(x). Give m(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 16*v**2 - v - 12. Let n be i(-16). Suppose 0 = 3*h + 4*s + s - 118, 0 = -2*s + n. Calculate the highest common divisor of 54 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2619044 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46585 and 26565?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -19*z**4\/12 - 3*z**2\/2 - 17*z + 9. Let y(q) be the first derivative of d(q). What is the first derivative of y(x) wrt x?\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/3 in -1\/4, -2\/13, -2\/3, 20\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.586 + -76.586. Let m = 78 + o. Put -8, 3\/2, 5, m in ascending order.\nAnswer: -8, 3\/2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154.1523 - 55907.\nAnswer: -56061.1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7229.04 micrometers?\nAnswer: 7.22904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -7, 0, -1, -5, -617, 1 in increasing order.\nAnswer: -617, -7, -5, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 21894?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7405 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/9 and 127\/13932.\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 31 = -113. Determine b, given that 31*b**2 + 2*b - 5*b**3 - 2*b - k*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115837?\nAnswer: 115837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*z. Let n(b) = 2*b**2 - 14*b + 4. Let d be n(7). Sort -1, z, d.\nAnswer: -1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.025638069 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -4427. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185753.\nAnswer: 185753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -9, 3\/16, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*l = 221*l. Let b = -15875 + 94751\/6. Let q = -83 - b. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11 - 5 = 0. Let j(q) = -q - 11. Let o be j(-5). Let a be o\/30 + (-37)\/(-35). Are s and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*c + 19, c + 210*j - 14 = 213*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -55*i**5 + 755*i**4 - 2485*i**3 - 735*i**2 = 0?\nAnswer: -3\/11, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/5 - 386*o - 59712\/5 = 0.\nAnswer: -933, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -5. Let t = 13 - v. Let l = 6 - t. Solve 6 = 2*g + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3 - 382*f**2 - 16418*f + 16798 = 0.\nAnswer: -37, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88.797 + 0.203. Let d = 89.0000244 - q. What is d rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-78)\/(-5) + 4\/10. Suppose 52 = 2*t + x. What is the greatest common divisor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -7, 4, 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j**(-1\/5)\/j)\/j)*j*j**(-4\/5)*j)**(-8\/5))**(-7\/5))**(-46) assuming j is positive.\nAnswer: j**(-43792\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10*7\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 s when four letters picked without replacement from sfsssf?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3293\/4, 0.1, -0.3.\nAnswer: -0.3, 0.1, 1\/5, 3293\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*322.\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 - 3119*q**2 - 134050*q + 6506. Calculate d(1081).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -2*15\/6. Solve -r*v = -v + 25, -2*k - 4*v - 22 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 1 + 5*v**3 + 5*v**2 + 81*v**2 to l + q*v**2 + h*v**3 + i*v and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -128, -239, -394, -599, -860, -1183?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 1. Let a(l) = -2*l - 3. Let x be (0 - (1 + -6))\/1. Suppose 0*m - 3*m + 8 = -w, -x*m + 46 = 3*w. Suppose -2*o = -w*o - 15. What is o*u(d) + a(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - 101?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 + 26*w + 3. Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -651405 (base 8) to base 13\nAnswer: -78217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 49*r**2 + 3 + 2*r + 9*r**2 in the form i*r**2 + n + m*r and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9182.\nAnswer: 2, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.32 or -34?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-15 + 4888\/130)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 - 2*u. Suppose -6 = -2*d + 5*d. Let k be t(d). What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 707830 - -21?\nAnswer: 707851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {a: 1, p: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (18 + -15 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71.9*0.04\nAnswer: -2.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - m. Suppose m*t - 4*t = 10. Solve -t*u - 13 + 3 = d, -4*d = -5*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 7*j + 14, 460*p - 456*p = j - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 104944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqq when three letters picked without replacement from {v: 1, n: 2, g: 1, q: 8, d: 2, t: 1}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 51466 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6 + 1019*r - 548*r - 474*r. Give z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 + k - 3. Let c be o(-4). Suppose -5*p - 25 = -5*w, 5*p - w - 2*w + c = 0. Sort -2, p, 3 in increasing order.\nAnswer: p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = -2*w, -3*w = 4*y - 1217. Suppose 5*m = m + y. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**9)**(-2\/61)\/(x**10*x**(1\/12)) assuming x is positive.\nAnswer: x**(-7621\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 25*z + 4. Let p(d) = -22*d - 2. Give -5*p(s) - 6*q(s).\nAnswer: -40*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -296109.\nAnswer: -148054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 2*x + 9*x + 0*x**2 - 5*x**2 - 10*x**2 - 25. Let n be w(7). Solve z = n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39920822*i**2 + 108072389 with respect to i.\nAnswer: 79841644*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451805.\nAnswer: 5, 109, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-9)*f**(1\/4)*(f\/(f**(-6\/13)*f))\/f**(-8) assuming f is positive.\nAnswer: f**(37\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**4 + 3*q**3 + 11*q**2 - 3*q - 9. Let j(y) = 3*y**4 + 2*y**3 + 5*y**2 - 2*y - 4. Let n(r) = 4*h(r) - 9*j(r). Suppose n(f) = 0. Calculate f.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2, 1776.7, -0.23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8266, 16535, 24804, 33073, 41342?\n\"Answer: 8269*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3254277 is divided by 1322?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8273793 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153219, 153187, 153135, 153063, 152971?\nAnswer: 152859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 71*r - 158 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 1 - 1)*(153 - 138 + 225)*(-2 + 2 + 2)*(-2 - 2 + 3) as s*r + x and give s.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 1\/4 (c) -2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 0*v**3 + 0*v**3 + (2*v - 5 + 5)*(-2*v**3 + 0*v**3 + 0*v**3) + 0*v**4 + 0*v**4 + v**4 - 12*v**3 - v**4 + 3*v**4 + 34*v**3.\nAnswer: -2*v**4 + 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5 = -5*b, 3*h - 9*b + 3*b + 214 = -16*b + 21 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2 + z - 2. Let r(q) = 10*q**2 - q + 3. Let m(u) = 3*h(u) + 2*r(u). Let k(d) = -d**2 + 5*d + 1. Let o be k(5). What is m(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13083 divided by -13\nAnswer: -13083\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/30 - 2*l**3\/15 - l**2\/5 - 5*l. Factor f(z).\nAnswer: -2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430091029, 430091025, 430091021, 430091017?\nAnswer: 430091013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 6 = -3*p, -h = -p - 31 + 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h. Suppose -5*w - 25 = -5*k, 15 = -4*k + 6*k + 3*w. Let d(y) = 668*y - 669*y + 6 - k. Give n(d(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -h + 162, -5*h + 756 = -3*d + d. Is h a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9165 = -2*x + 5*a + 22368, 2*a = 5*x - 78822. Calculate the highest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -27. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10 - -1)*1)\/(((-210)\/28)\/(-15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let m be (-50698)\/(-6) - v\/(-6). Let a = -185995\/22 + m. Calculate the common denominator of a and 111\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99355, 198722, 298087, 397450, 496811, 596170?\n\"Answer: -n**2 + 99370*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/(-4)*(2232\/(-45) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/24 - r**3\/3 - 6*r**2. Let c be o(-11). Let v be (-1 - -2) + 2\/1. Calculate the greatest common factor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l + 13. Let b(s) = 614 - 610 + 2*s + 2*s. Give -7*b(m) + 2*d(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 597336 + 2468289 = -7*k, 0 = -3*g + 5*k + 3065613. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -56 + 729*p - 243\/4*p**2 - 1\/32*p**4 + 9\/4*p**3. Factor r(l).\nAnswer: -(l - 18)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 10. What is d(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/4)\/v)\/v)\/v)**35)**(-39) assuming v is positive.\nAnswer: v**(15015\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9553276398.262 - 0.27\nAnswer: -9553276398.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 - 398.9. Suppose -g = -2*n + 35, 5*n - 100 = g - 11. Which is the fourth biggest value? (a) -0.2 (b) l (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 47, 0.5, 0.17 in increasing order.\nAnswer: -2\/11, 0.17, 0.5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2 - (7 + -8 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**3*h)))\/(h\/h**0)*h\/(h*h\/h**(2\/3))*h\/(h**(-11\/4)*h*h) assuming h is positive.\nAnswer: h**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(304)*1)**2).\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1311.7 - -1317.327. Let w = c + 23.743. Let q = 0.63 + w. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-10730)\/19350 - -5. Let v = -2\/1935 - k. Determine t so that -2\/9*t**2 + v*t - 2\/9*t**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 0*j + j**4 + 7*j**2 - 44 + 41 + 0*j in the form q*j + l*j**3 + d*j**4 + s*j**2 + p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - i - 1 + 6 + i - i + 2*i - 2*i + 2*i - i + (-4 - 2 + 4)*(3*i + 4*i - 5*i).\nAnswer: -4*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 4*m, c = -c + m + 5. Let o(y) = -4*y**2 - y**3 + 0*y**c + 2*y**3 + 7 - 5*y. Is o(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 53*o + 23186 - 758 = 0. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/120 - b**6\/360 + b**5\/120 + b**4\/24 + b**3 + 5*b. Let j(f) be the second derivative of o(f). Give j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009249017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186942 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose -c*o + 35 = 26. Solve -7 - 5 = -o*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -2*y**6\/5 + 2*y**5\/5 + 9*y**4\/10 - 14*y**3\/15 - 3*y**2\/5 + 4*y\/5 - 12. Suppose a(k) = 0. Calculate k.\nAnswer: -1, -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 8*b. Suppose -4 - 10 = m - 2*d, -52 = 5*m - 4*d. Let i be x(m). Suppose i = 3*y + y - 8. Solve r - 2*t = 1 + 4, -20 = -4*r + y*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Does 11 divide (-2 - -3 - -19) + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -1\/3*c**5 + 0*c + 0 + 0*c**3 + 1\/3*c**4 + 5*c**2 + 2\/15*c**6 - 2\/105*c**7. Factor f(u).\nAnswer: -4*u*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdddddkvggvkgdkrde. Give prob of sequence vv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212515161 and 3702?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84112 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-21)*1\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044bb7 (base 12) in base 9?\nAnswer: 12361554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -2. Let x be ((-95)\/p)\/(1\/(-8)). Is (6\/(-4))\/((-2)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.1 (c) 0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/9 - 7\/9. Let m = -84.32 + 84.62. Which is the smallest value? (a) x (b) m (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62289 times 2?\nAnswer: 124578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 - 2 - 49913\/(-24985). Let n = 64453\/7890 + w. Is 7 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhphbhbhhbb. What is prob of picking 1 b and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3199 + -1937. Let h = t + -729. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8820\/13440*228\/133\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let k = -0.0899 - -0.0899. Which is the closest to -1\/21? (a) v (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:52 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3930*l**2 + 26*l + 14. Let m(t) = -2615*t**2 - 18*t - 10. Give 5*h(w) + 7*m(w).\nAnswer: 1345*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let i(t) = 5*t**3 - 50*t**2 + 8*t + 5. Let f(y) = 2*y**3 - 22*y**2 + 3*y + 2. Let a(b) = 9*f(b) - 4*i(b). What is a(r) - 2*d(r)?\nAnswer: -2*r**3 + 2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -31.74745?\nAnswer: -12.69898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 - 338*s**2 + 43344*s - 127008 = 0.\nAnswer: 3, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.421285ns to milliseconds.\nAnswer: 0.000008421285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 132 = -81. Let j = 91 - l. What is the remainder when 16 is divided by (-1 + 3)\/(8\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5 - l - 5. Let p(c) be the third derivative of -1\/12*c**4 + 0*c + 0*c**3 + 0 + c**2. What is p(x(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4*m + 3. Let o be x(-2). Let j(g) = g**3 + 11*g**2 + 14*g + 10. List the prime factors of j(o).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.43? (a) -2 (b) 0.4 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, q: 1}. Give prob of picking 2 j and 1 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 14 = -4*u, 4*s - 16 = 3*u + 2. Let b be 414\/27 - 2\/s. What is the remainder when 99 is divided by (-2)\/b + 771\/45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/26 and 97\/787106?\nAnswer: 10232378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075215 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - (4 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -849 - -67. Let b = p + 789. Solve g + k = -0*k - b, 0 = -3*g + 3*k - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 76*a - 4*a - 3*a**2)*(-108*a**3 + 47*a**3 + 55*a**3).