diff --git "a/data/dm_maths/full_data_1/10641_11255.jsonl" "b/data/dm_maths/full_data_1/10641_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10641_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the nearest to 0.03 in 0.1, 4, -15, -1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-370)\/(-24) - (-9)\/54. Which is smaller: a or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 - 32558*s**3 - 553277*s**2 - 2603344*s - 2082624 = 0.\nAnswer: -32541, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s**4 - 7*s**3 + 2*s**2 + 2. Let t(y) = -26*y**4 + 16*y**3 - 5*y**2 - 4. Let z(i) = 5*q(i) + 2*t(i). Find the first derivative of z(r) wrt r.\nAnswer: 52*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.3 - 23. What is the third biggest value in -2\/11, s, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 - 612*y**2\/5.\nAnswer: -y**2*(y + 612)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/15 + (-3)\/5. Suppose 0 = -7*c + y. Is c greater than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**2 - r - 1. Calculate the remainder when -6*15\/(-6) - -4 is divided by h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.948 + 28. Let q = x + -16.052. Let h = q - -20.4. Round h to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4247375 rounded to the nearest ten thousand?\nAnswer: -4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-14) - (-5 + (-4)\/(-28)). Suppose i + u + 5 = 3, 4 = 3*i - 2*u. Let x = i - -5. Solve 0 = -l*y + x - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/15)\/(-5)*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l**3 - l**2 + 7*l + 11. Let w(y) = 7*y**3 - 2*y - 4. Let c(h) = 2*b(h) + 7*w(h). Let u(o) = o**3 - o**2 - 1. What is c(j) - 4*u(j)?\nAnswer: j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + 145. Let m = -4 + 11. Let i = -9 + m. Sort -0.2, x, i.\nAnswer: i, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.4, 1.52, -5.7, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from ddjddvvjdddjduvdjdd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 + 2*t - 11. Let o be y(8). Let z(m) = m + 1. Suppose r + r = 6. Let i be z(r). Solve b + i*b = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bps when three letters picked without replacement from {g: 1, s: 2, p: 3, b: 1, t: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7856, 7841, 7816, 7781, 7736, 7681, 7616?\nAnswer: 7541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 17 - 6 - 9*w.\nAnswer: -9*w + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -56072?\nAnswer: 1\/14018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 1. Let x = -84 - -83.57. Let y = x - -2.43. What is the second smallest value in -2\/13, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 3:56 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6660847229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i. Let y(v) = -4*v**3 + 4*v. Suppose -2*t + 0 = -8. Calculate t*y(u) - 18*d(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 233*v**2 - 8*v - 9. Let o(x) = 58*x**2 - 2*x - 2. Give -2*b(l) + 9*o(l).\nAnswer: 56*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + 100 - -12) + (5 - 3 - 11)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21229146 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 11*d + 10. Is k(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x - 22 = -20*x - 4*b, -5*x = 4*b - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6947.\nAnswer: 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 427018918 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124877*l - 1 + 249351*l - 130564*l + (-5 + 2 + 1)*(-l + 2*l + l) to d + p*l and give p.\nAnswer: -6094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x + 6300000. Let f = -6 - -6. Let a be j(f). Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 10*g**2 + 7*g - 3. Let w be d(5). Suppose 98 + w = 4*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -54*o**2 - 3*o. Let y(c) = -18*c**2 - c. Let x(k) = 2*n(k) - 7*y(k). Let r be x(1). Calculate the greatest common divisor of r and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytnppyntyypp. What is prob of sequence ny?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1655*t - 3234. Let r(q) = -1656*q - 3218. Let c(k) = 9*l(k) - 10*r(k). Differentiate c(u) with respect to u.\nAnswer: 1665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 + 49 = -12*i + 33. Which is smaller: i or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -355, -2603, -8669, -20461, -39887, -68855, -109273?\n\"Answer: -318*n**3 - n**2 - 19*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 448 - 452.3. Let n = 8.3 + d. What is the closest to 3 in 5, 2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 77 - 160 + 700*y + 155*y.\nAnswer: 855*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let p(n) = -8*n**3 + 2*n**2 - 1. Let o be p(-1). Let h be ((-6)\/o)\/(1*6). Which is the third biggest value? (a) 0.2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 - 6*x - 6. Let m(f) = f**2 + f + 1. Let h(u) = 6*m(u) + w(u). Let t(p) = 27*p**2. Determine t(h(z)).\nAnswer: 108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141434\/255 - -2774\/5. Let z = -199\/357 - a. Let h = -8\/21 - z. Sort -8, h, 0.3 in ascending order.\nAnswer: -8, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.2. Let q = 204.5 - 205. What is the closest to v in 0.5, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 5*i**2 - 5*i**2)*(-291*i**2 - i + 3*i + 665*i**2 + 3) as r*i**4 + f*i + z + w*i**2 + j*i**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 747, 3\/2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 135324*r + 1895124.\nAnswer: -3*(r - 45122)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*q + 40, -2*q - 3*p = -3 - 16. What is the second derivative of -8*u + 16*u - u**3 + 5*u**q + u**3 wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 30*q**2 + 2*q - 369. Let m(c) = -14*c**2 - c + 184. Let a(d) = 6*l(d) + 13*m(d). What is the tens digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100700695735 + 0.607.\nAnswer: -100700695734.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22400\/11 - 2035. Let t = g - 127\/77. Which is the closest to t? (a) 2\/19 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let b(x) = -x**3 + 8*x**2 + 8*x + 4. Let v(a) = b(a) - 4*n(a). Let z(w) = 9*w**2 + w - 2. Let s be z(1). List the prime factors of v(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/27 - w**2\/6 + 2*w\/9 - 28. Factor l(o).\nAnswer: (o - 2)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q + 9 = 40*q, 2*b + 5*q - 13 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2978287 and -49\/9393059.\nAnswer: 122109767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418169433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and -247.1?\nAnswer: -34346.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.108 - -29.108. What is the smallest value in -1\/5, -2, -1392, m?\nAnswer: -1392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 + 1 + 5 + 4 + -26\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -5*c**2 + 83\/24*c**4 + 3\/2*c**3 + 0 + 0*c. What is the units digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 75*j**2 + 91*j + 231. What is the first derivative of g(f) wrt f?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/16 - 1 - (25 - (-8812)\/(-352))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 8. Let g(r) = 46*r - 9 - 24*r - 25*r. Let v(q) = q + 3. Let x(o) = -2*g(o) - 5*v(o). Determine 3*k(s) - 8*x(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + g**4\/4 - g**3\/6 + 2*g**2 - 5*g. Let x be o(3). Calculate the common denominator of (x + 2 + -44)*-1 and 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(132\/(-80)))\/(-4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006*n + 8991 = 895*n for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f)**(10\/11)*f*((f\/(f*f**(-3)\/f*f)*f)\/f)\/f*f**(-2) assuming f is positive.\nAnswer: f**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2667642740 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 755.6 + -754.6. What is the fourth biggest value in 2\/7, 1\/2, z, -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1905105 and -59\/57630.\nAnswer: 430553730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 9, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/g*g*g\/(g*g**(-7)\/g))\/(g\/(g\/g**(1\/18)))**(-47) assuming g is positive.\nAnswer: g**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, j: 15}. Give prob of picking 4 c.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t - 7*t + 5*t - 1)*((t**2 + t**3 - t**2)*(-2*t + 7*t - 3*t) - 17*t**2 + 3*t**4 + 17*t**2).\nAnswer: 85*t**5 - 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 2*y**2 - y - 1. Let s(q) = -35*q - 2488. Let u be s(-71). Calculate p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10711673 and 10711674 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -43 - 89. Let c be -2*3 - (37 + -45). Suppose d - y = -c*d. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/30)\/(382\/3). Let l = 589\/1528 + o. Which is the second biggest value? (a) 0.13 (b) 5 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*g - 2*g**2 + 2 - 110*g + 2 + 10*g**3 + 1 + 0*g**2 as o*g**3 + x*g**2 + l*g + s and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 5. Let d(w) = -w - 1. Let g(n) = -6*d(n) - 3*v(n). Let q(z) = 4*z - 10. Let f(c) = 5*g(c) - 4*q(c). Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/3)\/8*(-18)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716113?\nAnswer: 811, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2 + -4 + (39 - -1 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -44*a**2 + 19*a + 45. Let k(z) = -9*z**2 + 4*z + 9. Let f(s) = 2*i(s) - 11*k(s). Suppose 44 = 5*l - 3*c, l - 3*l - c = -22. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.080264\nAnswer: 1.20396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -504 in descending order.\nAnswer: -1, -10, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3*h - 47. Let y be a(14). Let z = -283 - y. Calculate the highest common factor of 13 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1794.6230018304 - -0.3.\nAnswer: 1794.9230018304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:20 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m**3 - 75*m**2 - 164*m + 1. What is b(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 193, 415, 715, 1087, 1525, 2023, 2575?\n\"Answer: -i**3 + 48*i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -54*15\/(-90)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 21.7, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 3*w - 2. Let c be y(2). Suppose 0 = -179*l + 197*l. Solve c*u + 5*u = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 566.\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0059363 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-72)\/54*(-36)\/40?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvsssvsvssvsvvsvss. Give prob of sequence vv.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from nvraafe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**5 - 5*g**4 + 6*g - 5. Let b(c) = -2*c**5 - 3*c**4 + 3*c - 3. Let p(a) = 5*b(a) - 3*u(a). What is the second derivative of p(h) wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -1\/6*i**6 + 5\/12*i**4 + 0*i**2 + 155*i + 13\/4*i**5 - 65\/6*i**3 + 0. Let k(y) = 0. What is y?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -18. Which is bigger: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2. Let k be 1 + 0 + 1 + -3. Let g(f) = -f**2 + f + 1. Let c(t) = t + 1. Let w(a) = k*c(a) + g(a). Calculate w(b(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42 and -17\/3064?\nAnswer: 64344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*a + 14. Suppose 5*w + u + a = 154, 19 = w + u. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50, 1\/3, -5\/16579?\nAnswer: -5\/16579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97092\/73 + -1330. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s. Let i(u) = -u. Let o(t) = -b(t) + 4*i(t). Let p(g) = -9*g**2. Give p(o(a)).\nAnswer: -1296*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1449*i - 4713 + 9428 - 4715 as g*i + s and give g.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -4, -1\/18, -5?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89870.\nAnswer: 2, 5, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1954403\nAnswer: -5863209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**2 + 61\/4*p**4 + 6*p + 8 + 71\/3*p**3. What is the second derivative of k(t) wrt t?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 - 4*w - 1. Let h(d) = d**3 + 15*d**2 - 18*d - 27. Let z be h(-16). Calculate y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7333171 millennia?\nAnswer: 73.33171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 2*g - 5. Let p be n(-6). Suppose p*l = 3*l - 1120. Is (2\/(-5))\/(8\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -51?\nAnswer: -95\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*q = -51, 0 = k - 2*q + 7*q - 15. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0 - 1\/3*s**3 - 1\/10*s**5 + 1\/60*s**6 + 3*s**2 + 1\/4*s**4 + 0*s. Factor a(l).\nAnswer: 2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*g = 9, -31*g - 14 = -2*w - 33*g for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -256, -663, -1306, -2155, -3180, -4351, -5638?\n\"Answer: 5*g**3 - 148*g**2 + 2*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(52)\/sqrt(4)*6 - (5 + sqrt(26)\/sqrt(2))) + -1)**2.\nAnswer: -60*sqrt(13) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6562 - 6532. Solve -30 = h*r - 40*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20) + 468\/(-660)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(1\/76)\/(s**(-1\/4)*s)**(4\/7) assuming s is positive.\nAnswer: s**(-207\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*b**4*p**2 + b**4 + 2*b**2 - 96*p**2 wrt b?\nAnswer: 156*b**3*p**2 + 4*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w. Let j(q) = 987*q + 1. Determine a(j(b)).\nAnswer: -3948*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 4\/16*-10 - 1755\/(-78).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132311*d**3*y**2 - 67*d**3*y - 1346475*d**2 - 2*d*y**2 + 13*d wrt d?\nAnswer: -793866*y**2 - 402*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, l: 2}. Give prob of sequence lhl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -302503.411 and 1.\nAnswer: -302503.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 19*u. Let t(i) = 5*i**2. Give o(t(x)).\nAnswer: -75*x**4 - 95*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.672 + 8.6. Let f = -68.772 - l. Let q = f + 33. What is q rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -1\/5, 6 in decreasing order.\nAnswer: 6, 5\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 26*t**2 - 1247*t - 54. Determine g(32).\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7913*g**2 + 14*g + 7. Let j(d) = -597432*d**2 + 1056*d + 528. Determine -7*j(h) + 528*m(h).\nAnswer: 3960*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1\/(20\/(-8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 14114*s - 98665. Determine l(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x**3 - 2*x**2 - 5*x + 9. Calculate the remainder when r(-4) is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121\/7*g + 0 + 22\/7*g**2 - 1\/7*g**3.\nAnswer: -g*(g - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18376323 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - p - 1. Let k = 20 + -16. Let a = k + -2. Suppose 3*w + g = -1 - 6, -3*w - 11 = a*g. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276*b**3*z**2 - 97*b**3*z + 818049*b**3 with respect to z.\nAnswer: -552*b**3*z - 97*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 (base 11) in base 5?\nAnswer: 13014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 3 (c) 5 (d) -3\/98 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 265426?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -752*m**3 + 16448*m**2 - 212 - 16444*m**2 - 11 wrt m.\nAnswer: -4512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n**3 - 8*n**2 - 2*n + 6. Let q(c) = -17*c**3 - 9*c**2 - 2*c + 7. What is 7*l(p) - 6*q(p)?\nAnswer: -10*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:45 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 5. Let c(t) = 11*t - 11. Let g(l) = c(l) - 3*i(l). Let u(x) = -3*x + 1. Let w be u(1). Calculate g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 124\/(-217) - (-11)\/7. Let y be c*(-1 - (-1 + -5)). Solve 3*s = -s + 5*x + y, -2*x + 15 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*4\/(-56)*-53 and 19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*-6)\/sqrt(9) - ((sqrt(396) - (sqrt(396) + 0 - sqrt(396))) + 1 + (sqrt(11) - sqrt(44)\/sqrt(4))))**2.\nAnswer: -12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 55*p - 2194. Calculate u(-38).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/((-6)\/12).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k**13)\/(k**(-13)*k\/((k\/(k*k*k**1*k*k))\/k)) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 149 - 58. Solve -3*f = 6 - 3, -2*o + x = -f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 819035.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/30 - -1) + (-6)\/(-4). Suppose -14*s + 20 + 8 = 0. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 0*a**2 + 8*a**2 + (-2*a - a + 5*a)*(3 - 3 + a) + 5*a**2 + 0*a**2 - 10*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66*51*16\/4896\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*w + 3*b + 4, 32 = 5*w + 4*b. Sort -1, -7, w.\nAnswer: -7, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 165*g**2 - 1680*g - 5440.\nAnswer: -5*(g + 8)**2*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1036)\/(-308) - (-4608)\/2816?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 2287156.\nAnswer: -2287089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -2*p + 4*w = 3*p - 33, -5*p - 4*w + 17 = r. Solve 8 = -p*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388135821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/3 - 2*s**2. Let u(r) = 2*r**2 + 5*r. Let j(m) = 2*m**2 + 6*m. Let o(t) = 5*j(t) - 6*u(t). Give o(k(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3964380 and -107\/566340.\nAnswer: 3964380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -181*1*(9 - 10). Let f = h + 134. Suppose 10*y = -65 + f. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.268891 - 41.26889255. Let w = -1.212 + -0.788. Let u = m - w. What is u rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6320 by -1264.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2520\/26 + (-443)\/(-5759). Solve 42*z - 239 = f for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Let w = t - 4. Let -5 - 9*l + 4 - 3*l**3 + 9*l**2 + 4 + w = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56435376 by -552.\nAnswer: -102238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 12*k**2 - 11*k + 12. Let q be n(13). Suppose q*i - 53 = 37*i. What is the remainder when 93 is divided by i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7 - 11 - 3 + 0 + p.\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 + 2. Let a be j(3). Suppose -a*w = -9 - 3. What is the smallest common multiple of 4 - ((-2)\/2 + -1) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 3*r**2 + 5*r - 4. Let b be f(3). Suppose -2*l - 5 = -b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 14. Give f(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.23 - -8.8. Let v = y - -0.03. Suppose 4 = -2*i - 2. What is the biggest value in v, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 + 3 + 0 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 45 = 8*l. Let n = -13 - -1. Let k = 14 + n. What is the least common multiple of k and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 4*v**3 - 1 - 2 + v**2 + (-3*v - 3 + 3)*(2*v**2 + 2*v - 2*v) - 2 + 2 + 3*v**3.\nAnswer: -2*v**3 + v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 642 or 418980\/653?\nAnswer: 418980\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3454 and 11932?\nAnswer: 131252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - 0)) + -2 + -71 + (-21 - -111)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -5. Let s be (12\/u - -1) + -2. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -4\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*b = 30, 0*v + 3*v - 2 = -b. Suppose -v*i + r + 5 = 0, -2*i - i = -3*r - 6. Solve -10 = 3*y + 2*o, i*y + o - 4*o + 15 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6083 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 501276725 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 76*l + 3 - 21 - 448*l + 4. Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 2*v - 16, 0 = -y + 4*v - 4. Let i be 0*(2\/2)\/(-3). Suppose 36 = -i*w + y*w. Solve -4*d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 4*l - 5*l - 238009 + 238475.\nAnswer: 2*l + 466","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Let z = -275 - -281. Solve u = z*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2115 - -2115.1. Let k = -5.66 + 5. Do t and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, -3416 in increasing order.\nAnswer: -3416, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61224 - -21261?\nAnswer: 102505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/2 - 9*v**2 + 4*v - 13. Let b(y) be the first derivative of i(y). Find the first derivative of b(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:20 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/9)*i**13*i**16\/i**(-14) assuming i is positive.\nAnswer: i**(392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-83 + 2)\/(12\/8). Let n = -21 - z. Suppose 30*p = n*p - 108. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -13, 1115, 5 in increasing order.\nAnswer: -13, 5, 28, 1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 3. Let r be f(-6). Let w = -12 + 8. Let v = w + 6. Solve 5*z - y + v*y - 24 = 0, 3*z = r*y + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 times -2.26\nAnswer: -88.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-15*1 - 3. Let j = 36 + h. Suppose 2 = -n + j. Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u + (-4 + 4 + 2*u)*(-2 + 5 - 1))*(u**3 - 4 + 4).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/53, -0.3, 268773, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31099 is divided by 798?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11392, -91412, -308602, -731548, -1428836, -2469052?\nAnswer: -3920782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 - 3 = 0. What is the second derivative of 69*q**3 + 39*q**2 - 39*q**2 + q + 32 - g*q**3 wrt q?\nAnswer: 402*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100000111 - 1100?\nAnswer: -10111100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 4 = 0. Suppose -5*k + 12 = -m*k. Suppose k*j - 5*j + 15 = 0. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**6\/15 + w**5\/5 - 2*w**3\/3 - w**2 - 2*w + 5. Let n(x) be the first derivative of c(x). Solve n(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13290?\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 2*s - 14. Let z(y) = 4*y**2 + 2*y + 15. Let l(f) = 6*x(f) + 5*z(f). Let n = -4 + 0. Let d(u) = -u**2 + u + 4. What is n*l(i) - 9*d(i)?\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 14 = -4*i, 10 + 10 = 4*i. Let o be 2\/(-3) - 2\/(-3). What is the third biggest value in -13\/3, k, o?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2 - 24\/(-9)). Let h be (0\/(4\/l))\/2. Let c(p) = -p + 1. Let j be c(-6). Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -31, 39, 1.\nAnswer: -31, 1, 2, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose 5*x = -m + 11 + 27, -w*m + 5*x = -94. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, s: 2, t: 1, d: 5, g: 1, o: 1}. Give prob of picking 2 d and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.305257 minus -4.9136671?\nAnswer: 2.6084101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1944 and 770310.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, -0.1, -0.3.\nAnswer: -0.3, -0.1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2435 - 1674. Let f = w - 751. Solve 5*t + x + 6 = 2*x, t = 3*x + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/(-24))\/11*(-9)\/4. Which is the fourth smallest value? (a) 4 (b) 1\/3 (c) 0.2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59.7 + -9.7. Which is the biggest value? (a) 0 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36121 (base 12) to base 15.\nAnswer: 1684a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 1 + 3*v + 29*v**3 - v**4 - 27*v**3 + v**2 - 5*v + 3*v in the form n*v**4 + d*v + h*v**3 + t*v**2 + f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -3 (d) 1\/4 (e) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3) + 1)**2 + (-2*-2*sqrt(80))**2.\nAnswer: 4*sqrt(5) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1. Let o(g) = 2*g - 4. Let c(h) = -o(h) - 4*s(h). Suppose -4*a = l - 0*a - 2, l - 2 = 5*a. Let w(n) = -7 + 12 - l*n**2 - 5. What is w(c(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -33*b**3 - 15*b**2 - 11*b - 3. Let i(x) = -8*x**3 - 4*x**2 - 3*x - 1. Let a(h) = 15*i(h) - 4*r(h). Calculate a(-2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 6*g. Let u be l(-5). Let m = u - 1. Let s = 6 + -6.1. Which is the closest to -1? (a) s (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let t be 1*(-9)\/54*0. Let s(f) = 0*f - 4*f**3 - 30*f**2 + t*f + f + 65*f**2 - 33*f**2. Calculate s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.381 - 0.2354?\nAnswer: -91.6164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 636 divide 7795208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and 159.4.\nAnswer: 151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, 4, 0.4, 0.1, -9077?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p + 190. Let h be q(10). Let b be (3*4\/(-21))\/(h\/(-35)). Solve -b*i + 4*l = -16, 9 = -5*l + 2*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1212 and 851127?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 122 = 6*u - u, 5*u + 1073*v + 1072*v = 2149*v + 128 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 118 + 113 = h, 2*f - 5 = -3*h. Is h > 16\/1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 677.\nAnswer: -7447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1558720, 1558713, 1558696, 1558663, 1558608, 1558525, 1558408?\nAnswer: 1558251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 6, r: 1, m: 4, y: 5, n: 3}. Give prob of picking 2 m, 1 r, and 1 d.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 14*c**2 + 2*c + 22. Let d(h) = -2*h**3 - 29*h**2 - 4*h - 45. Let x(p) = -4*d(p) - 9*y(p). Let r be x(-10). Solve r*m + 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 16*q + 14. Give j(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 25, 3, 0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229377*f**2 + 171782*f**2 + 18552*f**2.\nAnswer: 419711*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -21*g - 45 - 47 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 2*v**2 + 0*v**3 + 1\/15*v**5 + 0*v + 0*v**4 + 0. Let t(s) = 2*s. Give f(t(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 786\/12*-1)*(-10)\/(-15).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 24*y**2 + 72*y + 15. Let i be w(-27). Let r = i - 253. Let o = -1 - -2. Put o, -2, r in decreasing order.\nAnswer: r, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 + 2\/5*z**3 + 12\/5*z**2 + 24\/5*z.\nAnswer: 2*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -181, -192?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4410383345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 66*j**2 + 3*j. Give l(1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591625326 to the power of 1\/2, to the nearest integer?\nAnswer: 39895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 7. Let y = h - -7.3. Let v be -6 + 4 + 6\/4. What is the closest to v in 4, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v - 36. What is the lowest common multiple of -1 + 3\/(v\/(-12)) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/21215 and -15\/1421?\nAnswer: 30146515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 1014*c + 5 + 649*c - 1155*c + 7 - c**2.\nAnswer: -c**2 - 1520*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v - 3. Let q = -6 - -3. Let p be o(q). Suppose 0 = a - 19 + 7. Calculate the highest common factor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.5 (b) 5 (c) 5\/348 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -314 + 315 + 2*x**2 + 0*x**2 + 3*x. Let f(w) = -w**2 - w. Let o(n) = -n + 2. Let h be o(0). Give h*d(t) + 5*f(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15726, -15535, -15328, -15099, -14842?\nAnswer: -14551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3200) + (sqrt(1250) - sqrt(1250)*2) + sqrt(50))\/((sqrt(10) + sqrt(80)\/(sqrt(16)\/sqrt(2)))*-2) + -4)*1.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/2 - 2847*w**2\/2 + 228565*w\/2 + 1213875\/2 = 0. Calculate w.\nAnswer: -2925, -5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhff when four letters picked without replacement from {f: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.209 + -0.191. Let g be -5 - (0 - 4)*(-225)\/(-175). What is the fourth smallest value in h, g, 4, 1.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) - 3\/(-12). Let i = o - 1. Suppose i*p - 12 = -p. Solve -j = -5*j - p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -10, 3*b + 1594 - 1598 = 4*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13857, 75083, 183677, 339639?\nAnswer: 542969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148938 is divided by 2992?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/65)*g)\/(g\/g**(1\/22)) assuming g is positive.\nAnswer: g**(21\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 3\/7, -5, -4, -1\/3, -1\/93?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*w**2 + 46*p*w - 110*p - 25274*w**2 + 2*w with respect to p.\nAnswer: -2*w**2 + 46*w - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 + -2.57. Let o = v + 7.1. Which is the closest to -1? (a) o (b) 2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9543, -37674, -84391, -149694, -233583, -336058, -457119?\nAnswer: -596766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1*6\/9). Suppose 3*l + 5*n = -4 - a, -3*l + 11 = -4*n. Solve x = -1 - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 11 + 6*m + 0*m - 3*m. Let z(d) = -d - 6. Let c(g) = 6*a(g) + 11*z(g). Let u(l) = 7*l. Determine c(u(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2 + 2 + (6*j - 4*j - 3*j)*(0 + 2*j + 0) + 0*j**2 + 2*j**2 - j**2)*(35*j**2 - 8*j**2 + 38*j**2).\nAnswer: 130*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446219169*v**2*x**2 - 173*v**2*x - 2*v**2 - 3*v*x - 2*v - 2618 wrt x?\nAnswer: -892438338*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 6\/61 (c) 0 (d) -4 (e) -2\/5 (f) -176\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 22*s + 10*s + 196 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -91*w**2 + 3*w. Let s(c) = 5368*c**2 - 176*c. Give -3*s(p) - 176*y(p).\nAnswer: -88*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(52)\/sqrt(4) - 6*(sqrt(13) + 2) - (-2 + sqrt(325) + 4*sqrt(65)\/sqrt(5))*-5)**2.\nAnswer: -1760*sqrt(13) + 21284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 8, 24, 2 in descending order.\nAnswer: 24, 8, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10\/7))**(2\/17))**(-21))**(-7) assuming t is positive.\nAnswer: t**(-420\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 - 2*h + 4. Let a = -102 + 102. Suppose 4*n - 8 = a, 3*d = d + 2*n + 12. Calculate the least common multiple of d and s(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-7) + 4\/(-14). Let r(n) = 10*n + 102. Let m be r(-10). What is the highest common divisor of m and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477946?\nAnswer: 2, 7, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -819, -818, -817, -816, -815?\n\"Answer: d - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/18 + 3\/(-2) - -2. Is s at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/24 - n**3\/3 + n**2. Let w be j(-5). What is q in 1\/2*q**4 - 1\/2*q + 1\/2*q**w - 1\/2*q**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 + -0.18. Let z = 0.3 + -0.22. Let i = 4.92 + z. Which is the closest to r? (a) 2 (b) 4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15 (b) -14 (c) 20 (d) 9870\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/7*8\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 4*s**2 + s. Let v(l) = -1162*l**3 - 15*l**2 - 3490*l. Let f(k) = -4*p(k) - v(k). What is the second derivative of f(n) wrt n?\nAnswer: 6924*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*b - 216*b = 275*b + 23*b + 84461 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1023 + -42?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 36*j**2 + 0*j**2 - 7*j**2 + 44*j**2 - j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 1. Let w(t) = -3*t**2 + 3*t - 3. Calculate 3*i(j) - w(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 6*x + 3. Let l be k(6). Find the common denominator of 59\/22 and ((-51)\/(-4))\/(-1 - l).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.6 + -21. Let g = y + 0. Which is the third smallest value? (a) -1\/2 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + v**3 - 17 - 45*v**4 + 161*v**4 - 55*v**4 - 57*v**4 to o + j*v + s*v**3 + k*v**4 + a*v**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 10. Let x = y + -4. Let i be (-3)\/8 - 43\/x. Solve -2*r - 2*j + j - 9 = 0, -i*r - j = 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z + 3*j - 164 = 113*z, 4 = -4*z - 0*z - 5*j + 288 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -32*0.134\nAnswer: -4.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58527 divided by -19509?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-65)\/(-650))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3186054 rounded to the nearest 1000?\nAnswer: -3186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -63. Let h = 55 - n. Let d = 10 - 6. Solve -d*v + h*j + 20 = 0, 0 = -5*v + 3*j + 5 + 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/(1 + (-4)\/(12\/(-3))). Let u = -23 + j. Suppose -2*s - 94 = -3*s + m, 281 = u*s - 4*m. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 - 0 - -7 - -14. Let z be (0*2\/v)\/(-5). Is -11\/9 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**1*q))**(3\/11)\/(q*q*q*((q\/(q**2\/q))\/q)\/q*q*q\/(q**(-3\/4)\/q)))**(-1\/24) assuming q is positive.\nAnswer: q**(221\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 307250 - -3?\nAnswer: 307253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1240, -2476, -3712, -4948?\nAnswer: -6184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3427*m + 123 - 2 + 58. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.082 in -3, 0.75, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/6 - 1*3. Suppose 3*x - 9 = -y*x. Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and -702347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10359599*v**4 - 2166882*v**2 wrt v?\nAnswer: -248630376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - h = -1703 + 1788, -3*x - 2*h + 19 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 4*l - 6*l. What is the derivative of -304 + 166 + l + 32*i**2 wrt i?\nAnswer: 64*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107397 is divided by 1053698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17640000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - j - 129 = 199, -u - 4*j + 328 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047*-30\nAnswer: 1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/8 - (-10)\/40. Solve -5*z = 4 + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -8 (c) -7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 9. Let h be w(0). Suppose 0 = -2*n + 5*n - h. Let l = n - 2. Solve l = c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((7 - 3)\/(-4)). Suppose 4*d - 5*l - 99 = -14, -o*d = -3*l - 43. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -3\/7 (b) 69 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2366 - 14?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5818 = -208*n + 3170 - 5366 - 2802 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41101, -66, -32\/5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 + 1960*a**2 - 974784*a + 42052608 = 0. What is a?\nAnswer: -1352, 48, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 22*d**2 - 5*d - 6. Let q be x(2). Suppose 42*h - q*h + 180 = 0. Solve -2*g + 4*t - 4 = 0, 3*g - 5*t = -3*t + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*b - 548 = 130*b - 1744 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -0.3 (c) 0.01 (d) 336 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:16 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -2, 4, -2\/13, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897572 by 164.\nAnswer: -5473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(2\/(-4) + -1). Suppose -7*s = 3*r - k*s + 9, -r - 11 = -s. Let j = r - -14. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18442*t - 4 = 18444*t. Which is the nearest to -17? (a) 0 (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**18\/(g**(-1\/4))**47)\/(g**(-1\/7)*(g*g*g**(-2\/21))\/g)**(-11) assuming g is positive.\nAnswer: g**(1691\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keepepzpepp. Give prob of sequence kp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffqvfqqfqvqfq. What is prob of sequence qv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 19. Solve 0 = b + 3 - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let j(s) = 6*s**3 + 1. Let d be j(1). Suppose -d = -3*x - 1. Let f(z) = -4*z**2 + z**x + 7*z**2 + 4*z**2. Determine o(f(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252602 - 784061 = -9*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1926114 and 4956.\nAnswer: 26965596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*26\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*m - 708 - 909 = 0, -5*m + 2156 = 4*h. Solve h*q - 542*q + 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*n + 664*n + 659*n + 8.\nAnswer: -n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23793261?\nAnswer: 3, 233, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 62864*o + 754080.\nAnswer: 2*(o + 12)*(o + 31420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1289*l - 702. Is z(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/25*70*6\/(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 14*m**2 + 28*m + 10.\nAnswer: -2*(m - 5)*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -721*l**3\/3 - 5*l**2\/2 - 4*l - 512. What is the second derivative of p(j) wrt j?\nAnswer: -1442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*s + 22 = -3*s, -s + 21 = m. Let z = m - 11. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/((-7)\/2 + 2). Let c(o) = o**3 + 13*o**2 + 5*o + 2. Suppose -b + 0*b + 22 = 0. Calculate the remainder when c(l) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.32, 125, -17, -4, -1, 436, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -542 - -543. Let h(g) = -g**2 - 3*g - 3. Let d be h(-2). Let m = -2 - d. Which is the second biggest value? (a) 0 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -61 - 569. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(448) - (sqrt(448)*2)**2) + (1*-2*sqrt(42) + sqrt(42))\/sqrt(6) - ((sqrt(175)*1)**2 - (-3 + sqrt(343)))*-1.\nAnswer: -16*sqrt(7) + 1970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149950018 is divided by 1005.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1630602 - 1630793 + 3261395 + 7*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l - 3 + 13*l + 3*l - 15 - 2*l**2.\nAnswer: -2*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 36 = -5*u. Find the second derivative of 10*b**3 + 47*b**2 - 27*b**2 - u*b - 20*b**2 wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:16 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3518 = 17*n + 58870. Let p = n - 7134. Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + 1 - 2 - 1 + (0 - 2 + 0)*(-1 + 2 + 0) + 2 - 4 + 0 + 3 - 1 - 3 + 0 + 0 + 2)*(-9 + 3 + 0)*(-1 + m + 1)*(-2 - 2 + 1).\nAnswer: -144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -19*x**2\/2 + 10*x - 18. Is i(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -153*d**2 + 79*d**2 + 75*d**2. Let k(n) = -3*n - 4. What is b(k(m))?\nAnswer: 9*m**2 + 24*m + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/28)\/(8\/(-28))*-1*4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 299.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22800020 = -0*b. Suppose 3*n + t + 17100002 = 0, -b = n + n + 5*t. Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -9. Is 322*-3*c\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2659208.\nAnswer: 13296040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2677 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 62*o**2 + 519*o + 7366. Determine l(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*t + 3*f, -5*t - 3*f + 7*f + 18 = 0. Suppose -t*z = -15 - 3. Let y(n) = -n**2 + 2*n + 1. Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 221.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3336.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*2*-5)\/(sqrt(36)\/(-1*sqrt(324))).\nAnswer: 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3228725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30045, -60412, -90779?\n\"Answer: -30367*r + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 4*h + 55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 6 + 3 - 8. Let x be (-1)\/(2\/2)*-1. Let d be p(x). Which is greater: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3*o**2\/2 - 1. Let c be 117\/12 - 2\/(-8). Let n(b) = -3*b**2 + 9*b - c*b + b. What is z(n(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 - (-200)\/24. What is the greatest common factor of m and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.14.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 32*s + 679. Let n be a(-21). Let z(p) = 2*p**3 + 4*p**2 - 2*p + 7. Let i(d) = d**3 + 2*d**2 - d + 3. Calculate n*i(h) - 3*z(h).\nAnswer: h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(1728)*1 - sqrt(1728))*-4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 87 + 191 = -17*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 3*s + 0*s - 2*s**2 + (-s - 1 + 1)*(0*s - 5*s - 3*s) in the form c*s + u*s**2 + o and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/57 (b) -0.5 (c) 0.05 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 4, z: 4, x: 2}. Give prob of sequence xxc.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 134. Let -f + 244 - 18*j**4 + 16 + 960*j - 816*j**2 + 212*j**3 = 0. Calculate j.\nAnswer: -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001836 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.8. Let k(q) = q**2 + 2*q + 2. Let h be k(-3). What is the second smallest value in h, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x - 83. Give k(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 + y**3\/3 - y**2\/2 - 3*y. Let z be u(3). Is z\/(12\/(-537)) + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45462 is divided by 14967?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 965 + 41?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3283? (a) -5 (b) -1\/4 (c) 0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4163*v - 34 = -4167*v, 3 = 4*k - 5*v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1691*l. Let u(j) = -145*j. Determine h(u(i)).\nAnswer: 245195*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -1\/6 (c) 2\/13 (d) 1 (e) -1\/5 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qquuq. Give prob of picking 2 u and 2 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.62 - -19.62. Which is the nearest to 2\/3? (a) 3 (b) 1.