\nAnswer: 18*a**5 - 354*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*d + 402*d**2 - 73*d + 129*d in the form q + t*d + m*d**2 and give m.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/31)\/d*d*(d\/d**(2\/9))\/d*d)**(-1\/8) assuming d is positive.\nAnswer: d**(-199\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 8 = 0, 17*s = -f + 20*s - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 6*h**2 - 2. Let r be m(6). Does 3 divide (-6*r\/2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1372) + (-1 + 0 + sqrt(1372) - sqrt(1372)) + sqrt(1372))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 77. Let k be b(11). Suppose k = 4*q + 168 - 176. Solve t = -3*t - q*g + 10, 13 = 4*t + 5*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907429 divided by -4\nAnswer: 907429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 53*c - 7130. Let l be v(-115). Let y(u) be the third derivative of 0*u**4 - 1\/4*u**5 + 17*u**2 + 7*u**3 + l + 0*u. Differentiate y(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) - (-72 - 57399\/(-855))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 13 = -2*w, 3*w - 3*l = -5*l - 3. Suppose -h = -0*h - w, 3*s - 199 = 2*h. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(14\/2) - 4 - 5. Let i(a) = a + 18. What is i(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - ((23 - 22) + 14)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 4. Let x be z(-2). Let f(w) = -w - 6. Let l be f(x). Let y be -2 + ((-1)\/1 - 4). Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a*c**2*k + 41*a*c*k - 2*a*k - 4*a + 2*c**2*k - 15*c**2 + 2*c - 7*k wrt c.\nAnswer: -40*a*k + 4*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 132*f - 80. Let g be y(34). What is the second smallest value in g, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/23 (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let s(p) = p**2 + 3*p. Let z be s(q). Solve -x = -5*x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 + 435. Calculate the highest common divisor of f and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, 243, 964, 2087, 3612, 5539, 7868?\n\"Answer: 201*u**2 - 284*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 7*h**6\/6 + 5*h**2 - 4. What is the second derivative of i(a) wrt a?\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 98 = 2*a + 192, 0 = -a + 3*w - 157. Let x = a - -151. Let i(o) = o**2 - 4*o - 3. Let t(n) = n**3 - 3*n - 2. Give x*t(g) - 2*i(g).\nAnswer: 3*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*(-7)\/2*-1. Let s be (-1)\/(-2) - y\/14. Suppose s*z - 70 = -2*a - 0*a, -2*z = 5*a - 31. What is the remainder when 52 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 4. Suppose 21 = -3*r - 4*m, -3*r = 2*m + 25 - 10. Let n(y) = 8*y + 3. Let o(v) = -10*v - 4. Let h(i) = r*o(i) - 4*n(i). Calculate h(t(b)).\nAnswer: -4*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 380 + -32018?\nAnswer: -31528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/30 + 12\/(-18).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 0.4, 4, 3\/2 in descending order.\nAnswer: 4, 3\/2, 0.4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 14*j**2 + j + 30. Let i be t(-14). Let r(s) = -20*s - i*s + 34*s. Let p(u) = -8*u + 17*u + 9*u. What is p(r(k))?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:34 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187\/1255531 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -448, -664, -882, -1102?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 75, 2\/3, -21 in decreasing order.\nAnswer: 75, 2\/3, -21, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 3. Let q(d) = -d**2 - 4*d + 1. Let n be q(s). What is the remainder when 1602\/22 + n\/(-22) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from uqquqqququ?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-2072))\/(17\/(-4) + 4).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*20\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2*v - 3, -5*z = -3*z - 2015*v + 2017*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43373 + 43377. Let l(o) = -o**3 - 2*o**2 + 2*o + 2. Determine l(q).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:12 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1, -2\/15, -1, 0.2, 0.1269?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-340) - (-250056)\/51 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-28)\/952)\/(5\/((-40)\/(-4))))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099020332.\nAnswer: 2, 6841, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*x + 132*x + 180*x as a*x + g and give a.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 224 = 10*p. Suppose -16*y + p*y - 4464 = 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 is -737 (base 10) in base 3?\nAnswer: -1000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y**2 - 4*y + 3. List the prime factors of g(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -2)\/((-2)\/4). Suppose 20 = -0*f + 5*f. Is (-2 + 6)*v\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t + t. Suppose 2*x - 2*v + t = 0, -2*x + 24 = -0*x + 5*v. Let r = 3 - 1. What is the remainder when r is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 + 37*w**5\/60 + 31*w**4\/24 + 269*w**3\/6 - 4*w**2 - 840*w. Calculate j(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88 - -94) + (0 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 145*b**2 - 26*b + 160. Let x be y(-49). Which is bigger: x or 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-39)\/156)\/(4\/24))*(-4)\/(-84)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 380000000 = -4*b, 111898062 - 16898062 = b + 5*j. Round b to the nearest 1000000.\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let z(n) = 10*n**2 - 15*n - 8. Let m(f) = 51*f**2 - 75*f - 42. Let g(r) = 8*m(r) - 42*z(r). Give g(v(o)).\nAnswer: -12*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 + c - 5. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/13904 and 59\/82160.\nAnswer: 903760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*a - 61, -j + 12*a + 26 = 17*a. Let m = -13 + 6. Let h(i) = i + 8. Let g be h(m). Calculate the greatest common factor of j and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310590260 divided by -155295130\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*z - 90*z - 25*z**3 - 168*z - 152*z.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2704 - 1517*o**2 + 2704 - 2529*o**2 to n + s*o**2 + j*o and give s.\nAnswer: -4046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/6*3)\/(-2). What is the nearest to z in -17, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 13225*t**2 + 18863*t**2 - 10169*t**2 to z*t**2 + b*t + f + p*t**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*w**5 + 4*w**4 - 18391*w**3 + 34161532*w**2 wrt w?\nAnswer: -10320*w**2 + 96*w - 110346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383525 and 1324800.\nAnswer: 883641600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 3*d**2 - 2*d - 3*d**2 - 3*d. Let q(u) = -2*u**2 - 6*u. Determine -4*q(t) + 5*z(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 270, 267, 264?\n\"Answer: -3*o + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*o = 119*o. Factor 2\/7*m**5 + o*m + 0 + 2\/7*m**4 + 0*m**3 + 0*m**2.\nAnswer: 2*m**4*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -6*f - 2*y + 173, -25 = -6*y + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 1088428*z\/5 + 4353744\/5.\nAnswer: -2*(z - 544218)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1336 = -3*y + 1293, 0 = -15*c - 60 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = 4*s. Suppose 5*d + s*j = 51, -2*d - j = -d - 9. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.716 micrometers in meters?\nAnswer: 0.000096716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (54 + -43 + 17).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -85d6 (base 14) to base 8\nAnswer: -55120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61, 61, -1, -155, -431?\n\"Answer: -5*p**3 - p**2 + 38*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -420 (b) -404 (c) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/31 in -2, -0.5, 0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*f + 6*f - 10*f)*(31*f**3 + 7*f - 7*f) - 3*f**4 + 5*f**4 + 0*f**4 as g*f**4 + u + c*f + k*f**2 + a*f**3 and give g.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2687078\/25 - -107498. Is j < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 = 15*r - 4078. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t + 6*t**2 - 2*t**2 - 4*t + 2. Let b be m(3). Is 11 a factor of b\/(-12)*-2*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162635*-126.\nAnswer: -20492010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 549721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -3.95?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 10 + 9 - 17 + t**2 + 2*t**2 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4513.6 + -4514. Put 1.5, -1\/8, -2\/13, i in increasing order.\nAnswer: i, -2\/13, -1\/8, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(200) + -3 - (2 + 1 + sqrt(200) - sqrt(200))))**2.\nAnswer: 480*sqrt(2) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 2, m: 4, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:09 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 1085*d**2 + 4164*d**2 + 3256*d**2.\nAnswer: -3*d**3 + 6335*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-96)\/72)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2064 and 250190856?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 2*x**4 + 3*x**4 + (0*x**4 - 4*x**4 + 2*x**4)*(-2 + 5 - 2).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196 is divided by 1108.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 + 339*v**3 - 2*v**2 + 99*v - 246 wrt v?\nAnswer: 20*v**3 + 2034*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 13*o**2 + 15 + 0*o**4 + 0*o + 0*o**3 + 8\/5*o**5. Find the second derivative of c(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -199, -3\/2, 1, -4, -7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w - 19 + 19.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11165 + 5\nAnswer: -11160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33324.\nAnswer: 2, 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*c**2 + 85*c**2 + 153 + 2*c - 178*c**2.\nAnswer: -3*c**2 + 2*c + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 + 9*p - 7. Let m be i(8). Suppose 4*x - 3*j - 3 = m, -5*j + 1 = x. Let r(s) = 15*s - 1. Is r(x) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, -27, 5, -96, 10, -16, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -4, 3, -61 in decreasing order.\nAnswer: 3, 2, -4, -15, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32314402 (base 6) to base 5.\nAnswer: -221140004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1887798?\nAnswer: 7551192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 5. Suppose 3*v - 7*v = 24. Let o be y(v). Let l = 1 - o. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 8) + 6 - 1. What is the second biggest value in -0.23, -2\/5, p?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/3 + (-5)\/15. Let k be g\/27 - (-32)\/18. Determine r so that 3*r**2 + k*r**3 - 3*r**2 + 5*r**2 - 3*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 - 8*r + 5. Let y be 54\/(-10) + 3\/(-5). Is m(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022927433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*f + 10, -10*f = 4*y - 6*f. Solve y*g - 1 = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from {l: 7, h: 6, t: 1}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 4. Let x(o) = o**2. Let c(m) = -s(m) + x(m). Suppose -3*n = -5*n - 12. What is the units digit of c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -696447277 and -0.2.\nAnswer: -696447277.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.503406 and -0.09.\nAnswer: 0.04530654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5842)\/69 + 81)\/(5\/(-45))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/4080)\/((-23)\/16 - -2)*(145 - 135)?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d + 9. Let o be h(6). Let r = -40 - -44. What is the smallest common multiple of r and (-1)\/4 - o\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 + 4*a - 7. Let q(z) = -13*z. What is q(n(w))?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 51633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133 - -156 - (13 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-10 - (8 + -13))) + 8 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 3*y**2 + 3*y + 0*y. Let p(l) = -2*l. Calculate r(p(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - 18805?\nAnswer: -187d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -560*l - 8*l - 124 + 124 - 116*l in the form i*l + z and give i.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/(-481) + (-115533)\/(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/162 and (-42)\/(-147) - (-517)\/28.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2. Let d(s) = 1774*s**2. Give d(o(c)).\nAnswer: 44350*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {e: 1, y: 1, p: 2, r: 7, x: 4, o: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320401 + -404?\nAnswer: 314442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 7 = -3*z + k, 3*z - 2 - 10 = 2*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 87959088.\nAnswer: 87959088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*l)*(3*l - 2*l + 0*l) + 15*l**2 + 4*l**2 - 1 + 4*l**2.\nAnswer: 20*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(612) + 0)*1 + 3 + 3.\nAnswer: 7 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32785 and 19505?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 42*u**2 - 140*u - 96 = 0. Calculate u.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 4, -98584 in decreasing order.\nAnswer: 17, 4, -4, -98584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -8087?\nAnswer: 8089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*g + 4, 4*n - 6*n + 8 = 5*g. Let o be -9*(-2)\/n*4. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4787508.\nAnswer: 2, 3, 11, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 23 = 273. Let j = r + 269. Let p = 344 - j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*p - 4 = 2, -h = 5*p + 10. Is h >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 2*g**2. Let z be j(-2). Suppose 0 = -3*h - z*h. Do h and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/14)\/((-2848)\/(-44856))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u**2 - 10*u**2 + 16*u**2 - u**2 to a*u + s + i*u**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 18 - (2 - -1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 21 = 2*l. Let z(u) = -3 - l + 658887*u - 10 - 1. Let q be z(-9). Round q to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10963 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**(-20)\/(d**(1\/3)*d\/(d*(d*d**4)\/d*d)) assuming d is positive.