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44169*t + 80065 wrt t.\nAnswer: 44169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236248 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8110 + 14453. Suppose 2*u + 4*s = 2534, -2*s + m = 5*u - 0*s. Let q be (-40)\/((-6)\/(-27) + (-300)\/u). Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*a = -78, a = -a + 6. Let l = -24 + w. Let b = 39 + l. What is b rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435\/16 - 4617\/176. Is i greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337258*a**3*c - 4*a**2*c - 287*a*c + 2 wrt a?\nAnswer: 2023548*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**3 + 192*v**2 - 5*v - 42. Let s be b(-16). Solve 4*q = s*q + 136 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 1.4 (c) 1\/6 (d) -5 (e) 1872\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418, 1363, 2308, 3253, 4198, 5143?\nAnswer: 6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -17*x**3 - 4*x - 7. Let b(z) = 162 - 78 - 74 + 7*z. Let k be b(-3). Let v(j) = 5*j + j - 9*j**3 - 4 - 2*j - 6*j. What is k*v(i) + 6*p(i)?\nAnswer: -3*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/14 - (164\/(-28) - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -549087626 less than -549087627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18744, 37482, 56220, 74958, 93696?\n\"Answer: 18738*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 198\/48*-22 - 6\/(-8). Let i = n - -93. Solve 3*c + i*u = -24, 5 = c - 2*u + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + -1011210221021?\nAnswer: -1011211000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 139952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 1 + 8. Suppose -3*f + 33 = -3*b, -r*f + 3*b = 4*b - 49. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/7))\/t)\/t*t*t*t**8*t*t*(t**(3\/2)\/t*t)\/(t**8*t) assuming t is positive.\nAnswer: t**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/3*-17*-4 - -2. Let y = -848 - p. What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*j = 7, -5*q - j + 7 + 3 = 0. Suppose -2*t = -q*t + 50. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 5}. What is prob of picking 3 i and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41\/110 - -3\/11. Which is the closest to -1\/3? (a) -2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - g + 1. Suppose 0 = -3*n + 5*y + 56, 69 = -0*n + 2*n + 3*y. What is the remainder when 6\/12 - n\/(-6) is divided by i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, -1099, -1593?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453421 is divided by 1890?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64776508673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -691 + 416. Let z = -301.7 - y. What is z rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.391 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olk when three letters picked without replacement from kssskooslossssos.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 13*r**2 - 14*r + 5. Let h be i(14). Sort 3, h, -1 in decreasing order.\nAnswer: h, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318.02 - -322. Let x = -0.02 - l. Let g = -8.9 - -9. Put x, g, 3 in descending order.\nAnswer: 3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = -22. Suppose b*k - 170000 = 5*r - 0*r, 0 = 3*k. What is r rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = 4. Suppose -j*w + 2*w = -33. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208) + 0 + sqrt(208))*1.\nAnswer: -1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134.5 - 13.5. Let i = -148.2 - h. Which is the second smallest value? (a) i (b) -10\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 24239102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24*b**3 + b**2 - 1. Let s be t(1). Let g be 3*(s\/9 + -3). Let o be (-91)\/77 - 1*g. Are 1\/4 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 872*j**3 - 45748*j**2 - 193584*j - 197136.\nAnswer: -4*(j - 111)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13307, 13308, 13309?\n\"Answer: d + 13306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 39*t**3 - 1. Give v(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -117 and -5.185468.\nAnswer: -122.185468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -514*a - 2084, 134*a - 138*a + 19 = -5*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -6)\/(1\/(-2)). Let r be 5*56\/(-68) + f. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 7542092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8191 is divided by 139?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5726, -11132, -16538, -21944?\nAnswer: -27350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000100 - 1000111110?\nAnswer: 101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m + 73*m - m**2 - 136*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 528 - 376. Calculate the highest common divisor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*p = -141*p + 28407. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 - 12*g - 28. Give c(-6).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 at most as big as 106805\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-433931 + 433931 + 20808*q**2)*(-q**2 + 0*q**2 + 3*q**2) to the form f*q**2 + l + d*q**4 + j*q + s*q**3 and give d.\nAnswer: 41616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**(-1\/4)*n)*n))\/(n*n**(-1\/7))*n**1\/(n\/(n**(2\/5)*n)))**(-7\/2) assuming n is positive.\nAnswer: n**(99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42136 + -31?\nAnswer: -42200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2577.45 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 3. Let i be q(9). Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 8, w: 11}. What is prob of sequence wwjw?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqwm when four letters picked without replacement from qmzmqzqqqwqz.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 44\/((-24)\/6)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**4\/(i**1*i*i*i)**(-23)*(i**0*i\/i**(-9))**38 assuming i is positive.\nAnswer: i**(3312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 13. Suppose -5*f + 31 = -l. Calculate the lowest common multiple of f and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, c: 1, o: 3, r: 2}. What is prob of sequence oco?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 378.7 - 380.7. Which is the nearest to 0.2? (a) q (b) 0 (c) -77 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 5. Suppose h - 18 = c*h. Let x = 30 + h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3330376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/48*g**6 + 0 - 1\/6*g**5 + 0*g**3 + 5\/16*g**4 + 0*g - 40*g**2. Factor f(n).\nAnswer: 5*n*(n - 3)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o = 56*o - 12. Let p be (42\/(-18) - -3) + 2\/o. Let h be (1 - 6 - -2 - -4) + p. Solve -t - 4 = 4*n + h, 4*n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -523, -569, -623, -685?\n\"Answer: -4*f**2 - 34*f - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -38*p**5\/5 + 19*p**4\/3 + 2*p + 10. What is the third derivative of h(o) wrt o?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 + o + 1 + (-o - o + 4*o)*(0 - 2 + 1) + (o - o + o)*(0 + 2 - 3).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, 0 in descending order.\nAnswer: 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 12) to base 15.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -181. Suppose r = -24 + q. Solve 6 + 0 = r*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21\/14)\/(2660\/(-2648) + 1). Is h less than or equal to -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 6*x**3 - 69 + 83 + 2*x to u*x**2 + l*x + p + j*x**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-35))\/((-22)\/55). Let x = -3110.7 - -3111. Which is the closest to 0.016? (a) v (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 - 100*n - 698. Determine h(-9).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 426729347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tssettt. What is prob of sequence tts?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(6*sqrt(12)*2) + -5 + 5 + sqrt(11) + -6*(sqrt(11) + -2) + 4 + -3)**2.\nAnswer: -767*sqrt(11)\/6 + 62627\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 2*j**7\/105 + 7*j**6\/30 + 3*j**2 - 37*j. What is v in y(v) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 15*f + 11. Let x be u(17). Suppose 4*a - 245 = -x. Calculate the least common multiple of ((-20)\/a)\/(1\/(-25)) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4 = 0, 47*v - 26 = 2*a + 26*v for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(16)\/sqrt(4))*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24179 - 217610\/9. Let u = -1 + 1. What is the biggest value in u, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 minus -4870?\nAnswer: 4870.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -833 - -832. Is a <= -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -150, -405, -824, -1443, -2298, -3425?\n\"Answer: -6*s**3 - 28*s**2 - s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -203, -460, -819, -1280?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/2 (b) 0 (c) -2 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5.4 (b) 1\/3 (c) -206 (d) 2\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48594589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + -8 + 4 + 5. What is the second smallest value in 2\/3, l, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 1159 - 129*j + 7*j**2 + 137.\nAnswer: 3*(j - 27)*(j - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*h + 185 + 2514 = 0, -b = 4*h - 1317. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125173\/27 - -4635. Let p = -20\/27 + o. Find the common denominator of 83\/21 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 + 0 = 0. Suppose 2*d = -5*t + 148 + 32, 0 = c*d - 4*t - 224. Calculate the greatest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -332. Suppose -2*z - z = -j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.77607l?\nAnswer: 96776.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/13 - 200\/(-52). Solve -2*a - 4 = 0, -5*m + 0*a = z*a - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 0.2. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, x: 1, m: 1, g: 1}. What is prob of sequence kg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*k - 44561195 = -44576840 for k.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 + -158. Calculate the remainder when (-8 - (-1 + 1))*(-975)\/o is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4252 + 1?\nAnswer: -4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 8. Let u be n(6). Suppose -3*a + 2 = -u. What is the highest common factor of a and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhyhhwhhwhy?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -8. Let t be (-2)\/(-18)*3 + (-8)\/96. Let k = 5 - 9. Which is the nearest to z? (a) t (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(10\/(-32))\/(8\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 5*q**2 - 3*q**2)*(-4 + 1 + 6)*(-5*q + 0*q + 3*q)*(11 - 11 + 7*q).\nAnswer: -84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Suppose 2*l + 0*l = -18. Does 5 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*a**2 + 160*a**2 + 35*a**2 + 2 - 2*a**2 - 2 + (0*a - 4*a + 3*a)*(2*a - 2*a - a).\nAnswer: 152*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -1931, -4047, -6747, -9893?\nAnswer: -13347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b - 3. Let f(a) be the second derivative of 5*a**3\/6 + a**2\/2 - 36*a. Calculate 8*f(q) + 3*r(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2. Let t(d) = -44*d**2 + 4. What is 4*q(m) - 2*t(m)?\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 60096525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, 1 t, and 1 h when four letters picked without replacement from aiaatzathtai.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18881.235ms?\nAnswer: 0.0002185328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbxx when four letters picked without replacement from {b: 3, x: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -20. Let k = -5 - t. What is the units digit of 16\/5 + k\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3209808.\nAnswer: 2, 3, 7, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0 + 1 + 0 + 4*m - 6*m. Calculate u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 9*h + 8. Let k be x(-7). Let j be 5 + k - (2 - -1). Suppose 5*r + 18 = 3*i, 5*r - 5*i + 14 = 2*r. Put 5, 1, r, j in decreasing order.\nAnswer: 5, 1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Suppose 4*k - 25 = k - 4*h, h + 8 = 4*k. What is the units digit of 18*(k - a\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08265 + 3.84165. Let v = j - 0.059. Let i = 3.642 - v. What is i rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:23 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 11. Let x be z(-12). Let f = 9 + x. Let i be f\/40 - (-52)\/5. Calculate the highest common divisor of i and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -736370 * 121\nAnswer: -89100770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.387 and -64.2598.\nAnswer: 24.8685426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14943 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 145932889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/5)\/(-3) - 4521\/(-4795). Which is the second smallest value? (a) 2 (b) r (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r\/(r*r**(-1))*r*r))\/r)*r)\/r*r)**34*(r**(-1))**(-32\/3) assuming r is positive.\nAnswer: r**(542\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -823a (base 11) to base 12.\nAnswer: -63b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.77 - 2.77. Let w = 3 + -1. Which is the closest to 0.2? (a) 3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 9. Calculate c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 4. Let w(k) = k**2 + 5*k + 7. Let z be (-3)\/(-6) + (-44)\/(-8). Let j(v) = z*w(v) - 10*s(v). Find the first derivative of j(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40619 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846 divided by -1.\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -12498?\nAnswer: -2499.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -20, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.5 and 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2*(-2)\/(-4)). Let f be (-1)\/(1\/1) - -3. Let b be (-10)\/5 + f\/6. What is the closest to 1 in b, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 47*p**2 - 165*p + 281. Determine w(-43).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w + 39. Let r(d) = -23*d + 40. Let g(b) = 3*l(b) - 2*r(b). Let c = 11 + -4. Calculate the lowest common multiple of 6 and g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 31?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 3*w**2 + 2 - 2*w**2 + 3*w. Let i be x(3). Let n be 2100*(-602 + i)*1. What is n rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1000))\/(4*sqrt(18) + 5*sqrt(2)*2).\nAnswer: -30*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 41055.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {f: 1, x: 5, z: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 43. Let v(i) = -i + 5*i - s*i. Let z(w) = 2*w. Let d(q) = 2*q. Let b(h) = 2*d(h) - z(h). Calculate b(v(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*j**2 + 13*j**2 - 55*j**2 + 3 + 0*j + 29*j + 24*j**2 in the form m*j + z*j**2 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23794, 0.1, 16, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 7*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from djmec.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 285226807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7149394 not equal to 7149402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 497 = -3*y, -394 = -3*b - 0*b - 2*y. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 11*p**2 - 6*p - 15. Calculate u(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k. Let s(f) = -19*f**5 + 3*f**3 - f**2 + 65*f. Let u(y) = 3*n(y) + s(y). Find the second derivative of u(w) wrt w.\nAnswer: -380*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3589279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + q**2 - 2*q**2)*(-4*q**2 - 5*q**2 + 3*q**2) - 4*q + 4*q + 2*q**4 + (-6 + 6 + 4*q**2)*(2*q**2 - 6*q + 6*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, e: 2, h: 3}. Give prob of picking 2 n.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/540813 and 38\/273.\nAnswer: 540813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-9)*(-120)\/100)\/(624\/(-18) + -13)?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -202*i**2. Let r(t) be the third derivative of 0 + 0*t**3 - 32*t**2 + 0*t + 1\/24*t**4. Calculate r(f(z)).\nAnswer: -202*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -274, 9\/2, 1\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 52\/(-8)*(-3)\/(-6). What is the fourth biggest value in -0.5, 5, 2\/5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 811 = 2242. Suppose 226 = 11*b - q. Solve g = -3*g - 5*i + b, -28 = -5*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let f = -0.1 + l. Let h(n) = -n - 7. Let d be h(-8). What is the second biggest value in d, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p - 11*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 8. Let l be n(-11). Suppose f + 3*f + 5*a + 5 = 0, -25 = -l*f + 2*a. Solve -2*t + f = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f - 2. Let y(x) = -x - 2. Let u be y(-5). What is the tens digit of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 4*f - 3. Let b be y(2). Let c = b + 5. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, -3\/1729, -4 in increasing order.\nAnswer: -4, -1\/4, -3\/1729, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514348?\nAnswer: 2, 149, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 65*n - 3 = -6*j - 62*n, -j + 2*n + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2394\/(-133))\/(10\/15)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 1635 + 395*n**2 + 465 + 585.\nAnswer: 395*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*q + 43*q - 69*q)*(-2*q**4 - q**4 + 2*q**4).\nAnswer: 272*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/((-136)\/340)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1722280 = -1722274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 1313*i + i**2 + 109 - 332 + 116.\nAnswer: i**2 - 1313*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 55326 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 - r**2\/2 + 14*r - 3. Let p be w(-6). Let v = 94 - p. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*y + 7*y - 7, -2*f - 2*y = 8. Let l be (2 + f)\/((-3)\/(-1698)*-2). Suppose 9*x - 104 = l. Calculate the greatest common factor of x and 258.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 0 - (15 + -6 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 15*b + 2315. Let h(p) = 28*p**2 - 51*p + 8103. Give -17*a(r) + 5*h(r).\nAnswer: 4*r**2 + 1160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l + 7. Let m(k) be the first derivative of 55*k**2\/2 + 20*k + 5. Let t(g) = -2*m(g) + 7*u(g). What is the hundreds digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*i - 5, -i + 5 = u - 2*i. Suppose 23 = -u*y - 2*j, -5*y = -5*j + 37 - 7. Is y*(-37)\/10*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 2\/49 (c) 10 (d) 3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329047140?\nAnswer: 2, 3, 5, 41, 181, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-22) - 2\/28\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa5831 (base 13) to base 12.\nAnswer: -1415171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 6. Let j(g) be the third derivative of g**4\/6 + 31*g**3\/6 + 11*g**2. Let o(a) = 11*i(a) - 2*j(a). Give o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804079.7 micrograms to kilograms.\nAnswer: 0.0008040797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 912, 1807, 2700, 3591, 4480, 5367, 6252?\n\"Answer: -c**2 + 898*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 530014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*t = -16515, t - 1446 = -2*q + 9551. Does 50 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j - 12. Let w(n) = -n**3 - 85*n**2 + 187*n - 1352. Let t be w(-88). Suppose 1341 = g + 4*y, 4*g = -j*y - y + t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 2*u**5 - 2*u**5 + 0*u**5 - 2*u**5 + 3*u**5 - 221*u**2 - 20*u**5 + 221*u**2 + (-u**3 - 2*u**3 + 2*u**3)*(-2*u**2 + u**2 + 3*u**2) - 3 + 3 + u**5.\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**24*v\/((v**(4\/7)*v)\/v)*v)\/(v**(-2\/33)\/v)**(-2\/7) assuming v is positive.\nAnswer: v**(5804\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - i + 56, -2*i - 56 - 42 = -3*w. Let s = -26 + w. What is the tens digit of (-2*(-22)\/s)\/(4\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 48540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h. Determine f(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1018, 1006, 998, 1006, 1042, 1118, 1246?\n\"Answer: 2*u**3 - 10*u**2 + 4*u + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u + 6. What is j(7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -13*n**7\/210 - 11*n**3\/6 + 13*n**2\/2 + 1. Let b(h) be the second derivative of f(h). Differentiate b(w) with respect to w.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 7:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*f**3 - 627*f**3 + 268*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20533 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*l**4 + 50079*l**3 - 41889732.\nAnswer: 84*l**3 + 150237*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -201412*b**2\/7 + 86292*b + 576\/7.\nAnswer: -4*(b - 3)*(50353*b + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**4*i*i**5)**20 assuming i is positive.\nAnswer: i**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 627\/1026*-32*7\/(-308)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-5119 + 15*l - 5279 + 11809).\nAnswer: -15*l - 1411","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490684889?\nAnswer: 3, 229, 311, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w\/w**(-1\/12))\/w)*w*w*w**(-1\/14) assuming w is positive.\nAnswer: w**(155\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -1.2099.\nAnswer: -7.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/16)\/((-5)\/(-60)). Let h be (44\/6)\/((-4)\/(-6)). Let w = c + h. Solve -5*y - 2*v + 14 = 0, 1 = 3*y + 3*v - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36298, 36413, 36528, 36643?\n\"Answer: 115*o + 36183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -566\/7 - -81. Let l = 2.5 + -3. Let d(s) = s**2 - 617*s - 1235. Let q be d(-2). What is the nearest to -1 in l, u, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/(-6) + 1)*3. Let l = 51.89 + 2.11. Let g = 59 - l. Which is the closest to 0? (a) g (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 - -100?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 7. Give b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -9*j + 49, -56*j = 5*w - 58*j. Solve -f = w*k - 12, -28 = -8*f + 6*k - 5*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 23 - 43)*(3 - 3 + 4*k).\nAnswer: -192*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(1377) + sqrt(1377)*-4))**2 - 5*(sqrt(1377)*3 + 1).\nAnswer: -135*sqrt(17) + 49567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from {f: 4, q: 7, p: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 147*(-16)\/112 + -28\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:50 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125602460?\nAnswer: 2, 3, 5, 2084449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38294632 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: Let d = 106209\/86255 - 62\/1327. Let y = d - 18\/13. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12898 + 5\/(-2)*(-42)\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/44)\/(11\/44)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -399, -225, -7, 2 in decreasing order.\nAnswer: 2, -1, -7, -225, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 29*l - 1. Let x be (2\/(-4))\/((-1)\/4). Let b be n(x). Calculate the highest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69920 and 55820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 1636. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 2*o**3 + 10*o**3 + o**3 + 1 - 1 + (-3 + 3 - 2*o)*(-2*o**2 + 3 - 3) + 862*o**3 + 868*o**3 + 3 - 1728*o**3 - 25*o.\nAnswer: 13*o**3 - 25*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 204, 195, 182, 165, 144, 119?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1)*-6*5.\nAnswer: -30*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a*o**4 - 7112277*a + 283821*o**4 + 4 wrt o?\nAnswer: 48*a*o**3 + 1135284*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(11) + 1 + sqrt(11)))**2 + sqrt(11)).\nAnswer: -1620 - 145*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x*((x\/x**(1\/9))\/x)\/x))\/x)\/x*x*x**(4\/19) assuming x is positive.\nAnswer: x**(226\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2*i + 3*i. Let q(x) = x**2. What is q(d(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 48754.05 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -1\/84*v**8 - 1\/3*v**4 - 1\/15*v**5 - 4*v**2 + 0 + 0*v**3 + 1\/10*v**6 + 0*v + 2\/105*v**7. Suppose s(h) = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4259 + 4256. Sort -9, -6, f, 1, -4 in decreasing order.\nAnswer: 1, f, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037456 to the power of 1\/2, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 2*t + 12*t**2 + 58 - 113)*(-20 + 3*t**3 + 20).\nAnswer: 36*t**5 - 6*t**4 - 42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -426.8 + 427. Let x = 7 - 0. What is the second biggest value in x, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57966 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(84)\/sqrt(4) - sqrt(21))\/sqrt(3)*-3 + 5*((sqrt(560)*-4)\/sqrt(10))\/sqrt(8))*-6)**2.\nAnswer: 211932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 116954, 116946, 116938, 116930, 116922?\n\"Answer: -8*h + 116962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t - 77*t = 72. Solve -3*v + t = -0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156480 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595056766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993682.5 centuries to millennia.\nAnswer: 99368.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24954933193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -6*a + 13642, -a + 56*s = 55*s - 2282. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 70 = -3*m, -3*m - 40 = -y. Let f be (-18)\/m*(-600)\/18. Let g = f + 51. What is the remainder when 29 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let u = -10 + w. Let q = -111 - -114. Sort -2, u, q.\nAnswer: u, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 439\/9. Suppose 0 = 4*q + 5*h - 3715, -q + 2*h = -3*h - 935. Let g = q - 2746\/3. What is the common denominator of v and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y = 71*y - 308. Solve -y = -2*i - 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 341*w - 336*w + 15, w = -7*v + 15 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 619632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*d = -9*d + 18, 0 = -5*d + 5. Solve -i*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o + 6*o**2 + 21724245*o**4 - 1 - 3*o**3 - 21724245*o**4 + 1138*o**5 wrt o.\nAnswer: 68280*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3082.12 to the nearest ten.\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n - 10*n - 5*n - 5*n. Let t(o) be the first derivative of 2*o**3\/3 - 22. Determine t(i(p)).\nAnswer: 1800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 - 6 = 0. Let o be (-33)\/g + (-4)\/8. Solve 4*h + 6 = j, 0*j + 7 = -o*h + j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28416*n**2 - 25465*n**2 - 63*n + 63*n.\nAnswer: -53881*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 49473310?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 2*g**2 - 1. Suppose -4*p - 3 = 37. Let o be 2\/(-6) - p\/(-6). What are the prime factors of u(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17 - g**3 - g + 78*g**2 + 10 + 61*g**2 + 2*g**3 - 145*g**2. What is o(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2752\/280 + -10)\/(8\/(-10)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 8 + (4 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m - 2. Calculate l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:26 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5756132 is divided by 3453?\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 3, -7, -25?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + o = -3*y - 14, 4*y - 23 = 16*o - 21*o + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-3*2*(-2 + (sqrt(75) - (sqrt(75) + 1)) + -1))**2.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 2 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -12. Let j be (0 + 0)\/(-3 + 10). What is the second biggest value in f, j, 0.4, -8\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:25 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/(-96) + (-3)\/4 and 29\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5796.7912 and -6.\nAnswer: 34780.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03283390369 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4547\/632 - 45\/79. Suppose -171 = 5*p - 3*h, -5*h - 32 + 9 = p. What is the common denominator of (3 + p\/6)\/4 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 235?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171.5999998226 - 171.6. Round f to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 373 = 288 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 2*b**2 + b. Suppose -3*u - c = 35, -2*c + 40 = -6*u + 2*u. Let w = -6 - u. Suppose -5*f - 4*q + 26 = 0, -4*f + q + w - 1 = 0. What is n(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 2\/17 (c) -0.2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 7539*f + 0 - 2042*f + 0 + 9581*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 18161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.2, 4\/4173, -1, 2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127152 is divided by 730.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f + 2*v + 834, 2*v = -f - 210. Let h = f - -213. Solve -2*c + h*t - 6 = c, 0 = 2*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1*-1)\/((-4524)\/(-1508)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:57 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 6*s - 4*s + 15*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 372 = 84. Let l = 563 - 383. Calculate the greatest common divisor of l and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495367292 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 32*n + 28*n - 4285 = 0, -17266 = -4*u + 2*n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -341. Let d = 28 + r. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.000512 rounded to two dps?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 12. Let g be 2\/(-7) + (-58)\/(-7). Suppose 5*i + 21 + 19 = 2*l, 4*l = i + g. Let b be n(i). Solve -5*w = 5*q + 20, b*q - 6*q = -3*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - -23. Calculate the highest common factor of 42 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 58 (b) -1 (c) 1\/3 (d) -0.1 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -129*n**2. Let m(a) = 6*a - 5. Let d(w) = -5*w + 4. Let k(x) = -5*d(x) - 4*m(x). Determine y(k(z)).\nAnswer: -129*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -24. Let u be (8\/(-21))\/(b\/14). Suppose -6*w - 2 = 4. Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from ggckceg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-10) + 24\/60. Suppose -4*p - 6*s + 2*s + 72 = 0, d*s + 14 = 3*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5 + w - 3)*(13 + 25 - 25).\nAnswer: -13*w + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 232*z**2 - 465*z\/2.\nAnswer: z*(z - 1)*(z + 465)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -f - 5*u + 15, -5*u = -5*f + 175. Let o = f + -26. Let v be -2 + o + (-1)\/(-1). Solve -15 = -4*k - 3*s, -k - 2*s + 1 = -v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 + 5*u**3\/6 - 9*u**2\/2 + 110*u. Calculate a(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228090154 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233956651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 4) + 10 + -21 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -25*c + 12 - 6*c**2 - 7*c**2 + 33*c. Let x be q(8). Round x to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105\/8 + 1801\/136. Sort 0.1, -2, u in decreasing order.\nAnswer: u, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9155 is divided by 1282?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.103746 rounded to 1 dp?\nAnswer: 85.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 2 - 6 + 3 + 3*q + 3 + 3*q**3 to the form y*q**2 + u + j*q + o*q**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 65 (b) 2\/629 (c) 10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 23*m = 34*m - 8398798. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 124. Solve 16 = -3*t - 2*y, -5*y + n + 5 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = 1. Let k(z) be the first derivative of -z**4\/4 + 7*z**3\/3 - z**2 - 21*z - 31. Let a be k(6). Solve -2*x - 1 = 2*l - 9, -u = -a*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 8*t**2 - 20*t + 23. Let b(m) = m**3 + m**2 - 1. Let p(q) = -3*b(q) - v(q). Determine w so that p(w) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -33*x**3 - 1. What is m(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:37 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 - (0 + -1*(2 + -1)). Suppose 4*b - 68 = -o. Let p = 16 - 4. Do b and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-168)*-4)\/((-8)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 less than or equal to 12530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = 20. Suppose -5*y = j, 2*h + 4*y - 22 = y. What is the remainder when 21 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -3*g - 2, 0 = -g + 5*q + 2. Find the third derivative of -5*s**g + 5*s**2 + 11*s**4 + s**2 wrt s.\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 11*z**2 + 12*z - 7. Let t be b(12). Let j = t + 9. Let l be (1\/(-2))\/(2\/(-4)). Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 99*p**3 - 1083*p**2 - 4059*p.\nAnswer: 3*p*(p - 11)*(p + 3)*(p + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23935, 97326, 220171, 392470, 614223, 885430?\nAnswer: 1206091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 38*l = -30. Let b(n) = -5 - 2*n + n + 6*n**2 + n**3 + 2*n. What is the units digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1446220 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-94)*1\/((-3)\/(-63))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-13120)\/32) + 444\/440?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2 + 27. Let k be ((-7)\/(-70))\/((-14)\/(-56)). Put 0.1, n, k in descending order.\nAnswer: n, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 11*c + 60. Let f be k(-4). Solve -4*x - 20 = r, 0 = -4*r - f*x + 5*x + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yttt when four letters picked without replacement from fttfpytxttfttfptt?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180144 and 29048220?\nAnswer: 116192880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 859637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o + 16 = 0. Let i be o\/14 + (-207)\/(-63). Let b(c) = i*c - 3*c + 4 + 4*c + 3. Let v(k) = -3*k - 6. Give -4*b(p) - 5*v(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 22*b**2 + 439*b + 1863. Give w(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 6598\/(2\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12432*r - 3*d - 1 - 8 = 12429*r, 2*d + 30 = -6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 455, 740, 1105, 1580?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**21*(f\/(f\/f**(-2)*f))**(-3\/41) assuming f is positive.\nAnswer: f**(870\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61, -91, -107, -103, -73, -11, 89, 233?\n\"Answer: v**3 + v**2 - 40*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000090646 rounded to six dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Let s be m(0). Let h(x) = s*x + 0*x**3 + x**2 - 1 + x**3 - 1. Is h(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*b + 180 = 0, 3*j + 2657*b - 2655*b - 113 = 0. Calculate the lowest common multiple of ((-6)\/(-5)*2)\/(12\/40) and j.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*s*z**5 + 2*s*z**2 - s*z + 218*z**6 + 2668*z**2 wrt z.\nAnswer: -9120*s*z**2 + 26160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + (1 - -3 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/294)\/((-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:07 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85, -83, -81, -79?\n\"Answer: 2*j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*p = -8, j + 5 - 1 = 3*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4679 - -4588. What is the third biggest value in -0.1, 0, 0.5, w, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 340, -424, -4, -2, 0 in descending order.\nAnswer: 340, 5, 0, -2, -4, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -x - 7, 0*x - 2*j + 11 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5395.99996334 - -5396. Round u to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2484*m - 548. What is the units digit of o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/4, 2\/9, -0.1, 4, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:32 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 19}. What is prob of sequence hl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2286 and 2017014?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*-5*(-14)\/(-35))\/(30\/3600).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -941061, -3764229, -8469507, -15056895, -23526393, -33878001?\n\"Answer: -941055*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71072.\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*v**3*z**2 + 572*v**3*z - 2*v**3 - 147*v**2*z**2 + 1660*z**2 wrt v.\nAnswer: 246*z**2 + 3432*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1214, -2174, -3166, -4190?\n\"Answer: -16*r**2 - 912*r - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -7*c**5\/3 + 40*c**4\/3 + 5*c**3\/3 - 170*c**2\/3 + 92*c\/3 + 40\/3 = 0.\nAnswer: -2, -2\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147530 is divided by 366.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(144)*3 + sqrt(16))\/(sqrt(32)\/(sqrt(4) + (sqrt(324) - sqrt(4)))).\nAnswer: 4 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4563951 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s + 34. Let j(o) = 57*o - 204. Let b(l) = -6*j(l) - 39*y(l). Let q be b(12). Solve 5*f = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3 + 1001\/(-715)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*v + 19*v + 22 + 10 + v + v - 5*v + 5*v - 3*v - 3*v + (0*v + 0*v - 2*v)*(1 + 3 - 6) + 4 - v - 4 in the form o + t*v and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 117. Let l(f) = -16*f - 25. Let k(m) = 129*m + 201. Let b(j) = 4*k(j) + 33*l(j). List the prime factors of b(y).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67519004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -32*g**2 + 2*g. Let k(j) = -11*j. Determine d(k(p)).\nAnswer: -3872*p**2 - 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -524790 by -29155.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96 + -1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a80 (base 11) in base 5?\nAnswer: -4132343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 83999.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/120 + 7*q**4\/24 + 5*q**3\/4 - 2706*q**2. Factor f(h).\nAnswer: -(h - 15)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2097977 by -4.\nAnswer: 2097977\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*i**3\/2 + 255*i**2 + 126*i + 20 = 0. What is i?\nAnswer: -10\/13, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14718*((-390)\/650)\/(4\/10)?\nAnswer: 3, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:18 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 - 6*q + 11. What is the units digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -9*z**4 - 647*z**3 - 2889*z**2 + 3947*z - 402 = 0.\nAnswer: -67, -6, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/19 - 20*y**2\/19 + 54*y\/19 - 36\/19.\nAnswer: 2*(y - 6)*(y - 3)*(y - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 3*k)*(4*k - 1 - 4*k - k) + (1 - 1 - 2*k)*(5*k - 3*k - 4*k).\nAnswer: 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0\/d**(-6)*d**(-4\/5)*d**(-5\/6)*(d**1)**(-8\/9)\/(d**(2\/5)*d**0) assuming d is positive.\nAnswer: d**(277\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -42. Let k(i) = -i**2 + 17*i - 15. What is the tens digit of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 12033*l + 120239. Give o(10).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.7. Let k = p + -1. Is k < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-37 - (0 + -7 + (-42 - -90 - 26)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.073 (b) 1750 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k**2 - 22*k - 59. Let l(o) = 7*o**2 + 7*o + 20. Let t(p) = -6*d(p) - 19*l(p). What is t(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.2 - -13.195. Let b = 153 + -153.005. Let d = b - a. Is 0 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnwnynlwwjjjjlln. Give prob of sequence jn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61 + 0.11. Let l = 1 - 0. Let g = l + n. Put g, 4\/3, 3 in descending order.\nAnswer: 3, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7019 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 24. Let k be l(13). Suppose -k*p + 9 = -29. Solve p = 3*a + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*v - 89*v + 1770 = 0 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33790 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7910, -336, -14078, -33316?\nAnswer: -58050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -4, 3, 1, -3.\nAnswer: -78, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 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: Is 10 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 14*j - 485. Let v be m(30). Let b be (-3)\/21 + (-57)\/(-7). Sort -2, b, 4, v in decreasing order.\nAnswer: b, 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -846 and -61.5?\nAnswer: 52029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*t - 30*t**4 - 143*t + (4*t - 4*t - t)*(3*t + t - 3*t)*(t**2 + 0*t**2 + t**2).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - 6*k**2 - 2*k**2 + k**2. Let i(d) = -8*d + d - 11 + 5*d**2 - 4*d. Let y(b) = -b**2 + 2*b + 2. Let r(l) = 2*i(l) + 11*y(l). Determine r(v(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283007980 is divided by 406.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*z. Let k be (z\/(-9))\/((-3)\/18). What are the prime factors of (3 - k) + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 7696?\nAnswer: -3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1293 + 2189. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 61452a?\nAnswer: -614530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + ((sqrt(304) + (sqrt(304)*-1 + sqrt(304) + sqrt(304) - sqrt(304)))*4 - sqrt(304)) + sqrt(304))*-5 - ((sqrt(304) + -2)*5*3 + 5))**2.