\nAnswer: d**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = -4*c + 8*k + 23, 2*c - 19 = -3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (1 + -1*sqrt(75) + 2 - (sqrt(75) + -1 + 2*sqrt(75) + sqrt(75))*-2)**2.\nAnswer: 70*sqrt(3) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27848491, -27848494, -27848499, -27848506, -27848515?\n\"Answer: -z**2 - 27848490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 = v, 8*n - 9*n - 2*v + 14 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -46, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 315 = -4*m, -525 = 2*i - 7*i - m. Suppose 0 = -4*k + 8. Suppose k*b - i = -33. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 82*n**2 + 25*n + 83. Let o be p(-16). Suppose 16*d - o = -9*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 17 + 25 = 0. Solve -w = -2*f + 2*y, 4*f = -0*f + 5*y + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -887 + 910 - (-2 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 59*n**2 + 29*n + 3. Calculate b(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -7b?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3 (b) 17 (c) -0.4 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(19) - sqrt(57)\/sqrt(3)))**2 + -1 - (-6*(1 + sqrt(1216)) + 5).\nAnswer: 54 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 1743.671.\nAnswer: 69.74684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Suppose -5*j = 2*g - 167 - 12, 5*g = -b*j + 425. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y**2 + 0*y**2 + 13*y**2 - 2)*(0 - y**2 - y**2 - 2) as g*y**3 + u*y**4 + n + a*y + z*y**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*x + 146*x + 148*x)*(5 - 3 + 0).\nAnswer: 370*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - ((-11 - 1) + 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - 4*l**3 + 2*l**3 + 0*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9492382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -142\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 11. Suppose -8*g + 24 = -4*g. Let m be o(g). Let t(y) = -9*y**2 + 7*y + 6. Let q(f) = 5*f**2 - 4*f - 3. Give m*q(z) + 3*t(z).\nAnswer: -2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 13*q - 12*q - 1, 2*n - q = 11. Solve -i + 10 = 4*x, n*x + 9*i - 18 = 4*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/336 + v**7\/42 - v**6\/60 - 7*v**5\/30 + v**4\/8 + 3*v**3\/2 + 8*v**2. Factor n(l).\nAnswer: -(l - 3)**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/396*(-270)\/12 - (9\/(-3) - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2663314820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 32, 51, 70, 89?\n\"Answer: 19*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x - 10*x - 14*x**2 + (-2*x + 2*x + x)*(0 + 2*x + 0) + 2*x**2 + 2*x**2 - 2*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 13728.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 8. Let t = -19457\/7 - -2780. Let w = -0.28 + 0.26. Which is the fourth biggest value? (a) w (b) -2\/7 (c) n (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 97*p**3 + 4*p**3 + 129*p**3.\nAnswer: 231*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316382 and 51538.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 775 - 2140\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2905 + 6779. Suppose -2*l + 1018 - a = 0. List the prime factors of l\/(-20) - 12\/30.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**8\/120960 + x**7\/30240 + x**6\/2160 + x**5\/20 + 4*x**2. Let o(c) be the third derivative of n(c). Factor o(l).\nAnswer: -(l - 2)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 49*h + 96.\nAnswer: (h + 2)*(h + 96)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 318, 331?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0 (c) 0.4 (d) 0.1 (e) -0.018 (f) 6.2501 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 2*r - 25, -3*r - 3*p + 42 = 0. What is the third derivative of -7*k**2 - 7*k**5 + 4*k**5 + r*k**2 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1*(sqrt(288) - (sqrt(288) + -2 + sqrt(288) - sqrt(288))))**2*-2*4*2 + -4.\nAnswer: -4676 - 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s - 12. Suppose -s = 3*j - 33. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/5 + 254*s**3\/5 - 8*s**2\/5 - 1016*s\/5 = 0.\nAnswer: -127, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from mmfmmffmmmmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 23, 212.\nAnswer: -1.4, 23, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfoohhqooff. What is prob of sequence on?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxqwjqi. What is prob of picking 1 w and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1053) + sqrt(1053) - sqrt(1053))*-4.\nAnswer: -36*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(1872).\nAnswer: -3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.059, 0.5?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22088.8 - -22088.72. Let w = 0.5 - 0. Put w, j, -4, -12 in decreasing order.\nAnswer: w, j, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1053) + 1 + 1 - (3 + (sqrt(208) + 0)**2*-1).\nAnswer: 9*sqrt(13) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrk when four letters picked without replacement from {b: 1, k: 1, o: 2, r: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 15 = 3*m + 4*w, 2*m - 4*w = 10. What is the tens digit of 12 - -4*m\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7525 (base 14) to base 11.\nAnswer: 14213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 4*p**3 - 4*p**3 + 7*p**3 + 0*p**3 - 2 + 0*p**3 - 4*p**2. Suppose -g + 8 = -2*r, 5*g - 8 = g. Determine j(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by 304.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 2*n**5\/75 + n**4\/5 - 16*n**3\/45 - 32*n**2\/5 - 256*n\/15 - 2427. Solve k(z) = 0.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 - 2*v**2 + 6*v + 2. Let c(y) = 21*y**3 + 11*y**2 - 30*y - 11. Calculate -2*c(b) - 11*w(b).\nAnswer: 2*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/9))**(-2\/85))**(1\/42)\/((q**0)**(-2\/13))**(3\/4) assuming q is positive.\nAnswer: q**(1\/16065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107.7 + 10.7. Let j = -96.17 - h. Let n = -2.33 + j. Put 0.1, n, -2\/9 in increasing order.\nAnswer: n, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 5377262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*sqrt(2299)*-2 - (5 + -4*sqrt(684) + sqrt(684)))**2.\nAnswer: -2137625 + 7500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*n = 1607 - 9745 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - q + 5)*(-1 + 1 - 2*q) + 13*q - 13*q + 7*q**2)*(-2 - 233*q**3 + 150*q**3 + 121*q**3).\nAnswer: 342*q**5 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28 times 5?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p = -40*p + 18. Solve 2*o = p*f + 11, 4*f - 2*f - 5*o = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -181.76 and -209576837.\nAnswer: -209577018.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 - 13*d - 7. Let h(r) = 11*r**2 - 27*r - 16. Calculate -2*h(u) + 5*x(u).\nAnswer: 3*u**2 - 11*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -105*d**4 - 2*d**3\/3 - 1899*d**2\/2 + 838. What is the second derivative of o(l) wrt l?\nAnswer: -2520*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 18\/16 - (-6)\/208. Which is the closest to 1.1? (a) i (b) 3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/((-28)\/24))\/2. Suppose 3*a + g*p + 9 = 0, 2*a - 5*p + 0*p = 29. Suppose 1 = a*c - 3. Solve c*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzvjzvvvjzvzvvvpvvj. Give prob of sequence zvpv.\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*l + 6*o + 243, 0 = -o + 3. Let n be 8\/l + 62755\/147. What is the greatest common factor of n and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -108. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64211 is divided by 5310?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17526 = -2*x - 5*q, -x + q = -2*x + 8763. Suppose -8*r + 445 = -x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 733 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/170*(-28)\/21\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222121332 (base 4) in base 15?\nAnswer: 366e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x + 12920 - 25983 + 13063.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215\/9 + -24. Let x = 463 - 463.0622. Let a = x + -0.0378. What is the nearest to 0 in 7, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*q - 74*q - 22 = 0. Which is smaller: q or 14\/55?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 0.9 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 11*s - 8. Let x be -13 + (-8)\/2*-1. Let c be m(x). Solve 2*w + c = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 27\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411060282.\nAnswer: 2, 3, 68510047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/3 - 62*p\/3 = 0.\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3817.959.\nAnswer: -3817.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/15 - (-6)\/15. Suppose 0 + 5 = x. Let n = -0.7 - -0.2. What is the nearest to i in 4, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 1528.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16229*-3.\nAnswer: -48687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/54 and 4\/(-12) - 324\/240.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 16. Suppose 4*g = 4*o + i, 5*g - 3*g + 2 = -4*o. Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/50)\/((-1)\/10). Let u = -189 - -399. Suppose i*b + u = 6*b. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s - 3. Let w be s - -7*(-2 + 3). Suppose d + 340 = w*y - 2*d, 5*d = -5*y + 380. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -317693517269.\nAnswer: 317693517268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b - 14. Calculate q(-7).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*b**2 - 9 + 9\/4*b**3 - 12*b.\nAnswer: 3*(b - 2)*(b + 3)*(3*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23153?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -4574.4.\nAnswer: -4573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 25*k**2\/2 + 3*k + 18. What is the tens digit of i(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5160)\/3010)\/(2*(-9)\/(-24))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11131055.\nAnswer: 5, 13, 19, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (318\/(-954))\/((-4)\/1968*-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-244)\/10*(9\/2 - 1). Suppose -105 + 530 = -5*z - 3*i, -4*z + 3*i - 340 = 0. Let u = z - m. What is the closest to 0 in 0.5, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -6. Let y be (-80270)\/(-1610) + (-6)\/7. What is the greatest common factor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -638, -1275, -1912, -2549, -3186?\n\"Answer: -637*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366389, 366388, 366387, 366386, 366385, 366384?\nAnswer: 366383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -243272+-3559995\nAnswer: -3803267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.067 - -25.933. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 13. Let t(m) = -u + 11*m + 2 + 0 + 64064*m**2. Let y be t(-8). Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93353147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87718841.30000304 + 87718835. Let r = 6.3 + u. What is r rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 45. Let a be (16\/(-10))\/(6\/n). List the prime factors of 85 - (2 + 0 + a).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99937, -199874, -299813, -399754?\nAnswer: -499697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/304 and -47\/305?\nAnswer: 92720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/286 and 5\/41093.\nAnswer: 904046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -a6117b?\nAnswer: -a61189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -88 (b) -1.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*z + 313*z - 156*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.8. Let j be (122\/(-3) - (-21)\/63) + 4. Let d = j + 107\/3. Which is the closest to d? (a) x (b) -3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -10 + 17 - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2594*-68394.\nAnswer: -17741.4036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101, -98, -91, -80, -65, -46?\n\"Answer: 2*g**2 - 3*g - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89598466 rounded to 4 dps?\nAnswer: 0.896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 = -3*m + 9*a, a - 32 = -m. Solve m*j - 23*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515, -1466, -1319, -1026, -539, 190, 1209, 2566?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-183)\/(-488))\/((-2646)\/26208)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426 > 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/10300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunuuuuunuu. Give prob of sequence nu.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5333 + 12739 = 1393*s - 26026 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/43 + -3\/172. Which is the nearest to 0.017? (a) -5 (b) -3 (c) s (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*r + 33, 3*r - 11 = 4*r + 5*s. Let w = 38 + r. Suppose -4*j + 69 + w = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v - 184. Let p(o) = -2*o + 44. Give 9*p(f) + 2*z(f).\nAnswer: 12*f + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 98940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*v - 5*o, v + 60*o + 12 = 58*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -533, -1070, -1607, -2144, -2681, -3218?\n\"Answer: -537*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 6442643*n\/4 - 6442645\/2.\nAnswer: (n - 2)*(n + 6442645)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/15 + -12 + (-138)\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4644 and -41\/35604?\nAnswer: 106812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 1772*v**2 - 3528*v = 0.\nAnswer: 0, 2, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-8)\/(-2)) + 6. Suppose 6*i + 27 = 51. What is the greatest common divisor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45419 and 616?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564 by -6.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p + 11. Suppose -20 = 2*h + 4*n, -42*n = 3*h - 40*n + 14. Give t(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) -2\/3 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (27 - 3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 - -235. Solve 0 = -2*l + y + 3, -y + n = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 + 342036392*x\/15 + 14623611681547208\/15.\nAnswer: 2*(x + 85509098)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15411*s = 15416*s - 25, 8*u + 3*s = 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 777.28 + -526.4. Let i = -251 + j. What is the nearest to i in -2\/9, -0.3, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*x**3 + 11042*f**2*x**2 + f*x**3 + 13*f*x**2 + 21 wrt f?\nAnswer: -2*x**3 + 22084*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 65145 = -4*w - 39319, 0 = -3*v - 3*w + 52212. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 17*c**2 - 26*c + 25. What is y(-18)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10024, 31, 3 in decreasing order.\nAnswer: 10024, 31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 429800 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58918697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 minus 10566.69?\nAnswer: -10566.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.094 + 0.906. Suppose -8 - 2 = -5*y. Let j = y - 2. Sort j, a, 4 in ascending order.\nAnswer: j, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:02 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/17)\/u)\/u**(3\/7))\/(((u*u*u\/u**0)\/u)\/u)**(-29))\/(u**(-3)*u\/u**0*(u**(-1)*u)**(1\/14)) assuming u is positive.\nAnswer: u**(3624\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - h = -6*h, 0 = -u + 3*h. Solve u*d + 12 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from azzzazzzhzar.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1216947 from 23370.\nAnswer: 1240317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((900\/(-130))\/(-3))\/(32\/208)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqfzmeemyqmme. What is prob of picking 1 y and 3 m?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/1793 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16240828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0) + (-1 - 81). Let v = 84 + i. Solve 17 = v*q - b, -q - 4*q = -5*b - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6341?\nAnswer: 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14864 and 8609972?\nAnswer: 34439888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -5.6 (b) -732 (c) -3 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/2)\/((-84)\/154). Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687728 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 8289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 39763.224 to the nearest ten.\nAnswer: 39760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276106 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 390 - 267. Suppose -497 = -2*q - d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3500 and -97\/9100.\nAnswer: 45500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphi when four letters picked without replacement from {h: 7, i: 2, p: 7}?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573679.\nAnswer: 573679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a + 6*a - 19*a. Let f = 1 - -1. Let u(w) = 21*w. Let i(d) = f*u(d) - 11*h(d). Let o(z) = -24*z. What is i(o(m))?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 116*t + 950. Calculate the remainder when 563 is divided by r(-19).\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10724.137 + 10730. Let x = y + -5.9. What is x rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/5)\/(3\/15). Suppose -1 = q*f - 10. Let j(v) = 2 + 8*v - 4 + 0*v**2 + v**3 - f*v**2 - 4*v**2. Determine j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3094 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 182954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 30. Suppose 5*v + 3*l = -519, 5*v + l = -275 - 248. Let k = v - -130. Is w(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqte when four letters picked without replacement from axeqwetw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 - -101. Let g = -57 - b. Solve g*p - 2*m + 23 = -2*p, -5*m = 2*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + 2*sqrt(2) + -4)*-1)**2.\nAnswer: -33 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172011504 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12056*a + 3127. Is q(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4402 - -6722. Suppose -i = i - z. Round i to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 1, z: 1, v: 3}. What is prob of sequence zvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 159*g**4\/2 - g**3 - 3*g**2 - 5*g + 31. Let s be u(-5). Round s to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g + 6. Suppose 0 = 3*c + 4*s - 175, -5*s = g*c + 64 - 183. Suppose c = b + 16. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(-2 + (2*sqrt(112)*3)\/(sqrt(144)*-2 - sqrt(4))))**2.\nAnswer: 1728*sqrt(7)\/13 + 59779\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 16. Suppose -m - f*k = -11, -1 + 0 = m - 2*k. Calculate the greatest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10238844 and 166404?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 64535 + 193577 - 64531 - 64511.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22454996*p**2*u + 2161667*u + 1 wrt p?\nAnswer: 44909992*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/14*1005\/(-1809)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 + 1 - 8\/(5 + -4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 414915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*20\/(-12) + 168740\/6 + -3?\nAnswer: 2, 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296687367 or 0?\nAnswer: -296687367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 902*o**2\/3 + 137120*o\/3 + 2432\/3 = 0. What is o?\nAnswer: -152, -8\/451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -19. Let b = q + 3. Solve 0 = -b*u + 4, 3*y = 2*u - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b. Let o be l(1). What is the units digit of -1*1\/2*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186 + 65*d - 186 - 366*d**3 - 3*d**2 - 176*d wrt d.\nAnswer: -2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 1022?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 1, -323\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-156)\/72 + 2)\/(-2 - 64\/(-24)). Do -2.7291 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**6 - 27*a**2 + 13*a**3 - 5*a**3 - 9*a**6 - 3*a**3 - 2*a wrt a.\nAnswer: -480*a**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*((sqrt(192) + (-1 + sqrt(192) - sqrt(192)) + sqrt(192))**2*-6 - ((-1 + sqrt(192))*-5 - sqrt(192))).\nAnswer: -720*sqrt(3) + 13861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.9026t to milligrams.\nAnswer: 433902600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 2, 0.2, 245045\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (31 - 64 - -50)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -15*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 3. Let z(i) = -i - 1. Let c(k) = q(k) - 3*z(k). Let h(y) = -2*y**2. Give c(h(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*c = 2014, -2*o - 1257 = -5*c - 238. Let f = o - -246. Let a = f + 400. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3206)\/12222 - ((-114)\/(-27) - 4) and 59\/4.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 105451*k - 105451*k.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339\/17 or 3?\nAnswer: -339\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + 7. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1674*k**4 - 488*k wrt k?\nAnswer: 20088*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f - 58. Let p be v(10). Suppose 4*k**3 - 3*k**2 + 15*k**p - 13*k**5 - 12*k**4 + 32*k**5 - 10*k**5 - 13*k**5 = 0. Calculate k.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20*2\/12*(0 + (-10260)\/25) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23281*m + 2*m**3 - 926*m**2 + 23281*m - 4*m**3 to h*m**2 + i*m + k + r*m**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3045, 3042, 3039, 3036, 3033, 3030?\n\"Answer: -3*l + 3048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*v - 5, -2*v + q = -7*v + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -82. Let l = 32 + k. What is the biggest value in l, -2, -3\/5, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 288, 398, 572?\n\"Answer: 32*y**2 - 50*y + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -666*n**6 - 23*n**2 - 6 wrt n?\nAnswer: -79920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxoxcoxxcxixkkcxocco. Give prob of picking 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -142 + -2?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -925925837*x**5 + 1105477*x**2 - 181.\nAnswer: -55555550220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9253.7 - 9254. Let k = -17 + 15. What is the nearest to r in 3\/4, 13, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 2*u - 2*u**2 - 18 + 13. Let r be j(-4). Suppose 5*w = -3*z + 9*w + 25, 13 = r*z - w. What is the highest common factor of 24 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 3*k**2 - 8*k**2 + (-2*k - 2*k + 3*k)*(3*k - 4*k + 2*k) in the form f*k**2 + p*k + c and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4740*j + 50271 = -205689 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 16. Let s be b(-4). Calculate the smallest common multiple of 3 and -3 - -10*34\/s.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o - 10 = 0. Let h = -24 - -34. Factor -h*p**2 - 4*p - 8*p**3 - o*p**4 + 0*p + 0*p.\nAnswer: -2*p*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = d - 4*d, 5*k = -3*d - 25. Let g be d + -3 + (7 - 4). Let z be 0\/(4 + (g - 3)). Solve -5*i + 4*l = -0*l - 8, z = 2*i - 2*l - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-9) + (-15)\/(-3). Suppose 2*v + 3*x + 2*x = 65, 26 = v - i*x. Suppose -2*p + 5*h = -249 - v, -p + 145 = 3*h. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120142, 120140, 120138, 120136, 120134, 120132?\n\"Answer: -2*a + 120144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8227, 15398, 22569?\nAnswer: 29740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*w + w + w)*(9*w + 5*w + w) + (-2*w + 3*w - 2*w)*(6*w - 2*w - 3*w))*(0 + 2 + 3) as a*w**2 + p*w + c and give a.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqiiiniiqiii. What is prob of sequence nq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2 - 3*l - 25. Suppose -172*t - 56 = -180*t. Let j(k) = 6*k**2 - 2*k - 13. Calculate t*j(b) - 4*r(b).\nAnswer: -2*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*r - 13*r + 17*z - 53, r = z - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-4)*d)\/d*d)**2*(d**(2\/5))**13 assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9474 + 9567. Let n be -2 + 12 + (-3 - -6). Let y = n - -34. What is the remainder when x is divided by y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 212167 + -73?\nAnswer: 212094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/(-1419) - (-37768)\/264. Is z > 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15)\/(90\/135).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65631*o - 65826?\nAnswer: 65631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1855, 14912, 50395, 119536, 233567?\nAnswer: 403720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**3 + 2*t**2 + 7*t + 7. Suppose -4*a + 2*b + 20 = -2, 0 = -4*a + 5*b + 25. Let d(c) = -4*c**3 - c**2 - 5*c - 5. Determine a*z(j) + 7*d(j).\nAnswer: 2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 15*q**2 + 13*q + 16. What is the remainder when 417 is divided by g(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218788*w + 48158 = -219186*w for w.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -29659.9?\nAnswer: -8897.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/(-7) - -3)*(-4018)\/3444. Find v, given that 22\/3*v**t + 34\/3*v + 4 = 0.\nAnswer: -1, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 215, -1074, -3225, -6238, -10113, -14850?\n\"Answer: -431*u**2 + 4*u + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 + 0*z**2 + 5*z**2 + 16*z - 2 - 36*z - 2*z**2 + 22*z + 4*z**4 in the form i + c*z**2 + x*z**3 + s*z**4 + h*z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 8*g + 8. Let m be l(-7). Let n = 3 + m. Let i be n*(-1 + 5 + 0 + -3). Solve 5*a + 0*a = -4*o + i, 3*o + a - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12261\/4 or -3064?\nAnswer: -12261\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 4*z + 2*z - 22*z - 9*z + 6*z + 0*z - 2*z + z + (3*z + 3*z - 4*z)*(-1 + 0 - 1) - 2*z - z + 2*z to m + p*z and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksfhhffsh. Give prob of sequence fsfs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*7\/8*-4 + (-153)\/(-2). Solve 90*k - 100*k - p = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - 139. Suppose -t*c - 309 = -17*c. List the prime factors of c.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2369156*w**2 - 5072*w - 8871 wrt w?\nAnswer: -4738312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1101842 - 4?\nAnswer: -1101846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7169951 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-16))\/(9\/(-144)*14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149764227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3058, -6, -20 in decreasing order.\nAnswer: -6, -20, -3058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109704 and 61251400?\nAnswer: 183754200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 705 - 1137. Let g = 576 + s. What is the greatest common factor of g and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4678 + -4667. Sort -3, -5, m.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and 0.8.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 7955?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 13*x + 4. Give j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -227*s**6\/120 - s**5\/60 - s**4\/24 - s**3\/6 + 2*s**2 - 17*s. Let o(z) be the first derivative of w(z). Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3928)\/(-2)*(24669\/36 - -3). Suppose 0 = -5*a + 2*j - 5104990, 0 = 3*a + 3*j + 4414738 - c. Round a to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, -0.49, -655 in ascending order.\nAnswer: -655, -3, -0.49, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189353 or -188953?\nAnswer: -189353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*x**4 - 13*x**3 + 59091*x + 6575087.\nAnswer: 40*x**3 - 39*x**2 + 59091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(2736))**2*4*-6.\nAnswer: 6912*sqrt(19) + 394560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:43 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2\/17, 0.1, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -569, -1895, -4459, -8669, -14933, -23659?\nAnswer: -35255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-561 + 47*b**2 + 561)*(-13 + 6 + 2)*(3*b**2 + 4*b**2 - b**2).\nAnswer: -1410*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let k(m) be the first derivative of m**2\/2 + 842*m - 775. Calculate k(z(t)).\nAnswer: 2*t + 842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6733174 divided by -6733174.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:01 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/3, 0.2, 0.5, -44\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b + 10*b + 15*b + 23*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 25. Let x = i + -3. Suppose -x*h - 12 = -4*u, -2*h = -4*u - 3*h + 6. Solve -u*d = -3*f - 4, 5*f + 5*d + 55 - 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 - 15 = -v, 0 = -2*v - 4*a. Suppose -5 = -5*x + 5. Suppose -z = 4*p - 5*p + 8, -2*p - x*z = 0. What is the remainder when p is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - d - 2. Let m(r) = -4*r**2 - r - 4. Calculate -3*m(b) + 7*p(b).