\nAnswer: -2800*sqrt(19) + 372500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5))**(-4\/23)*((b\/((b*b**(-2\/5))\/b*b))\/b)**(-3\/8) assuming b is positive.\nAnswer: b**(-753\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 33.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15429 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19246 + 19237. Let z(n) = -13*n**3 + 4*n**2 - 9*n + 11. Let f(p) = 6*p**3 - 2*p**2 + 4*p - 5. Give h*f(o) - 4*z(o).\nAnswer: -2*o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -29. Suppose -20*v + 21*v = 36. Let x be v\/p - 2\/4. Calculate the greatest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15864, 15107, 13838, 12051, 9740, 6899, 3522, -397?\nAnswer: -4864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1378134 and 174.\nAnswer: 39965886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/312 and 93\/64.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/63)*j)*(j*j*j**(1\/15))\/j*(j**12*j)\/(j**(-42)\/j))**(7\/4) assuming j is positive.\nAnswer: j**(8993\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1681283*a - 8406404. Give s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(319\/(-66))*-17845000. Round t to the nearest one million.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05311 + 1.55?\nAnswer: 1.49689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6 - -5)\/(-5 - 0).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -19594?\nAnswer: -17\/19594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10239\/1400 + -33\/175. Let h = -77\/30 + -23\/5. Find the common denominator of h and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*t - 2*x + 44, -5*t - 4*x + 112 = 0. Calculate the lowest common multiple of t and (6 - 3)\/((-3)\/(-76)).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 65 = -4*d. Let r = 30 - d. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 31 + 34 - 69?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45417 + -16354. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 24*a**3 - 2*a**2 - 24*a**3 - 6*a**4 to the form h + s*a**2 + l*a + t*a**4 + n*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-17)\/6 - 64\/(-48))*(-5232)\/18 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 11a?\nAnswer: -11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636 - -651. Which is greater: n or 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5807291 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -71c (base 16) in base 4?\nAnswer: -130130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a**5 + a + (-3*a + 5*a - a)*(3*a**4 + 3*a**4 - 4*a**4) - 4990*a - 7*a**5 + 4990*a + 23*a**2.\nAnswer: -6*a**5 + 23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*r = -3*r - 999, -r = -5*w - 1667. Let l = w - -182. Which is the second biggest value? (a) l (b) -3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-6))\/((-4)\/13584*4).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 18 + 2 = 0. Let m be g\/35 - (-177)\/7. Suppose 15 = 3*r + 2*d, 0*r - 5*r = -5*d - m. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/15, -0.1, -1\/8, 1.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -2*z**4 - 8*z - 10. What is the first derivative of y(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 27386 + 3*g**2 - 13*g**3 - 27387 - 34*g**3 + 54773.\nAnswer: -47*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (9 - 9) - 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 2*c**5\/5 - 3*c**4\/2 + 4*c**3\/3 - 7. Factor y(s).\nAnswer: 2*s**2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123200 (base 5) to base 2.\nAnswer: -1001011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45956.\nAnswer: 2, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39315 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/20, 92, -3, 2\/17, -1.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736 (base 11) to base 10.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(-2 + (2 + sqrt(1700))*-5 + -2 + sqrt(1700) + -2 + -1))**2*-5.\nAnswer: -35185920 - 1740800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y = -93, 0*k - 3*y - 166 = -5*k. Let u = k - 20. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74544?\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44073.96 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7156016 divided by 4?\nAnswer: -1789004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1864833, -7459535, -16784103, -29838543, -46622861, -67137063, -91381155?\nAnswer: -119355143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:03 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30864 and 15?\nAnswer: 154320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x + 36. Calculate r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -5*n**7\/42 + 3*n**4 - 593*n**3\/6 - 3*n - 58. Find the second derivative of p(z) wrt z.\nAnswer: -100*z**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 = 4*d. Calculate the smallest common multiple of 3 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22529979 and -79\/774.\nAnswer: 45059958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8394 + 0.8394. Let n = 0.1 + 4.9. Which is the closest to -4\/7? (a) t (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 3*i**2 + 12*i - 8. Let m be b(-6). Suppose -2*n - 5*n = -m. Calculate the common denominator of 29\/36 and n\/18 + -4 + 3995\/450.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 11*h + 4. Calculate d(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3880, -342, 5554, 13808, 24420, 37390?\n\"Answer: 1179*l**2 + l - 5060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000249841 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 359959, 359967, 359973, 359977, 359979, 359979?\n\"Answer: -y**2 + 11*y + 359949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:13 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3482 + 9145 = 0. Suppose -2*h = -4 - 4. Suppose h*v + t = -7791. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/64475 and -87\/33428998.\nAnswer: 835724950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.8. Let f = 97\/2 + -869\/18. Which is the biggest value? (a) u (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**2*i**3 + 7*c**2*i**2 + 8*c**2*i - c**2 - 452*c*i**2 + c + 126*i**3 wrt c?\nAnswer: 38*i**3 + 14*i**2 + 16*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -887 - -872. Suppose 3*h - 87 = 2*s, -4*s + 0*s - 147 = -5*h. Let b = h + o. Solve 0 = -y - 4*d + 15, 2*y + d = -y + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*v + 2. Let u = v + 43. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42218 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 7*j - 4*v + 29, 0 = 6*j + 4*v - 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 604.2165ml?\nAnswer: 0.6042165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 2*w + 42 - 52.\nAnswer: 2*w + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 4*g**2 - 2*g - 5. Let b be w(-5). Suppose 68 = 34*v - b*v. What is the derivative of v*h - 21*h + 17 + 14*h wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 - 0.01. Suppose 0*t = 4*t + 96. Let l = t - -119\/5. What is the second smallest value in l, w, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6388480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7+-0.5766\nAnswer: 6.4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000283 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1086\/14911 - 4\/481. Which is smaller: a or 110?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718223?\nAnswer: 11, 65293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(204)*-1*-6)\/((sqrt(120)*-2)\/sqrt(10))*6.\nAnswer: -18*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 4*i**2 - 1 - 3*i**2 + 0*i**3. Let c be m(-1). Find the third derivative of -1 + c + 2*f**2 + f**4 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 35*y**3 - 88*y - 706. Let x(d) = 111*d**3 - 263*d - 2118. Let o(g) = -19*k(g) + 6*x(g). Differentiate o(u) wrt u.\nAnswer: 3*u**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 3*i**4\/4 - 5*i - 31. Let u(y) = -55*y**2. Give t(u(o)).\nAnswer: 27225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680971 is divided by 6364.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 164 = 2*d - 0*d, -3*d = 5*b - 220. Calculate the highest common factor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(200) + (0 + sqrt(200))*-3 + (sqrt(200) - (2 + -1*sqrt(200))**2) + 2 + (-6*(sqrt(200) + -1 + -1 + -1))**2.\nAnswer: -2130*sqrt(2) + 7324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181533, 181538, 181543?\nAnswer: 181548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 3*o**2\/2 - 5. Let z(t) = t**2 - t + 1. Let b(r) = r**2 + r - 1. Let j(g) = b(g) + z(g). Calculate j(y(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let j = -63 - -33. Does 15 divide w*(-32)\/20*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 10\/4)*2. Suppose -f = j*f. What is the units digit of (f - -3) + 1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 729 - 729.2. Let l = 3.61 + -0.61. Which is the nearest to s? (a) 1 (b) -0.4 (c) l (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136*v**2\/5 + 885659*v + 32561\/5.\nAnswer: -(v - 32561)*(136*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11\/1110717, 4, 2\/9 in ascending order.\nAnswer: 11\/1110717, 2\/9, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and -119\/426.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, x: 7}. Give prob of picking 2 x and 1 l.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -26. Let l(v) = 2*v - 8. Let a be l(m). Suppose -a*t = -t. Solve 6 = -t*z - 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6047965l in millilitres?\nAnswer: 604.7965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 5. Suppose -3*x - 5*t - 1 = -0, 4*t + 2 = -2*x. Suppose -x*b = -1 - 8. Calculate f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 31*r - 1. Calculate p(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25917 and 2.\nAnswer: 51834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*d - 52 = 166 + 54 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22087 take away 2204344419?\nAnswer: -2204366506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 356104 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/x**(15\/4))\/x)\/x*x)\/x)**6 assuming x is positive.\nAnswer: x**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.538 - 1.938. Let n = 25 + -25.3. Which is the nearest to -1? (a) l (b) n (c) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + l**2 + 5*l**2 + (-3*l + l + 3*l)*(-3 - l + 3) + 3*l**2 + 3*l**2 - 4*l**2 + (l + 4*l - 3*l)*(-1 - 2*l + 1).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 43503*l**2 + 43495*l**2 - 86994*l**2 + 2*l.\nAnswer: 4*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/148 - 26\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*v + 150*v - 25*v)*(5 + 5 - 4)*(-10*v**2 + 20 - 20) in the form l*v + m*v**3 + j*v**2 + s and give m.\nAnswer: -3720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(8 - 6) + (163 - (-6 + 3)). What is the highest common divisor of 2465 and l?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -27. Let p = s + 7. What is the third biggest value in -5, p, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + -2089?\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -173*a - 6739. What is the units digit of j(-52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2 (c) -297 (d) 547\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 103. Let x = b - 34. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -5*r, -11*r - 2881246 = -3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2951*v. Let i(r) = 625*r**2. Give y(i(c)).\nAnswer: -1844375*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*k - 351 - 220 = 0. Let m = 0.2 + -0.1. What is the nearest to k in 0.08, m, 2\/9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 4. What is z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -295.302? (a) 3 (b) 1\/2 (c) -1\/6 (d) -0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78152440 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -187. Suppose -u*q + 5*o = 6 - 4, 0 = -5*q + 5*o - 5. Let c(l) = -l**2 + l. Let d(m) = 2*m**3 + 3*m**2 - 4*m + 1. Determine q*c(p) - d(p).\nAnswer: -2*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -42*r**3 + 8*r**2 - 7*r - 6. Let u(f) = 126*f**3 - 23*f**2 + 20*f + 17. Determine 17*d(a) + 6*u(a).\nAnswer: 42*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 802, 805, 808?\n\"Answer: 3*w + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5301471 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 542\/181973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(34)\/sqrt(2) + (sqrt(17) - (sqrt(272) + -1)) - (0 + sqrt(17) + sqrt(17))*-2*-6)**2.\nAnswer: -42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73541 and 0.11.\nAnswer: -8089.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from lxllxlxxlxllx.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 941, 1540, 2281, 3212, 4381?\nAnswer: 5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1\/2*-10. Let n = -1 + z. Suppose 4*q = -n*d + 8, d - 3*q - 2*q = 32. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 1177.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -4. Suppose 2*l - l + j*x + 6 = 0, -24 = -4*l + 4*x. Solve -2*k - 18 = 2*o + 2*k, l*k + 21 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiddddddddddijddii?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1457*x + 385?\nAnswer: -1457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose 2*m = -2*l + 4, 5*m + 0*m - 2 = -l. Suppose -114 = -i*v - m*v. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.209215 times -0.05\nAnswer: -0.01046075","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is v in 38*v**4 - 67*v + 406*v**2 + 664*v**3 - 48*v**4 - 201*v = 0?\nAnswer: -1, 0, 2\/5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803726 divided by 3?\nAnswer: -601242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/9 + 4130\/126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b - 3. Let p be o(-5). Let h(q) = q**3 + 4*q**2. Let d(t) = -t**3 - 2*t**2. Give p*h(a) - 5*d(a).\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13590677 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - (-27)\/(-6). Let j(q) = 0*q - 3 - 3*q + 2*q. Give j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 181?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -0.11.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132370.\nAnswer: 2, 5, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2 and 79\/249150?\nAnswer: 249150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(4 - 2 - 4)*(-508*i**2 + 104*i**3 - 13*i**3 + 508*i**2).\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/1)\/((295\/1062)\/(75\/(-9)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, g: 2, t: 2}. What is prob of sequence ytg?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3050554 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 7*w**2 - 3*w. Let x be (-6399)\/9 - -8 - 7. Let o = x + 718. Calculate u(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 9. Suppose k*t - 3200458 = 5259542. Round t to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12260 and 3300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2030 + 1036*r - 1047*r + 958 + 1072.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 56. Let p be l(21). Let u = p - -6. Which is bigger: -0.2 or u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44678 bigger than -44683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 42. Determine r(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**8\/20160 - k**6\/144 - 7*k**5\/30 + 30*k**2. Let r(m) be the third derivative of v(m). Determine r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101221 + -10121011100?\nAnswer: -10022202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 67. Let h(i) = 19*i. What is h(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {y: 1, i: 1, e: 1, h: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5534*w**3 - 2*w**2 + 11*w - 32226310 wrt w.\nAnswer: -16602*w**2 - 4*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*r = -25, 2*f - 7*f - 10 = -2*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/13 + 281760*c\/13 - 9923587200\/13 = 0. Calculate c.\nAnswer: 70440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a2 (base 11) to base 9.\nAnswer: -2870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/(1\/6). Let f = -4 + 9. Suppose 0 = 2*x + 5*g + 12, -2*g = -2*x - f*g - 8. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/4 + 5028*v**2 - 9458235*v\/4 - 4739175\/2 = 0. What is v?\nAnswer: -1, 510, 6195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8674726298 to the nearest integer?\nAnswer: 93138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 1, b: 3, w: 1, c: 3, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390437 by 1.\nAnswer: -390437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11734851 - -16434851. Let w be ((-2)\/2)\/(20\/(-8) + 2). Suppose w*s = s + n. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0015*0.2.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p + 2 = -r, p = 2*r + 1. Let l be (-10)\/(-15)*(p - 2). Let c be l\/(-4) + 645\/10. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6598 and 81567775.\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 670019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 y when three letters picked without replacement from dqyd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let q be 6\/21 - (-142)\/(-7). Let r = -18 - q. Solve -p - y = r*f, 2*f - 4*f - 7 = -p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v - 5. Let t be y(2). Let n be -39 - t*(-2 + -1). Let d be 62\/n + 33\/22. Which is the second smallest value? (a) d (b) -2\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + (271 - 265).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -17*u + 44*u. Sort -7, -2, 0, u in decreasing order.\nAnswer: 0, u, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561516 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*y + 31034 = -7865 - 1301 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2*(-2)\/8). Let n be 4*(0 + m\/4). Let l(h) = 2*h**n - 4 - 7*h**2 + 2*h**2 - h**3. Determine l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38918197?\nAnswer: 38918197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 12*o**2 - 26*o + 22. Let c be w(-9). Solve c*k - 9*k + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m. Suppose m = -r - 4*r. Let l(s) = s**3 - 2*s**2 - 14*s + 1. Let o be l(0). Put -2, o, r in decreasing order.\nAnswer: o, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39404965*g**2 + 6270*g - 3588?\nAnswer: 78809930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2 + 4. Let u be 2 - 9\/i - -6. Suppose 12 = 5*x + b, u*b + 11 - 27 = -3*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 46. Give s(-11).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 42, 89, 154?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*q**2*v**3 - 22*q**2*v**2 + 18*q**2*v - 225*q + 88442*v**3 - v**2 + 5*v wrt v?\nAnswer: -138*q**2 + 530652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 368697800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 3*n + 73, 23*b - 805 = 200*b + 5*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 219*d**2 - 2767*d + 865. Determine x(-231).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15393489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y. Let t(i) = i. Let x = -13 - 5. Give x*t(v) - 4*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11 - 12*y**2 - 11 + y. Let t be h(1). Let j = t - -20. Calculate the smallest common multiple of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -808.6 and 0.1054?\nAnswer: -85.22644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53692.06l?\nAnswer: 53692060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*p + 5 - 3 = 0, 3*p = 2*n + 2. Let u be -17 - 1\/n*1. Let s = u + 50\/3. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 - c - 1. Let p(g) = 5*g**3 + 5*g**2 - 8*g - 24. Let q(k) = 6*l(k) - p(k). What are the prime factors of q(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 + 382. Solve 7 = i + 2*l, 3*i = -26*l + 31*l + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 45 + 3. Let w(o) = -o**2 + 2*o - 6. Let g be w(l). Is 26 a factor of 21\/(-14) - 42\/8*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20368, -21222, -22076?\n\"Answer: -854*s - 19514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - b. Let a(f) = -63*f**3 + 42*f**2 + 42*f. Give -a(r) - 42*j(r).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-227 - -165) - -60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, k: 2}. What is prob of sequence nnn?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 969404?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -109, -397, -885, -1579, -2485, -3609, -4957, -6535?\n\"Answer: -x**3 - 94*x**2 + x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74299 (base 11) in base 9?\nAnswer: -174328","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 55134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2 + 6*y + 1. Let j = 7\/64 + 203\/192. What is the common denominator of a(-4) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67583 is divided by 2842?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/60 - a**4\/6 + 2*a**3\/3 - 2*a**2. Let q be l(3). Suppose q = y - 32. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*l - 50 - 42 = 0, -l = -4. Let g = r - -19. Which is the third smallest value? (a) -3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 23*k**5\/90 - 95*k**4\/54 + 3*k**3 - k**2 + 37*k - 24. Factor i(r).\nAnswer: 2*(r - 3)*(r - 1)*(23*r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 3*13\/3 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 798369342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 33. Let b(g) = g**2 - g - 3. What is the remainder when s is divided by b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -39*o**2. Let c(t) = 239*t**2 - 16*t - 136. Let h(f) = 2310*f**2 - 154*f - 1309. Let d(i) = -77*c(i) + 8*h(i). Give 7*b(g) + 4*d(g).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082\/(5489\/781 + -7).\nAnswer: 71, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:48 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172, 347, 532, 733, 956, 1207?\n\"Answer: w**3 - w**2 + 171*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458844.8 rounded to the nearest ten thousand?\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1799 times -24\nAnswer: -43176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 9*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**3 + 5*a**2 + 341*a - 1985. Determine y(6).\nAnswer: -2135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + -2))**2 + 3 - (1*sqrt(704)*6)**2.\nAnswer: -25337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.65 - 0.65. Which is the third smallest value? (a) i (b) -5 (c) -1\/10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-5)\/60*-6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/4 - 3*g**2\/4 - 3*g\/4 - 3. Let u(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/12*(-544)\/102. Let q(y) = 2*y - 1. Let g(c) = -2*c + 2. What is p*q(j) + 3*g(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9597*j - 5103 = -9606*j. Calculate the highest common divisor of 45 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g\/(g**(1\/5)*g)*g)*g**(-2\/3))\/((g**(-2\/5)*g)\/(g**(-5\/3)\/g)) assuming g is positive.\nAnswer: g**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3276 + 36038\/11. Factor -16\/11*r**4 + x*r**5 + 12\/11*r**3 + 0 + 80\/11*r**2 + 50\/11*r.\nAnswer: 2*r*(r - 5)**2*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:58 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 + -529. Suppose 5*g - r = 891. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 152 + 128 - 312 + 2*k. Let d(p) = 3*p - 45. Let t(g) = -5*d(g) + 7*i(g). Suppose -2*v + 8 - 23 = c, 0 = -5*v - 20. Calculate t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -29\/3, -150.9 in increasing order.\nAnswer: -150.9, -29\/3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i - 1. Let w(s) = -s**2 + 6*s. Let j(o) = -2*f(o) - 3*w(o). Let m be j(6). Let l = m + 15. Solve -p - l*r = p - 33, -32 = -3*p - 4*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Suppose 2*o + 3*r = 7, -r = -k*o - 0*o - 13. Let w(d) = 2*d + 13. Let h be w(o). What is the highest common factor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4063 + 8127 - 8*u**2 - 4064.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-17)\/(-2))\/((-24)\/1632)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 5*f**3 - 3*f**3 + 0*f + f**3 + 4*f**3.\nAnswer: -3*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/7 + 138248*u\/7 + 434632 = 0.\nAnswer: -22, 69146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.01 to the nearest integer.\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -4 - 5) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from bbkibkbxiffbbbbcbk?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34904741 to the nearest integer?\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) -4\/7 (c) 1 (d) 5 (e) 3 (f) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t. Let r(c) = 53 - 53 - c. What is k(r(j))?\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 3, 26\/27, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -145909215 divided by 15\nAnswer: -9727281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.475050553 to 5 decimal places.\nAnswer: -1.47505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8821.986cm?\nAnswer: 88219860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*c, -i + 26 = 4*c - 0*c. Let q = 48 + -34. Suppose -4*l + q = -g, -8 = 2*l - 6*l + 4*g. What is the lowest common multiple of i and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*28.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4)*h*h*h)\/(h*h*((h*h**4)\/h)\/h*h*h))\/(h\/((h\/h**(-1\/4))\/h)*h)**(-45) assuming h is positive.\nAnswer: h**(287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 11 + 115*a + 25*a.\nAnswer: 140*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240 + -5041\/21. Let p = l + -17\/84. Let r = 13374.2 + -13374. What is the closest to p in 0, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346497470 a multiple of 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 4 + 4 + -9. Suppose 0 = l*t - 56 - 26. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxffxxfffxxfxf. What is prob of picking 3 f?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 14) in base 13?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z)**5*((z**(-1)*z)\/z)**(-4\/3)*(z**(-3)*z**(-7))\/(z**(-1\/5)*z**(-8)) assuming z is positive.\nAnswer: z**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227\/345 + -4\/69. Suppose -1 = 18*s + 143. Let v be -2*(65\/(-10) - s). What is the second smallest value in v, f, 0.4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5398214 take away 22.61709?\nAnswer: -5398236.61709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, -711 in descending order.\nAnswer: 0.2, 0, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let s(b) be the third derivative of 0*b + 0*b**3 + 0 - 1\/15*b**5 + 0*b**4 + 2*b**2. Calculate s(h(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37207300 to the nearest integer?\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920766869 to the power of 1\/2, to the nearest integer?\nAnswer: 43827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13*1\/39)\/((-2)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:00 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + f - 630, -f + 0*f = 5*v + 640. Let r = -127 - v. Solve r = -4*u + 6 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -205. Let f be (u - -3)*(-75493 - 7). What is f rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302021322 + 11?\nAnswer: 2302021333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by 2?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 161*j + 3034. Determine o(-37).\nAnswer: -2923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 359562 divided by -3\nAnswer: -119854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*o + 3137, -3*f + 8*o - 5*o = -3135. Suppose -p + f = 5*k, -p - 162 = -4*k + 666. What is the remainder when k is divided by 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((8 - -1) + -8)*(0 - 0). Let f be p\/((-3)\/18*-6). Let v be (-4)\/(-6)*(-21 + 15). Sort v, f, -3, 8 in decreasing order.\nAnswer: 8, f, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3\/3 - 15*w**2\/2 - 30*w - 22. Let c be y(-12). Solve 3*o - c*a + 2*a = -7, -o = -a + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*j**2 + 193*j**3 - 384*j**3 + 1345*j**2 - 694*j**2 - 414*j**3.\nAnswer: -605*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 - (-4 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-80)\/36)\/2 - 98865\/(-405). Solve -7*x - o = 20*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/8)*n)\/(n**(-1\/3)*n*n))\/(n**2)**(-9\/11))**(12\/13) assuming n is positive.\nAnswer: n**(223\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -126, -306, -512?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 196. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(9\/(-12))\/(-1). Suppose -2*b + 5 = -d*b. Let n(h) = 10*h - 7. Let k(x) = -7*x + 5. Let q be 150\/(-21) + 0 + (-1)\/(-7). What is b*n(t) + q*k(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/11 - 24*b**2\/11 + 82*b\/11 - 60\/11.\nAnswer: 2*(b - 6)*(b - 5)*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -17*p**4 + p**2 + 6*p - 95. Let m(j) = j**4 + j**2 - j + 1. Let f(d) = 6*m(d) + t(d). What is the first derivative of f(w) wrt w?\nAnswer: -44*w**3 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 4337, 14644, 34721, 67826, 117217, 186152, 277889?\nAnswer: 395686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 53*t**2 + 53*t + 46. What is i(-52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1386414*x - 9704892. Give y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2482709\/344134 - 2\/24581. What is the common denominator of -143\/6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 1893008888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1)\/(-2)) + -9*33790\/(-68076) + -3\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > 9259449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n - 10*n - 38. Let k(d) = d - 9. Let v(l) = 1. What is n*k(o) - 18*v(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 7028496 and 7028431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2872 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51987 times 6763?\nAnswer: 351588081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 10*f - 15. Suppose -f*g - 4*d + 10 = d, 5*g - 8 = -4*d. Suppose g = q + 3, -2*s + 9 = 3*s + 2*q. Solve 3*v = -o - 20, -4*v - 8*o + s*o = 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-4)\/592). Let g = -17 - y. Let n = g - 41. Calculate the remainder when 78 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - f + 0*f - 13 = 0, -8 = -3*t + 2*f. Suppose -5*n - 4*z = -t*z - 11, -12 = 4*z. List the prime factors of 2 - n - (-1004)\/4.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = -19*w - 32*w + 85994. Calculate the remainder when w is divided by 106.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75554386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(126)\/sqrt(2)*-2)\/sqrt(9).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -888.2589 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5048698 + 207.03187.\nAnswer: -5048490.96813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23144308 divided by 22\nAnswer: -1052014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159126 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -4, -13, -36, -79, -148, -249?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:42 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let g = 2.1 - c. Let m = g + 0.3. Put -0.3, m, -2\/11 in ascending order.\nAnswer: -0.3, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/578)\/(90\/40)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**4*g**3 - 1859*b**3*g**3 + 2*b**2*g**2 - 701*b**2*g - g**3 wrt b.\nAnswer: -168*b*g**3 - 11154*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12464 divided by 77.\nAnswer: 12464\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/17 (b) -0.05 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/6 and 47\/3*(-6)\/(-32)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12.86913?\nAnswer: 12.86913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 86, 170, 254, 338?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -1.1. What is the third smallest value in h, -1\/3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 + 316*i\/5 + 1104 = 0. What is i?\nAnswer: -138, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from {g: 4, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -7 - 4\/2. Let n(h) = x*h + 4*h**3 + 3 + 4*h**2 - 3*h - 3*h**3 + 0. Give n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-113 - -80) - 63\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 8639895?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose u = 5 + v. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -6)\/(2\/(-30)). What is the units digit of w\/(75\/20) + (0 - -470)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13957262 and 12030?\nAnswer: 13969292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - 2*r**2 + 25. Let f(o) = -o**3 - o**2. Calculate 2*f(g) - t(g).\nAnswer: g**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273354 and 1218.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:31 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q. Let c be (-9)\/(-3) + (1 - -1). Let j(d) = -c*d**2 + 0*d**2 + d**2. What is b(j(n))?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 3. Let t be i(-1). Calculate the common denominator of (-402)\/(-12) - (t - 0) and 29\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192371682 by 3.\nAnswer: 64123894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t**3 + 2*t**2 + t. Suppose c + 3*m = -14, 2*c - 4*m = 4 - 2. Let a = c - -4. Determine k(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 673*p - 673*p - 21*p**2 + (-p**2 + 0*p**2 - 2*p**2)*(-3 + 2 - 1).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 123398.26 to the nearest one thousand.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/18)\/((-1)\/(-2)). What is the derivative of 3 - 7 - 5 - q*b + 10*b wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/7)\/d)\/(d\/d**(2\/5)))**(-5\/12) assuming d is positive.\nAnswer: d**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-31 + 24*a**2 + 31)*(5*a - a - 5*a) - 3*a**3 + 8*a**3 - 3*a**3.\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in 0, -1\/3, 1\/3, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 364*f - 192. Calculate the lowest common multiple of 4 and l(2).\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*l - 1 = -6, -2*l - 4 = -5*c. Suppose -6 = -2*g + 4, -2*s + 4*g = 22. What are the prime factors of c*72\/4 + s + 3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 46 = 11. Let x(z) = -z**2 - 13*z + 3. Is 9 a factor of x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 130 = 3*h, -2*o - 307*h = -306*h - 44 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 645 = 20997. List the prime factors of i.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 2*u - 5. Let k be b(0). Let h be (-2)\/4 - (-3)\/(-2). Sort k, h, 5.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1666)\/34)\/(-147)*(-36)\/51?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5814*l - 156900. Calculate w(-27).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*x**3 + 19*x**2 + 769*x**3 + 23*x**2.\nAnswer: -2*x**3 + 42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**7\/168 - r**6\/72 - 7*r**3\/3 + 11*r**2. Let o(d) be the first derivative of c(d). Factor o(b).\nAnswer: 5*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1198925\/397 or 3019?\nAnswer: 3019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20029*d + 18842*d - 6669*d to n + a*d and give a.\nAnswer: 32202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10*n**2 - 56 + 19*n**2 - 3*n**2 + 69.\nAnswer: 26*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980001470 to the nearest integer?\nAnswer: 31305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 262 and 394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 9. Let v = k + 18. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + 4*f + 7. Let t be j(-7). Let n = t - 55. Which is smaller: n or 23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + 3.14. Is o < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661006, 661008, 661010, 661012, 661014?\nAnswer: 661016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2445 - (3 - 2)*-1. Let v be ((-24)\/(-16))\/(1\/t). Suppose 3*a = v + 114. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 115*y - 4. Let f(h) = 4*h**2. Give z(f(x)).\nAnswer: 460*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 - 7*n + 6. Let u be o(-6). Let x be (16\/u)\/((-4)\/(-6)). Let g be (-15)\/(-6)*(1 + 1). Solve -g*t - 15 = -x*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let u(p) = 10*p. Suppose -4*b - 11 = -15. Let j(r) = -r. Let w(h) = b*u(h) + 12*j(h). What is w(f(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -2211210220012102?\nAnswer: 2211210220012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 23582.8.\nAnswer: -9433.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 92\/5 (b) -21 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 4*g**2 - 3*g - 2. Let w be y(-2). Let d(c) = -2671*c - 16014. Let j be d(-6). Solve -8*f = -w - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 18. Let i be h(-18). Let m = i - -6. 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: What is next in -45, 833, 3607, 9237, 18683, 32905, 52863?\nAnswer: 79517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3267721, 6535439, 9803157, 13070875?\nAnswer: 16338593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjujjuuu. What is prob of sequence uj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggaggxaggtaaa. Give prob of picking 1 t and 2 a.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9067*v + 36551*v - 9074*v - 9106*v - 9216*v.\nAnswer: 88*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42206258084 and 18.206.\nAnswer: -42206258065.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1489, -1.5, -6?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 199*d - 3373. Determine v(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let k(m) = 15*m**2 - 2*m + 2. Let t(d) = -119*d**2 + 17*d - 17. Let q(y) = -34*k(y) - 4*t(y). Calculate u(q(l)).\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n + 44. Determine c(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.0971 - 0.0971. Suppose 3*z - 6*z = 0. Let t = 4 - 3.7. What is the nearest to 0 in g, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 28 = 3*b. Suppose -5*s + 762 = 4*c - 59, 1060 = b*c - 5*s. What are the prime factors of c?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2783, -30, 3?\nAnswer: 2783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 2*y**2 + 0*y**2 + (y + 0 + 0)*(-y + 5*y - 2*y) + (-360*y - 374*y + 741*y)*(9*y - 3*y - 2*y) as x*y**2 + n + t*y and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -8.7. Let f = -844.965 - -852. Let x = f - g. What is x rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 1. Let c be f(1). Suppose c*a = 8*a - 2. Suppose 3*p - 7 = -a. Solve -4*s + p = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c - 1. Let r(o) = 23*o - 5. What is 9*j(n) - 2*r(n)?\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 - z - 4. Let d be n(3). Let p = -444 - -444. Solve 2*s - d = -g, -g + p + 2 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710250 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-12))\/(6*(-3)\/24). What is the closest to 1 in j, 2\/11, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31746136 (base 8) to base 2.\nAnswer: 11001111100110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 6, s: 1, y: 5, r: 3}. What is prob of sequence ylq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 4*p + 1. Let k be t(-3). Let o = 29 - k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*t = 2, -t = 8*c - 5*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.56404 millennia in years?\nAnswer: 23564.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -156, -165, -176, -189, -204, -221?\n\"Answer: -j**2 - 6*j - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*x - 4, 2*t - 5*x - 21 = -t. Suppose t = -4*m + 18. Suppose 4*w + 5*o = 35 + 22, -m = -4*o. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 425*k + 2654. Calculate the lowest common multiple of 11 and l(-4).\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l + 282*l + 149*l.\nAnswer: 379*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171 - 1114 = -106*y - 271 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000476852139 rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + -4 + -4 + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4928, 9855, 14782, 19709, 24636, 29563?\nAnswer: 34490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + 5)*3 + -4.\nAnswer: 3*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojjjjjjjjjjj. Give prob of picking 3 j.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + 15*f + 26963. Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**3\/3 - 3*s**2\/2 - 6*s + 38. Give a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32881)\/822025)\/(((-9)\/(-110))\/(-3))\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69743144 divided by 133864.\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/3 + 5437*s**3\/3 - 1788*s**2 - 130464*s = 0. What is s?\nAnswer: -8, 0, 9, 5436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -1 - -238 - 0. Let d be 4\/16 + z\/4. Suppose 5*r = -5*g + 15, d = 5*r + 2*g - 6*g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4912 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -0.1. Let j = -17 - -13. Which is the biggest value? (a) -1 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 282\nAnswer: -21\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - l + 3*l = -130, 0 = -b - 5*l + 26. Let x = -2 + b. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**3 + 1030550*n**2 - 12367140*n + 37101960 = 0.\nAnswer: -206122, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-120)\/(-15)) + 6080\/266?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.26 from -360321672.\nAnswer: -360321673.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*c + 1, -150*t + 138*t + 12 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244.0003 + -0.0003. Let g = n - 252. Is g at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 30*v**3 + 23 + 14 with respect to v.\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*z + 27 - 391*z - 27.\nAnswer: -1509*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*y - 3*y. Suppose -y*k - 22 = 2*h, 0*k + 5*h = 2*k + 41. Let j be (k\/6)\/(10\/(-6)). Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*b**(-13) assuming b is positive.\nAnswer: b**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -135.95. Let r = -2.25 + j. Which is the closest to r? (a) 5 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/18, 1\/116, 4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 77, 145, 247, 389, 577, 817, 1115?\n\"Answer: n**3 + 8*n**2 + 9*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.0016.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 7*b - 1. Let f(y) = -23*y**2 - 80*y - 25. Let h(n) = -f(n) - 8*w(n). What is the first derivative of h(r) wrt r?\nAnswer: 78*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8038060771 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10092167, -10092147, -10092113, -10092065, -10092003, -10091927, -10091837?\n\"Answer: 7*m**2 - m - 10092173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 2. Determine s(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-4 - -3) - (-2 + -5). Let k(j) = 46*j**2 - 47*j**2 - c*j + 8*j. Let t(r) = -3*r**2 + 6*r. Calculate 6*k(x) - t(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -463*k*s**2 - k + 80*s**2 + 9*s wrt k.\nAnswer: -463*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0212 in 0.2, 2\/13, 0.1, 55?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + -11 + (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -0*y + 2*y + 2*m, -4*y = 3*m + 178. Does 22 divide (3 + 0)\/3 - y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3077.4 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -1\/5, 1\/441?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) -2\/13 (c) -188\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242922052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 8. Let j = i + -2. Let n = j + 8. Solve -29 = -5*g - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 2*i + 841 + 1409 - i.\nAnswer: -2*i + 2250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-6141)\/(-890) + (0\/(-3))\/(-3)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1202?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/5015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 197?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -27074639\nAnswer: -81223917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pphihiiihipl. Give prob of picking 1 p, 2 h, and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.08950825 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/36 and 97\/5668038?\nAnswer: 11336076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(2*sqrt(325) - (4*sqrt(39)\/sqrt(3))**2).\nAnswer: -30*sqrt(13) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 8*t + 1014 = 0. Suppose -28*p + t*p = 4. What is the closest to -2\/5 in 2, 1\/11, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2.3, 0.3, 2\/15, -254 in ascending order.\nAnswer: -254, -7, 2\/15, 0.3, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13 + 119 = 0. Let x = 223\/5 - f. What is the nearest to -0.1 in -4, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + ((0 - 18) + 9 - (1 + -13))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-51038)\/(-74745) - (-6)\/135\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-2))\/7 - (-15)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 673300 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2 + 10\/3*h**3 + 1\/4*h**4 + 5*h + 3*h**2. Let u be r(-7). Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 204 = -50*p. Let t(a) = -17*a + 4 + 2*a + 1. Let h(u) = -u. Let k(y) = p*h(y) - t(y). Find the first derivative of k(z) wrt z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d. Let s be (-3)\/(3\/(-4)) + 2. Let z(x) be the first derivative of 49*x - s - x**2 - 49*x. Give z(t(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 319 = -375 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.897 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2\/7))**(-34)*(r**(-1\/3)*r*r)**44)**(-5\/4) assuming r is positive.\nAnswer: r**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 7024.\nAnswer: -57\/7024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26411 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16348 and 36783?\nAnswer: 4087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)*l)**(-7)*l**(-2\/5)\/l*l**(3\/4))**19)**(2\/81) assuming l is positive.\nAnswer: l**(-247\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let y = -2 + k. Which is the second biggest value? (a) y (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28096 * -0.034\nAnswer: -955.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.45 - 1.26. Let m = 0.19 - v. Which is the closest to -1\/2? (a) -2\/15 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p - 12. Let w be (-2)\/(p*15\/(-10)). What is the nearest to 1 in w, -8, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-42))\/((-3)\/(-2061)). Suppose -2*d + 77 = -5*j, -4*d + g = -j + 6*j. What is the highest common divisor of d and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-57 + 1553)\/44.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/32453 + -2205634\/6328335. Find the common denominator of y and -55\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqqt. Give prob of picking 1 t and 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*w**2*x - 7*w**2 - 47*w*x - 92*w with respect to x.\nAnswer: 21*w**2 - 47*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2183*a - 17. Let u(i) = 1092*i + 8. Give 6*l(f) + 13*u(f).\nAnswer: 1098*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o. Let l(s) = -s**2 + 7. What is the smallest common multiple of 4 and l(o)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:59 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from {e: 2, y: 4, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.013 + 1401.633. Let u = 1380.12014 - y. Let z = u + -1.5. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 6*z**2 - 2*z - 4. Let f be u(3). Let g be (-6)\/f + (-288)\/30. Let c(l) = l**3 + 8*l**2 - 10*l - 3. Calculate c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*k**3 + 351*k - 351*k)*(1 - 1 + 3)*(-2*k + k + 0*k).\nAnswer: -171*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 2*w**3 + 19*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1148*o**6 + 710*o**2.\nAnswer: 137760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-357)\/(-28)*(-8)\/(-6). Let o(w) = w**2 - 16*w - 11. Let n be o(y). Solve -g - g = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6170 and 3?\nAnswer: -18510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 108 + 217 + 18*t**2.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.145 + 0.086. Let b = 95.05848 - 95. Let j = m + b. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*t = -0*h + 4, 6 = -3*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1710*q + 11. Let p(t) = 5130*t + 30. Let f(r) = -4*p(r) + 11*u(r). Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7. Suppose n + d = 59. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22298*i**5 + 403*i**4 + 368263996*i?\nAnswer: -445960*i**3 + 4836*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5047 and 735?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 2*w**4\/3 - 7*w**3\/6 + 5*w**2 + 85*w - 45. Determine j(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + g - 1. Let p(d) = 5*d**3 + 3*d**2 + 11. Let r(m) = -6*k(m) - p(m). Calculate the remainder when 3 is divided by r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0034 - -4.9966. Let f be (1 + 0)\/((-15)\/6). Sort -0.9, d, f in increasing order.\nAnswer: -0.9, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505359 is divided by 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104324412 divided by -755974.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(8\/(-14) - (-808)\/1120). Let l = -0.3 + 0.2. Which is the closest to 2\/11? (a) l (b) m (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*g**4 - 2*g**3 + 111*g**4 + 57*g**5 + (2*g**5 + g**5 + 0*g**5)*(-1 + 1 + 1) + 5*g**5 - 4*g**5 - 3*g**5.\nAnswer: 58*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 63*k - 7 = -64*k, 0 = 2*b + 4*k - 34 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f + 12*f)*(-4 + 1 + 13) + 2*f + f - f.\nAnswer: 152*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 9*z**2 + 9*z + 7. Let d be v(10). Let p = -5 - d. Let l = -4.805 - 0.195. What is the closest to p in -2, -1, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103)\/(-1957) + (-1282)\/(-190) - 7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t - 33. List the prime factors of y(-10).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109213882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74062840.24 rounded to the nearest ten thousand?\nAnswer: -74060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - v**4 + 3*v**2 + (-v + 2 - 2)*(v**3 - 3*v**3 + 5*v**3) + 1 - 1 + v**4 + (0 - 1 + 2)*(-4*v**4 - 2*v**4 + 4*v**4) + 0*v**2 + 0*v**2 - 2*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18465553 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-7)\/42*-34. Find t such that -1\/3 + 2\/3*t**2 + m*t = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.6 (b) -5 (c) 1\/4 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 5:25 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, r: 3, f: 1, d: 2}. Give prob of sequence rqdd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2146 - 882. Let y = 1280.86 - j. Round y to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.46?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48790)\/(-300) + 17\/102. Which is smaller: 162 or c?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let n(y) = -y**2 + y - 6. Let p(l) = -l**2 + l - 7. Let v be 1*(-35)\/(49\/7). Let g(h) = v*p(h) + 6*n(h). Give g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(40\/5)*-1)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 596*t - 6114. What is n(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w + 45. Let o be d(9). Suppose -12*g - 10*g + 3784 = o. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707771540 rounded to the nearest 100000?\nAnswer: 707800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/12 + y**3\/6 - 5*y**2. Let h be q(-2). Suppose 116 = -0*m + 4*m + r, h*m - 136 = r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 257. Let d(j) = j**2 + 19*j + 10. Let q be d(-8). Let i = q - n. Calculate the greatest common divisor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45158 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 1292*b**2\/3 + 200690*b\/3 - 865928.\nAnswer: 2*(b - 12)*(b + 329)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 2, c: 2, h: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45\/105)\/((24\/(-21))\/4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 49, 99, 159, 223?\n\"Answer: -v**3 + 14*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, -2\/201, -1\/3, 0.2?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5 + 1038*u**4 + 57561*u**3 + 206616*u**2 - 2947152*u - 11679360 = 0.\nAnswer: -44, -8, -4, 7, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaeeae. What is prob of picking 1 a and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29521*g = 29481*g + 440 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqiqqqqiqqiii. Give prob of sequence qqqq.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**5\/10 + d**3\/6 - 2*d - 1. Let x(j) be the first derivative of v(j). Find the second derivative of x(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100110 (base 2) in base 6?\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 137?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14687*m**3*t**2*v**3 + 5*m**3*t*v**2 + 20692*m**3*t - 115*m*t**2*v**3 - 10*t**2 wrt v.\nAnswer: -88122*m**3*t**2 - 690*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2\/7, -58\/13 in decreasing order.\nAnswer: 9, -2\/7, -58\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460745 is divided by 537?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.27 - 60.27. Let y = 111 - t. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*z + 17 = 0, -20*d = -22*d - 4*z - 10. Suppose -6*f + f = 0. Sort d, -4, f in decreasing order.\nAnswer: f, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 627, 4012, 12563, 28662, 54691?\n\"Answer: 397*s**3 + 201*s**2 + 3*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -907.\nAnswer: -98\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 2\/9 (b) -2\/11 (c) 0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118275.800005 - -118279. Let h = -3.2 + p. What is h rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 3. Let q be o(-3). Does 6 divide 30\/3 - (-3 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 7. Let m be v(-9). Suppose m*i - z + 12 = 2, -i - z + 1 = 0. Sort i, 5, 3, 0 in descending order.\nAnswer: 5, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d - 23*d + 72*d + 12*d + 7*d to the form g + n*d and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((2\/3)\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 5*i - 4*i**2 + (3*i + i - 2*i)*(i + 2*i - 4*i) + 3*i**2 + 2 - 2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.24767 rounded to 0 dps?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 1851\nAnswer: -462.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jccjcjjtjccjctjjt. What is prob of sequence ccjj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhdhhuuudd. What is prob of picking 1 h and 1 d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 11*g + g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11270465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 39, 5, -30.\nAnswer: -30, -2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + 0 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 108 * 0.11\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 16*r**2 + 16*r - 13. Let d be z(15). Suppose 5*c = -4*b + 40, 4*b + d - 6 = 4*c. Put 0, -1, c, -2 in ascending order.\nAnswer: -2, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/11, -993.4, -1, 0, 0.6.\nAnswer: -993.4, -1, -0.5, 0, 1\/11, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z - 1. Give y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 89*g = -216 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67\/((-18224)\/(-5473440)) + (-1)\/(-17)?\nAnswer: 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1391 from 1.5.\nAnswer: -1389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahjhhhpahhphapphhj. Give prob of sequence hpap.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 22 = 16*t. Are t and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36411605 (base 7) to base 12.\nAnswer: 1106b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -6 (b) -7 (c) -21631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 2639, 6016, 10747, 16832, 24271, 33064?\nAnswer: 43211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45439, 181755, 408947, 727015, 1135959, 1635779, 2226475?\nAnswer: 2908047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -28*y**6\/3 - 103*y**2\/2 - 60. Find the second derivative of l(m) wrt m.\nAnswer: -1120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - 4*u**2 + 6*u - 2. What is the tens digit of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 4\/(-5))\/(52\/(-390)). Solve -2*h + h = -z + r, -4*h = -5*z + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515788 (base 10) to base 13\nAnswer: 150a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -525*d**3*x + 2*d**2 - 2*d + 54*x wrt d?\nAnswer: -3150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - 9 - 29\/(-1). Suppose 0 = 4*v - 4*f - 84, t = -4*v + 3*f + 106. Solve v = 5*r + 4*u, 2*r - 4 = 5*r - 5*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 8.64?\nAnswer: -10.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541 - 8804*r - 9260*r - 1075 + 534.\nAnswer: -18064*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2 - 1. Let g(l) = 4*l**3 + 5*l**2 - 6*l + 9. Let c(q) = 3*a(q) + g(q). Let n be c(2). Calculate the highest common factor of n and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511 - -675. Is i a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*b + 44*b**3 - 4 - 4.\nAnswer: 44*b**3 - 2*b + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4348278 and 15840?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5091 + 5170. What is the remainder when 2999 is divided by h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1594 - 1391 = 5*w. What is the common denominator of -3 + w\/(-60) - 1 and 37\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-167)\/7)\/((-60)\/(-36)). Let j = 110\/7 + l. Find the common denominator of j and -83\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 117 = -k. Suppose 3*x + 4*h - 58 = 0, 4*x + 5*h = 44 + 35. Calculate the greatest common factor of k and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13031255 (base 6) to base 14.\nAnswer: b07bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 3*r - 11*r + 24*r**3 - r**2 - 2 + 18*r to the form t*r**2 + k*r + p*r**3 + o and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -52370?\nAnswer: 52344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-35))\/((-2)\/(-5)). Let j = -271 - -274. Suppose 2*r + 11 = g, g + 7 = -j*r + 3. Solve -i*d + g*h + 14 - 37 = 0, -4*h = -20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/120 + c**5\/20 - 5*c**4\/24 - c**3\/2 - 5*c**2. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(4)*-1 - sqrt(42) - sqrt(672)*5)*-1)\/(1*sqrt(726)*5*-1).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*q + 208 - 208)*(-10 - 16 - 41 + 15).\nAnswer: -2652*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - p. Let o be x(1). Find the second derivative of o*d + 2*d**4 + 47*d**3 - 47*d**3 + 0*d wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-7*r + 0*r + r)*(r + 3 - 3)*(0*r**2 + r**2 + r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464 + 2322\/5. What is the fourth biggest value in -15, -3, -0.4, w?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {a: 1, l: 4, b: 4, o: 10}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 30. Suppose 4*o - 3*d - m = 0, o + 3*o + 1 = -3*d. Let g = -0.142 + 0.042. Which is the third smallest value? (a) o (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 1, o: 2, s: 1}. What is prob of sequence xuos?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-59 - -70) + 59*129?\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. What is the smallest common multiple of (-104)\/(-18) - (-6)\/27 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + sqrt(88)*1)*4)\/(-4*sqrt(24)\/sqrt(3)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-36)*-3*(-2)\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 1, q: 2, s: 2, d: 9, m: 3}. What is prob of sequence mxq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 14 = 23*x. Let g(o) be the first derivative of 5 + 2 + 1 + 3*o**x. Let m(a) = a**2. Determine g(m(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 368890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 4*f)*(165 + 7*f - 165).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*h**5 + 156941*h**4 + 889*h**5 + 947*h - 156941*h**4 wrt h?\nAnswer: 15420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1590, 5119, 14724, 33453, 64354?\nAnswer: 110475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12131233030 + 10?\nAnswer: 12131233100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - y**2 - 9*y**2 + 3*y**2 - 2*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/120 - q**5\/10 + 5*q**4\/24 + q**3\/3 - 17*q**2 - 3*q. Let a = -10 + 3. Is f(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109068.918 to the nearest 100.\nAnswer: 109100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 17*x - 21. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 12*b**2 + 20*b + 4. Let z be s(-10). Put 5, -3, z in increasing order.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.674 - 142.674. Which is smaller: 0.04 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246690*0.06.\nAnswer: 14801.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 5 = -5*o - 81*w, -2*o - 13*w = -14*w - 16 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 20 = -6*d. Let n be 4\/(-14) - (-37)\/((-1036)\/(-120)). Solve -3*j = n*i + 11, d*j - i - 2 = 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -966*-1978\nAnswer: 1910748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 6. Suppose 0 = 4*t + g - k, -g = -6*g + 5. Let b(r) = -r**3 + 6*r**2 + 7*r. Calculate the remainder when b(6) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1794*z - 2062*z - 1277*z.\nAnswer: -5133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2999 + 6086 = -62*z + 457*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ea40 (base 15) in base 9?\nAnswer: 74876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)*h*h**(2\/7)*h)\/((h\/h**(1\/2)*h)\/h**4)*h\/(h**(-1\/4)*h*h)*h**(-3)*(h\/(h\/(h\/h**1)))**27 assuming h is positive.\nAnswer: h**(321\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219384 is divided by 108142?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4204431203 (base 5) to base 12.\nAnswer: 2aa19ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1584 and -61\/1056.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217268 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.401? (a) -0.4 (b) -1\/2 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 891\/(-47) - 680\/15980?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 20 = -2*c - 38*b, -2*c + 9*b - 5 = 15 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 321 + 1?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203544?\nAnswer: 2, 7, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 58*j**2 + 46*j - 200. Let c be g(-59). What is the highest common divisor of c and 7209?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*n + 2844 = -3880 - 11784 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:54 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 27 = -4*n. Let d(o) = o**2 - 71. Suppose -28*q = -36*q + 80. Let f be d(q). Solve 0 = 5*w - f + n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135.5 + -109. Let j = 26 - n. Let v = 14 - 9. Which is the third smallest value? (a) 0.08 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -141*h - 3. Let d be g(-4). Let i = d + -322. Suppose -4*m = -i - 45. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*p + 4530 = 14*p - 423*p + 87657 for p.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 79 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33075 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147178 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 176\/36 - 37719\/(-21384)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -127, -183, -235, -283, -327, -367?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -7\/120*t**6 - 10*t**2 + 0*t + 0*t**3 + 1\/4*t**4 + 0 + 0*t**5. What is the second derivative of r(w) wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.83352 * 0.2\nAnswer: 0.166704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -1\/3*i**4 + 2\/9*i**3 + 0*i + 0*i**2 + 2\/15*i**5 - 2. Factor d(s).\nAnswer: 2*s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.78 * -2.6.\nAnswer: -22.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/120 + h**5\/20 - h**4\/6 - 2*h**3\/3 + 4*h**2. Determine b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18462 and 30227?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 0. Suppose 5*v - 4*z = -0*z + 592, 0 = 3*z - l. Suppose -3*s + 5*s - v = 0. What is the greatest common divisor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, a: 1, i: 1, t: 1}. Give prob of picking 1 o and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-78)\/9)\/(4\/(-18)) is divided by 375\/18 - 2\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 60*r - 861. Let k be y(24). Solve -i - 4 - 3 = -3*p, 0 = 3*i - 3*p - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -291*s - 405 + 3442 + 2201 = 0 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -191*r. Let o(u) = 27*u - 786. Calculate o(j(t)).\nAnswer: -5157*t - 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10137780 divided by -12.\nAnswer: 844815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6906, -13856, -20806?\n\"Answer: -6950*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 24 = -3*q + 3*h, -9 = -q + 2*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = 5*c, -3*l + l + 6 = 2*c. Suppose o + c = 3. Factor 112*b**3 - 12*b**2 + 110*b**o - 10*b - 224*b**3.\nAnswer: -2*b*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 250 = -150 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 236 = 9*a + 8*y + 214, 3*a = 4*y - 46 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 21?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -23. Which is the closest to d? (a) 1 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 839996*a - 2. Let o = 11 + -7. Let c(i) = -839995*i + 1. Let h(k) = o*y(k) + 3*c(k). Let d be h(-5). What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 = 2*w, 0*k + 2*k + 2 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 e when four letters picked without replacement from {e: 2, h: 3, y: 12}?\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 27\/8, 3, -77 in ascending order.\nAnswer: -77, 2\/3, 3, 27\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhgddddhhdhhdogg. What is prob of sequence ggo?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:14 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w = -6*w + 8*w - 3906 - 1194 for w.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) 0.01 (c) 742\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -282*a. Let o(v) = -81*v. Determine o(d(r)).\nAnswer: 22842*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + t**3 - 5 - 2*t**2 + 4*t**4 + 6 - 3*t**4 to n*t**4 + d*t**2 + o*t + r + w*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14752004.\nAnswer: 2, 3688001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14789570519.71 - -6.6\nAnswer: 14789570526.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s + 98*s + 6313 = 21289. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 913.45 - 921. Let r = -226 - -212.26. Let g = y - r. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2*(538 - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2705.70434 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1071? (a) 2\/3 (b) -3\/2 (c) -13 (d) -1\/3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/8*-6)\/(14\/(-2)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 j when four letters picked without replacement from {j: 2, z: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21114 in 1, 4, -3\/2, 35, 0.4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l - 4. Let k be v(7). Let s be 186\/((-297)\/(-100) - k). What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 2*b + 2. Let w(g) = g**2 - 3*g - 2. Let u(i) = -i**2 + 3*i + 2. Let c(r) = -4*u(r) - 5*w(r). Give 4*c(q) - 5*m(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 4*n**2 + 5. Let z(p) = -4*p**3 + 6*p**2 - 7. Calculate -7*t(v) - 5*z(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 90 + 105 = 2*u, -2*u = s - 185. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -325, -726, -1239, -1834?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28693 is divided by 116.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1000) - (sqrt(1000) + sqrt(1000)*-3)) + sqrt(1000) - sqrt(1000) - sqrt(1000)))\/(1*sqrt(392) + sqrt(392) + sqrt(392) + sqrt(96)\/sqrt(3)).\nAnswer: -60*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127178?\nAnswer: 2, 63589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*f = -5580, -6*f = 4*v - 3*f - 7440. Suppose 0*y - 5*y + 5*m + v = 0, -1890 = -5*y - m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25268583299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let h(d) = 3*d**2 + 4*d + 5. Let y(g) = -g. Let s(n) = h(n) + 4*y(n). Let r(p) be the first derivative of s(p). What is r(v(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/630 - k**6\/90 - k**5\/45 + 27*k**2. Factor l(o).\nAnswer: -o**2*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-5\/2)*l*l\/(l**(-16)*l)*l\/((l*((l**(6\/5)*l)\/l*l)\/l)\/l)*l**(6\/13) assuming l is positive.\nAnswer: l**(2699\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5684798 is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**(2\/11)*(d\/(d\/d**(-2\/7)))**24)\/(d**(2\/7)*d*d\/d**2*d**(-4)\/((d\/(d\/d**(-2\/5)))\/d)) assuming d is positive.\nAnswer: d**(-2834\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (3 - (-1 - -1)). Suppose -h*j - 2*j = -16. Solve -3*i = i - j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -7 + 1)*(-23 + 25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125855 is divided by 456.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:16 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/12)*k)**15 assuming k is positive.\nAnswer: k**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) -2 (c) 2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 - 7\/6*o**3 + o**2 - 4*o. Suppose -42*v = -37*v - 15. What is a(v)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i - 18*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 0*d**3 + 202*d**2 - 202*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.39 + 7.1. Let q = 0.19 - b. Let o = q - 0.4926. What is o rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*f + 2. Suppose 4*t + 3*u + 1 = 0, -3*t + 8*t - f = -3*u. Suppose -63 = -t*y - y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 1\/10 (c) -47 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6214373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150517 is divided by 642?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85b36 (base 12) to base 4.\nAnswer: 223000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 194, 637, 1504, 2939?\n\"Answer: 24*p**3 - 4*p**2 + 7*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46662147*m**3 - 651*m**2 - 15*m + 619?\nAnswer: 279972882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*u - 44 - 132. Suppose -5*h + 4860 = 5*k, -3*h + u*k = 8*k - 2913. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdd when four letters picked without replacement from {d: 11, j: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8268, 8260, 8250, 8238, 8224, 8208?\n\"Answer: -m**2 - 5*m + 8274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*40\/50*(-25)\/140?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2 + 2*f - 9. Let y be (-10)\/(-3)*(-3 - (-24)\/5). Let s(u) = 3*u**2 - u + 5. What is y*k(b) + 11*s(b)?\nAnswer: 3*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0786673353 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -679945 * 0.3.\nAnswer: -203983.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1\/5, 7, 3.\nAnswer: 1\/5, 3, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 246a - -31?\nAnswer: 249b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084*z - 1901 = 2550 + 88069 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124963696 is divided by 926.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(21\/14 - 2))\/(70\/4)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -27. Calculate the remainder when 86 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17748\/23 greater than or equal to -773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526*u - 99*u**3 + 192*u**3 - 94*u**3.\nAnswer: -u**3 + 1526*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - (-21 + -13 + 25)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -307592, -615910, -924206, -1232468, -1540684?\n\"Answer: 2*y**3 - y**2 - 308329*y + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435189693 - -31779508. Let h = k + -466969440.000103. Let v = h - -239. What is v rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174067 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: Rearrange 3*j - j - 4 + j**2 - 7*j**2 + 3*j**2 to the form v*j + i*j**2 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.4, -2\/21, 0.147, -2\/11, 11?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12945 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -4 + (-26 - -82). What is the second derivative of -46 + 154*j**3 - 23*j**3 - 2*j + u*j**3 wrt j?\nAnswer: 1098*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2176 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*z - 2*z + 26375, 0 = -o + 3*z + 8797. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17039202839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 62641, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68070*y**3 + y**2 - 45102*y wrt y.\nAnswer: -408420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*x - 116 = 0, -3*p = x - 2*x - 67. Let j be (-2)\/8 + (-578)\/(-8). What is the greatest common factor of j and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-40)*(-20)\/(-720)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 238.1. Let w = l - 3.9. Let o = w - 20.999947. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 26 = -2. Let t be ((-4)\/d)\/((-1)\/(-2)). What is the common denominator of -17\/18 and 6\/(-8) - 2*t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*d + 3*d + 27, -4*d - 2 = u. Let y(z) = -2*z**2 - 3*z + 9. Let v(c) = c**2 + 4*c - 9. Let h(j) = u*v(j) - 5*y(j). Does 16 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a4 (base 12) to base 5\nAnswer: -14012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180800 to the power of 1\/2, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 10\/3*t**3 + 5\/2*t**2 + 5\/4*t**4 + 0*t + 4. Find g such that f(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538523183, -538523182, -538523181, -538523180, -538523179, -538523178?\nAnswer: -538523177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*m**2 + 20 - 42 + 4*m + 22 - 78*m**2 to n*m**2 + f + a*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 72471.9446 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 172 = v, 2*v + v + 2*n = -518. Let j = v - -431. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -41*j - 37. Is y(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + o = -108 + 18, -150 = -5*z - 2*o. Calculate the lowest common multiple of z and 123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c13 + -7c?\nAnswer: -c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -35*k - 547. Determine p(-28).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 4. Let m(c) = 1. Let d be -28*(1\/(-4))\/1. Let b(s) = 3 - d*s + 9*s + 4*s**2 - 4*s - 6*s**2. Let f be b(1). Give f*p(x) + 2*m(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c. Let s(u) = -3*u + 108 + 108 + 2*u**2 + 116 - 334. Let v(t) = -t**3 + 6*t**2 + t - 7. Let r be v(6). Give r*s(x) + 4*i(x).\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-192)\/(-90) - 2 - 246\/(-180))*52. Solve -68*q = -42*q - m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:03 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -29 - 38*i + 78 - 29 - 25. What is the tens digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*f = 2 + 1, -4*x - f + 13 = 0. Find the third derivative of 70 - 37 - 2*p**2 - 59*p**x - 31 wrt p.\nAnswer: -1416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 20743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 4 - (2 + 1). Let b be 2 + 6\/(-4) - 0. What is the smallest value in -3, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*405\/(-567).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.3, 21.1 in decreasing order.\nAnswer: 21.1, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 803809 and 324087?\nAnswer: 142274193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (20 - (22 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 3, c: 4}. What is prob of sequence tc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -29*n + 63. What is z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-26)*2*18\/174?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 770715 and 2651?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)*(-132)\/(-264). Put 5, k, 18, -5 in increasing order.\nAnswer: -5, k, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from koooogkkkoo?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6557 and 160605?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -598, -4, -1.1 in descending order.\nAnswer: 1\/6, -1.1, -4, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*c + 5*f + 98, 5*f = 3*c - 37. Solve 13*d = c*j + 9*d + 20, 3*j - 5*d = -23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/114 and -10 + (-13)\/75*-65.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:01 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2.7?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.04394\nAnswer: -0.02197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 5*d**2 - 2*d**2)*(-56*d**3 + 48*d**3 - 31 + 50).\nAnswer: -16*d**5 + 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -135380894 = -135380894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380618704 is divided by 25374580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o - 29 - 7. Let h = 2.5 + 0.5. What is the second biggest value in -4, o, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48 + -79)\/(-1 + 0). Find the second derivative of 112*u + 11*u**3 + 4 - 100*u - a*u**3 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 2 - 41*w**2 - 38*w**2 + 75*w**2 + w - 2*w**4 to o*w + m*w**4 + b*w**3 + x*w**2 + q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 490*t**2 - 950*t + 5348. Determine j(-243).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 - -3.604. Let z = -0.396 - j. Do z and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3160871 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -1 + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -69 - 55. Calculate the remainder when 154 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 - (2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 1. Let h = -48 + 38. Suppose 2*w + 2 = 4*v, -48 = -4*w - 2*v - 3*v. Let p = w + h. Determine g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2976.1 + -2804. Round a to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000123321654 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2747 * -1489.\nAnswer: 4090283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 123*h - 7003. Determine k(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) -4\/5 (c) -0.3 (d) 1\/99 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zulzlzuuzzlu. What is prob of sequence uu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = -66*r + 63. Suppose -319 - 59 = -r*x. What is the smallest common multiple of 12 and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**4 - m**3 - 3*m**4 + 0*m**2 + 0*m**2 + (0*m**3 + 2*m**3 + 0*m**3)*(2*m - 2*m - m) + 5*m**4 - 3*m**4 - 4*m**4.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a**(-2\/7))**30 assuming a is positive.\nAnswer: a**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 631.2223mm?\nAnswer: 0.0006312223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:50 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*i - 4*p, -i - 142*p + 9 + 1 = -149*p for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36663 - -69717. What is the greatest common divisor of 84 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + 0.076799.\nAnswer: 1.376799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 25*t + 13433 = 0. What is the common denominator of t\/624 + 12\/546*7 and -109\/22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 25*x**2 - 223*x + 1850. Calculate w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 6 + 1 + -2. What is the greatest common divisor of h and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-4*i + 0*i + 3*i) + (0 + 0 - 2*i)*(3 - 4 + 2) + (586 - 586 - 849*i)*(0 + 0 + 1).\nAnswer: -853*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33059 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = 2*x + 2*n, 0 = -2*x + 3*x + 4*n - 630. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/20, -0.7357 in descending order.\nAnswer: 2, 3\/20, -0.7357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**3 + 14*g**2 + 4*g + 115295 wrt g?\nAnswer: 12*g**2 + 28*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 smaller than -1354584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.546 + 0.054. Let b = 0.04 + -1.44. Let o = b - n. What is the second smallest value in o, -1, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4537 a factor of 194617237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 1755*i - 1751*i - 8, -n - 2 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23361 + 11602?\nAnswer: -11456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 6*o - 25. Let l be a(9). Let f = 25 - 4. Solve -2*g = -2*j + j - l, -5*g - f = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 222094*t**2\/3 - 93456542*t\/3 + 3283423750.\nAnswer: -2*(t - 110625)*(t - 211)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 373*t**4\/12 - t**3\/2 + 893*t**2 + 295*t. What is the derivative of r(c) wrt c?\nAnswer: 746*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*g - 206, -7*t = -5*g - 3*t + 201. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87533268 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (6 - (-7 + -7 + 8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m - 20. Let a(w) = -5*w - 9. Calculate 5*a(n) - 2*t(n).\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2, 2, -165 in decreasing order.\nAnswer: 2, -2, -37, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*-1 - -61) + (-19)\/(-19). Let i = -35 + f. Factor 5 + 115*y**2 + 15 + 9*y**3 + 100*y + i*y**3.\nAnswer: 5*(y + 1)*(y + 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2289027127 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -24*u + 38*u + 2*u**2 - 21*u - u**2. Suppose 0 = -2*a + 11 + 3. What is n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 140, 324, 508, 692?\n\"Answer: 184*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**8\/14 + n**4\/3 - 6*n. What is the third derivative of b(c) wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/5287 and -7\/5287?\nAnswer: 5287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.058544 plus 10?\nAnswer: -254.058544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6314 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 659125552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 43 - 2*j - 89 + 49 - 4*j + 0*j. Let y(w) = 1. Give -q(t) + 5*y(t).\nAnswer: 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8858, -17718, -26578?\n\"Answer: -8860*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 77. Let d be a(25). Suppose -7397 = -36*g + d*g. List the prime factors of g.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 5*r**3\/3 - 4*r - 7. Find the first derivative of d(v) wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {l: 1, n: 1, d: 1, c: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27520 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + 2 + sqrt(243) + sqrt(243) + sqrt(243))**2.\nAnswer: -162*sqrt(3) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:38 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2267*p = 2269*p + 10, 12*p = 4*w - 88 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -10747 and -10747 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 5*d**2 + 3*d - 15. Let c(s) = -2*s + 16. Let z be c(5). List the prime factors of m(z).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13801 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let q be w(4). Suppose q = -i + 21. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316716939 divided by 15081759\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:17 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b - 2. Let z be d(1). Let j be (1 + 2 - 2) + 2. Suppose 0 = j*v + 8 - z. Sort 3, v, 0 in increasing order.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 4, q: 3, b: 3}. Give prob of sequence qwbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452 + 20?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 1. Let l(z) be the first derivative of z**2\/2 - 1820. Determine c(q) - l(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43395 - 24065. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k - 1. Let x be k + (4 - 1\/1). Which is the biggest value? (a) x (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 285*b**3 + 3610*b**2 - 12900*b + 9000.