\nAnswer: -2*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 - (2 + -12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.67 + -2.67. Put -1\/3, -0.3, w, 0.4 in decreasing order.\nAnswer: w, 0.4, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1163*k - 188407. Let j be d(-162). Let h = -27.63 + 25.6. Let x = 0.03 + h. Which is the closest to j? (a) 4 (b) x (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21559149*b**3*q*y + b**2*q + b**2*y + 182*b*y + 3189*q + 2*y wrt b.\nAnswer: 129354894*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 85 + 5*z + (2 - 1 + 3 + (-3 - 1 + 3)*(-3 + 6 - 4))*(181*z - 27*z + 102*z))*(4 - 1 - 4).\nAnswer: -1285*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*49.892.\nAnswer: 124.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + 0) + sqrt(1573) + 1 + 0 + sqrt(832))**2.\nAnswer: 170*sqrt(13) + 93926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 11*h**2 - 13*h - 12. Let v be j(13). Suppose -v = y - 3*q, 2*y + 269 = -3*q - 18. Is y less than or equal to -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 + 5312*p**2 + 5219764*p + 56769328 = 0. What is p?\nAnswer: -649, -11, 1988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 7. What are the prime factors of (-1)\/s - (-51)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 4*s + 11*h - 144, 126 = 4*h + 70 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1055a7 (base 12) to base 8\nAnswer: -770417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421.58 - 1.39?\nAnswer: 1420.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68268 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 13, -1, -235, -15 in ascending order.\nAnswer: -235, -15, -3, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -25*g**2 + 17*g - 81. Let m(x) = 8*x**2 - 6*x + 27. Let s(n) = -17*m(n) - 6*u(n). Find the first derivative of s(i) wrt i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18744226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, v: 4, e: 1}. Give prob of sequence vv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -156 - 73. What is the common denominator of 1\/(-4) + a\/12 and 1886\/(-84) - (-2)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 201*s - 252*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/125186296 and -10\/172131157?\nAnswer: 1377049256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -5, -1, 3, -191, 49 in descending order.\nAnswer: 49, 3, -1, -5, -82, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -1685710.\nAnswer: -117999.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83053.\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 24 = -i. Suppose 2*f = 2*k - 3*f - 290, -6 = i*f. What are the prime factors of (k\/(-6))\/(6\/(-9))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 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: -10148 divided by -4\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27496.\nAnswer: 2, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z + 11*z)*(1 - 1 - 2*z**2).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 970\/27 - 61\/27. Let d = f - 100\/3. Factor -d*c**2 + 0 + 1\/3*c.\nAnswer: -c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 1067025?\nAnswer: 11737275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 10*f - 9. Let n be r(-9). Sort -4, n, 1.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.056, 4, 0.2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseorin. Give prob of picking 1 n and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4720.7 + -4910.87. Let u = i + 192. Let o = -0.13 + u. Round o to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/10 + 20633*y\/5 - 425720689\/10 = 0.\nAnswer: 20633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*f**2 - 266*f**2 + 420*f**2.\nAnswer: 449*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*k - 2312*c**3 - 192*c**2 - 11*c + 2*k - 1 wrt c.\nAnswer: 24*c*k - 13872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5272540 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -84 + (98 + -32 - 70)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by (-5)\/(8\/(-376)*5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = -4*g - 49, 5*g = n + 61. Let a = n + 26. Let j = a - -13. Solve -15 = 3*f, 8 = j*i - 4*f - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**(4\/3))**9)**(1\/12) assuming g is positive.\nAnswer: g**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*a + 669 = 0, -30 = 4*g + 3*a - 918. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16 = 5*a - 2*l, 12 = -3*a - 3*l. Suppose 0 = 3*n + 5*s - 16, 4*n + s = -a*s - 7. Put -4, 2, n in descending order.\nAnswer: 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 7. Let i(y) = -2*y**2 + 5*y + 3. Let o be i(4). Let k = 11 - o. Suppose 0 = -l + 5*m + k, -4*l - 3*m = -3 - 8. Give d(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 3. Let z = -1 + -3. Let f be i(z). Suppose p + 6 = 3*x, 0 = -f*p - 3*x + 8*x. Solve y + p = 3*s, 2*s = 3*y - 3 - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 69*r. Let y(n) = 79566*n. What is y(d(s))?\nAnswer: 5490054*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 678 - 686 - (-1 + -29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 173075024\/(-6). Suppose 0 = 2*a - i - 6933702. Let w = a + -40789770. What is w rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**4 + 1\/20*n**5 + n + 0*n**2 + 0 + 2\/3*n**3. What is the units digit of r(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*s - 3*s - s - 142467 + 142483, 4*x - 11*s + 67 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 2*s - 60 = -0*s - s, s + 2*s = -7*w + 41 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(1 - x - 1) - 3*x + x + x + x - 3*x + x + (0 + 0 + x)*(3 - 4 + 3).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 18*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*d**2*g*q - 174*d**2*q - 242*d**2 - d*g - 23*d*q - 186*g*q + 14*g + 1 with respect to g.\nAnswer: 131*d**2*q - d - 186*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*h + 5 + 5, 3*h - 3 = -3*w. Let q(a) = 2*a - 6. Let l be q(5). Sort 0, l, w in descending order.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/40 + 21\/15. Solve -2*c + u = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433*-2.\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3))**(11\/8)*x**16*x**(-2) assuming x is positive.\nAnswer: x**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*f - 94*d**2 - 47*d*f - 19*d - 41*f wrt f?\nAnswer: 2*d**2 - 47*d - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 27*l - 2. Let j(x) = -18*x + 1. Calculate 5*d(o) + 8*j(o).\nAnswer: -9*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i - 2. Suppose 0 = -i*y - b, 3*y + 4*b + 1 = -4. Sort -5, -2, y.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*s + 150 = 0, -5*x + 115 = -0*s + 4*s. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 9. Let g(c) = c**3 + 8*c**2 + 5*c - 6. Let h be g(-7). Is 15 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2 + i**2 - 6*i**2 + 1 - i**3. Let h be s(-5). Solve -h = -f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 53\/4. Sort -3, b, -3\/2 in descending order.\nAnswer: b, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149*n**3*t - 2*n**3 + 103*n**2 wrt t.\nAnswer: -149*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14490713.\nAnswer: 23, 89, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 291?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 10486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -13*p**2\/2 - 15. Let w(y) be the second derivative of -5*y**3\/6 + 4*y. Determine w(d(g)).\nAnswer: 65*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (11 + -10 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (913 - 1024 - (1 - 0 - 11)) - -12\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 4*s - 3*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/30)\/((-203)\/1015). Let m(u) be the first derivative of 17 - 4\/9*u**3 + g*u**4 + 0*u**5 + 4\/3*u - 1\/9*u**6 - u**2. Determine k so that m(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.7 (b) -1 (c) -1\/8 (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Suppose -17 = z + 3*l, -3*z + 2*l + 8 = u. Put 2, z, -3 in descending order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -630 + 627. Which is the fourth smallest value? (a) r (b) -1 (c) 2\/5 (d) -2\/5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2351792482.\nAnswer: 2, 13, 313, 288989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -6423788?\nAnswer: -6423788.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let y(l) = -6*l**2 + 20*l + 6. Let o(f) = 6*v(f) - y(f). What is the second derivative of o(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68064?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3\/6 - 6*a + 2. Let w(r) be the first derivative of z(r). Let o = -2 - -1. Let s(i) = -i - 1. What is o*w(q) - s(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6257 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**2 - 9*g + 4. Let w(u) = 2*u - 4. Let s be w(6). Is d(s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*p + 1 + 3*p**3 + 11*p - 2*p**2 + 13*p)*(62*p + 67*p - 806*p) in the form x*p**2 + r*p**3 + f + y*p + h*p**4 and give x.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34073 + -204433\/6. Factor 1\/3*q**2 - h*q + 1\/6*q**3 - 1.\nAnswer: (q - 2)*(q + 1)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2*((-91)\/13)\/49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11457159 (c) -5 (d) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(-4*q + 4*q - 3*q)*(2 + q - 4*q + 2) + 2*q**3 + q**3 - 4*q**3.\nAnswer: 17*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 622949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - x + 5*x**2 + 0*x**3 - x - 5 + x**3. Let c be (-2)\/(-4) + (-147)\/(-14). Suppose 0 = 4*k - r + 25, -2*k - c = -0*k + r. Calculate a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3041611.616 to the nearest ten thousand.\nAnswer: 3040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 - v + 11. Let z be k(8). Let s be 1\/z + (-24)\/(-9). Suppose 421 = 5*j - 3*j + 5*p, s*j - 664 = -p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhl when three letters picked without replacement from eehhlellhehe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 362 + -364.71. Let s = 147.523157 + -150.233. Let q = n - s. Round q to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16604694969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1572138 by -1.\nAnswer: -1572138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:15 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 + 5*i + 8. Let m be y(0). Calculate the greatest common factor of 596 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 - 28*m + 25. Let b be g(-7). Suppose 1003 = 8*l + b. What is the highest common divisor of l and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6898 = 9632. Let d = -4182 + g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7881524 divided by 791\nAnswer: -9964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/28*2 - 1989\/1428?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32620 - -64?\nAnswer: -32523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbuwdbwwwudbwhubw. Give prob of sequence duuu.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 2 - -1)\/((-380)\/38). What is the closest to 0.1 in 0.1, b, 2, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3813 = 264. Is o a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 998\nAnswer: -2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let v(k) = k**3 + 11*k**2 + 11*k + 22. Let q be v(-10). Solve -4*j - 24 = j - 2*x, 2*x = z*j + q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 19. Suppose 3*r - 12 = -4*x + x, x = r - 6. Suppose -4*n - r*j = -j - 52, 12 = -4*j. Calculate the remainder when n is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 - -8.16. Let l = -8.5 + i. Let r = -132.7 - -132. Which is the third smallest value? (a) l (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2653861, -2653841, -2653821, -2653801, -2653781?\n\"Answer: 20*f - 2653881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104555976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 4236*f - 42053. Calculate n(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*y + 1104 = -215*y + 8431 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 1}. Give prob of picking 3 h and 1 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 736734 divided by -6?\nAnswer: -122789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000314757049 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-16)\/24*-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(1815\/(-70))*127\/((-52451)\/354).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 - 2*x - 4. Let p(f) = -4*f**2 - 4*f - 6. Let w(a) = a**2 - a - 1. Let i(t) = p(t) - 3*w(t). Calculate -5*g(r) + 6*i(r).\nAnswer: -7*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192) - (-1 + (sqrt(192) - sqrt(192)*1 - sqrt(192)) + sqrt(192))**2 - 3*-1*sqrt(192))*-4 + -4.\nAnswer: -128*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -15, 28, 99, 204?\n\"Answer: b**3 + 5*b**2 - b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*f + 0*f = -2, 22 = -4*s - 3*f. Let v(z) = -56*z**2 - z - 11. Let w be v(s). Let t = -623 - w. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*6*7\/(-168))\/((-3)\/84).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 32*w**2 - 60*w - 13. Determine b(30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let x(s) = 6*s**2 + 6*s + 185. Let k(h) = 5*h**2 + 5*h + 184. Let l(v) = 5*k(v) - 4*x(v). Let c be l(0). Calculate the greatest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 48*l**2 - 667*l - 70. Determine q(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3624)\/755*15\/(-84)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 5, x: 1, h: 1, f: 1}. What is prob of picking 1 i and 1 h?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6482.00004689 + 6482. Round w to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 10. Let j = 25 - p. Solve k = -5*f - 18, 5*f - 2*k + j = 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565980.\nAnswer: 2, 3, 5, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772086565?\nAnswer: 5, 19, 8127227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*n + 4720 - 7167 = 54274 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885660 divided by -4.\nAnswer: -221415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35394, 35457, 35582, 35793, 36114, 36569, 37182, 37977?\n\"Answer: 4*l**3 + 7*l**2 + 14*l + 35369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*d - 374*d - 381*d + 54 = -2*f, 0 = -2*f - 6 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u**3 + 1 + (u + 0*u - 4*u)*(-u**2 + 3*u**2 - u**2) + 3*u**3 + 3*u**3 - 7*u**3)*(-3 - 164 + 34)*(-4 + 4 - u).