\nAnswer: 5*(b - 2)*(b - 1)*(b + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 - 53*u - 17. Give g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 1.7, -1, -1\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359822770?\nAnswer: 2, 5, 2113, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - 6*u + 4*u)*(-3*u - u + 0*u) + ((4 + 1 - 4)*(-u + u + 2*u) - 11 + 12*u + 11 - 5 + 5 + u)*(3 - 3*u + u - 4) as v*u + y*u**2 + f and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:29 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.6664 - 0.3336. What is the closest to m in 2, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 146032721?\nAnswer: 146032720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.2 - -0.9. Let c = m + 41. Let r = c + -1.699932. Round r to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 - 8?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 2. Suppose 2*u - 7 = -5*n - u, 0 = u + 1. Let z(i) = i**2 + 1. What is n*z(j) + s(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 24*l**2 + 6*l + 6. Let b be n(-5). Let z = -77 - 1. What is the tens digit of 12\/z + b\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-2) - (-36)\/(-9). Solve x = 10*s - 7*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(700) + -1 + sqrt(700) + -3 + 0)*-1)**2.\nAnswer: -1440*sqrt(7) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.47. Let v = -1.53 + h. What is v rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and -2.66.\nAnswer: 0.01064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -9. Let m = 2.764 + -2.764. Which is the closest to m? (a) 0.3 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.09, 0.4, -1.4, 0.3, -6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (-9 - (-144)\/(-12)). Solve 0 = -b*y + 14*y + 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 i when three letters picked without replacement from vivvivpvp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42120 (base 6) to base 5.\nAnswer: 140124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 - 81 = 0. Is ((-248016)\/(-14))\/6 - 12\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p**3)*(-3 + 3 + 2*p) - 2*p**4 + 3*p**4 + p**4 + 270*p**4 + 220*p**4 - 926*p**4 - 851*p**4.\nAnswer: -1281*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 297. Let u be j(0). Let r = -227140 - -227162. What is the highest common factor of r and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -665476 + -1?\nAnswer: -665477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.92 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let h be -1 + 10\/36*y. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159104008.\nAnswer: 2, 144888001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 7 - 2 - 1, -128 - 56 = 9*l + 6*l - 4*j for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-189) + 0 + 4\/(-14). Solve 2*s = -0*s + 4*h - 2, w = -4*s - h + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 2*n**2 - 4*n + 15. Let p be c(-6). Let z be (-91 - -1)*-6*14\/p. Let m = 75 + z. Solve 0 = v + m + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-2))\/(4104\/(-688) - -6). Suppose 0 = -f + 3*f + 94. Let z = f + t. What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/467 + 979\/7005. Which is the third biggest value? (a) 1 (b) -2 (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + (2 + 0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 3, k: 2, p: 3, r: 1}. Give prob of picking 2 p, 1 y, and 1 x.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -4 (b) -9 (c) 3\/11080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8270*t - 2317*t + 6740*t - 929*t)*(0*t + 4*t - 6*t) as v + r*t + w*t**2 and give w.\nAnswer: -23528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289755 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36291 is divided by 330.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*24\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/(-147))\/(3\/42). Suppose -3*h = -5*o + 2*h + 1070, 2*h - 856 = -d*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.3 (b) -29 (c) 2\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 7*h**2 + 69.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 100 (b) -3\/5 (c) 2\/11 (d) -5 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v - 58 = -106*v - 228 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2232.3 - -0.78\nAnswer: 2233.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 + -9)\/(6\/(-4)). Let s(i) = -i**3 - 4*i**2 - i. Let j be s(n). Let h = 8 + -6. What is the greatest common divisor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2337.656 micrometers to millimeters.\nAnswer: 2.337656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -540174, -540173, -540172, -540171, -540170?\n\"Answer: x - 540175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 326*d - 1. Let j(p) = -p**2. Give j(s(w)).\nAnswer: -106276*w**2 + 652*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-70)*(-35)\/(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793.51 - -90.59. What is k rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13374)\/(-1486)*(-38)\/(-9)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 693 + -673. What is the greatest common factor of i and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/11, -2\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*f + 0*f + 40*f)*(f**2 - 5 + 5) to c + y*f**2 + r*f + p*f**3 and give p.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/6)\/(2\/6). Suppose -o + i = o. Suppose -2*x - o = -3*x. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78 (b) -1 (c) -1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1853 divided by -7?\nAnswer: 1853\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-119 + 81 - 138)*(0*g - 1 + 0*g - g)*(-4*g - g + g) as r*g + p*g**2 + u and give r.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 + 13*o**2 - 37*o**2.\nAnswer: -24*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1170, 1181, 1208, 1257, 1334, 1445, 1596?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 5*a - 2. Suppose 3*f + 5*d = -18 - 16, 0 = 4*f - d + 7. Let k be s(f). Suppose 3*p - k = -p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, n: 1, i: 1, c: 2}. Give prob of sequence iczn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/5 - 2*w**3\/3 + 4*w. Suppose k(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let j(t) = -t**3 - 10*t**2 - 7*t + 22. Let f be j(-9). Suppose f*d - 1 = -s + 2, 2*d = -s - 1. Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t**(2\/5))\/(t\/(t\/(t\/((t\/(t*(t\/(t**0*t)*t)\/t))\/t))))**(-12\/5) assuming t is positive.\nAnswer: t**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -11*w + 1\/20*w**5 + w**2 + 0*w**3 + 0 - 1\/4*w**4. Let h be s(3). Solve -c - 2 = -h*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(1\/2) - -17. Factor -16*k + 30*k**3 - 38*k**3 + g*k**3 - 4*k**4.\nAnswer: -4*k*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, 4, 1.81, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 904\/11. Let s be 4\/12*(-3)\/(-2). Which is the nearest to s? (a) 2 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1056 greater than -1141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-7)\/(-1) + -4 - -1) + 10. Let z be (-12)\/(-48) + 15\/4. Solve -b + 3 - 23 = z*x, -b - l = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-4)\/(-112). Which is the nearest to i? (a) 4 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/455*-15*-7)\/(1*4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10127, -7527, -4927, -2327, 273?\nAnswer: 2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13248.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147.63197 + 225442.\nAnswer: 225589.63197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 14367*q + 4.\nAnswer: 14367*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 70 = -85. Let q = -26 - z. Which is the nearest to 4? (a) 4 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -410 in -2, 5, -2\/5, 2, -54779?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -113, -117, -121, -125, -129?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let r(b) be the first derivative of -4*b**2 + b - 30. Give r(a(i)).\nAnswer: 8*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1290 - -2223. Is o a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 329365074 and 660.\nAnswer: 329365734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -47, -86, -135, -194, -263, -342?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -753.2 + -9.8. Let r = 763.00933 + h. What is r rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 8. Which is the biggest value? (a) 1 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - t - 3. Let q be 1\/(-1) - -7 - 2. Suppose -q*r + r = -15. Let u(w) = 3*w**2 - w - 4. Calculate r*u(o) - 7*n(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4384595*h**2 - 8769000*h + 380 = 0. Calculate h.\nAnswer: -2, 38\/876919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 192*r**2. Let f(x) = -4*x**2. Determine f(l(i)).\nAnswer: -147456*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 19 = -3*l, -g = l - 3*g + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*v + 277, -2*b - b - 227 = -4*v. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64435529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - 10) + (-67 - -60) + -31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75938*g**2 - g + 10862?\nAnswer: 151876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:11 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4723, 9412, 14043, 18586, 23011, 27288?\n\"Answer: -5*p**3 + p**2 + 4721*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*i - 4076, 0*c - c + i + 818 = 0. Suppose -16*h = -8*h - c. Is (-1)\/6 + 263075\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164455 divided by 32891.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/54 and (2*(-86)\/(-120) - -4) + -4?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5) + (-1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.5 - 7.7. What is the nearest to c in -3\/7, 7, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**3 + 8415*a**2 + 507315*a + 7788905 = 0.\nAnswer: -1621, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 1. Let g(q) = q - 11. Let c(u) = u - 21. Let d(w) = -4*c(w) + 7*g(w). Let v(b) = -d(b) - 4*r(b). Is v(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5 + 165*l**4 + 417*l**3 - 58365*l**2 - 564300*l = 0.\nAnswer: -44, -15, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 186262364*l**2 + 186262351*l**2 + 4*l.\nAnswer: -13*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = -s, 5*o + s - 9 = -0*o. Let v be 3\/o*60\/45. Suppose -4*u = -v*y + 30, 5*u = -4*y + 2*u + 27. Solve -y = 5*d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-203) - (-156)\/462?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.587 (b) -2 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600 and 3062675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 132\/307 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 351, -1\/7?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.80947mg in micrograms?\nAnswer: 58809.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10840360?\nAnswer: 2, 5, 23, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 3*c**3 + 3*c**3 + (-c**2 - 2*c**2 + 5*c**2)*(-311*c - 132*c - 575*c).\nAnswer: -2035*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*q - 101 + 101 + (-3*q + 3*q - q)*(57 + 25 - 117).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21309 + -3686443\/173. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6880.831 kilometers?\nAnswer: 688083100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/6333809 and 41\/18377.\nAnswer: 297689023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 17}. What is prob of picking 1 i and 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) -0.083 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19928 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5690, -3446, 10 in decreasing order.\nAnswer: 10, -3446, -5690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 180*b. Let l(t) = 14*t - 2. Calculate x(l(c)).\nAnswer: 2520*c - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/5*15\/9. Let c(n) = s - 4 - 3*n - n**2 + 0. Let u(i) = -i**2 + 4*i + 47. Let y be u(-5). What is c(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5105816 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33832157*h**3 + 24062819 wrt h.\nAnswer: 101496471*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112024 + 33?\nAnswer: -111441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657059098 is divided by 5730?\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 2429, 8165, 19337, 37757?\nAnswer: 65237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let l = -42 - -44. Sort -0.2, l, -0.1, x.\nAnswer: x, -0.2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let t(b) = 3*b**2 + 42*b. Give k(t(r)).\nAnswer: 6*r**2 + 84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -14, -17, -18, -17, -14, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 11*q**2 - 194*q - 32. What is g(16)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.06 - 3. Let l = -0.04 - q. Which is the closest to 0? (a) -0.2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2 - (-3 - 5)). Factor 1\/4*v**k + 1\/4 - 1\/4*v - 1\/4*v**2.\nAnswer: (v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265695627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 (base 14) in base 7?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49168 + -30790. What are the prime factors of q?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 979.8872 millimeters?\nAnswer: 979887200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 = -c, -5*d + 2*c - 7 = -17. Suppose -35 = 12*y - 95. Suppose -d*p = 3*p - y*p. Solve -j = -p*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 267 (c) 1428 (d) -11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 2*p - 4. Let j(b) = -4*b**2 - 3*b + 5. Let w(o) = -2*j(o) - 3*z(o). Suppose 8*r - 4*r + 12 = 0. Let a be 27\/(-12) + r\/4. What is w(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 6*k - 4. Let n be y(3). Suppose -4*w - i + 13 = 0, -n = 2*w - i - 4. What is the least common multiple of 3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**7\/840 + g**6\/40 - g**5\/15 - 13*g**3\/2 - 17*g. Let j(v) be the second derivative of z(v). Suppose j(l) = 0. What is l?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 10*c**4 - 9*c**4)*(-4*c + 3*c - 3*c).\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 4. Let d be p(2). Let c be d\/1 + 44\/11. What is the second derivative of -c*r**4 - r**4 + 7*r - r**4 - 4*r wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 + 3 + -9 + 6 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 + (30 - (13 + -8) - (-179 - -180))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 3*x**4\/4 - 50*x**3 - 156*x**2 + 1073. Find v, given that n(v) = 0.\nAnswer: -2, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428*b**5 + 785*b wrt b?\nAnswer: -8560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.2, 1\/3 in increasing order.\nAnswer: -0.2, 1\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*n**3 + 2*c**2*n**2 + 1299*c**2*n - 127*c*n**3 + 4*c*n + c + n**3 wrt c?\nAnswer: -8*n**3 + 4*n**2 + 2598*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 11 = 3*b, -18701*b + 18699*b + 72 = 5*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1628111232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24 = 16. Let v(l) = -l**3 + 24*l**2 + 14. Calculate the remainder when z is divided by v(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/1344 - g**7\/420 + g**6\/480 - 8*g**2. What is c in d(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 33 = -5*j - k, 2*k + 6 = 0. Let d(o) = -o**2 - 9*o - 8. What is d(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:46 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19151.\nAnswer: 11, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*b - 30 = 0, 2*b = 5*t - 2*b - 20. Suppose 0*u - 4*u + t = 0. Suppose -u*y + 71 = -95. What is y rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469843 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by 6.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 20 = 16*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -1.4. Let s be (3 - 0)\/(-9 + 1023\/22 - 3). Which is the closest to s? (a) i (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 7, f: 4}. What is prob of sequence kf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3 and -59\/37026.\nAnswer: 37026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.30075, 1\/303, -1 in decreasing order.\nAnswer: 1\/303, -1, -5.30075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3895513 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54462.\nAnswer: 2, 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 18*r**2 + r + 19. Let q be i(-18). Is 41 + q - (-17 + 19) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, -2\/11, -5, 13\/5 in increasing order.\nAnswer: -5, -0.2, -2\/11, 0.4, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:55 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-3) + 3*(-60)\/135.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 91 - 83 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -14, -8?\n\"Answer: 6*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 6*j = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.055 - -0.008. Let h = y - 0.163. Which is greater: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, o: 3, g: 3, a: 1, b: 1, f: 5}. Give prob of picking 1 p and 1 b.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18a (base 15) to base 12\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-3 + 1 + 2). Is 10 a factor of 254\/12 + t\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. List the prime factors of (7\/n)\/((-7)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 24. Let q(u) = 2*u**2. Determine q(l(y)).\nAnswer: 8*y**4 + 192*y**2 + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12350449 divided by 17.\nAnswer: -726497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, f: 3}. What is prob of sequence zzz?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141076022 by -2.\nAnswer: 70538011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3, -b = -12*u + 14*u - 173. Let k = u + 83. What is the highest common factor of k and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**14)\/m*m\/(m**(-16)\/m))\/(m**(-10\/7)*(m\/m**(-5))\/m))**6 assuming m is positive.\nAnswer: m**(1194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 1:51 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 81 = -10*k + 186. Solve k*o - 52 = -6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5067293 to the nearest integer?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/3? (a) 2 (b) -2\/17 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 175?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2858*l - 1074. Calculate the remainder when z(-2) is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/30 + (-3)\/18. Suppose 2 - 4 = -2*i. Which is the closest to i? (a) -0.1 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 47*q**2 - 544*q + 78. Calculate b(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229 + -321. Let k = -91 - z. What is the third biggest value in k, 0.5, 2\/35, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 - 6*d - 4. Let p be u(7). Suppose 3*f + 1 = -2*m + p*m, 3*m - 23 = 4*f. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259898 or -260455?\nAnswer: -260455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -3.\nAnswer: -134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.5. Suppose -5*b + 834 = 824. Let k = -1.15 - -1.25. What is the second smallest value in k, l, 4, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 132*n - 137*n - 348, 4*n = 32. Solve u*p - 99*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwkggwgw. Give prob of picking 1 w and 1 k.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.357063 kilometers in micrometers?\nAnswer: 1357063000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009910 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36594 or -36578?\nAnswer: -36578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 - (79 - (51 + -60)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = n, 5*l = 4*n + 51 - 20. Suppose 0*x = -l*x. Let j(y) = -y + 9. Calculate j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -20*a**2 - 6*a - 408. Let x(g) = -39*g**2 - 15*g - 818. Let z(j) = 5*s(j) - 3*x(j). What is the derivative of z(v) wrt v?\nAnswer: 34*v + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 48 = 4*l. Suppose y = -5*d + l, 2*d + 103 = 5*y - d. Let u(g) = 4*g**2 + g - 1. Calculate the least common multiple of u(1) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12012523 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-245)\/(-147) - 3\/6*2. What is the closest to m in 0.526, 0.3, 3?\nAnswer: 0.526","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4798920 and 24987480?\nAnswer: 724636920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2))**(-41) assuming n is positive.\nAnswer: n**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -569*l**2 - 49*l - 131. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.13354289945965?\nAnswer: -0.63354289945965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19632 divided by -2454?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 3*f)*(-7*f + 0 + 0) - 5*f + 2*f**2 - f + 5*f.\nAnswer: 16*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73066799, 73066807, 73066815, 73066823, 73066831?\n\"Answer: 8*b + 73066791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 4:07 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2048*f**5 + 3328*f**4 - 608*f**3 - 580*f**2 - 88*f - 4.\nAnswer: -4*(f - 1)**2*(8*f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + i**2 + 3*i + 0 + 2. Let l be k(-4). What is the derivative of -3 - j**l - 1 - 3 + 2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4121 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -34*u**2. Let x(r) = -13*r + 22. Let t(p) = 20*p - 34. Let a(c) = 5*t(c) + 7*x(c). Let q(s) = -s + 2. Let w(j) = 3*a(j) + 24*q(j). Calculate i(w(m)).\nAnswer: -306*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(162) + 2*(sqrt(162) - (sqrt(162) + (sqrt(162) + (-4*sqrt(162) - sqrt(162)) - sqrt(162)) - sqrt(162))))\/sqrt(9)*6 + 5)**2.\nAnswer: 2340*sqrt(2) + 109534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-7 - -1) - (-35 - -72 - 5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 + 4*g + 2. Suppose 2*v = 5*c + 29, 2*v - 2*c - 14 = -0*c. Let p be (1\/v)\/(10\/(-120)). Give j(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x + 3. Determine a(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31981, -63962, -95943, -127924, -159905, -191886?\n\"Answer: -31981*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.76 - 0.24. What is the closest to w in -1, -0.04, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 17 + (8 + -8 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.855843222 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15892, -31772, -47652, -63532, -79412, -95292?\nAnswer: -111172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqiqimq. What is prob of sequence qm?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -472*d**3 + 232*d**3 + 299*d**3 + 3*d**3 + 2*d**3 - 3*d**3 + (0*d**2 + d**2 + 0*d**2)*(2 - 2 + 2*d) as g*d + p + q*d**2 + t*d**3 and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44494, -44494, -44488, -44476?\n\"Answer: 3*b**2 - 9*b - 44488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2816 - 811.527.\nAnswer: -3627.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + w - 529 = -68, 0 = 5*a + 3*w - 2295. Suppose 15*q = 9*q + a. Let m = q + -73. Solve 6 = -m*p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 3. Let j be m(6). Let z(o) = 34*o + 2. Let d be z(-2). Let g = d + j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 102495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 179\/6. Let n(y) be the first derivative of -1\/3*y**3 + 0*y + 0*y**2 + 0*y**4 + 0*y**5 + k*y**6 + 1. Find the third derivative of n(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12662*t - 25329*t + 9*t**2 - 67*t**2 + 8 + 12667*t.\nAnswer: -58*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -5, 1\/3, -3\/49, 0.3 in increasing order.\nAnswer: -5, -1, -2\/3, -3\/49, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than -612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/9*i**2 - 2\/9*i = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -24. Let i(h) = 5*h + 1. Suppose -2*y + 9 = y. Let x(m) = -9*m - 2. Let p(z) = y*x(z) + 5*i(z). Determine p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (-1 + 3 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14149 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 65, 5, -1\/6, 4, 3 in decreasing order.\nAnswer: 65, 5, 4, 3, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1381500, 5525975, 12433428, 22103853, 34537244, 49733595, 67692900?\nAnswer: 88415153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 66 + 3*j - 2*j**3 to l*j**3 + v*j + o*j**2 + a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1133?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1684)\/(-44) + (2 + -13 + 5)\/22\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 - 1920118*t**3 + 614476802394*t**2 - 65548903239058050*t + 131095348586267436 = 0.\nAnswer: 2, 320019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 297 - 101. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9816 = -7*u. Suppose -27*a + 31*a = u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = -40. Let u be (-4)\/(-10) - (-162)\/t. Let w(k) = 3*k**2 + 5*k + 9. Let i(j) = 4*j**2 + 5*j + 10. Let o(m) = 2*i(m) - 3*w(m). Calculate o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30914 and 463996?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + -1221120221?\nAnswer: -1221200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)*w*w)\/(w*w**2*w))**7 assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from bbjbwbnbxbbnwjb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15812 = -306*f - 132*f - 378*f - 68236 for f.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6390\/347 or 19?\nAnswer: 6390\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/19, -0.2, -1.23, -37?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-26)\/((r*r\/(r\/r**16)*r)\/r)*(((r**(-5\/6)*r)\/r)\/r)**(-7))**(9\/2) assuming r is positive.\nAnswer: r**(-543\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/6 - (-2)\/(-6). Suppose q*b - 91 - 4 = 0. Let a = b + -16. Solve 2*r = 6*c - 2*c - 26, 2*r = -a*c + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 18*n**2 + 12*n - 5. Does 9 divide s(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751 - -4\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshshhshhhssshsssss. Give prob of picking 1 s and 3 h.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f**5\/8 - 1167*f**4\/8 - 19809*f**3\/8 + 19095*f**2\/8 + 23001*f\/4 + 1035 = 0.\nAnswer: -15, -1, -1\/5, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6199462137 to the power of 1\/2, to the nearest integer?\nAnswer: 78737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**8\/40320 + p**7\/1260 - p**6\/90 + p**5\/10 + 10*p**2. Let x(j) be the third derivative of h(j). Factor x(o).\nAnswer: -(o - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7*i + 17 = 6*i, -o + 3*i = -11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1442*q + 1441. Give o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11141.718 * -0.14.\nAnswer: 1559.84052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(441)*3 + sqrt(441) + sqrt(441) + sqrt(441) + 1*2*sqrt(441))\/(-6*1*sqrt(192)*-3).\nAnswer: 7*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -847 (b) 2770\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -51, 11347, -2 in ascending order.\nAnswer: -51, -2, 3, 4, 11347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19186909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 13*u - 4592. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 748. What are the prime factors of 4224\/14 - (j\/77 - 9)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8848*d - 8. Let z(q) = -10*q - 1. Calculate r(a) - 10*z(a).\nAnswer: -8748*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 21. Let j be g(-16). Solve 29*n - 8 = j*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - u + 5*u)*(2439 - 3*u - 2419 - 5*u) in the form c*u + h + v*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.2 minus -13?\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1078 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 42097684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 8429428456*i + 8429428456*i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2 + 3 - 1 - 8*n**2. Suppose -21 = -4*p - 1. Suppose p*l = -0*l - 10. Let k(z) = 2*z**2 - 1. Give l*g(x) - 9*k(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 781342295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 119. What is the second smallest value in g, -5\/6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 341 + -339. Solve n = 2*z - 11, -2*z = -2*n - d*n - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133279418 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = i + 4*w + 17, -2*i + 2*w = -2. Let k be i\/(-1)*(-1 - -3). Let o = k - -11. Calculate the remainder when 29 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)*n\/n**(-19))\/((n*n*n**(-1\/27))\/(n*n\/(n*n**(-10)))) assuming n is positive.\nAnswer: n**(5461\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -a. Let n(d) = 4*d + 1. Let q(z) = -3*z - 1. Let x(w) = a*n(w) + 7*q(w). Suppose 3*o - 10 = o + 4*r, -3 = -3*o + 2*r. What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436387?\nAnswer: 1436387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 5*y - 12. Let k = -8 - -25. Suppose -27 = -y*x + k. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17512838829 + -428.\nAnswer: -17512839257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 12*c - 404 - 471 = -22*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u - 12. Let j be k(6). What is the common denominator of (-1)\/9*371\/21 and 3 - (-3 - 212\/j)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 6*j + 38. What is the remainder when z(6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -20 - 8*o**2 + 13 - o**4 - 4*o**4. What is the second derivative of c(r) wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 9. What is v(-8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/784 - 3*d**7\/245 - 9*d**6\/280 - 247*d**2. Factor t(x).\nAnswer: -3*x**3*(x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111011101 (base 2) to base 6\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/3 + 19)*78\/(-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46348 - 34003. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 6*l**4 + 5*l**4 - 5*l**4 + 2*l**3 + 0*l + 0*l + (-33*l - 150 + 150)*(2*l**3 - 3*l**3 - l**3) as p*l**3 + m*l**2 + v + j*l + c*l**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = h + 14, s - 6 = h. Let a(w) = w. Calculate a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/30*(-4)\/2. Solve 0 = u*v - 4 - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 2389*v**7\/210 + 227*v**4\/24 - v**3\/6 + v**2 - 10*v - 4. Find the second derivative of j(y) wrt y.\nAnswer: 28668*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1 - -4)*1. Let t(z) = 0*z**3 - a*z**3 - z + 4*z + 2 - 2*z - 3*z**2. Determine t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.7 (b) -0.5 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 7*g - 1. Let i be s(8). Suppose 24 = 2*k + 3*b, -b = -k + 4 - 2. Factor 2*o**2 - i*o**3 - k*o + 5*o**2 + 2*o**4 + 4*o.\nAnswer: o*(o - 2)*(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*c + 32*c - 55*c**4 + (2*c**3 - 2*c**3 - c**4)*(3 - 4 + 2) - 2*c**4 + c**4 + 3*c**4.\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 3021020*t\/11 - 1140820230050\/11.\nAnswer: -2*(t + 755255)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -49, -54, -41, -4, 63, 166, 311?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 108 = y. Let c be -6*((-2)\/(-2) - 3). What is the highest common divisor of c and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 9*w**2. Suppose -n = 3*d + 22, -4*n - n = -25. Let b be a(d). Suppose -6*f + 275 + 187 = b. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28128 + 0?\nAnswer: -28128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 116, 249, 434, 671, 960?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1258148*o**2 + 2*o - 4847261.\nAnswer: 2516296*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460*g + 17 = 1443*g. Sort 6, 4, -2, -4, g in descending order.\nAnswer: 6, 4, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from vqqcvhcqhvvvqqqx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -k*g - 5 = -25. Suppose 0*o + 3*o = g*y - 238, 4*y = -5*o + 183. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039119 to six dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1587)\/56856)\/((-4)\/(-16)) and 75\/2.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -15. Suppose -3*h = x - 106 - 4, -a*x = 2*h - 95. Let q be 11\/2 + 1\/(-2). Calculate the highest common divisor of h and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + 6*q + 4. Let y(o) = -o**3 - 8*o**2 - 6*o - 4. Let b(s) = -2*l(s) - 3*y(s). Calculate b(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4674*p**3*y**3 - 210*p**2*y**3 - 3*p*y**3 wrt p?\nAnswer: 28044*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {y: 2, k: 5, l: 1, h: 2, w: 2, q: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12034128, 12034133, 12034142, 12034155, 12034172, 12034193, 12034218?\nAnswer: 12034247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23628 - 23624. Which is smaller: 249\/65 or d?\nAnswer: 249\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89211722 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -0.73 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.645645 decades?\nAnswer: 1037.4774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 53544*s + 24112498. Determine c(443).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 8. Let p(l) = -41*l + 6. Let f be p(v). Suppose 4*j + 0*j - f = 0. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3847*o = -3848*o + 44703. What are the prime factors of o?\nAnswer: 3, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p - 490 + 970 - 488 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63637, 63602, 63589, 63610, 63677, 63802, 63997?\n\"Answer: 2*o**3 - o**2 - 46*o + 63682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205 is divided by 57?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -0.2, -1\/218 in descending order.\nAnswer: 0.2, 0, -1\/218, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195*m**2 - 200*m**2 - 46*m**2 + 102*m + 1 + 2*m**2 - 113*m to the form h + j*m + b*m**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 5, 10, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8350455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/2 - 14*m**3\/3 + 5*m + 2. Let v(g) = g**3 - 9*g**2 + 3. Let o be ((-4)\/14)\/((-19)\/532). Calculate o*v(u) - 5*s(u).\nAnswer: -2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -19. Let k(g) = g**3 + 12*g**2 - 18*g + 6. List the prime factors of k(a).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + 37\/7. Suppose -g - 5*d + 3*d = -119, 3*d - 363 = -3*g. Suppose -g = -v*y + 27. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2869.\nAnswer: -7\/2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169607696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + 6*q + 5. Let y be c(-5). Let b = y - -5. Let h = b + -6. Is h <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -46*s. Let v(y) = 92*y - 1. What is -5*r(b) - 2*v(b)?\nAnswer: 46*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 18*w - 277. Let b(u) = u - 21. Let z(r) = -13*b(r) + j(r). Let g(i) = -i**3 - 1 + 0*i + 2*i**3 - i + 3*i**2. Let h be g(-2). Calculate z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(1100)*1)**2*3*-4.\nAnswer: -13392 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 222*j + 8728. What is s(51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772*b = -789*b - 51. Sort 3, b, 16.\nAnswer: b, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + c - 1464 = -4*n, 3*c = 5*n - 7296. Suppose 2*m + 501 - n = 0. Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (-17)\/(-10 - 76\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 115*g**3\/3 + g + 17. What are the prime factors of l(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27243 and 220971?\nAnswer: 1988739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/18 and -47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*w**2 + 20*w + 1 + 76*w**2 - 6*w)*(2*w**2 - 4*w**2 + 4*w**2) in the form j*w**3 + h*w**2 + b*w**4 + a*w + d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25612637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*x - x**3 + 2*x**3 + x**2 - 5*x**2 + 2*x**2 in the form p*x**3 + w*x**2 + t*x + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 16. What is the least common multiple of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.01 (c) -1\/2 (d) 3\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from oqtqdddeotzqqodto?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.959286 micrometers to nanometers.\nAnswer: 5959.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-22)*155826\/(-6296)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkg when three letters picked without replacement from kkkkgkkkkkkkbgkbg.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(3*(sqrt(98) - (1 + sqrt(98))))**2*-5 - (-2 + (0 + (sqrt(98) - (sqrt(98)*1 + -5)) + sqrt(98))**2)).\nAnswer: -2346 - 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - 3.2801?\nAnswer: -3.5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6*u = -9*u. Solve -3*d - 5*d + 8 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2 - 5*q - 7. What is the hundreds digit of d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 31 = 4*m, m = -2*j + 51 - 3. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.55 + 3.608. What is m rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1827*n**3 - 6.\nAnswer: -1827*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 2. Let h be s(-2). Suppose h*m = 4*m. Solve -3*b + 2 + 7 = m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259083763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k*k*k)\/(k*k*k**4)*(k\/k**(1\/4))**33)**(1\/21) assuming k is positive.\nAnswer: k**(55\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-17)*(-24429)\/958?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 50*q + 234. Calculate u(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 + 255*k - 250 = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/360 - m**5\/15 + m**4\/4 - 2*m**3\/3 + 15*m + 28. Let x(a) be the third derivative of r(a). Determine x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -19. What is the third derivative of 2*v**2 - v**3 - 12*v + u*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {w: 6, v: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by -4\nAnswer: 89\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 6\/23, 228, 4, 2\/11.\nAnswer: 2\/11, 6\/23, 1, 3, 4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t + 4*x - 70 = 0, 141 = 3*t - 3*x. Let b = 65 - t. Calculate the least common multiple of b and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -3, 0, -0.2, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 - v**2 + 3 + 0. Let h be l(1). Suppose 2*f - 86 = -3*m, -5*f + m - 6*m + 205 = h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1007541 - 5?\nAnswer: -1007546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 4 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/10 - 17*s**4\/12 - s**3\/2 - 34*s. Let c(y) = -y**3 + 9*y**2 + 2*y. Determine 7*c(b) + 4*d(b).\nAnswer: b**3 - 5*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000125054 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 15 = -87*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 55*x - 109. Let c be q(2). What is the closest to -2 in 1\/7, 0.8, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -1)**2*1*-3*3.\nAnswer: -14166 + 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003252 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 divided by -1813822?\nAnswer: -673\/1813822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.12 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11368*d**2 + 198100*d + 488 = 0. Calculate d.\nAnswer: -1\/406, 122\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*g - 240 = 128*g. Calculate the greatest common factor of 64 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(93*160\/130944)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19251579 divided by -1?\nAnswer: 19251579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -11\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010111101100 (base 2) in base 7?\nAnswer: 201645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1814 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48481781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxqnnqnxxqxnx. Give prob of picking 1 x and 1 q.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.06 (c) 7 (d) 85\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7003 - -6996. Put i, 0, 2, 4, -3 in increasing order.\nAnswer: i, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -20. Suppose 4*r = 2*b + 94, -21 - 68 = -4*r + b. Let s = r + t. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/8)\/(-1 + (-16122)\/(-16128)). Let f = -1583 + z. Is f 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 {f: 1, i: 2, q: 7, x: 5, r: 1, z: 1}. Give prob of sequence fi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-282)\/(-90) + 10\/(-75). Solve 0 = -z*k + 16 - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5 + sqrt(125) + sqrt(125) + 2 + 5 + -5)*1)**2.\nAnswer: 140*sqrt(5) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - m + 5*m - 17, -5*m - 15 = -x. Let w = 6 + -5.5. Let k = 0.2 - w. Which is the second smallest value? (a) 2 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 154. What is f rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13740 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: Evaluate (296\/(-108))\/(((-464)\/(-108))\/(-58)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4995 divided by 185\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 9649.\nAnswer: -9649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 t when four letters picked without replacement from {e: 1, s: 6, u: 11, t: 1}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 5484?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387262743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 - 6*b - 4. Let g be h(-5). Let a be (3*g)\/((-12)\/(-8)). Suppose 3*n = a*n + 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 394, 1464, 3620, 7240?\n\"Answer: 63*v**3 - 24*v**2 - 7*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 + 363. Suppose 4*f = -f + m. Suppose 3*g - 12 - 24 = -5*w, -5*w - f = -3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -9*w + 1022. Let o = 147 - w. Solve -2*k + 2*j - o + 5 = 0, 5*k - j + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3185924 or 3186025?\nAnswer: 3185924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = b - 18, 3*b + 194 = 5*x + 228 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or 3\/193?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 306*m + 644. Let b(q) = -q**2 + 76*q - 160. Let g(p) = 26*b(p) + 6*x(p). Determine y so that g(y) = 0.