\nAnswer: -399*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823 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: Calculate -1.1 - 13540.\nAnswer: -13541.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151691800 = 8*k + 42*k - 9*k. What is k rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-793*i - 759*i - 841*i)*(-i**3 + i**3 + 2*i**4).\nAnswer: -4786*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.02 + 0.12. Let m = j + 1.7. Sort -2, m, 24.\nAnswer: -2, m, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2044540 (base 6) to base 11\nAnswer: 68893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.12966 to two dps.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3 - 6*o**3 + 4 - 4*o + 5*o**3 + o - 6*o**2. Give z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -117 + (-2 - 4 - -8 - 2 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(-41)*s**(2\/3)*s\/(s*s*s\/s**(-5\/6)) assuming s is positive.\nAnswer: s**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3.97 - -13\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -1218, -1837, -2456?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 518023*j**4 + 55*j + 70862512 wrt j?\nAnswer: 2072092*j**3 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2636565 + 278400 = 4*c, -5*c = 3*u + 2947771. What is c rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/55762 and -113\/13656.\nAnswer: 669144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.029 + -0.029. Let t = 11020.99736 - 11022. Let a = b + t. What is a rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/3 - (-25)\/(-15). Solve -2\/7*y**4 - 2\/7*y**3 + 0*y + 0 + r*y**2 = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 = -4*l + 32, 4*o = -5*l + 31. Suppose -l*v - 33 = 233. Which is the smallest value? (a) 3 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/27*18\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111011200 (base 3) in base 14?\nAnswer: 13bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 94. Let s(z) = z + 1. Calculate s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 16, 9, -2, -17?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**4 - 758*c**3 + 3649*c**3 + 6*c**4 + (3 + 1 - 6)*(1 - 1 + 2)*(-3*c**4 + 2*c**4 - c**4) to the form v*c + t + g*c**3 + q*c**4 + k*c**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -3*i**5\/10 - i**4\/6 + i**3 + 3*i**2 - 5*i. Let b(h) = 7*h**3 + h**2 - 7*h - 7. Let u(q) = 2*b(q) + 3*x(q). Factor u(f).\nAnswer: -4*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmbbmmmbmmmmmmmmm. Give prob of picking 2 m.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5231 = 5*s - 751. Let c = -896 - s. Suppose o - 2*u = 15, 2*u - 15 = -2*o - 3*o. Sort c, 2, o in increasing order.\nAnswer: c, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/2 + 0)\/(32\/(-46624)). Suppose 2*t + x - 3951 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2225 and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*a + 15, 1710*a - 39 = 4*o + 1709*a for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4) + (-150)\/20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3049397272 to 5 dps.\nAnswer: -0.30494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -21*p - 6. Which is greater: -2\/167 or p?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4698 is divided by 472?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.6 + -181.6. Let n = 157.000000335 + g. What is n rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let o = -68 - -65. Put 0, o, b in ascending order.\nAnswer: o, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4596198 + -1.15.\nAnswer: -4596199.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 6 + 22. Calculate the remainder when 8 is divided by (-4)\/p - (-38)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 251 = -3*q + x, -4*q - x - 344 = 0. Let r be (68\/q)\/((-17)\/10). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*y - 190 + 190)*(5 - 3 - 4) as p + s*y and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9772\/(-7)*15\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -388 + 5?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*m - 20 + 130, 4*u = 4. Suppose 0 = 4*c - 2*n - n + 140, 80 = -3*c - 4*n. Let t = m - c. Solve -5*q + t*v = 20, 4*q - v + 4 = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -303?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(700))**2 - sqrt(700)) + -4 + sqrt(252).\nAnswer: 16*sqrt(7) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180886566 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*q - 6 = 0, -1068*c = -1069*c - 2*q + 14 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-4)*1). Suppose l*h = 144 + 40. Is 5*-6*h\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*5\/8*12\/(-15). Solve -q*n + 5*n = -2*g - 13, -4*g + 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/10*15\/(-3). Let u be (12 + -2)*48\/(-20). Let l = n - u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 38.2. Sort j, 1\/8, 5, -1 in decreasing order.\nAnswer: 5, 1\/8, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2626 (base 7) to base 14\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129358, -129361, -129362, -129361?\n\"Answer: y**2 - 6*y - 129353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*v + 253*v - 266*v + 2317*v.\nAnswer: 3331*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-350)*5\/(-2). What is the second biggest value in -2\/7, d, 32?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -220, -831, -1860, -3313, -5196, -7515, -10276, -13485?\n\"Answer: -s**3 - 203*s**2 + 5*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.04 - 0.96. Let p = -0.1 - 0.1. Sort p, 2\/9, h.\nAnswer: h, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 28 + v**2 + 29 - 3*v**2 - v**3 in the form y*v + s*v**3 + a*v**2 + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 3, z: 2, a: 2, j: 8}. What is prob of sequence rdr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 88 - 8*d)*(-4 + 2 + d + 1).\nAnswer: -8*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1061 + 1232. Calculate the remainder when w is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84036 * -0.3.\nAnswer: -25210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/53)*s)*s\/(s\/s**8)*(s\/((s**11\/s)\/s*s))\/(s*s**(-20)))**(-2\/35) assuming s is positive.\nAnswer: s**(-1912\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i*i)\/((i\/(((i\/i**7)\/i)\/i*i))\/i))**37 assuming i is positive.\nAnswer: i**(-333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -770 in 2\/5, 0.3, 0, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + 2 + 2*sqrt(98) + -5)*5 + 1)**2.\nAnswer: -1820*sqrt(2) + 9969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 3:28 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100010 + -112221?\nAnswer: -22220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -1.4. Let f = -3.7 - y. Is -1\/2 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 14*q**2 + 5*q + 215*q**3 - 4*q - 213*q**3 + q to p*q**4 + a*q**3 + c + w*q**2 + u*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 i when four letters picked without replacement from uiuizuuuz.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109442 and 5.973.\nAnswer: 109447.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28936.68 milligrams in kilograms?\nAnswer: 0.02893668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u + 3. Let t(a) = -a**2 + 6*a + 14. Let p be t(8). Calculate q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - 5*m - 130, -d + 17 = 2*m. Let r = d + -13. Suppose -46 - r = -4*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v - 75*v = 5363 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25\/50 - 5\/(-2)) + 104*4. Solve -424*q - 5 = -f*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1757596*t**5 - t**3 + 25568112*t**2?\nAnswer: 105455760*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -115 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q - 11. Calculate n(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 47703?\nAnswer: 47706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -1)\/(-2)*-42 is divided by 11\/(-55) + 7 + (-567)\/(-35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -35*k**3 + 8*k + 8. Let m(d) = 12*d**3 - 3*d - 3. Give 8*m(g) + 3*w(g).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-55)*8954\/(-222)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 * 12.\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.44 - 6.76. What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-351)\/585 + 1\/5*-7. What is the closest to -0.2 in 29, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z + 0 + 4*z)*(138 + 665 + 2748)*(z + 0*z - 3*z).\nAnswer: -14204*z**2 - 7102*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 21*g**3 + 6*g - 16*g**3 + 38*g**3. Let p be v(2). Let u be p\/(-12) + (-5)\/(-60). Which is the smallest value? (a) 1\/2 (b) 1.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318 a factor of 319672710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 4 + 5*m**3 - 5*m**2 - 15*m**2 + 15*m.\nAnswer: 5*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556531 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1477 - 432. Suppose -4*h + 355 = -n. Find the common denominator of (-2395)\/h - (-3)\/21 and -21\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 divided by -1033?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + 57. Let h(n) = n - 19. Let q be h(22). Suppose -2*i - i = -o - c, 2*i - q*o - 66 = 0. Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.63818 nanometers in meters?\nAnswer: 0.00000000763818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*c - 2*q, 0 = -2*c + q + q + 16. Let r = -201 + 202. Solve -3*s + r = c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - k**2 - k - 1. Let a be q(-1). Let j be -6 - -5 - (-2)\/a. Is 4 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 2. Let l(t) = 3*t**2 - 3*t**2 + 2*t**f. Let j(x) = 10*x**2. Calculate j(l(a)).\nAnswer: 40*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.79 + -1.79. Suppose -2*j = -4, -r = 4*r + 4*j + 2. Which is the nearest to -4? (a) r (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r + 805 = 0. Let t = r - -224. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -139, 504, 2243, 5624, 11193?\n\"Answer: 91*a**3 + 2*a**2 - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -271. Suppose -208*l + q*l + 10 = 0. Let v(a) be the second derivative of a**5\/20 + a**4\/4 + 2*a**3\/3 + 3*a**2\/2 + a. Determine v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4015143, 4015138, 4015133, 4015128?\nAnswer: 4015123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6702, -18601, -38430, -66189, -101878?\nAnswer: -145497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, 1 r, and 1 g when four letters picked without replacement from gnrnngdkdknrgdl.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**2 - 4*u - 2. Let k(b) = b**2 + 3*b - 1. Let t be k(-3). Let v be o(t). Let c = v - -28. What is the remainder when 40 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 2, f: 1, t: 4, c: 4, z: 1}. Give prob of picking 1 e and 2 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 4*r**3 + 3*r**3 - 18*r**3 + 4*r**3 + 3*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51660 = 56*b - 17724. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 20\/(-25))*(-5)\/1. Let o be (t\/4)\/(12\/(-16)). Solve o*l = -0 - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-9))\/(1746\/(-7857))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + 310354?\nAnswer: 310441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 3\/4 (c) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a week in minutes?\nAnswer: 17136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68250 divided by 1365?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52426*c**2*o**2 + 10*c**2*o + 8*c**2 - 2*c*o**2 + 6851*c + 790*o**2 wrt c.\nAnswer: -104852*o**2 + 20*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:16 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 878 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-2*sqrt(4)) - (sqrt(17) + -2*sqrt(68)) - ((sqrt(272) - (sqrt(272)*1*3 + sqrt(272))) + sqrt(272)))**2.\nAnswer: 7497\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1773*i*t**4 - i*t**2 + 2*i*t + 2 wrt t.\nAnswer: -42552*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -168425 - -1b?\nAnswer: -168407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/122 at most 7637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 + (-6)\/15 + (-22)\/(-55))\/(-1). What is the fourth smallest value in w, 2, -3, -2\/9, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88424 is divided by 11051?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 30*i - 210. Let m(l) = l**3 - 10*l**2 + 24*l - 48. Let n be m(8). Let s be w(n). Solve 12 - s = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 20*f**2 - 5*f**2 - f**3 - 23 to the form o*f**3 + h + t*f**2 + r*f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 19*j - 39*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -455318 plus -2129095?\nAnswer: -2584413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*o - 4 = 0, 0*s - 16 = 4*s - 2*o. Let b be 14 - (0 - (1 + s)). Suppose 0*i + b = i. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 1791\nAnswer: 12537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. Let u(a) be the second derivative of -a**4\/12 + 5*a**3\/6 - 5*a**2\/2 - 115*a. Let y = -93 - -88. Calculate y*h(l) - u(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -16*q + 200. Solve y - q = -4*m - 3, 3*y = -2*m + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.94 and -0.11910829.\nAnswer: -1.05910829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -1\/14, 2\/5, -1\/66?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 105. Suppose -13*t - w = -19*t. 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 8178 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13872857, -27745716, -41618573, -55491428, -69364281, -83237132, -97109981?\nAnswer: -110982828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18)*-3*3. Solve -5 - 2*q - 12*q**k + 8 + 0*q - 7*q = 0 for q.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 3)\/(-16) - 21\/(-4). Suppose -11*g + 8*g + 6 = d, -3*d = -y*g + 10. Suppose -1474 = -g*i + 5*u, 0 = -5*i + i + 3*u + 2948. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7575.466 kilometers?\nAnswer: 7575466000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbeb when four letters picked without replacement from cbbbcce.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j**3 + 13 + 6*j**2 - 4 + 2*j**2. Let w(o) = 0 + 3 + 3*o**2 + 0*o**3 + o**3 - 6*o**3. Calculate -3*s(f) + 8*w(f).\nAnswer: 2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(84\/80)\/(-21)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(110) + 1*sqrt(110)) + sqrt(110))\/(-3*sqrt(10)*5))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558185?