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17892151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 7. Calculate l(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w - 57*w = 2*x + 28, 5*w + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -decba6a - 5?\nAnswer: -decba6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3760341, -7520689, -11281037, -15041385?\n\"Answer: -3760348*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702916 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542614895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.496 + -215.496. Let i = d + 205. What is the second smallest value in 1, 2, 4, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 1, y: 6, s: 4, m: 2}. What is prob of sequence ml?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-486)\/8505)\/(2\/56)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 57 = -282. Let k = s - 52. What is the highest common factor of k and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 23*r - r + 3 - 15*r.\nAnswer: 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 3364130 and 3364209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a**2 + 4*a + 2. Let p(f) = -8*f. Determine q(p(d)).\nAnswer: 704*d**2 - 32*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 485 and 12900127?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325\/2552 + -3\/1276. What is the second biggest value in -4, -15, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 11, u: 2}. What is prob of picking 1 u and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 4:03 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 367.1 - 367. Which is the second smallest value? (a) 0 (b) f (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 14 = 5*l, 219*a - 224*a + 2*l + 24 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 34 = -3*b, 2*b - 22 = -2*p + 6. What is the least common multiple of 1\/(-2) - 51\/(-6) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26235705*j**4 + 8707530*j**2 wrt j.\nAnswer: 629656920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3071 - -18114. Does 262 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l*l)**(-3)*(l**(2\/13))**39 assuming l is positive.\nAnswer: l**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 4*y + 4*v + 25, -3*y + 2*v + 93 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgmr when four letters picked without replacement from rgrgrrrkmkrrkmkrgkr.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5746.3 + 5745. What is the second smallest value in x, 2\/5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 + 9.74. Let r = a + -9.7. What is the second biggest value in 1, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1725 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227121446 is divided by 2289?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (272 + -253 + 1 + -12) - -30\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.9075 and -0.1.\nAnswer: -1.19075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*c. Suppose -5*z + 0*a = 3*a - 340, -269 = -4*z - c*a. What is the remainder when (-4)\/16*(3 - z) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 2*r + 2*d, -9*r + 5*r + 782 = 3*d. Suppose 193*l - r*l = -5. Solve 0 - 2*z**2 - 10\/7*z**4 + 2\/7*z**l + 4\/7*z + 18\/7*z**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279604*s**2 - 78820*s.\nAnswer: 559208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522885*w**2 + 118856*w - 2.\nAnswer: 1045770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.42 and 38113?\nAnswer: 930719.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13776081*w + 35609264 with respect to w.\nAnswer: -13776081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.44107 millimeters in kilometers?\nAnswer: 0.00000744107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -410\/653?\nAnswer: -410\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6 + 1. Suppose 2*j - 1 = -3*z, -3*z + 3 = -3*j + 6*j. Let a be 2*z*3\/(-6). Calculate the highest common factor of s and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 + 5*z + 3. Let k be d(-5). Suppose 0 = 3*h + h - k*b - 17, 5*h + 5*b - 30 = 0. Solve -2*y + h*q + 33 = 0, q + 4*q = -25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 h when four letters picked without replacement from vvhvvvvvvhvvv.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/i**(-2\/7))\/i)*i*i**6)**(-32\/5) assuming i is positive.\nAnswer: i**(-1504\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + j, f + 3*j = -j + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324295581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3315432679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -600*o**3 - 1277*o - 2068. What is the first derivative of d(l) wrt l?\nAnswer: -3600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 53083*o**2\/2 - 2*o - 2. Let l be w(-2). Let c = l - -41168. What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 1243*l**8\/336 - 37*l**4\/12 - l**3\/2 - 2204*l**2 + 2*l. Find the second derivative of q(t) wrt t.\nAnswer: 24860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b2d9 + -6?\nAnswer: 1b2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -42347*k. Let d(s) = 56*s. Determine d(v(n)).\nAnswer: -2371432*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93778183 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 4 = 0. Suppose -9*w + 9 + 27 = 0. Let u = w - 7. Sort u, b, 5 in increasing order.\nAnswer: u, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -1.6?\nAnswer: -233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -8, -191 in increasing order.\nAnswer: -194, -191, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6771 divide 3587032044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, -2\/1337, -5, -7, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -215, -397, -573, -743, -907?\n\"Answer: 3*t**2 - 197*t + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.49 * 270752\nAnswer: -403420.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5255757*v**2. Let f(r) = -4*r. Give o(f(b)).\nAnswer: 84092112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(17) + 0)**2 + 2).\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3 - 7. Suppose 4*j - q - 2 = 0. Solve -15 = 3*w - 5*o, 4*w - o + 2 = -j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/12 - 5*n**3\/6 - n**2 + 11*n. Does 16 divide m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 - 20922.7352081\nAnswer: -21021.7352081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -360 - 96*m + 360 + (1 + 2*m - 4*m - 3)*(1 + 3 - 1) as p*m + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -89. Solve -6*r = -2*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/60)\/1)\/(30\/12)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -2, -7, -5, -12, 0 in increasing order.\nAnswer: -57, -12, -7, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, a: 1, u: 2}. Give prob of sequence urua.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/(-22))\/((-1)\/(-576)). Let b be (-14)\/3*z\/84. Calculate the smallest common multiple of 14*(b\/(-28) + 2) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + v = -149, 3*v = 2*v + 1. Let p = 46 + b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 3:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 3 (c) 2 (d) 421\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -7)\/(3 + -5 + 3). Let u be (-4)\/(4*q\/10). Solve -13 - u = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 5. Let z(g) be the third derivative of -g**5\/120 + g**4\/24 - g**3 + 4*g**2. Let i(l) be the first derivative of z(l). Determine -5*i(h) - y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in -2, 2, 0.05, 1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16665 and -10.\nAnswer: 166650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346537.\nAnswer: 43, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*((-a + 0*a + 2*a)*(a - 2*a + 3*a) + 37 + 4*a**2 - 37).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*6)\/(-2)*628\/628.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/183 and ((-2)\/10)\/((-2496)\/(-77480)).\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212.996 - -2.396. Let b = -278 - l. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*w + 14*w**4 - 53*w + (0*w**2 + 2*w**2 + w**2)*(2*w**2 - w**2 + 0*w**2) to the form k*w**3 + m*w**2 + q*w**4 + y + z*w and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 192113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 130b1b9 (base 12) to base 14\nAnswer: 6d939b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6173616032 to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*d + 79, -3*d = 42*x - 39*x - 249. What is the remainder when 177 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let q(h) = 0 + 3*h**2 + 3 - 2 - 2*h**2. Let i(s) = 3*g(s) + 2*q(s). Find the first derivative of i(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 18 in descending order.\nAnswer: 18, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 12*f + 11. Let v be h(-10). Let j = v + -141. What is the units digit of ((-16)\/5)\/(4*5\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -0.8. Let w = 0.4 - d. Let g = -0.299 - -3.299. What is the nearest to w in -1\/3, g, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 4*d**5\/25 + d**4\/5 - 16*d**3\/15 - 8*d**2\/5 + 9. Let t(n) = 0. What is n?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 78, 0.2, 0.13, -4, -44?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 186936.\nAnswer: 560808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k - 150 = 0. Let o = 33 + k. Suppose 6 = 3*b - 9. Solve o*t + z = 11, 35 = 5*t - 2*t - b*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4194 is divided by 4156.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -121, -136, -107, -22?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/60 + k**4\/4 + 4*k**3\/3 + k**2. Let x be p(6). Factor -2*n**4 - 6*n**3 + x*n + 3*n**2 - 3*n**2.\nAnswer: -2*n*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -1.4. Let n = -4 - -7. Let j = n - 6. Which is the closest to x? (a) -1\/5 (b) j (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*v + 2372 - 3*v**3 + 204*v**2 - 1420 - 1185*v + 1928 = 0. Calculate v.\nAnswer: 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157998123 to the nearest integer?\nAnswer: 12570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.07 (c) 19 (d) 149\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 372.14 to the nearest integer.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6849*z**5 + 2*z**3 - 107071*z**2 wrt z?\nAnswer: -410940*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9117*k**2 + 18227*k**2 - 9111*k**2. Let z(p) = -3*p + 50. Let n(q) = -8*q + 151. Let f(a) = -4*n(a) + 11*z(a). Calculate w(f(t)).\nAnswer: -t**2 - 108*t - 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*1*(-3033)\/1011?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 6*l**2 - 9*l - 12. Let d be t(-3). List the prime factors of d*(-1 + (-145)\/(-25)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 - 5*q + 20. Let v(r) = 7*r**2 + 4*r - 19. Let n(j) = 6*f(j) + 7*v(j). What is the units digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48361*g + 687053 - 687053.\nAnswer: -48361*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9 and 101\/410.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 24. Let a be p(3). Suppose -u - 3*c - 7199 = a, -5*c + 34093 = -3*u + 12538. What is u rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 530, 2141, 4818, 8555, 13346, 19185, 26066?\n\"Answer: -v**3 + 539*v**2 + v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -0.326?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -6, -12\/11, 4\/191 in decreasing order.\nAnswer: 4\/191, -2\/3, -12\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 169\nAnswer: -13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + d + 1 = -1, 4*d = -3*i - 4. Let f = 3 + i. Let z be (f\/(-1))\/(3\/(-18)). Let b(x) = -2*x + 3. Let s(o) = 3*o - 5. What is z*s(y) - 10*b(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11515 = 4*n, r + 2*n - 1723 = 2122. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/2174 or 0?\nAnswer: -27\/2174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x = -6 + 49 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 - 148. Suppose j = 10*q + 12. What is the remainder when 3\/(-9)*-1*6 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 45395 + 45393. Solve 4*k - a = -q, 0 = -q - k - 0*k - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.1 and -1.7.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 32*a**6\/3 + 3*a**3 + 2*a + 148. Find the third derivative of z(x) wrt x.\nAnswer: 3840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24662.8 rounded to the nearest one hundred?\nAnswer: 24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*g = 19, -g = -k + g - 5. What is the lowest common multiple of k and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1158007112.4 + 1158007463.399999377. Let d = o - 351. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let s be o(3). Let u = -6 + s. Suppose -q = u - 8. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -6 (c) 0.05 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 15) to base 13\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 22. Let a be v(5). Solve -c + 9 = a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6473 (base 8) to base 2\nAnswer: 110100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231730 divided by -22?\nAnswer: -115865\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3 + 0*m**2 - 4*m + 5*m - m**2. Let w be p(7). Let h = w - -102. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6144*d**5 + 24*d**3*j - 27*d**2*j + 6*d*j + 33*d - 1 wrt d.\nAnswer: -368640*d**2 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13994 - -13994.5. Let w = -3 - -6. What is the nearest to -0.2 in w, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**22\/w)**(13\/2) assuming w is positive.\nAnswer: w**(273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 2. Suppose -2*o = -4*k + 16, 18 = 3*k - 4*o + m. What is the highest common divisor of k and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/126)\/((20\/(-7))\/((-4968)\/(-644)))?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 14*b**2 - 44*b + 42. What is the remainder when 520 is divided by f(6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/(-6))\/(10\/15). Let w be s\/(-9) - (-9 - -7). Sort w, 5, 2 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 + l**2\/2 - 58*l + 6. Let w = 74 - 64. Let i be t(w). Calculate the highest common divisor of i and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 less than 9110171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-50))\/((-2)\/10). Let z = -6 - -4. What is the third biggest value in d, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -40*z**3 + 56*z**2 + 56*z + 56. Let w(x) = x**3 - x**2 - x - 1. Determine 2*a(m) + 112*w(m).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(76\/16)\/19.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4751 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(40\/(-30)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 divided by -4?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 6 = 0. Suppose -b + 62 = 3*d, 5*d + u*b - b - 105 = 0. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*r + 91 = 0, -5*k = -3*r - 51 - 58. What is the nearest to 1 in k, 0.5, 3, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90582170?\nAnswer: 2, 5, 7, 1294031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2068 - 16?\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544818 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 - 2.4. Let k(v) = -v - 4. Let p be k(-3). What is the nearest to x in p, 6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7*c\/(c\/c**(-5\/4)))\/(c**(5\/2)*c**(-7)*c))**(-29) assuming c is positive.\nAnswer: c**(-1073\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 9*t)*(-3*t + 2*t + 4*t)*(2*t - t - 3*t).\nAnswer: -54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1511104 (base 6) to base 10.\nAnswer: -87088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7082372m in millimeters?\nAnswer: 708.2372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 58. Let a = c - -227. Let k = a + -118. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(153)\/(-1*sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4914602*-0.5.\nAnswer: -2457301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 6*z\/5 + 12\/5.\nAnswer: 2*(z - 6)*(z - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 5 (b) -0.4 (c) 12 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**2 + 0*k**3 - k**3 + 0*k**3 + 11*k + 0*k**2 - 12. Let f be d(9). Let l(s) = -5*s**2 + 6*s + 7. Let g(x) = 4*x**2 - 5*x - 6. Give f*l(n) + 7*g(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 105*y. Let g(m) = -6263*m. Calculate k(g(i)).\nAnswer: -657615*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpjpj. Give prob of sequence jpj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -38 = 2*l - d*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 120. Let p(g) = 14*g**2. Calculate p(q(r)).\nAnswer: 56*r**4 - 6720*r**2 + 201600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -125*5\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/23 (b) 2\/5 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 142104.56\nAnswer: -56841.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164806 or 164834?\nAnswer: 164806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54030 (base 7) to base 16.\nAnswer: -3456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 6:38 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**11)\/(z*(z*z\/(z**(3\/14)\/z))\/z))\/(z*z*z**(-2)\/z*z*z)**(-1\/2) assuming z is positive.\nAnswer: z**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 19. What is the remainder when o(11) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 602*g - 1342. Calculate v(2).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 733.12 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - 557*t - 3599. Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/288 and 990\/(-198) - (-721)\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-2\/3)\/y))**(-2\/5)\/(y**(2\/7)\/y**(-6)))**(-37))**(-2\/33) assuming y is positive.\nAnswer: y**(-5476\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7985*m**2 + 420*m + 6.\nAnswer: -15970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385833?\nAnswer: 3, 7, 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 1 - 7. Suppose 46 = 5*q - 4*m, -m - 8 = -2*q - o*m. Suppose 2*p + 4*b + 5 = 3, 0 = 3*b + q. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 10*p**3 + 46971*p - 46971*p + 57 - 30.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(-2) + 2. Let a = -29 - -23. Let t(c) = -c**3 - 8*c**2 - 11*c + 8. Let r be t(a). Solve -r*x - s = 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b + 73*b = 49. Suppose l - 2*i = -6, l - i + 2 = -b. Which is greater: -23\/2 or l?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 5. Suppose -9*j - 77 + 41 = 0. Put j, a, 0 in descending order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**3\/3 + 15*w**2 + 7*w + 63. Does 17 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.7 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 - 1721\/8. Calculate the common denominator of (-4)\/22 - 1854\/572 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41841 - 27548. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 24 = -3*b - 16, b - 36 = 4*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10904 is divided by 647.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:40 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 31*p**2 - 3828*p + 1909*p + 1916*p - 81*p**2 + (1 - 2*p - 1)*(7*p - 3*p - 2*p) to the form i*p**2 + w + s*p and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + -0.86. What is the closest to k in 0.3, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/930000 and -149\/7440?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(21\/8)*s*s*s*s**(-2\/15)*s**(-24)\/s*s*s*s*s\/s**(9\/13)*s*s assuming s is positive.\nAnswer: s**(-28783\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.5, -2098, 10\/3, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 150*q + 19 - 131 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*l + 392 + 778 = 0, -1791 = -3*m - 3*l. Suppose 0 = c - 3*r - 26, 3 = -r + 2*r. What is the remainder when m is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 544*z = -543*z + 7155, -20 = 4*z. Does 65 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*i**2 + 2*i**4 + 0*i - 1\/2*i**3 - 3\/2*i**5.\nAnswer: -i**3*(i - 1)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 18*u - 8*u. Suppose u*v + 2*p = 12, 13*v = 9*v + 4*p. Solve -v*f - 10 = -0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Let n = 4187 - 238642\/57. Let s = -2\/57 - n. What is the third smallest value in s, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8054.478 * -0.8\nAnswer: -6443.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251367?\nAnswer: 3, 23, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2024 + 2024.2. What is the third smallest value in g, -2, 0, 7, 13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 246293456*m**4 - 133376125*m wrt m?\nAnswer: 2955521472*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 2*s**2 - 1. Let y be l(-1). Let g = -2\/377 + -748\/1131. Which is the nearest to g? (a) y (b) 30 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-8) + (-7)\/(-56) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 40 = 34. Solve -r*g + 3*g = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minus -43423?\nAnswer: 43553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 6 - 7*j + 7 + 11 - 64 + 133.\nAnswer: -7*j + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 28*h + 81*h**3 - 98*h**3 + 17*h**3 + 2*h**2 to the form f*h**2 + u*h**4 + k*h + w*h**3 + v and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -603, -74 in increasing order.\nAnswer: -603, -74, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 832*u**2 + 54*u - 28 = 0. Calculate u.\nAnswer: -7\/32, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/3)\/((-161350)\/(-5532))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35*d - 130. Let l be w(3). Let o = -193\/45 - 6254\/315. Is l at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*h - 15 = 139*h, -2*h - 13686 = -3*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/473, 0.5, 4\/9, -2\/9.\nAnswer: -2\/9, 2\/473, 4\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890 - a - 13*a + a + 5*a + 890.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348 + 0?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 + 16\/(-32).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*v, -2*z = 3*v - 2 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700422905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-288)\/(-15)*(-25)\/(-2). Suppose 3*v - z = -2*v. What is the units digit of ((-3)\/(-2))\/(18\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12924 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -40. Let q be (-24)\/16 + 2\/(-4). Calculate the remainder when (-3)\/q*(-212)\/(-6) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {z: 1, x: 1, u: 1, g: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:03 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - 6*x + 2*x, 0 = -2*s + 3*x + 1. Suppose -s = -2*k - 0. Suppose j + k = 5. Solve -j*l = -5*n - 0*l - 5, -32 = -4*n - 4*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 18*r**2 - 32*r - 55. What are the prime factors of b(-16)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245652 - 165729. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5, -3, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9108856 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 354080 divided by 70816\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 638 * 0.72\nAnswer: 459.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**2 - 2040 + 2040 + 40*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.3 (c) 3\/2 (d) -1998 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 48*h + 1. Let x(w) = -49*w - 1. Let u(s) = -4*i(s) - 3*x(s). What is the units digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*p**3 - 5*p**3 - 3*p**3 + (-2*p + 1 - 1)*(-p**2 + 0*p**2 + 0*p**2) + (0*p**2 + 6*p**2 - 3*p**2)*(-2*p + 0*p + 6*p) + 3*p**3 - p**3 + 0*p**3.\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/39)\/(3*4\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 1\/3, 5 in descending order.\nAnswer: 5, 1\/3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 366, 30, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/2)\/(0 + -1). Let j be (298\/(-10) - 2\/r)\/(-2). What is the greatest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -4 - 2\/10. Let v = -94.8 - -95. Which is the nearest to v? (a) 5 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b**(2\/9))**20\/(b**(1\/2)\/b**(1\/3)*b**(-1\/6)*(b\/(b*b*b**(-7)))\/b) assuming b is positive.\nAnswer: b**(-185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-9)\/(-36) + (-247994)\/(-4). Suppose 12*h = 10*h + i. What is h rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76338036 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 52, 2*b + 13 - 13 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90522 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 34*a - 254. Let c be o(-16). Solve c*q = 18*q - 80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**3 + 25510*u**2 + 10557600*u - 63606996000 = 0.\nAnswer: -3180, 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 3*c)*(0*c - 3*c + 2*c) - 2*c**2 + c**2 + 0*c**2 + (157*c + 153*c - 327*c)*(-2*c + 0*c + 4*c).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -601726.2.\nAnswer: -601726.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:09 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:59 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -52 + -158 + 91\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98204537 - 98204767 = 115*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 21, -14, -85, -204, -383, -634?\n\"Answer: -2*n**3 + 3*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*v + 50 = -5*v, -36 = -2*u + 4*v. Suppose -10*i = -5*i - u. Let g(j) = 0*j**2 + 4*j**2 + 4*j**2 - 2*j**i. Let n(p) = -3*p. What is n(g(c))?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 2*u - 8*u + 4*u**2. Let d = 158 + -247. Let i = d + 94. Calculate p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 + 24*t**2 + 42*t**2.\nAnswer: 93*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10937*q - 56464*q - 16168*q.\nAnswer: -61695*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let y be ((-1)\/(-2))\/((-1)\/3). Is y less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -979?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/14345 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 3*z + 20 = 0, 3*w + 2 = -z. Let q be w*2 - (-406)\/105. Let t be 5\/(-2) + (-2)\/(-4). Sort t, 0.4, q.\nAnswer: t, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54099 and 0.3.\nAnswer: 16229.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4)*((8\/240 - -8) + -8).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165054, 660425, 1486048, 2641929, 4128074?\nAnswer: 5944489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*b - 14*b + 34*b + (-3 + 18 + 4)*(5*b - 2*b - 2*b).\nAnswer: 79*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.879 and 10853680.\nAnswer: 10853680.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k + 159. Let a be m(-20). Suppose 8*r + a - 3299 = 0. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.1, -0.2, 448?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 61723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 - 9*c + 12. Let o be u(8). Suppose -2*k + 4*f - 26 = -3*k, -176 = -o*k + 2*f. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (18 + -18)) + 33 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.9. Let q = 0.1 - 0.6. Let m = 29 - 28.6. What is the nearest to i in q, m, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 94*y**3 - 3*y**2 - 3*y - 3. Let g(k) = 15229*k**3 - 485*k**2 - 485*k - 485. Give 3*g(c) - 485*m(c).\nAnswer: 97*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + q**2 - 4*q**2 + 3*q**2 - 2*q**2 + q**2 + (-2*q + 0*q + 0*q)*(4*q - q - q) - q**2 - 1 + 1 - 8*q**2 - 11 + 11 to n + f*q + g*q**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 6, a: 2, e: 1, s: 4}. Give prob of sequence sh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let l = r + 5. Suppose -5*h = 2*p - 19, -9 + 6 = 3*p - 3*h. Solve 0 = p*z + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1025 and 2009?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five sevenths of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 7*z + z + 7. What is the remainder when h(0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 5 + 4)*(-j + j - 3*j**2)*(0 + 0 - 2*j) to the form w + q*j**2 + s*j**3 + b*j and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-423)\/207*(-1023)\/(-1705) + 0 + (-7)\/(-5)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217257 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 20384 + 287. Is s 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 (-342)\/(-285)*(-4)\/((-8)\/30) and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-11832)\/(-336) - 194\/140?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 10 - 6. Suppose m*d - 915 + 319 = 0. Suppose -5*x - d = -6*y + 2*y, -3*y + 4*x + 113 = 0. Solve -4*b - 6*n - y = -3*n, 0 = 3*b - 2*n + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -6*j + 11\/2*j**2 + 1 + 1\/6*j**3. Calculate i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74959808 and 686.\nAnswer: 524718656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (9 - 1 - (170 - 145)) - (-77 - 0).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 17*f**2\/2 + 13*f - 23. Let c be k(-9). What is c rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/2 + 21*t**3 + 147*t**2\/2 = 0 for t.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023 times 3?\nAnswer: -9069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -305, 2 in ascending order.\nAnswer: -305, -202, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(1\/11)))\/(x**11*x) assuming x is positive.\nAnswer: x**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/73 + 352\/1095. Let o(l) = -l**3 + 13*l**2 - l + 15. Let p be o(13). Let m be p + (2 - (-4)\/(-1)). Is m < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6720692 days?\nAnswer: 58066778880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 8808?\nAnswer: 8807.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*s**3 - g*s**2 + 848980*s**3 - 102*s**2 + s wrt s.\nAnswer: -6*g + 5093880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 20\/15)\/((-4)\/(-6)). Let r be ((-148)\/111)\/(k\/(-3)). Solve -7\/3*j - 2\/3*j**r - 1 = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(6 + 4 - 4)*(r - 3*r - r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 20*n + 54 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/((-429)\/(-72) - 6). Solve -x = -4*t + 3*d + 20, 24 = 2*t - 4*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:18 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 26813328.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(2057)*-2)**2 + ((-6*sqrt(17) + -2)**2 - 3*(4 + sqrt(17))).\nAnswer: -331*sqrt(17) + 132256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111875861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59305639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - 3 - -1 - (5 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*r + 16, 0 = 2*m - 6*m + 5*r + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -440.4097 to one dp.\nAnswer: -440.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/80*44*8\/4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.64 - 0.14. Let l = 9 - 12. Let i = r + l. What is the closest to 1 in -1, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-7)*(-3)\/((-27)\/(-33))*375\/(-4125).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -4. Let z be 4\/(-12) + 32\/t. What is the units digit of ((-2)\/4)\/(z\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(2057) + 3*(sqrt(2057) + -1*sqrt(2057)) - (sqrt(2057)*3 + 5 - sqrt(2057)))*-2))**2*5.\nAnswer: 10560*sqrt(17) + 167440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o - 86*o - 1120 = 0. Let x be (-15)\/(-4) + 8\/(o\/21). Solve x*f = -9, 5*z + 26 = -7*f + 5*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 3*s**8\/952 - 52*s**7\/1785 + 7*s**6\/68 - 41*s**5\/255 + s**4\/17 + 8*s**3\/51 + 5*s**2 - 19. Solve d(h) = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - -87 - (58 - 11).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -7 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133.5037 and 0.1?\nAnswer: 133.4037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 + 2. Let v(a) be the first derivative of -7\/3*a**3 + 29 + 0*a**2 - 3*a. What is -3*h(y) - 2*v(y)?\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-15)*-140*(-7)\/392\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 963 + -1472. Let v = s - -746. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-134)\/3819)\/((3\/1)\/9)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 2256.\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5*-86*(-8)\/194360?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 + 5*j + 3. What is the remainder when d(5) is divided by (12\/(-15))\/(6\/(-105))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 381967, 763934, 1145901?\n\"Answer: 381967*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:02 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 2*o + 0 - 1\/21*o**6 + 0*o**2 - 1\/42*o**4 + 4\/35*o**5 - 2\/21*o**3. Factor r(v).\nAnswer: -2*v*(v - 1)**2*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**10\/75600 - n**9\/10080 + 3*n**5\/10 - 2*n**2. Let o(d) be the third derivative of k(d). Factor o(i).\nAnswer: 2*i**3*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 103 - -3 - (-252)\/42?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 794, 1070, 1332, 1574, 1790?\n\"Answer: -u**3 - u**2 + 286*u + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 23715 + 24652 + 19568 = 0. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30630.83439 - 0.1604.\nAnswer: -30630.99479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, -11, 4, -62, -5 in descending order.\nAnswer: 4, -5, -11, -62, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 2. Let w be k(-3). Solve 2*l + w = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31789, -63648, -95507?\nAnswer: -127366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 3935. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 9 + 43 = -4*i, 2*v = i + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1049*v + 828*v + 2111*v + 314*v + 1587*v to the form r*v + c and give r.\nAnswer: 5889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose 4*v = x - 0. Let j = 22 + -18. Solve 9 = j*b + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1976*c*h**2 - 624*c*h - 3487*c - 3*h - 113 wrt h.\nAnswer: -3952*c*h - 624*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 12. Let m be v(6). Suppose m*x = 16*x - 144. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1123959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 297342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 27 - 7 = 0. Suppose 0 = 2*c + n - 42. What is the greatest common factor of c and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*y - 1316 = 0, -3*w + y = -3*y + 1318. Let h = w + 750. Suppose -4*f + h + 92 = 0. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 201*i. Let x(v) = 3*v**2. Determine t(x(r)).\nAnswer: -9*r**4 + 603*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -49, 2, -1189 in descending order.\nAnswer: 2, -4, -49, -1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 16*b + 11. Let d(u) = -u**2 + 81*u - 1510. Let y be d(52). Determine g(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 30. Determine c(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1010784 divided by -48\nAnswer: 21058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2706 - 9386 - 2329)*(2*m**4 + 2*m**4 - 5*m**4).\nAnswer: 14421*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66123 - -1200059\/18. Let d = -548 + u. Let y = -779883\/310 - -12574\/5. Calculate the common denominator of d and y.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11441294 and 2449.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20084989 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/4*(-45)\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/(-5))\/(8\/20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2665 take away 6?\nAnswer: -6.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4716965ml in litres?\nAnswer: 0.0004716965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 933098 and 82?\nAnswer: 38257018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 2. Let z be b(3). Let y = -4 + z. Suppose y = 5*p - 4*p - 560000. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -9, 0, 4, 6\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129906 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6721455.1 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1525 + 6059\/4. Suppose -5*c + 3768 = w, -331 + 3358 = 4*c + 5*w. Let l = c + -2927\/4. Calculate the common denominator of m and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -0.1 (c) -6 (d) -2\/55 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/691 + 32639\/12438. Find the common denominator of x and (-7)\/3*14*42\/(-112).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.7. Let j = 50 - -5. Let x = 55.1 - j. What is the closest to v in x, 0, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 52. Let x(i) = 39*i + 515. Calculate the remainder when y is divided by x(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 16. Let r be 9\/(-195) + (1\/2 - 51\/170). Which is the second smallest value? (a) n (b) r (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89\/5 - -989\/55. Which is the nearest to 0.1? (a) 1 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 2*x + 2*x + (-2*x - 2*x + 9*x)*(1 + 1 - 4) + 0*x + 0*x - 2*x + (-5 + 1 - 3)*(1 + 0 - 4)*(-2*x + x + 0*x) as s*x + q and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let p(b) = -89*b - 4219. Determine p(j(o)).\nAnswer: 178*o - 4219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-2*z - z + 2*z)*(1 + 1 - 5) + 2 - 2*z - 2.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*g + 5*g - 102*g)*(-g**2 + 2 - 2).\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Find the second derivative of -7*o + 2*o**v - 3*o**3 - 3*o**3 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x + 2. Let p be f(-3). Let j be (-1 - 0)\/(p\/1). What is the remainder when j - ((-3 - -2) + -11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25624434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 4*b + 0*b)*(-2 + 2 - b)*(1 - 1 - 3).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) - 512\/(-28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 less than 249532\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237 or -44\/317?\nAnswer: -44\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 215453.4 to the nearest 100.\nAnswer: 215500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55814?\nAnswer: 2, 11, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Suppose -3*d + 31 = l. Calculate the least common multiple of d and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*j**2 - 45 + 5\/2*j**3 - 313\/2*j = 0. What is j?\nAnswer: -1, -2\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 7*p - 58 = 15*p, 6 = 3*q - 2*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5557 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2195382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 - 3*o + 20. Suppose 8*n - 9*n = -3. Suppose 5 - 23 = -n*k. Let y be b(k). Solve 0*m + 4*m = -2*g + y, -5*g - 13 = 4*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let v be 2*258\/48 + 1\/4. Let k = -21 - -30. Let m(j) = -k*j + v*j - 2*j + j**2. Give m(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 16.09835814?\nAnswer: 19.09835814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Suppose 3*o + 5*g = 3, 3 = 3*o - 41*g + 39*g. Let k(d) = d**2 + 6*d + 1. Give o*k(b) + 4*f(b).\nAnswer: b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 19*p - 26. Let c be h(17). Let i(v) = v - 26 - c*v + 8*v. Let o(j) = 2*j. Determine o(i(b)).\nAnswer: 2*b - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -k + 19, 0 - 2 = 2*k - 2*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 - 13*i + 2. Let x be p(7). Let v be (-8)\/x*0\/1. Solve -2*c - 5*w - 14 = 0, -4*c + 2*w + v*w - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329*0.5.\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -250275619 divided by -77653\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14312? (a) 4\/11 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 6*c + 3*c - 6 - 49, 0 = 26*l - c + 255 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -18*c. Let x be (-93)\/(-18) + (-2)\/12. Suppose -5*k - 5*d = -30, -d - 28 = -x*k + 2. Calculate the least common multiple of l(-1) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73010633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -4*f + 6*f - 70. Solve f = 3*m - 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1655 and 117836?\nAnswer: 589180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwoovveoouuuucuu. What is prob of sequence wuvv?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179749513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701445145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 40. What is the units digit of (-12)\/q + (-190)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 43*f - 1002. Let x be j(24). What is the greatest common divisor of 2085 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -51, 144, 413, 756, 1173, 1664?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Suppose 0 = -3*m - 15, y*f + 4*m + 5 = -f. Let l = 18.1 - 18. Which is the third smallest value? (a) l (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e4f3 (base 16) in base 8?\nAnswer: 362363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {c: 4, i: 7, e: 1, k: 4, u: 1, y: 2}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -174\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.394 and -0.6.\nAnswer: 8.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13871, -2, 4, -2\/13 in increasing order.\nAnswer: -2, -2\/13, 4, 13871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a82b - 0?\nAnswer: -a82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001714177007 to 6 dps.\nAnswer: -0.001714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2018946*l**3 - 1860089*l**3 + 1273665*l**3.\nAnswer: -2605370*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222000122011 (base 3) to base 4.\nAnswer: 1331003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 69. Suppose 0 = j*q - 5*q - 111. Solve s + 0*u + 2*u = -11, 5*s + 4*u + q = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 - 13141026*y**2 - 21585603713022*y + 712339233178914 = 0.\nAnswer: -3285273, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2581.1392 rounded to the nearest ten?\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -12120111?\nAnswer: 12112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323 and 242\/847 - 66\/(-14)?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellllllllllllllelele. Give prob of sequence le.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + sqrt(98)*2*3 + -1*sqrt(98)*5 + sqrt(98))*-4 + 5)*6 + 3 + -5)**2.