\nAnswer: 5, 111637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**6\/120 - x**5\/60 + x**4\/24 + x**3\/3 - 32*x**2 + 3*x. Suppose -k - 4*k = 0. Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40104649*l**2 + 9792*l + 603 wrt l.\nAnswer: -80209298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 93418.37 centimeters?\nAnswer: 934.1837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -270.328.\nAnswer: -4325.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 3284?\nAnswer: 42692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 7*g + 7. Let k be t(-7). Suppose -k*a + 255 = -2*a. Calculate the remainder when a is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.2, 0.1, 49, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0.026148 in descending order.\nAnswer: 0.026148, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322077859 to the power of 1\/2, to the nearest integer?\nAnswer: 17947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15350337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102243, -204484, -306725, -408966?\n\"Answer: -102241*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6271 and -560.\nAnswer: 3511760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(8\/4)*7. Let s = d - 2. What is the third derivative of -23*f**2 - 13*f**5 + 11*f**2 - 4*f**s + 3*f**5 wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3747 and 5346.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1799\/206 - 24\/103. Which is bigger: i or -0.04?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 + 197*t**5 - 12*t**4 + 109790*t**2 - 2*t + 1.\nAnswer: 360*t**3 + 11820*t**2 - 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 5*z**2 - 6*z - 7. What is w(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09598106565054 from -0.108.\nAnswer: -0.20398106565054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*((g*g*g**2\/g)\/g)\/g)\/g)**(34\/5)\/((g**(-2)\/g)\/g**5)*((g*g*(((g**(2\/7)\/g)\/g)\/g)\/g*g)**(11\/3))**28 assuming g is positive.\nAnswer: g**(-674\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 + 23*i - 23*i)*(2 - 2 + 2*i)*(-2 + 2*i + 2) as c*i**4 + w + v*i + p*i**3 + g*i**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + -51 + -36 + 90 + 7 + 0.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2129 - 61751\/29. Let k = 137\/145 + z. Which is the third biggest value? (a) -5 (b) k (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -330*z - 396615 + 382425 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f = 52*f - 24. What is the highest common factor of f and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -20554?\nAnswer: 20551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-314)\/(-4))\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 6, -394, 3 in descending order.\nAnswer: 6, 3, -1, -4, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2. Suppose -5*b = i*a + 9, 0 = -a + 6*a + b - 12. Suppose 2*r - a = 11. Let x(c) = c**3 - 8*c**2 + 7*c - 1. What is x(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-77))\/(-2) + (-3)\/(-7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l + 0*l - 13*l)*(12*l - 18 + 18 - 6).\nAnswer: 12*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15155 greater than -15122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/95616 and -109\/24.\nAnswer: 95616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.773 - -0.073. Let k = r + 12.36. Let n = -0.75 - k. What is n rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/4 + z**3\/3 - z**2\/2 + 4*z - 1. Let h be m(0). Suppose -o - h = 26. Round o to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-5*sqrt(243) - sqrt(27)) + -2 - (sqrt(135) + sqrt(135) + 2*sqrt(135)*4)\/sqrt(5)))**2.\nAnswer: 18252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 57\/3469885?\nAnswer: 57\/3469885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-25))\/(564\/(-1880))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7234 + 9186. What is the remainder when s is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + -215db0?\nAnswer: -215dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 1 - 1227*m + 1230*m - 3. Let a(r) = 3*r**2 - 10*r + 7. Calculate -2*a(t) - 7*z(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from aeauzukl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3590.42166 rounded to the nearest 10?\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 1, c: 2, u: 4, w: 2, k: 2, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 30*n + 6. What is the least common multiple of 16 and p(2)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598575 divided by 145325.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11525025*0.08\nAnswer: -922002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 42, 56, 70, 84?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -211, -317, -423?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2 - -7 - 5). Solve b + 25 - 28 = g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let j(a) = a**2 - 3*a**2 + 4*a**c. Let d(h) = 25*h + 7. Let n(z) = 8*z + 2. Let w(v) = -2*d(v) + 7*n(v). What is w(j(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -82*n + 5252. Give d(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 8*q - 9*q - 89 = 0, -4 = -4*q. Let r(d) = d**2 - 3*d + 4. Let o be r(2). Solve 4*s - o = -z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.96 - -0.16. Let t = i - -2.8. Which is the third smallest value? (a) t (b) 5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47468 is divided by 15818.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54 plus 544366?\nAnswer: 544364.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9211, 9326, 9441, 9556, 9671?\nAnswer: 9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1346145 (base 8) to base 10\nAnswer: -380005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417425, -1417432, -1417439, -1417446, -1417453?\nAnswer: -1417460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*-14.1.\nAnswer: -1395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*w + 11300 - 4166, 0 = 4*l + 8*w - 9536. What is the greatest common factor of 420 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 - 2*f - 2. Let x(m) = -16*m**3 - 9*m**2 - 4*m - 4. Give 2*q(p) - x(p).\nAnswer: 14*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7777, 7712, 7647?\nAnswer: 7582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 9420*g + 22184100.\nAnswer: (g + 4710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwxdxwwdwx. What is prob of picking 2 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(-2 + 0 + 3) - 12 - 12 + 3*u + 26.\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbeebebbqee. Give prob of picking 1 e and 1 b.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 9789, -0.3 in descending order.\nAnswer: 9789, 4, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 3.05. Let f = -0.25 + v. Let x = 2.199946 - f. Round x to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 4*u**2 + 2*u**4 + 10*u**3 + 2*u**2 + 4*u**4. Let k(p) = -13*p**4 - 21*p**3 + 5*p**2 + 5*p. Let d(w) = 2*k(w) + 5*y(w). What is g in d(g) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165294?\nAnswer: 2, 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**3*w**3 - 231*h**3*w**2 + 8*w**3 + 24*w**2 + 2 wrt h?\nAnswer: -9*h**2*w**3 - 693*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b + 2. Let p be h(-5). Is p <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from llvmvmvvvzvvwm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/577?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmbmbbb. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 - -4)) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -30. Let t = -18 - -7. Let a = t - -17. What is the highest common divisor of a and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, f: 2, a: 3, i: 2}. What is prob of picking 3 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -45. Suppose f*p = 5*p + 272. Let j be 1\/(-4) + (-4403)\/p. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3658*f + 4972*f + 1191*f.\nAnswer: 9821*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20*(-235)\/(-799). Put -9\/10, x, 10 in increasing order.\nAnswer: -9\/10, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -424*b**2 + 33*b - 2. Let s be a(-2). Let w = -204 - s. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.8781437 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52042109 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Solve -4 = r*k - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l - 2*l + 2)*(-19*l**3 + 37*l - 37*l + (-4*l + 3*l + 3*l)*(-3*l**2 - 2*l**2 + 4*l**2) + 4*l - l**3 - 4*l + 0*l**3 - l**3 + 0*l**3).\nAnswer: 23*l**4 - 46*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 6. Suppose 0 = 4*t - 7*t - 9. Give b(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-4 - 1) + 2 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390042 is divided by 1230.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -52. Is -2 - v - (-2 - 0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -485 + 538. Suppose c*q = 55*q - 252. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/(-17) + (-18 - -16). Is n > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 55 - 118 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18650 divided by 3730.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35008 * -2.4.\nAnswer: -84019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 3. Let h be y(0). Find the first derivative of 3*k**3 - 12*k**3 - 1 + 7*k**3 + 7*k**h wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 128 = -324. Let j = u + 113. Solve 3*n + n + 2 = -2*c, n + c = j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -44*q**2 + 0*q**3 - 5*q - 3 + 15*q + 45*q**2 - q**3. What is the tens digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/66 and (-836)\/240 - (-8 - (4 + -6)).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from xcccoxcozxzcz?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12730000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhb when three letters picked without replacement from {b: 9, h: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -920236 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/13437072 and -125\/6732.\nAnswer: 13437072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.8181 - 5.\nAnswer: -9.8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -89*f**3 - 12*f**2 - 172*f - 943. What are the prime factors of m(-9)?\nAnswer: 2, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -4*1*sqrt(170) - 1*sqrt(170)*3)\/(sqrt(90)\/(-1*sqrt(900))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1000, 1, -1, -10993, 0 in decreasing order.\nAnswer: 1, 0, -1, -1000, -10993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**4 - 64*x**3 + 111*x**2 - 75*x + 16. Let o(v) = -4*v**4 + 32*v**3 - 56*v**2 + 38*v - 8. Let n(i) = 2*c(i) + 5*o(i). Solve n(b) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.6 or 772\/163?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127909 is divided by 113?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10)*r)\/r*r**2*(r**(-1\/3))**10 assuming r is positive.\nAnswer: r**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n. Suppose 6*y - 2*y + 24 = n. Suppose 5*h + 10 = 3*j, -4*h - 25 = -22*j + 23*j. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5121 + 8128. Let n be d\/589 - 4*(-2)\/(-76). Solve -5*b - n*o = -20, b + 14 = 6*o - o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7378*y**3 - 3*y**2 + y - 1. List the prime factors of o(1).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/16947378 and -23\/538012.\nAnswer: 33894756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1064*z**2 + 35*z. Let l(x) = -2127*x**2 - 58*x. Give -5*c(n) - 3*l(n).\nAnswer: 1061*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*x**3 - 95*x**2*z - 1431*x**2 - 6772*x*z + 40*z + 2 wrt x?\nAnswer: 150*x - 190*z - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3807, 6482, 9141, 11784, 14411?\n\"Answer: -8*j**2 + 2699*j + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 728933*p**3.\nAnswer: 728933*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s - 84278 - 56324 = -15422. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374978.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 2f?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4176?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.252 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h + 20*h + 972 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3 + 114*d**2 + 1511*d - 5586 = 0.\nAnswer: -98, -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:10 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - s + 11*s - 10*s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110835, 219829, 328823, 437817, 546811, 655805?\nAnswer: 764799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103101 - -2100?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 174*p - 9845. Determine z(52).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9857710 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 12 - 3. Let f(w) = w**2 + 10*w + 7. Let b be f(o). Let k be (-186)\/(-12) + b\/(-4). Calculate the greatest common factor of 48 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 192.25 and -7.1481?\nAnswer: 199.3981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w - 3*w)*(2 - 6 + 0)*(-5*w**3 + 4*w**3 + 0*w**3) + (-3*w**2 + w**2 + 3*w**2)*(-2*w**2 - 2*w**2 + 5*w**2) - 2*w**4 + 0*w + 0*w.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013529 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -817155, -817165, -817179, -817197, -817219, -817245?\n\"Answer: -2*n**2 - 4*n - 817149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 5*l**2 - 4500*l + 2224*l + 2221*l.\nAnswer: -2*l**2 - 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356 (base 7) to base 8.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198301200.\nAnswer: 2, 5, 5495753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o**2 - 109*o**2 + 34*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5507 = 5*i - 1589, -q = 4*i - 969. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -3, 0, -1\/19, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) + 590\/(-18). Let x(z) = -z**2 + 11*z - 16. Let s be x(9). Let t = s - d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 1\/3*o**3 - 65*o + 0*o**5 - 1\/2*o**2 + 0*o**4 + 0 - 17\/15*o**6. Find the second derivative of b(y) wrt y.\nAnswer: -408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, q: 2, o: 1}. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 + -343. Sort v, 3, -48 in increasing order.\nAnswer: -48, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -79. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j + 5 - 7*j + j. Let n be i(-4). Sort n, 2, -3.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytsussi. What is prob of picking 3 s and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13.6. Let g = c - -0.5. Round g to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/3 - 8*x + 80\/3 = 0.