\nAnswer: -28224*sqrt(2) + 508816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 3. Let q be h(-6). What is the nearest to 2\/9 in 1\/2, q, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*(399\/2090 - 2\/22). Let -6\/5*f**3 - 1\/5*f**5 - u*f + 4\/5*f**4 + 0 + 4\/5*f**2 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61484, 54460, 47436?\nAnswer: 40412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 25 + (310 - 329).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-654)\/(-24) + (6600\/(-48))\/(-55) + (-1)\/2\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/35? (a) 4 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 491 = -8*m + l, 2*m - l = 243. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137 and -0.0523177?\nAnswer: -7.1675249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 205a12 + -4?\nAnswer: 205a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 5, 6, -2 in descending order.\nAnswer: 60, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + r**2 - 6*r**2 + (-2 + 1 + 0)*(3*r**2 + r**2 - 6*r**2) + 2*r**2 + 0 + 0 + 30*r**2 - 3 + 4 - 30*r + 28*r in the form l*r**2 + k*r + n and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (-14 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-42 - -51) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 32\/15. Let f = -13 - -13. What is the fourth smallest value in v, f, 5, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 8299521. Let g(k) = 2*k**2. Give w(g(y)).\nAnswer: -2*y**2 + 8299521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2873828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 1059*v\/8 - 265\/4.\nAnswer: (v - 530)*(2*v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.271? (a) 16 (b) 10 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4771051576 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/4, -2\/7, -2\/3, -2.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/3, -11, 5\/4, -35 in ascending order.\nAnswer: -35, -11, -2\/3, -0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*t - 4 = 202*t. Which is the closest to 1\/3? (a) 0 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (195\/(-169) + 6\/39)*-7. Suppose -3*f + 2*n = -g, 2*n - 9 = -5*f + 8. Determine x, given that 0 + 0*x**2 + 0*x - 2\/9*x**f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 92*u - 96*u. Suppose -5*k + 158 = u*t, 5*k + 199 = -2*t + 6*t. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -157 in decreasing order.\nAnswer: 4, 0, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*b - 4*b. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029*-2\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x)\/x**(-1)*(x\/(x\/(x**(-1)*x)))**(-1\/5) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*j - 8 = 0, -4*j + 2*j - 16 = -5*s. Solve -3*k = -17 + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gys when three letters picked without replacement from {s: 1, y: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61692.9 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20379, 43\/27, -4 in ascending order.\nAnswer: -20379, -4, 43\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*2*sqrt(98) + -3 - 3*(0 + 5*((sqrt(98) - (sqrt(98) + (sqrt(98) + 2 - sqrt(98)))) + sqrt(98))))**2.\nAnswer: -13230*sqrt(2) + 120779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 2*u**2 + 2*u - 5*u + 0*u. Let s(h) = -h**2 - 4*h. Suppose i + 20 = -13. Let q = -35 - i. Give q*s(r) + 3*x(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 3*u - 4 + 0*u**2 + u**2 + 5 to z + j*u + q*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 6. Let g be y(4). Suppose o - 4*u = 465, -g*o + 3*u = 3*o - 2274. Suppose t = o + 44. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Suppose a - f = -3. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 74.5. Which is the second biggest value? (a) 2\/7 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, -101 in decreasing order.\nAnswer: 1\/4, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -467.941 - -468. Let x = u - 4.059. What is the nearest to -0.2 in x, 2\/3, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (169*h - 448*h + 223*h)*(0 + 1 - 3) to the form p*h + i and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*m - 264, 9*o = 8*o + 2*m + 280. Let a = -254 + o. Calculate the remainder when 69 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -7*m**6\/3 - 9*m**2\/2 + 4. Find the second derivative of q(v) wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*z + 6, -5 = -i - 2*z + 6*z. Suppose 0 = q - 3 + 1. Solve -q*f + i = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z - 0*z. Let n be 3\/((z - 0)\/(-7)). What is the third derivative of n*u**3 + u**5 + 3*u**2 - 21*u**3 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 - 2*b + 2. Determine s(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3120 and 20.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*x + 14*f = -2158*x + 26*f + 168, -7*x = -2*f - 314 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(54) - sqrt(216))\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6358*y - 69441*y - 323821*y - 133096*y. Let j be (-15)\/12 - 2\/(-8). Let w be c(j). Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -34*l**2 - 75*l - 204. Determine n(-3).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121095 by -1755.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1331) + 2)*-4 + sqrt(1331) - sqrt(1331)).\nAnswer: -44*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 10945.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410265 divided by 405.\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/240 + (-13)\/(-39))*(-35)\/8\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 + 2*d + 1. Let j be q(-1). Suppose 2*n - 3 = -2*c + 3*n, 0 = -4*n - 12. Suppose j*b - 5*x = 0, -2*b + c*x + 3*x - 4 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3)\/(-18*(-4)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -74*l**2 + 4*l - 1. Let c be b(1). Let w = c - -84. What is the remainder when 60 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 3. Let l be j(-3). Suppose -l*r = 15, 2*r + 779 - 142 = 3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7211969952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1638 and 1833?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 61. Let o be 4 - -4*(-2)\/(-8)*a. Differentiate -36*d**o + 21*d**3 + 8 + 18*d**3 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 42042525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 6, n: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**4\/6 + 411*d. Let b(q) = 681*q**2. Determine i(b(z)).\nAnswer: -927522*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 - 4*s + 3. Let z be i(-5). Let g be z\/(-6) + 3\/(-9). Suppose -5*w + 39 + 41 = g. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8965*c**3*v**2 + 11251837*c**3 - 311*v**2 with respect to v.\nAnswer: -17930*c**3*v - 622*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*w. Suppose -38*u**w - 24*u + 80*u**4 - 44*u**4 + 2*u**3 + 16*u**2 = 0. Calculate u.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 12 + 156. Is 36 a factor of -336*4\/(o\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26852 divided by -6713.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -v + 37, 12*n = 15*n + 4*v + 30 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1*6)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 - 9*x. Let i(g) = 14*g**2 - 26*g. Calculate 17*f(r) - 6*i(r).\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 4*s - 3*s. What is the common denominator of 4\/(-14) + 685\/s and 62\/(-12) - 9\/(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*32\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27787\/(-23667) - 8\/24. Let s = f - -10\/343. Find the common denominator of (-4 - -3) + 267\/30 + -2 and s.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1103*u**3 + 2134*u**2 - 478540*u + 93.\nAnswer: -6618*u + 4268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51*((-110)\/(-12) - (-21)\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*y - 261*y - 7244 - 4598 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 7. Let t be j(-3). Let a = -4 - t. Let v = 9 + a. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37680 and 5024.\nAnswer: 75360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -7*w + 150 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g - 12. Let m be (-16)\/g*153\/(-476). What is the nearest to -9 in 3\/2, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-4)\/(-8))\/(1 + -2). Let l(x) = -x**3 - 24*x**2 - 39*x + 106. Let d be l(-22). Which is the nearest to 2? (a) f (b) d (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - z**2 + 4)*(4 - 4 - 2)*(3*z**2 - 4*z**2 + 2*z**2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11033 + -11017. Which is the second smallest value? (a) o (b) 41 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 8*w - 28 = -4*k, 3*w - 2*k - 23358 + 23367 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-4 - 0)*5. Let p = -2 - f. Suppose p*w - 43 = 38. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 6*l**3 - 2*l**2 + 20 + 8.\nAnswer: 6*l**3 - 2*l**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 13, -2, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = o + 15, t - 2 = -o - 8. Let r = 13 - 6. Let x = r - t. What is the highest common factor of 176 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74307, 74297, 74281, 74259, 74231?\nAnswer: 74197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a + 1447*a**2 + 1264*a**2 + 6*a. Let z be v(-1). Let m = 4510 - z. What is m rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Let c(b) = -33*b**2 + 34*b**2 - 69*b + 3788 - 3787 + 68*b. Let l(t) = -3*t**2 + 7*t - 6. Give g*c(j) + l(j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17224 - 4?\nAnswer: 17220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 1135 = -1054. Solve -8 = 2*w + 4*a, w - 4*a = -l*a - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - -74) + -14 - 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 4*j**2 - 2*j**2 - 2*j**2 in the form x + a*j + h*j**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(468)*1 + -5)**2 + -2)*3.\nAnswer: -36*sqrt(13) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(-2\/19) assuming u is positive.\nAnswer: u**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-4)\/1))\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -242240370 divided by 1138\nAnswer: -212865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 divided by 10636?\nAnswer: 313\/10636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -30. Calculate the remainder when 102 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24899975 = 3*g - 5*u, 3*g + 2*g - 4*u = 41499980. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*j = -i + 30, -55 = 4*i - 3*j. Suppose -222*r + 5*c + 14 = -221*r, 4*r + 5*c = -69. Let z = i - r. Solve z = -3*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 1782*u**4 + 15849*u**3 + 31578*u**2 - 7092*u - 42120 = 0. Calculate u.\nAnswer: -585, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966134.\nAnswer: 2, 3, 327689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -845\/17 - -9465\/187. Factor 2\/11*s**2 + 8\/11*s - i.\nAnswer: 2*(s - 1)*(s + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -6*a + 22*a. Is a bigger than -4\/403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b - 2013 = -89*b. Is b at most 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 8*j = 3. Let h(v) = v**3 + v**2 - 4*v + 1. Let g be h(-3). Put j, 2, g in descending order.\nAnswer: j, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*l = -3*l - 13, 4*l + 7 = -5*h. Let d be (-4)\/(-6) - (-9 - (-205)\/h). Let f = d - -37. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**4*t**2 - 1791*j**3*l**2 + j**2*l + 22*j**2 + l**2 + t**2 wrt j?\nAnswer: -96*j*t**2 - 10746*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t. Let x(h) = -7*h. Let g = 6 - 0. Let k(l) = g*w(l) + 13*x(l). Let b(v) = 3*v**2. What is b(k(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -84924 and -84924 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1820 (b) -10 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - z + 1. Let g be x(1). Let s = 478\/5 + -96. Let h be (0 - 0) + -1 + 3. What is the second biggest value in h, s, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t + t**4 + 1 + 251*t**2 - 5*t**3 + 245*t**2 + 1 - 7*t**3 - 498*t**2 to a*t**4 + j*t**3 + s*t + k + i*t**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/55)\/(21\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 3.\nAnswer: 163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.93032 to one decimal place.\nAnswer: 35.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/63)\/((-3)\/9). Which is the closest to x? (a) -1 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - 5) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-12)\/(-3) - (-14 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 102617982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, -4, -73, 38 in descending order.\nAnswer: 38, 5, -1, -3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*o - 18 = r, -7986*r = -7997*r + 5*o - 122 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Differentiate -3 + t + 4*z - 6*z with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 3, 0.3 in increasing order.\nAnswer: -41, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6) + (-215)\/129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3 (c) -50 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (5*sqrt(2205) - sqrt(45)))\/((sqrt(81)*4)\/sqrt(9)).\nAnswer: -33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 4*x, -h + 3*x - 7 = -1. Solve -2*j - m + 4 = h, 3*m - 2*m = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.16, 0, 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3232, -7400, -11548, -15670, -19760, -23812, -27820?\n\"Answer: k**3 + 4*k**2 - 4187*k + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*o**4 - 5 + (o**2 + 1 - 1)*(3*o**2 - 5*o**2 + 3*o**2) + 3*o**4 + 0*o**4 - o**4 - 916*o**2 + 6 + 916*o**2 + 2*o**4.\nAnswer: 3*o**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14869 + -14869.9063. What is u rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Suppose 571*g + 7 = 576*g + 2*r, -2*r = -3*g - 15. Which is the second biggest value? (a) d (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10 + 25. Let u be 2 - -3*2\/x. Suppose -2*n + 3 = 1. Sort u, n, 5 in decreasing order.\nAnswer: 5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22217, 22214, 22211?\n\"Answer: -3*u + 22220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**1 assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 1. Let l(m) = -295*m - 10. Let v(a) = -i(a) + l(a). Suppose 19*r + 10 = 14*r. Let g be v(r). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*k*x**3 + 77*f*x**3 - 93*f*x**2 - 3*f*x - k*x**2 - 9*x**3 wrt x.\nAnswer: 12*f*k + 462*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 - 2*i - 1. Let r be h(2). Let o be r*21*138\/(-18). Let b = o + -106. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 133461?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -171, -148, -123, -96?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*2\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(5 - 5 - 2*a)*(-5 + 1 - 5)*(-2*a**4 - 3*a**4 - 3*a**4) + (2*a**2 + 2*a**2 - 2*a**2)*(-4 + 4*a**3 + 4).\nAnswer: 152*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 + -3.1. Let v = 981 - 983. Put v, -11, s in descending order.\nAnswer: s, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 1. Let a(t) = t**2 + 98*t + 463. Let w be a(-5). What is s(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 332*l**2 + 44*l - 1943. Is x(47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8623\/12 - 718. What is the common denominator of d and 75\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*t + 42*t + 1431 + 1609 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*m - 4 = 0, 4*b = 2*m + 2*m - 20. Let q = b - -5. Let z be (-68)\/(-8) + q\/4. Solve 2*k + 1 = -z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3582, -11451, -3, -4 in descending order.\nAnswer: 3582, -3, -4, -11451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1368, -1357, -1332, -1287, -1216, -1113, -972, -787?\n\"Answer: p**3 + p**2 + p - 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -495 - -531. Calculate the common denominator of -37\/20 and (-4)\/i*-6 + 374\/(-852).\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, -240, -858, -1476, -2094?\nAnswer: -2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 0*r + 3 - 1)*(-23977 + 7926 - 34736 + 1058) to the form z*r + v and give z.\nAnswer: 149187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 125520.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/9 (b) 411 (c) -0.2 (d) -3\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 + 335. Suppose -5*u + g + 1050 = 0, 3*u - 2*g = 448 + n. Suppose 0 = 7*x - 1457 + u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/109 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -124\/3*k**3 + 22*k**2 - 2*k + 10. Find the second derivative of u(x) wrt x.\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 85090*z\/3 + 1532592.\nAnswer: -(z - 54)*(z + 85144)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(4\/7)\/m))\/m**19*m**(-1\/6)*m**(5\/6))**(-7\/10) assuming m is positive.\nAnswer: m**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 3*j + j)*(1 + 3 + 5 - 2*j) to m*j**2 + f + t*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 + -193. Suppose 64 = -r + u. Let o(s) = 15*s + 1 - 3*s - 1. Let j(m) = 4*m. Give r*j(d) + 5*o(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 5\/8*z**4 - 29\/120*z**6 + 0*z**5 + 44*z**2 + 0*z + 0 + 0*z**3. Find the second derivative of i(f) wrt f.\nAnswer: -174*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-630)\/(-9)*29*(-25)\/(-10150)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4 + 55\/10). Let c(h) = -4*h - 3. Give c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - -0.16. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 - -224. Solve 0 = -7*d - z - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7*z + 1)*(4251 + 2501*z - 4251) in the form w*z**2 + c*z + k and give w.\nAnswer: 17507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -405?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12970 divided by 2\nAnswer: -6485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 8 - c - 1)*(2 - 5 + 1 + (-3 + 7 - 2)*(5 - 4 + 0) + 0 - 4 + 5 - 3 + 4 + 1)*(-2*c + 6*c - 3*c) to d + w*c**2 + n*c and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**4 + 404058*i**2 - 2*i + 20063765.\nAnswer: 12*i**3 + 808116*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.67, -1, -0.5, 0, 2\/13, 1\/2?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*(-20)\/(-104)*1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 q when three letters picked without replacement from ffmmfmfjmffmqqmfm.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000108396 rounded to seven decimal places?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*x - x + 97, -4*f = 2*x - 346. Let g = f + -31. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3 + (-2 - 2 + 3)*(3*a - 5*a + 5*a))*(3*a - 3*a - 2*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**3 - b**2 - b - 3. Let i(g) = 3*g - 6*g + 4*g - 2*g - 2. Let u be i(0). What are the prime factors of h(u)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.017 and -69051.8089588.\nAnswer: -69051.7919588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) + 2*92\/56. Let w be 1\/r - 10409\/(-21). Suppose w + 12 = 2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w**2 - 3*w**2 - 2*w**2)*(-1 - 5 + 4)*(11*w**2 - w**2 + 5*w**2) in the form r + h*w + x*w**2 + k*w**4 + f*w**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 59*m**2 - 305*m - 67. What is a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166143755.49766 - -166145305. Let k = -1516.502 + n. Let t = -33 + k. What is t rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 379*w**2 - 660*w - 2353248 wrt w.\nAnswer: 758*w - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/v)\/v*v*v\/(v\/v**(-2))*v**(-1\/3)*v*v*v\/(v*(v**(3\/4)\/v)\/v))\/((v**(-1\/4)\/v)\/v**(2\/15)*v**2*v*((v**(-1\/8)\/v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(217\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*d + 72, 5*d + 0*p = 4*p + 96. Factor -52*b - 1156 - 5*b**2 + 2*b**2 + 0*b**2 - d*b + 2*b**2.\nAnswer: -(b + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6 + 3 + 3*u + 1 - 5. Calculate the remainder when 29 is divided by o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - z**2 - 4*z. Let k(c) = -c**3 + c**2 - c - 1. Let q(j) = 4*k(j) - l(j). What is q(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.232 in 0.1, -0.2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*-4 - (-30)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 6, -2, -260 in ascending order.\nAnswer: -260, -5, -2, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {n: 1, f: 3, q: 1, m: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 + 108 = 72*m - 822. Calculate the lowest common multiple of m and 390.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 30*o - 41*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:23 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + 5. Let l = 0.2 + k. Let c = 11.1 + -13.1. Which is bigger: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*q**2 - 30*q**2 - 2 - 14*q**2 + 1 - 6*q**2 - 13*q**2.\nAnswer: 5*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2640 divided by 110\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-28))\/(-2 + 24\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -2, 17 in ascending order.\nAnswer: -5, -2, -0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/15))\/m**2*m**2\/(m\/(m**1*m)*m) assuming m is positive.\nAnswer: m**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**7\/630 + h**4\/4 - 45*h. Let j(b) be the third derivative of g(b). Let d(m) = 11*m. What is j(d(n))?\nAnswer: 484*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599141.\nAnswer: 37, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 16 = -92*d + 93*d, 0 = d - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006910953 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - 18) + -13 + 1 + -11.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from bpbbbppbpbbbbbpbbbb?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6666943, 6666939, 6666933, 6666925, 6666915?\n\"Answer: -h**2 - h + 6666945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -1084.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 + 34 + -15 + 41 + -8?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 11. Let a be v(11). Suppose -2*t = 2*g - 64, t - 5*g + g - 7 = a. Let s(m) = m. What is the remainder when t is divided by s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:21 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)\/(8\/(-40)). Suppose -2*c - m = -11, -d*c = -5*m - 7 - 13. Solve c*f + 30 = 5*o, -4*f + f - o - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33006249*v**3 - 69218*v + 204 wrt v?\nAnswer: -198037494*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 17877\nAnswer: 53631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14841 and 15453.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55*(-14)\/308*108\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 37 = -2*h - 613 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/((-48)\/33 + (-12)\/22). Solve -7 + 13 = -v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)\/(s**(-1\/13)*s) assuming s is positive.\nAnswer: s**(-62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 25*w + 8. Let i(n) = -71*n - 23. Let j(d) = 6*i(d) + 17*l(d). What is j(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 8. Let z be a(-6). Suppose 15*l - 102 = z*l. Calculate the remainder when l is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -146042*b + 1169. Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*r**2 - 4*r - 1930*r**2 + 640*r**2 + 643*r**2 + 0*r.\nAnswer: -5*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1170)\/(-26))\/((-2)\/(-8)*(-232)\/58).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 126, 172, 204, 216, 202, 156, 72?\n\"Answer: -q**3 + 2*q**2 + 55*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p + 80. What is a(-23)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 4*i**4\/3 + 21*i**3 + 916*i**2. Give f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 2*d + 263 - 263 - 5*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*p - 10, -4*q + 11 = -4*p - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2231, -2228, -2215, -2186, -2135, -2056?\n\"Answer: a**3 - a**2 - a - 2230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753666.\nAnswer: 2, 876833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 5*v + 3. Let z(w) = -w - 3 - w**3 + 0*w**2 + 4 - w**2 + 7*w**2. Let y be z(6). Let c(q) = 2*q - 1. Determine y*c(h) - 2*s(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4 - 14 + 10.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5 - -1) + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/9, 1, 0.08, 12910\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89276716.\nAnswer: 2, 22319179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 907, -2 in increasing order.\nAnswer: -2, 5, 13, 907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 2*h**5 + h**5 - 2*h**4 + 2*h**4 + h**5 + (-2*h**4 + 2*h**4 - h**4)*(-2*h - h + 2*h) + 3*h**5 - 4*h**5 + 2*h**5.\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2123 + 2106.03. Let q = d + -0.03. Let k = 16.972 + q. What is k rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 8840310?\nAnswer: 8840309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*p + 46 = 2*p, 29 = a + 4*p. Suppose 0 = 2*h + j - a, -5*h - 8 = -4*j - 24. Solve b = k - 3*b - 20, -2*k + h = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5 + 28*p**4 + 904*p**3 + 968*p**2 - 16260*p + 14364 = 0.\nAnswer: -9, -7, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 4*d - 1. Suppose -w - 1 = 0, -3 = 4*q + w - 2. Suppose q = -2*p - 0*p - 8. Let j be s(p). Is -2 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*12\/2250)\/(-6*(-8)\/60).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -44, -70, -28, -4 in ascending order.\nAnswer: -70, -44, -28, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 113, 95, 69, 29, -31, -117, -235?\n\"Answer: -w**3 + 2*w**2 - 17*w + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 119 - 1309. Calculate the smallest common multiple of k and 1\/(-2) + 21\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + d + 3*v - 1, 2*v - 5 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.4\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/12 - t**3\/6 + t**2\/2 + t. Let v(a) = -6*a**2 - 8*a + 3. Let p(k) = -5*f(k) + v(k). Factor p(z).\nAnswer: -(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/5 + 53*r**4 - 14652*r**3 + 1026224*r**2 - 23586784*r + 215925168\/5 = 0.\nAnswer: -453, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*6*-1*sqrt(5))**2*-6 - ((sqrt(315)\/sqrt(7))\/sqrt(9) - sqrt(5) - (sqrt(405) + 1*sqrt(405))**2)).\nAnswer: -8096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364255 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19345757 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4509019 weeks in nanoseconds?\nAnswer: 272705469120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 8. Let q(n) = n + 1. Let d(r) = i(r) + 6*q(r). Let w be -1*3\/(0 + -3). Suppose -p + w = -2*l, -6*l - 5*p - 25 = -l. Calculate d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/27278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15) - 8\/(-3). Suppose -3*b + 235 = 16*b + 28*b. Solve r = 2*s - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 + 5. Let n be x(-5). Suppose -5*o - 4*v = 3, -n + 2 = -3*o - 4*v. What is the tens digit of 21 + o\/(12\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 - 9*h - 5. Let g be w(-2). Suppose 6*v = v - 35. Let s(l) = l**2 + 6*l + 2. Let d be s(-6). Sort d, g, v.\nAnswer: v, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -151*b + 24*b + 1 + 28*b + 86*b. Let a(r) = r**2 + 17. Determine a(z(q)).\nAnswer: 169*q**2 - 26*q + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/9 + 1226*b**2\/9 + 239351*b\/9 + 473806\/9.\nAnswer: (b + 2)*(b + 241)*(b + 983)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:13 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from {y: 1, b: 1, w: 1, l: 4, p: 3, a: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -499394, -2\/43?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 1\/9, -4, -0.5, -0.05?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-3 + -21 - 4). Suppose 0*l = 2*j - 2*l - n, -3*j = -l - 284. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.60452 less than 0.19?\nAnswer: -250.41452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 9*q**2 - 23*q**2 + 16*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2463\/133 - -360\/19. Let u = 1026\/65 + -38056\/1365. Let t = 35\/3 + u. Sort t, -2\/7, a.\nAnswer: t, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:47 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Let d = -1 + s. Suppose a - d = 1. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Suppose -5*r = -3*t + 33, 24 = -3*r - r. Let y(u) = 4*u - 15 - 10*u - 3*u. What is t*y(c) - 15*h(c)?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 26*a - 7056. Let z be 7\/(-4)*(-336)\/a. What is t in -1\/8*t**3 - 13\/8*t + z + t**2 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49*(-2)\/16 - -1) + -2 + -4.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 13) in base 12?\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 0 + 0 + b**4 + (b - 3*b + 3*b)*(5*b**3 + 5*b**2 - 5*b**2) + (-5 - 2 + 5)*(-19*b**4 + 3*b**2 - 3*b**2).\nAnswer: 44*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 4*k - 3*k + 39*k - 3*k - 10*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 9) to base 11\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/9)\/(z\/z**(1\/6))*z**(-5)*z*z**(1\/2) assuming z is positive.\nAnswer: z**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n + 13. Calculate the lowest common multiple of n and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = i + 2*v - 8, -5*i = -2*v - 4. Let c be ((-7)\/i + -2)*-4. What is the greatest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 4. Factor 0*x**h + 2*x**2 + x**3 - 2*x**3.\nAnswer: -x**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (116\/(-8))\/((-1)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*u = -7 - 11, 28 = 8*f - 28630*u + 28627*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 26 = -4*m. Let t = 57 + m. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 5*k**3\/3 - 233. Let l(i) = 8*i. Determine l(f(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/3060 + 13*h**5\/85 + 507*h**4\/17 - 27*h**3\/2 - 4*h**2 + 34*h. Let i(y) be the first derivative of a(y). Factor i(c).\nAnswer: 2*(c + 78)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*f - 19, -49*t = 40*t - 94*t + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/18)*w\/(w*w**(6\/13)))\/((w\/((w\/(w**(-21)\/w))\/w*w*w))\/((w\/(w\/(w*w**(2\/27)*w)))\/w)))**(-9) assuming w is positive.\nAnswer: w**(-16537\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 581 + -1714\/3. Let p = l + -28\/3. Let u = -10 + -4. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -4 + (-50 - (54 - (36 + -24)))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145776 = 145110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1745.397 millilitres?\nAnswer: 1.745397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00306842 to five dps.\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.04.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 7*v**2 - 8*v. Let b be y(6). Let p be ((-40)\/(-30))\/((-2)\/b). Calculate the common denominator of 91\/16 and (182\/(-6))\/(p\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27205 = -441*w + 446*w. Round w to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13468 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5952835*-7\nAnswer: -41669845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*b = 27*b + 20403810. Is 105 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/5 + 2\/(-5). Let g(r) = 3*r + 13. Let f(x) = -2*x - 9. Let l(u) = v*f(u) - 5*g(u). Let w be l(-2). Solve w = 5*p - 20 + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2165.9999992932 + 2166. Round c to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 2*f**2 + 5*f + 2. Let z be v(3). Let u = 67 + z. Let x be (2\/(-10))\/(3\/u). Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1025723 (base 9) to base 16.\nAnswer: -85fbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220871 is divided by 44172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 39*t + 2. Suppose g - 2 = -w, -4*w + 4 = -g - 24. Solve -w = -2*u + t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 331 + 46*v + 330.\nAnswer: 48*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.93 (b) -2 (c) 0.6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*l - 72 - 68, -3*r - 35 = -l. Let a be (-371)\/212*2\/l. Sort -5, -4, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37096*t - 37097*t + 74194*t - 1387)*(2*t + 1 - 1 - 1).\nAnswer: 2*t**2 - 2775*t + 1387","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2254, 2244, 2222, 2182, 2118, 2024, 1894, 1722?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2 = 4*q - 18, -n = 3*q - 23. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 36 = -36*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3)\/(6\/32). Let h be g\/(-132) + 0 + 0. Is h less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172\/1019 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92202.\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53018?\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 147. Calculate the remainder when z is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -10*y + 21. Suppose y*m = 4*k - 4, -m + 25 - 9 = 3*k. Solve -m + 1 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 8*p. Let c be g(-9). Suppose -2*j + c = j. Solve o = -2*o - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2546347 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.07. Let w = p - -0.07000003. Round w to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 4\/7, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2*v - 4*v)*(-10*v - v**3 + 26*v - 37*v).\nAnswer: -v**4 - 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.436 * -0.03.\nAnswer: 0.22308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02888082 to 4 dps.\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 1, 0.3, 59, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*m - 31 = 32, 0 = 3*l - m - 51. What is the units digit of 513\/l - (-1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + j + 28, j + j = 3*d - 26. Suppose -i - d = 4*i. Sort 5, -3, i in decreasing order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -34, -99, -196?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59\/6 - 13\/2. Which is greater: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**4 + 14*l - 88*l**2 + 2 + 4*l**3 - 4*l**3 - 14*l wrt l?\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1160415 and 0.139.\nAnswer: -0.0161297685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 14) to base 6\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2616950, 2616949, 2616948, 2616947?\n\"Answer: -i + 2616951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -124 + (-224)\/48*6\/(-7). Let w be (-1 + 3\/(-15))\/(18\/u). Solve q = -q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -1\/3, 5, 4557 in decreasing order.\nAnswer: 4557, 37, 5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/1999 (c) 2\/7 (d) 4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 1, f: 6, a: 11}. What is prob of picking 1 w, 1 y, and 2 f?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 10*y**2 - 4*y - 14. Suppose -33 = -4*x - 5*u, -4*x + u - 2 = -5. Let o be ((-56)\/20 + x)*25\/2. Give s(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + ((sqrt(15) + sqrt(540))*3)\/(sqrt(36)\/(sqrt(72)\/sqrt(6))).\nAnswer: -9 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -14) + (34 - (-16 + 6 + 34))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 7\/677407 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:03 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + (-100)\/(-45). Let y be (p\/8)\/(3\/36). Let x be -1*(-4 - y\/(-3)). Solve 5 = 2*q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmlmlmmmmm. Give prob of sequence lmm.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/10*4575\/(-2745)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 613.88 and 0.7?\nAnswer: 429.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582\/4947)\/((-16)\/17)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2017444 or -2017450?\nAnswer: -2017444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 6, 10401, 4.\nAnswer: 4, 6, 21, 10401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032 + 5?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from {f: 1, z: 5, u: 11}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {f: 1, r: 1, k: 2, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 235? (a) 0.19 (b) 0 (c) -1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.897946nm?\nAnswer: 0.000005897946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 19*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 191.\nAnswer: -1, 13, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278375\/14021 + -6\/2003. Let l = -853\/56 - a. What is the common denominator of l and 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -36*y**5\/5 - 123*y**4 - 1108*y**3\/3 - 290*y**2 - 88*y + 310. Determine k, given that d(k) = 0.\nAnswer: -11, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**4\/4 + 25*s**3\/3 - 20*s**2 + 20*s - 6. Factor n(k).\nAnswer: -5*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v + 2. Let g be p(-4). Let a be (-4 - -4)\/(1*g). Solve 3*h = -3*d - 0*d, a = -4*d - 3*h + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - 5*t - 10. Let l be y(7). Suppose -q = -2*q + l*i + 16, 3*q - 48 = -3*i. Suppose -3*o = -4 + q. Are -3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (53\/(-636))\/((-2)\/24). Let g = 4 - 0. Let n(y) = -g*y - 1 + 5*y + 0*y + 6*y**2. What is n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Let u be (-1 - -5) + (l\/1 - 1). Suppose u*p = 2*p + 1. Calculate the lowest common multiple of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3946 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*r + 7, 0 = t - 2*r - 3*r + 2. Let d be 2\/5 - 16\/15. Which is the nearest to d? (a) -3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/12 - b**3 - 2*b**2 - 2*b + 4. Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12*-3*(1 + 5). Suppose 0*h + 3*h - i*a = -3, -3*h - 4*a - 10 = 0. Let m(n) = -n + 7. Calculate the remainder when m(h) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 10*c**2 - 9*c - 11. Let u be y(-9). Let g = -45\/4 - u. Let p = -4.4 + 1.4. What is the nearest to 0.2 in p, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 - 153. Suppose w*d - 4*a = 14542 + 3403, 3*d = 4*a + 10759. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 571 + -570. Sort -5, u, -14 in ascending order.\nAnswer: -14, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 149 + -142\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 1. Suppose 4*j - 3*j = -9. Let y = 21 + j. Let z be n(y). What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -103531432 + 3?\nAnswer: -10353142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 5. Let v(m) = -m**3 - 9*m**2 + 36*m + 2. Let b be v(-12). Suppose 2*h = -r - 16, 2*h - 5 = -b*r - 21. Give g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945\/90*(-16)\/56?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -786476, -786486, -786496, -786506, -786516, -786526?\n\"Answer: -10*v - 786466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306586063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 159*k - 9936. Give b(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/((-23760)\/96)*(-45)\/(-2))\/((-3)\/(-5))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4325017 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*v**2 + 38313714*v - 38313714*v.\nAnswer: 272*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-221)\/(51272\/4350))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(3*y + y - y + (-y - 4*y + 3*y)*(5 - 5 - 2)).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 105*f - 39*f + 27*f.\nAnswer: -129*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-2))\/n**(-1\/3))\/(n**(2\/5))**23)**(-2\/121))**(-3\/13) assuming n is positive.\nAnswer: n**(-16\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -94a8 (base 12) in base 3?\nAnswer: -211022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/28)\/((-35)\/(-16) - 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**2. Let o = 2029 + -2024. Suppose 2*i = -5*x + 14, x + 2*i = 2*x - 10. Let y(j) = -o*j - 4*j + x*j. Calculate g(y(p)).\nAnswer: 200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 1. Let l(r) = -3*r**3 + 3*r**2 + 6. Determine l(o) + 6*t(o).\nAnswer: 3*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1116299.4 months?\nAnswer: 93.02495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40997\/12 + -3420. Let d = -13\/4 - y. Let s = -1289\/14 - -185\/2. Which is the second biggest value? (a) s (b) -0.15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 225 - 157 = 0. Solve -b + 12 = d*g, -3*g + 24 = -g - 4*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 18)*(3*c - 3*c + c**3) + (2*c - 8*c - 4*c)*(2*c**2 - 2*c**2 + c**2) + 3*c - 3*c - c**3 + (2 + 1 - 2)*(3*c**3 - 3*c**3 + 2*c**3).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.6. Let b = m + 0.000004. What is b rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -211577.\nAnswer: 401996.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1))\/(z\/(z\/(z*z**(4\/7)*z))))\/(((z*z\/((z*z**(2\/3)\/z)\/z))\/z)\/z)**(17\/6) assuming z is positive.\nAnswer: z**(61\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3))\/(x*x**(-5)))\/(x**(-1\/3)\/(x\/(x**(-1\/5)*x))) assuming x is positive.\nAnswer: x**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4, 29 = -173*l + 178*l + 2*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:53 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 107781 and 0.1?\nAnswer: 107780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088.21337 to one decimal place.\nAnswer: 1088.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -57, 1 in increasing order.\nAnswer: -57, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 2, q: 1, c: 4, f: 3}. Give prob of picking 1 o and 1 c.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m = 33*m + 1465. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -18 - 18. Let c be -2 + (-21)\/t + 4\/8. Suppose -23 = 2*d + 5*z, -d - 10 + 1 = 2*z. Solve 0 = -x + c*x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -442085, -884169, -1326253?\n\"Answer: -442084*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001000111111100 (base 2) in base 16?\nAnswer: 491fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31547671447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:29 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 + 19*l**2 - 2*l + 4*l - 19*l**2 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -95.8. Which is the closest to 1? (a) z (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-34)\/((-3)\/3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 6*l**2 + 4*l + 6. Calculate r(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 5 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 5*n + n**2)*(3 - 3 + 2) + 5*n**2 - n**2 - 8*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 391*a - 2734. Let w be o(7). Sort 0, w, 10, -3 in decreasing order.