\nAnswer: 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 122 = 5*t. Let r be -2*t\/(-10) - 6533\/(-695). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 7 = -14*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -100*o**6\/3 - 172*o**3\/3 - 252. Find the third derivative of d(g) wrt g.\nAnswer: -12000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149901749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002937 to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 42 = -3*k. Solve 0 = -5*m + k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**6\/5 + 13*y**5\/6 + 113*y**4\/18 + 67*y**3\/9 + 10*y**2\/3 - 4*y + 2. Determine n so that m(n) = 0.\nAnswer: -5, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681356939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.025 - -11.975. Let x = -2554 - -2554. What is the smallest value in -1, x, z, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22192 plus -98?\nAnswer: -22290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 510695492 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymgs when four letters picked without replacement from {m: 4, s: 2, g: 1, y: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37177.032 and 0.3.\nAnswer: -37176.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 3, t: 2}. What is prob of picking 2 t and 2 v?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 12955?\nAnswer: 12958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 199052822 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 990 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = -4*y + 10, -2*m = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*y - 847, 9*y = f + 8*y + 422. Let s = 698 + f. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 + 206*b**3 + 3972*b**2 - 48880*b - 246400 = 0 for b.\nAnswer: -70, -40, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475.632985 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**3 - 2*w**2 + 75. Let j(r) = 4*r**3 - r**2 + 37. Let s(g) = -5*j(g) + 3*z(g). Does 19 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (904*q**2 - 1649*q**2 + 849*q**2)*(-99 + 99 + 26*q)*(3 - 3 - 2*q).\nAnswer: -5408*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1643*k + 5971*k - 808*k + 4673*k to j + n*k and give n.\nAnswer: 8193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400444, 400384, 400322, 400258, 400192, 400124, 400054?\nAnswer: 399982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 - (-15 - (-9 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 12 in decreasing order.\nAnswer: 12, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 - 6 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-9) - 16\/144.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11566658 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 2553?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -411131 (base 5) to base 13\nAnswer: -6085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 2623?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 8*d + 8. Let g be z(7). Let u be ((-1)\/(-3))\/(g\/9). Suppose 13*r + 16 = 18*r - 4*l, -4*r = -3*l - 12. Solve u*h - 1 - 2 = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 5*b = -24, 3*c + 2*b = 24. Suppose 2*t + 4*v + c = 6*t, v = 3*t - 6. Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 803\/7 - 115. What is the third smallest value in n, 0.2, -0.5, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 937 - 15007\/16. Let l = 150\/7 + -1009\/84. Calculate the common denominator of q and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.3, -42, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183119831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0.5 (c) -19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -164*o + 16747. Give w(94).\nAnswer: 1331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/175014 and -64\/587547.\nAnswer: 8225658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/425714 and 98\/168045?\nAnswer: 6385710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -212223?\nAnswer: -212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/(9\/(-36))*(-2)\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 5. Let q = -204 - -197. Determine m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, 9, -4, -974.\nAnswer: -974, -24, -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -388 - -620. Suppose -l - 566 = -3*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s + 10*s. Let i(a) = -4*a**2 + 8*a - 2*a**3 + a**s + 0*a + 0*a. Is 8 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/101352 and -31\/210.\nAnswer: 3547320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/55 in -3\/4, -2, -0.599?\nAnswer: -0.599","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2875 divide 261294375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:51 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 115*h + 2197. Give c(-26).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -0.3, -103, 0.07 in descending order.\nAnswer: 0.3, 0.07, -0.3, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-3)\/(3\/13). Let k = m + 18. Solve 3*n - 12 = -0*g - 2*g, -4 = -4*g + k*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -12) + -15 + 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 + 6*i**2 - 5*i - 7. Let k(x) = x**3 + 10*x**2 - 2*x - 15. Let f be k(-10). Let j be l(f). Let s = j - 223. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 2*k - 3*k)*(18 + 1 - 3)*(0 + 10 + 6) in the form a*k + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = d - 4*d. Let o = -9 - d. Let s = -1373 + 1369. Put o, s, -5 in ascending order.\nAnswer: -5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*u - 3*h, -3*h + 0*h - 159 = -3*u - 135 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 96 = 6*f. What is the least common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*o - 60. Suppose o*g - 12*g + 2926 = 0. Suppose 0 = -5*m + 2*p + g, 4*m - p = 1179 - 11. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - 4*n**3 - n**4)*(-2 + 4*n + 2) + 10806*n**2 + 2*n**5 - 195*n**4 - 10806*n**2.\nAnswer: -2*n**5 - 195*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000139898892 rounded to seven decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r + i, 4*r - 3*i - 2*i = 44. Let u(m) = m**3 - 4*m**2 - 7*m - 5. Determine u(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 72*t - 255. Let l be m(-21). Let r(s) = -2*s**3 - 3*s**2 + 9*s + 6. Determine r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 45*b - 9*b**2 + 45*b wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 0.01.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543 = 60*p + 867 - 370 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let g be (-36)\/9*2\/(-2). Let i(f) = g - 2*f**2 + 2 - 6. What is i(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18020 is divided by 64?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -25839373?\nAnswer: 25839368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4\/5, 2\/1361?\nAnswer: 2\/1361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-6))\/(-11)*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**7*z)**(-7))**33 assuming z is positive.\nAnswer: z**1155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - a = 56 - 56, 0 = -4*i + a + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/3 - 6*g + 10. Let b be 4\/16 + 50\/(-8). Determine i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6502 + 3?\nAnswer: 6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 7*g**2 + 9*g - 18 + 13*g**2. Is 13 a factor of t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 136 + 50. Let k = -59 - x. Find the first derivative of 12*m**k - 2 - 9*m**3 - 14*m**3 wrt m.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4297*h**2*p - 3639*h**2 wrt p?\nAnswer: -4297*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/100 - l**3\/10 + 4*l**2. Factor a(k).\nAnswer: 3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i, 0 = k - 6*k - 5*i. What is the remainder when 21 is divided by (0 + k)\/(-3) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-216)\/48*(-51 + -1). Calculate the greatest common factor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 9. Let k(l) = -12*l + 26. What is -3*k(d) + 8*v(d)?\nAnswer: 4*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpeepqepeeeee. What is prob of picking 3 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6032413 (base 8) to base 15.\nAnswer: -2150cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 40. Let t be x(-8). Suppose -4*q + t*q = 16, 5 = -n - 2*q. What is the highest common factor of n and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98661 plus -438284?\nAnswer: -339623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 11. Calculate v(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*((-16932)\/(-2142))\/(-83).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-3 + 4773\/1590). Suppose 4*p = -b - 11885, 0 = -5*p + 3*b - b - y. Round p to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42142 (base 5) to base 14.\nAnswer: -103b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -278.3\nAnswer: -283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 43. Solve 11 = -m*c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 - 6*l**3 - 3*l**3 - 9*l**2 + 11*l**3 + 9*l**2.\nAnswer: 2*l**3 - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, -41, -279, -617, -1055, -1593?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5 - 7*f**4 + 10*f**3 + 70*f**2 - 9*f - 63 = 0.\nAnswer: -7, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k + 3310*k**2 + 87*k.\nAnswer: 3310*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 8*h**2 + h + 7. What is b(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:07 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d - 9*d - 12*d - 6*d + 18*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 4500359?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -8\/9 (c) 6\/13 (d) -1\/2 (e) 0.1 (f) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + 3)*(96 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*g - 35. What is the remainder when 24 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/575121 and 127\/54.\nAnswer: 10352178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-20))\/(2\/10). Let a(k) = 1 - 1 - 3 + t + 96*k**2. Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 731.\nAnswer: -1\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1041*f + 804. Let y(v) = -521*v + 400. Let h(l) = 2*w(l) - 5*y(l). Differentiate h(n) wrt n.\nAnswer: 523","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 33*y - 36. Calculate k(-33).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/33)\/(972\/(-594)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w**4\/3 + 727184*w**3\/9 + 67318*w**2 - 146428*w\/3 + 60592\/9 = 0 for w.\nAnswer: -7574, -4\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -69. Suppose 0*d = -d + 5*b + a, -5*d + 281 = 3*b. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2052, -1, -9, 0.17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12819 (base 16) in base 10?\nAnswer: -75801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x - 177. Suppose -1199 = -6*d - x. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuguuuuuuggu. What is prob of sequence gguu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1287*n - 2520*n + 1256*n - 5. Let p(w) = 11*w - 2. Calculate -6*o(a) + 13*p(a).\nAnswer: 5*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:22 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53098.472 days in weeks?\nAnswer: 7585.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185 (base 9) to base 11.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:58 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127451\/12 + -10614. Find the common denominator of k and 76\/4 - 3\/(-9)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 124*h + 18 = 127*h, 0 = 5*h - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 29673*b\/5 - 5934.\nAnswer: -3*(b + 1)*(b + 9890)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 + 77a?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2102 + 900.9102. What is d rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 198\/7 and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 53, -15255, 0.057?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05734 + 0.05744448. Round g to 6 dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + 0 + sqrt(3).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -4*r + z, -5*z = 9*r - 7*r - 171. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 22*q - 44. What is the units digit of f(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/((-11)\/264*4)*3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 10 + 15410\/(-115)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2137 + -2097. Solve 4*l - r = -5*q, -11*q + 9*q = -3*l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -947\/240 - 11\/16. Calculate the common denominator of 12 + ((-4112)\/(-30))\/(-8) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 10*b**2 - b + 13. Let t(l) = -5*l. Let j be t(-2). Let x be z(j). Solve -x*d + 3 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -2230, -8167, -19774, -38941, -67558, -107515?\nAnswer: -160702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5409061 and 166519.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:56 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.068 rounded to 0 decimal places?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13 = 2. Find the third derivative of -6*s**m + 10*s**3 - 5*s**2 + 2*s**3 wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v - 30. Is 6 a factor of (3 - -6)*(-4)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957697 is divided by 1290?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 30342.\nAnswer: 2184624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 - 6*h + 438325. Let b(z) = -29*z. Give b(a(q)).\nAnswer: 87*q**2 + 174*q - 12711425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12065160*o*s**3 + 233223*o*s**2 + 2*o*s - o - s**2 - 3*s wrt s.\nAnswer: -72390960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, f: 2}. What is prob of sequence kfkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 4 - w + 2)*(6 - 6 - 18)*(0 + w**2 + 0) + w**3 - 9*w**3 + 24*w**3 to b*w + a*w**3 + t*w**2 + u and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 9:41 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7792*a + 841497. Calculate l(108).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3aa (base 13) to base 16\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.7 + 21. Let s = i + 0.7. Let l = 6 - 8. Which is the second smallest value? (a) s (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 39767740.\nAnswer: 437445140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) 4 (c) 2 (d) -100 (e) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/17)\/((9*(-1)\/(-3))\/3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t + 89 = -49 - 618 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}