\nAnswer: 10, w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/157 and 30090 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -354 - 4?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36714550*x**5 - 219*x - 53078 wrt x.\nAnswer: 734291000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5 - -3\/10. Let x = 1.2 + -0.2. Let m be 1\/(-7)*-1*1. Which is the closest to o? (a) m (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36356969 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 2. Let b(x) be the third derivative of x**5\/20 - x**3\/3 + 11*x**2. Calculate 3*b(a) + 4*j(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152171 - 1067?\nAnswer: 151102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264075634084 - -535.\nAnswer: 1264075634619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -101, -130, -159?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 11. Let s(x) = 2*x - 21. Let h = -2663 + 2659. Determine h*s(l) + 7*z(l).\nAnswer: -l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50*(-1)\/(-4)*2 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-824*u + 415*u + 592*u)*(-3 + 1 - 1)*(-14*u - 102 + 102)*(-4 + 1 + 2) in the form j*u**2 + x*u + h and give j.\nAnswer: -7686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6771\/4 - -1692. What is the biggest value in 0.5, i, 1\/696?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/6)\/(432\/324)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/40559106 and -21\/2290.\nAnswer: 202795530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/462?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/9 + 537604*q**3\/9 - 15056440*q**2\/3 + 105403312*q = 0. Calculate q.\nAnswer: -268886, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -2. Let h(k) = -k**3 - 18*k**2 - 17*k - 3. Let w be h(q). Let p(v) = -v**3 - 4*v**2 - v + 4. Give p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11717063?\nAnswer: 17, 61, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91100, 182065, 273030, 363995, 454960, 545925?\n\"Answer: 90965*b + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/5)*j)\/j)**(-2\/7))**(7\/4) assuming j is positive.\nAnswer: j**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5\/3 - 746*b**4\/3 - 740*b**3\/3 + 496*b**2 = 0.\nAnswer: -372, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from qxmqxxqqmxqm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b = 52*b + 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**2 - 3*w + 2. Let y be x(2). Suppose 2*d - 1 = -4*z + 3, 4*d - y = z. Let k = d - 5. Solve 3 = k*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 + 2*x**2 - 7*x - 12. Let s(d) = -6 + 5*d**3 - 5 - 2*d + d**2 - 4*d. Let a(j) = 6*f(j) - 7*s(j). Let n = -12 + 7. Calculate a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-40)*i*i**(33\/5) assuming i is positive.\nAnswer: i**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*s + 75 = 5*n, -3*s = -2*n + 15. What is the remainder when (9 + (-11 - -5))*14\/(-21)*-71 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 67825*a - 1899115. Determine z(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4*y**2 + 96784*p**2*y**3 - 172*y**3 - 7731 with respect to p.\nAnswer: 12*p**3*y**2 + 193568*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14576 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 2. Let w be y(6). Let a = 10 + -10. Let b be (-6)\/9 + (-98)\/(-21). Solve 0 = p - b*j + w, a = 7*p - 2*p - 3*j + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425668082 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*r + 28. Let n be (-48)\/(-9) + 3\/(-9). Suppose -2*u - 7 = -2*s - 7*u, n*s - 31 = u. Solve 5*o + 40 = 5*g, -3*g = r*o - 2*o + s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(72\/(-20))*12\/4. Solve -3*v = l*w - 4*v + 17, -4*v + 11 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22545.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/52 - (308\/(-16))\/11. What is o in -8\/11*o**g + 4\/11 + 2\/11*o - 6\/11*o**3 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/32 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let z = s + 3. Suppose 0*k + 20 = -4*k. Which is the third biggest value? (a) -0.5 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {j: 1, n: 4, o: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {n: 1, d: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 7*s**2 + 46*s - s - 41*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleceeelee. What is prob of sequence ecll?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11292817.\nAnswer: 103, 109639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:05 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4748 = -2*z - 3*j, z - 3*j - 514 - 1878 = 0. Let q = z - 1429. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107900 rounded to the nearest 10000?\nAnswer: 4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*p**6 - p**3 + 6*p**2 + 82*p?\nAnswer: 50040*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114069 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 51*v - 80*v + 3*v - 38*v.\nAnswer: -172*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**4 - 35*p**5 - 20*p + 2*p**2 + 18*p**2 + 30*p**5 + 15*p**3.\nAnswer: -5*p*(p - 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1720542?\nAnswer: -2\/286757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1 - 0)*(-325)\/39. Does -8 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208681366 to the power of 1\/2, to the nearest integer?\nAnswer: 14446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 = -25*b - 580 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {f: 7, p: 3, t: 5, j: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 2*k - 54 - 48, -2*k - 29 = 3*v + 9 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:33 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -215, -430, -645?\n\"Answer: -215*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*o + 18*o - 1960*o**2 - 58*o - 10*o.\nAnswer: -1960*o**2 - 112*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.18 and -164.\nAnswer: -163.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.9 and -0.08741 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/7, -120, 7, -0.01, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(2) - (-5 + sqrt(72))**2).\nAnswer: -183*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -10*d**4 - 53*d**3\/6 - 2*d**2 + 2. Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 1\/20*x**5 + 0*x**3 + 0*x**4 + 0 + 38*x**2. Let c(m) be the second derivative of -m**3\/3 + m. Give h(c(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*j, 3*j + 25 = 5*j - 5*h. Suppose -j*w + 4 = -3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 18*g**2 - 68*g - 49. Let d be a(-21). Let p be (2\/d)\/(8 + 630\/(-80)). What is the closest to p in 0.1, -1\/4, 6\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*b - 490, 2*b + 493 = 2*r - r. Suppose -2360 = -3*v + r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212550 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:25 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21147 by -1113.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 >= -41094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 16*b + 19. Is 4 a factor of u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 203 = -4*f, 0 = -18*p + 17*p + f + 63. Let n be (-8)\/(-20) + 104\/p. Solve 3*x - 2*x = n*u + 2, -2*x = -u + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*o - 97*o. Solve -8 = 2*i + 3*w + 11, 4*i - 2*w - 2 = o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 31*w - 90. Suppose 2604 = 223*i - 130*i. Give g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:29 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.52, -95, 0.2, -2\/155, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4677490*a + 9367030 wrt a?\nAnswer: -4677490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3 + 3 - 1 + 1 + 2*w + 0*w + 4*w - 3*w + (w + w - w)*(-4 + 0 + 2))*(-109*w**2 - 2503*w**2 + 106*w**2) - 3 + 3 + 2*w**3.\nAnswer: -7516*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 11. Suppose l*c - 4*n = 80, -3*n + 32 = 3*c + n. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.62955 * -26.\nAnswer: -16.3683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 905851.5nm?\nAnswer: 0.09058515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 + f - 1. Let d be q(1). Suppose -30 = -d*r + 20. Let n be ((-10)\/25)\/((-26)\/r). Which is the second biggest value? (a) 0 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2435.213 - 2501.2. Let h = b - 0.013. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(1 + 1 - 6)*(j**2 + 0*j**2 + 0*j**2).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 6. Let k be h(-9). Let z = -140 + 142. Solve 0 = k*p + z*v - 5, 2*p - v + 4*v = 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let b(p) = 4 - p + u - 1. What are the prime factors of b(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2*i**3 + 5*i**3)*(-5 + 2 + 7) + 3*i**3 - 2 + 2.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllgbblfw. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*(o\/o**(1\/9))\/o)**(-2\/5)*(o\/o**0*o)\/(o\/((o*o**(-3))\/o))*(o*o\/o**(-2)*o)\/(o\/o**0) assuming o is positive.\nAnswer: o**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + l = 18, -9*j + 21 = -4*j + 2*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001202 - 110012?\nAnswer: -102111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001110121 - 2?\nAnswer: -1001110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 23 = 2*j, 4*j - 5*z - 9 - 12 = 0. Let p = -4 - j. Let v(t) = -t**3 - 3*t**2 - t - 2. Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 + 50. Let f = i + 64. Suppose -5*r - 8 + 28 = 0. Solve 0 = f*c + r + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*z - 3*n + 131, 276 = 3*z + n. Solve -85*u + z*u - 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**4 - 11*r**4 + 5*r**4 + (-2 - 3 + 3)*(-r**4 + 4*r**4 - 2*r**4) to the form n*r**3 + y + g*r + x*r**2 + i*r**4 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 20*t**2 + 3*t - 1. Let p(k) = -21*k**2 + 4*k - 1. What is -2*p(w) + 3*z(w)?\nAnswer: -3*w**3 - 18*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 4. Give x(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 51\/2. Let r = 0.21 + -1.21. Which is the closest to y? (a) r (b) -3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/32*(-6)\/2*2. Calculate the remainder when (i + 1)*(-1 - (23 + 2)) is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m*m**(-17))\/m)\/m)**(-1\/7))**10)**(1\/2) assuming m is positive.\nAnswer: m**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 283 - 10*x + 127.\nAnswer: -10*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = d - 37, -2*d + 4*b = -56. Suppose -2*v + 4*v - 8 = -3*j, d = v - 3*j. Solve 0 = 2*n - 2*f + v, 2*n + 2*f - 5 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*o - 10, 5*o + 15 = -3*l + 2*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37473873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1250164*g + 6250822. What is w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12659 + -12280. Solve n*k = 371*k - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -84. Suppose q*f - 20 = 48. Sort 5, -31, f.\nAnswer: -31, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2952871, 2952877, 2952887, 2952901, 2952919, 2952941?\n\"Answer: 2*p**2 + 2952869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 3, o: 1}. What is prob of picking 1 s, 1 o, and 2 z?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12531 - -311?\nAnswer: 13242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 295*q**3 + 210*q**3 - 2143*q**3 + (6 - 4*q - 6)*(1 - 1 + 2*q**2).\nAnswer: -1646*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 3*x**3 - 4*x**3 + x**3 + 0 + 0 + (x - 2*x + 0*x)*(7*x - 3*x**2 - 7*x) + (4*x**2 - 2*x**2 - x**2)*(-x - 2*x - 3*x) + 11*x**3 - 5*x**3 - 7*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122175 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*o**2 - 59*g**3*o + 129*g**2*o**3 + 111*g*o - 16*o**2 wrt o?\nAnswer: 4*g**3 + 774*g**2*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 1 (c) 0.09 (d) -193 (e) 2\/117 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205183.09 + 205191.0899995. Let u = 8 - z. What is u rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 70. Let o(a) = a**2. What is the lowest common multiple of 8 and o(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8715239 is divided by 1548?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -9600*k**4 - 15129840*k**3 + 29521917*k**2\/2 + 376116*k + 4731\/2 = 0.\nAnswer: -1577, -1\/80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 18*r**3 - 19*r**3 + 9*r**2 - 11 - 15. Let f be p(8). Solve 2*v - 2 = -f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792703268?\nAnswer: 2, 698175817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*s - 0*s - 3, -k = -5*s + 20. Let o be (62\/4)\/((-3)\/6). Let b = -22 - o. Calculate the highest common factor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - x**3 - 444 + 444.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 67. Suppose g = -3*s + 86. Let x = 128 - 96. What is the greatest common divisor of x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 13*b + 151. Give r(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 + 11*k - 7. Let r(t) = -2*t**2 + 5*t - 3. Let f(p) = 7*r(p) - 3*w(p). Suppose 3*x - 18 = -792. Let j = -261 - x. What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*u + 55*u - 1. List the prime factors of 32*u*(-4)\/(-6)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 2947, 9939, 23555, 46003?\nAnswer: 79491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 2. Let x(v) = -v**2 - v. Let r be 72\/27*(-12)\/(-16) - 1. Give r*b(i) + 2*x(i).\nAnswer: -2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 + 82*z - 155. Let d be c(5). Solve -2 = -3*l - h, l - 5*l - 29 = -d*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7739, -2, 2.\nAnswer: -2, 2, 7739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2637, -5358, -8087, -10824, -13569, -16322, -19083?\nAnswer: -21852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i, m + 5 = -5*i - 0*i. Let p = 42 - 38. Let t = -17 - -151\/9. What is the second smallest value in t, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y - 395. Let w be v(0). Let o = w - -564. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1\/3, 4, -3, -2, -55.3 in descending order.\nAnswer: 20, 4, -1\/3, -2, -3, -55.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1134 divided by 2047.\nAnswer: -1134\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + 7 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418512894 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -40.37.\nAnswer: -20.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44107 + 81174. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461518450 rounded to the nearest 100000?\nAnswer: 461500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 72 = -0*p. Let v be p*(48\/(-9))\/4. What is the highest common factor of v and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70878.59t to grams.\nAnswer: 70878590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:45 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**4 - 25065*n**3 - 4*n**2 - 5672000*n.\nAnswer: -108*n**2 - 150390*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 3 = 0. Let g = -24 - -28. Let z(u) = -3*u - 23. Let n be z(-9). Solve -p + i = n, -2*p + 11 = g*i + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.357 and -991.4.\nAnswer: -1017.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*j + 4*f = -72*j - 260, -2*j + 5*f = -127. Solve -2*l + 13*l = -j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3940?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 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: Is 1982124 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192586*b**3 - 2*b + 65648?\nAnswer: 1155516*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221785351?\nAnswer: 221785351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1197\/14)\/19*12\/(-234)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228817163 take away -4008.7?\nAnswer: -228813154.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20231270 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 26*q - 28*q - 2301000, 0 = 4*k. What is q rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o - 284. Let y be q(30). What is the closest to y in 4\/5, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3 = -f - t + 1 - 4, 5*t + 191 = -93*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-598)\/(-6) + (-4)\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905180147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) -99.7 (d) 826 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -44 and 90\/2851 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8 - 2*y**2 + 2*y**2 + y**2 + 7*y. Let r be k(-7). Suppose r = t + t. Solve 4*c = 4*i + 16, -2*c + t*i + 10 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*w + 1\/2*w**2 - 1.\nAnswer: (w - 3)*(3*w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 10 - 3 - 6 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/9 + 119488*t\/9 + 3569345536\/9.\nAnswer: (t + 59744)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + 2, 3*a + 4*l = 55. Let p = a + -19. Let f be (-4)\/(-16) + 38\/8. Solve 2*i - f = -c, -5*i + p*c = -c - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 - 4*q**2)*(-1 + 10*q**2 - 21*q**2 + 4*q + 10*q**2).\nAnswer: 5*q**4 - 20*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 191*z - 9. Let n be 8\/16 + (-23)\/(-2). Let r = 18 - n. Is m(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6 + 32 - 587*m + 572*m. Is q(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -990, 118, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l**3*n**3*z - 6*l**3*z - 31*l*n*z + 148*l*z with respect to n.\nAnswer: -24*l**3*n**2*z - 31*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56220816 and 11712670?\nAnswer: 281104080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102729 and 79240.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 d when four letters picked without replacement from {d: 4, o: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030342511 and 578?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -22894.2.\nAnswer: -22912.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**4 + 14*i**3 - 190*i**2 + 82*i + 90 = 0?\nAnswer: -9, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30103021332 + -11?\nAnswer: 30103021321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 79 = 5*l, -3*w + 39 = -3*l - 21. Suppose 9 = 5*q + 4*b, -w - 9 = -2*q + 5*b. Solve 2*z + t - 4 = 0, -5*t + 9 = q*z - 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*p - 4*a**2 - 4*a + 397*p + 90 with respect to p.\nAnswer: -3*a**2 + 397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1937 = -82*j + 148*j + 83*j. What is the fourth biggest value in -4\/7, 0.03, 5, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - 14. Let k = q - -60. Is k > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 3*k**2 - k**3)*(-9772*k - 7935*k + 19591*k) - 2*k**4 + 0*k**4 + 3*k**4 as s + l*k**3 + w*k**2 + y*k + q*k**4 and give q.\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1237 - 1239. Let n = 5.9 + -6. Let m = -0.8 + 0.3. What is the nearest to n in b, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.7 (c) -1\/7 (d) 26\/5 (e) -2\/9 (f) 2 (g) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2 - 20*m**3 + 11*m + 31*m**2 - 9*m**2 - m**4 + 3*m**4 - 18 + 9*m.\nAnswer: 2*(m - 9)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1224)\/((-96)\/8))\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72445127.\nAnswer: 73, 683, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/3 - 4075*w**2 + 32616*w - 195728\/3 = 0?\nAnswer: -12233, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 96. Determine n(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 3*y - 11, 3*g = 12. Sort y, -0.4, 12, -0.3.\nAnswer: -0.4, -0.3, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41236344.18 - -41236537.1800101. Let x = 193 - z. Round x to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -5\/6, -7, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u - 0*u. Let w = 224 + -225. Put u, 3, w in increasing order.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19 + -9)*((3 - 6) + 26). Let c(x) = x**3 + 10*x**2 - x + 5. Let f be c(-7). Let o = f + g. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17781, 0, -2, -1 in descending order.\nAnswer: 0, -1, -2, -17781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 89*m - 251. Is 15 a factor of g(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -12b?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v - 56*v - 42*v)*(2*v + 9 + 12 - 13 - 2*v**2).\nAnswer: 150*v**3 - 150*v**2 - 600*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-977998)\/(-51478) - 266\/14. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k. Let v be a(-3). Suppose v = -3*s - 2*b + 18, -b - 52 = -5*s + 3*b. Let z(i) = -i**3 + 8*i**2 - 2*i + 19. Give z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15 - m**3 + 32*m + 5 + 27*m**2 + 3*m**2. Let j be t(31). Calculate the highest common divisor of j and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-19 + 9) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 43. Suppose -q + 5 = -k, -3*k + 10 = -4*q - 5*k. Solve -f + 8 = -5*g, q = -g - 3*g - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = 11*s - 2*d + 10, 12*s + 4*s = 12*s + 5*d - 330 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141 - -33112553?\nAnswer: 33113134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-141)\/(-36) + -4)\/(6\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -28*l + 31. Let v be b(1). Solve v*u + 3*y - 1 = 5, -2*u + 4 = -3*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25699.87 + -25852. Round b to 0 decimal places.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 8*d - 1. Let w be k(6). Suppose -4*s - 3 = -w. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395074064 a multiple of 4697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 5768\/11, 5, -2\/225, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7186032 by 24.\nAnswer: 299418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(sqrt(68) + (sqrt(68)*-2 + sqrt(68) - sqrt(68))))\/(-3*(sqrt(256) - (sqrt(256)*-1 + sqrt(256)))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496169935 is divided by 2134?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1204 and 1.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -21 + 31 + -14 + -31\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -31\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 3567 + 631 - 518. What is the smallest common multiple of 736 and g?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 28. Let l be x(-23). What is the fourth smallest value in -2, 2, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 16*m + 17. Let h(j) = j**2 - 8*j + 9. Let o(l) = 5*h(l) - 2*s(l). Let x be o(7). Differentiate -4 + 9 - x + 13*w with respect to w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70259655 - -33223655. Round c to the nearest one hundred thousand.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 5*v + 12 - v**2 + 6*v - 4*v. Let r = -40 + 29. List the prime factors of z(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let r(o) = -3*o - 25. Let h be r(-9). Let g be (-2)\/(-5) + (-2)\/5. Let a(q) = g*q**2 - 4*q**h + 2*q**2. Calculate a(n(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5)\/(9\/6). What is the third derivative of -5*f**s + f**2 + f - f + f**4 wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 + 909*g**2 + 1827*g + 915 = 0. Calculate g.\nAnswer: -1, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-18)\/(c\/c**(-4\/5)) assuming c is positive.\nAnswer: c**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16566 divided by -6?\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2503 or -660?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 260c9 (base 16) to base 7\nAnswer: 1216241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500139 = 30*d + 31629. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78973373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225214, -226421, -227628, -228835?\nAnswer: -230042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6258137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*h - 56 = -6*d, 2*h = d - 17. Let j = d + -25. Solve -2*r = j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z - 6. Let i be ((-1)\/(-1) + 0)*3. Does 9 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/49944 and -39\/520250.\nAnswer: 6243000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-2 - -8*5\/10. Let k be ((-1)\/2 - x)\/((-28)\/896). Is 1944\/k - (-1 - 1)\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Let w(q) = 3*q**3 + 3*q**2 + 3*q. Let b(d) = -6*d**3 - 5*d**2 - 5*d. What is a*w(p) + 3*b(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 6) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0355031 to 4 decimal places.\nAnswer: -0.0355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649 <= 15887\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 6*c**2 + c + 1. Let k = -62 - -67. Suppose -k*r - 25 = 0, 20 = 7*j - 8*j - 3*r. Give l(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*p - 88*p = 51. Let a(u) = -u**2 + 7*u - 15. Give a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**5 - 8*n**5 - 6*n - 4*n wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18232 + 18260. Solve d - 10 = 5*f - u, -d + 22 = 5*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -8*p + 56 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.862 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1\/10, 3, 14\/5, 2 in decreasing order.\nAnswer: 5, 3, 14\/5, 2, 1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzzzvvzvvzzzzzvzvv. What is prob of sequence zv?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.0158163 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, -3, 45, -22, 35?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13.25. Let j = 0.41 - 0.65. Let y = v + j. What is y rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-22))\/(((-2)\/(-11))\/(-1)). Suppose -5*t + j = 2*j + 868498, t + 173696 = -q*j. What is t rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168763677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 + g + 0 - 4 - 132*g. Suppose 5*t = 2*t - 5*i - 3, -1 = t - 2*i. What is the hundreds digit of c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = 4*o, 3*z + 22 = -4*o + 2. Let y be 12\/(-4) + 3\/1. Suppose 2*b - 10 + 2 = y. Solve 12 = -b*v - p + 4, z = 4*p - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99))*-6.\nAnswer: -18*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 - -5732?\nAnswer: 565a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b + 3*b)*(-5 - 2*b + 5) + (3*b + 4*b - 6*b)*(-3*b + 2*b - b) + 4 + b**2 - 4.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*-5*(-6)\/(-15). Suppose -y*w + 28 + 149 = s, 0 = -2*w - 8. What is the remainder when s is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 618\/(-1030) + (-1)\/((-1)\/6) + -5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20434814 to the power of 1\/2, to the nearest integer?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = g + 2*p - 284, 0 = 2*g + p - 554. Suppose -2*v = -5*y - g, -4*v - 4*y + 294 = -2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose -z = w*z. Solve 0*a + 5*h + 30 = -5*a, z = 3*h + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1, 5, 20208, 3, 0 in increasing order.\nAnswer: -3, 0, 1, 3, 5, 6, 20208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206305 and 73205.\nAnswer: 2269355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 2*d**2 - 3*d + 1. Suppose 23 = 6*y - 1. What is the units digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*d + 9*d**3 - 469*d + 3*d**2.\nAnswer: 9*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**3 - 47817*d**2 + 801*d - 303.\nAnswer: -204*d - 95634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 131*d**2\/3 - 521*d\/6 - 130\/3.\nAnswer: -(d + 1)**2*(d + 260)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 310, 324, 334, 340?\n\"Answer: -2*u**2 + 20*u + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(468) - sqrt(468))*-4 + sqrt(468) + -5 + 1 + sqrt(468))**2 - (2 + -1 + sqrt(468) - (-2*(sqrt(468) + -2 + sqrt(468)) - sqrt(468)))**2.\nAnswer: -648*sqrt(13) + 134791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 g when four letters picked without replacement from {z: 6, n: 1, g: 2, r: 4, x: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(65) + (sqrt(65) - sqrt(65)*-1))*-5)\/(sqrt(5) - 6*sqrt(5)*2))**2.\nAnswer: 11700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212731 - 3*b + 2*b - 212731 - b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17460043, -17460042, -17460043, -17460046, -17460051, -17460058, -17460067?\nAnswer: -17460078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1219.836 millilitres?\nAnswer: 1.219836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10680 (base 9) to base 5.\nAnswer: -211434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:41 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (714\/98 + -7)*(30 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 8 (c) 2.11 (d) -6 (e) 5\/4 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -5.96. Let s = l - 9. Let u = -1.9 + 2. Which is the closest to u? (a) s (b) 2\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 18) + -18 + 58 + -50 + 47\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/15*(-2 - -83). Suppose h*t = 52*t + 136. Calculate the greatest common divisor of t and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5 - 806*t**4 + 796*t**3 + 3224*t**2 - 3216*t = 0.\nAnswer: -2, 0, 1, 2, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 u when four letters picked without replacement from {b: 1, n: 1, p: 1, u: 2, l: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 14 = 3*n, c = 2*n + 2*n - 12. Let z(k) = k + 1. Let f be z(6). Let m = -3 + f. Calculate the greatest common factor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*(-5 - -3) - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*l + 85. Let m = -574\/13 + l. Let g be (3\/6)\/((-1)\/(-2)). Which is the nearest to g? (a) m (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 173, 3588, 12859, 30914, 60681?\n\"Answer: 488*u**3 - u - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*n + 542*n - 16*n - 30342 = -59*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 12*d + 42*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 65466.79 millimeters?\nAnswer: 65.46679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66209816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-20)*t)\/((t\/t**20)\/t))\/(t**6*t\/(t\/t**25)))**50 assuming t is positive.\nAnswer: t**(-1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:38 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 51. Let u be p(23). Let x(s) = -6*s**2 - s + 6. Let j(v) = -v**2 + 1. Let m(c) = u*j(c) + x(c). What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 2*y + 2*y + (28 + 14 - 8)*(-437 + 14*y + 437)*(-2 + 4 + 1).\nAnswer: 1427*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0\/(-1)) + 0. Suppose -2*p + 18*d - 14 = 14*d, 5*p = 4*d - 5. What is the third biggest value in p, 26, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00785603639 rounded to 4 dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/2313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-16)*8\/(-18). Let b(v) be the first derivative of -1\/3*v**3 + 0*v - 2 + 1\/2*v**l. Find f, given that b(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = s + 40, h + 3*h + 4 = 0. Let q = s + 128. Suppose 0 = -t - q + 400. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 4*x = -45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15725*h**3 - 40616*h?\nAnswer: 94350*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341784.\nAnswer: 2, 179, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*a*a\/(a**(-7)*a*a)*a)*a))*a)\/(a**(-13\/2)\/a)*((a*a**9)\/a)**47)**(34\/5) assuming a is positive.\nAnswer: a**(14433\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/((-64)\/(-56)*-1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3697 - -6474. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*n*v**2 - 6*n*v + n - 108091*v**2 wrt n?\nAnswer: -15*v**2 - 6*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**(-5\/2))))\/f*f\/f**(-2)*(f**(-2\/7)*f)\/(f**(-1)*f*f))**(-2\/33))**(-6\/7) assuming f is positive.\nAnswer: f**(6\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2232*g - 640*g - 643*g - 635*g + 320*g - 635*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0535 + -3837469?\nAnswer: -3837468.9465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/((-37400)\/(-1309)))\/(0 + -2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 6*i - 30. Let b be (2\/4)\/(3\/i). Let j be -7 + b - (-1800002 + 0). What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -418, -424, -440, -472, -526, -608, -724, -880?\n\"Answer: -g**3 + g**2 - 2*g - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, w: 15}. What is prob of picking 3 w?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 917 = -923. Solve 110*y - x = 108*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/7294554 and -91\/54?\nAnswer: 21883662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122644171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 121\/(-154)*56\/(-154)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eux when three letters picked without replacement from wevvwwxxwxvwevuvuu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704)*-4 + sqrt(704))**2 + -5 - (sqrt(704) - (0 + sqrt(704)))*-6*-5) + -4.\nAnswer: 57015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 164*m + 147. Determine k(-42).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let h(l) = -307*l**2. Give h(x(v)).\nAnswer: -1228*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -4*(sqrt(117) + sqrt(117)*3)*6 + 3)**2.\nAnswer: -5184*sqrt(13) + 1078353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16887 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267.163163 seconds in weeks?\nAnswer: 0.0020951771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 times 0.24?\nAnswer: 29.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20689348 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - q - 8*q - 1.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 993197\/9495 - 4\/1899. Let a = z + -105. Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 829 - 467 = -838. Calculate the remainder when 180 is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = n - 14, 4*n + 0*n + 3*g = -7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4052 (b) 5 (c) -1\/4 (d) -2\/19 (e) 1\/3 (f) -1\/56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(-12))\/((-3)\/(-54))*10 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.267848 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, k: 1, y: 1, e: 1}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j - j - 2*j - 3*j + 6*j + j + (1 - 1 - 2*j)*(13 + 1 + 6).\nAnswer: -47*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**2. Let c(u) = -3067*u - 1 + u**2 + 6145*u - 3078*u + 0*u**2. Calculate -2*c(b) - g(b).\nAnswer: 6*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiii. What is prob of sequence iii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/65, 2\/9, 0.27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528427409 to the nearest integer?\nAnswer: 22988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04798 + -13.\nAnswer: -13.04798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 8*z**3 + 6 + 40*z**3 - 4*z - 20*z**3 - 4. Let j be g(1). Solve j*f - 3*f = -40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*m**2 - g**2*m*w**2 - g**2 + 2*g*m**2*w**2 - m**2*w**2 + 2*m**2 - 4*w wrt w?\nAnswer: -2*g**2*m + 4*g*m**2 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(1920)\/sqrt(3)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 46*h + 1. Let t(k) = 6*k**2 + 50*k + 2. Calculate -7*i(l) + 6*t(l).\nAnswer: l**2 - 22*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 541339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/167 - 511\/334. Put 3\/8, v, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-27))\/(6\/54). Let t(a) = 119*a**2 - 120*a**2 + r*a + 3*a + 96 - 3*a. What is the tens digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 193\/1*16871*1. Let c = q - 2076103. Suppose -2*y = -0*y - c. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/12)\/3*-2. Let a(w) be the first derivative of -2*w - w**u + 1\/2*w**2 - 1\/4*w**4 - 4. Determine a(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-2))\/(3\/282).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(3 + -2))\/(-2). Let x = q + -1. Let l = 0 - 1. Which is the closest to 1? (a) x (b) -2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590052 is divided by 922.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 + 11*k**3\/6 - 9*k**2 - 18*k. Let h be d(8). Is 3\/(h\/4)*(32 + 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74049 and 3.5.\nAnswer: 259171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in -5.9, -0.5, 2\/15, 1\/3, -2\/11?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(1\/1) + 2. Suppose i + q = -2*i + 104, n*q + 180 = 5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 958785?\nAnswer: -3835140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + -121100020?\nAnswer: -121021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.93 - -10. Let a = 1.07 - b. Let t = 0.05414 + 1.94586. Put a, -1\/4, t in descending order.\nAnswer: t, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -19*c + 5*m, -c + 16*m = 3*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 11*u - 21. Let v be o(-4). What is the highest common divisor of v and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 + 1. Let m be x(1). Let t = 15 - m. Suppose -t*f = 4*p, -2*f + p + 10 = 4. Solve 4*n + 14 = -f*q, -n - 2 = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 8*w**2 - 2 + 4*w + 3*w**2. Let x(i) = i**3 - 5*i**2 - 7*i + 3. Let c be x(6). Let o(v) = -2*v**2 - 11*v + 5. Determine c*o(k) - 8*g(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1456 times -0.05538\nAnswer: -80.63328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - b**2 - b**2)*(2 + 4 - 4) + b**2 - b**2 - 2*b**2 - 18 + 11*b**2 + 1147*b + 1134*b - 2284*b.\nAnswer: 13*b**2 - 3*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6293 (base 11) in base 3?\nAnswer: 102102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((2 - 3)*-1). Solve -3 = p*w - 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(153) - ((sqrt(68)\/sqrt(4))**2 + 0)).\nAnswer: -85 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 16*j + 521 = -3*u, 4*u + 428 = 4*j. Solve 116*r - 96*r - j = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24 = -0*o. Let z(j) = -j + 2*j - o*j**2 + 10*j**2. Let i be z(-2). Solve -7*v = -4*v - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-11 + 10)) + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlxxxxhxlhxxxhh. Give prob of picking 2 h and 1 x.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 366126*i = 0. What is i?\nAnswer: 0, 366126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(0*v + 4*v + 7*v) + 3*v - v - 5*v to the form x*v + c and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 3123774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98522 = 51*t - 96329 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + l + l**2 - l**2)*(-6195*l**2 + 417*l**2 - 675*l**2).\nAnswer: -12906*l**5 - 6453*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 37*v + 4. Let d be x(37). Suppose q = 5*t - 8, -q - d*t = -6*q + 2. Let l(k) = 2*k. Calculate the remainder when q is divided by l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(((-3)\/4870)\/(9\/12)). Suppose -5*r + z = -3*r - 5*u, -r - 2*u + 13379 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -8. Solve 3*q = 8*q - s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274.1 + 274. Let g = 0.7 - -0.7. Is g greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64713 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*m + 8*m - m)*((-1 + 1 - m)*(-2 - 2 + 2) - 4 + m + 4 + (3 - 2 + 1)*(2*m - 5*m + 2*m) + 2*m - m - 6*m) to the form j*m + h*m**2 + v and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -0.1, 2\/3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 376*k - 3060.\nAnswer: -4*(k + 9)*(k + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Let b be ((-4)\/n)\/((-3)\/9). Suppose -2*g - 3*m = b*m + 6, 0 = g + 5*m + 8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42554\/1265 + 10\/253. Which is the smallest value? (a) 0.5 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l - 39. Let n be f(5). Solve -4*m + n = 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41411747?\nAnswer: 13, 47, 67777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 432?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (81 - (-1 - -3) - (97 + (24 - 123)))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + (-11 + 13 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/3138 - -680429\/147486. Which is greater: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -27. Let j be (-7 - x)\/((-2)\/(-6)). Suppose g + 5 = -8*l + 9*l, -2*g = 0. Solve -j*q + l - 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.6824 - -240217.\nAnswer: 240298.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13720 - o + o**2 - 13720 - o**3. Let u(k) = -10*k**3 - 5*k. Let b(w) = -u(w) + 15*z(w). Factor b(q).\nAnswer: -5*q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2898 and 74106.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*j - 6*o - 8, 0 = -3*j + 5*o + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 44. Let c be 324\/(-864) - (-342)\/16. What is p(c)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7*l - 4*j + 42, 4*l + 2*j - 114 = 0. What is the remainder when 212 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 12 - (-2 - 5 - -1)) + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27661407*q**6 - 908052*q**2 wrt q.\nAnswer: 3319368840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*r**2 + 15*h**2*r - 2948*h**2 - 2*h*r**2 + 2*h + 802*r**2 + 933 wrt h?\nAnswer: 4*r**2 + 30*r - 5896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymmmymmmmmyymybmyy. What is prob of sequence yb?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 550900 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629224 is divided by 890?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58846192 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:37 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -542.8 - 58.2. Let p = -601 - g. Let c = -10.4 + -0.6. Put p, c, -1\/3 in decreasing order.\nAnswer: p, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 100*r**3 + r**2 + 4*r - 12. Give b(2).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5.1 * 0.01\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, s: 6, p: 1, h: 8}. What is prob of sequence sjp?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2586 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 76*u + 15 + 148*u - 72*u + 539*u**2 to the form r*u + x*u**2 + o and give x.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591904 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5476*m + 2351. What are the prime factors of j(-3)?\nAnswer: 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2032*u**2 - 4 - 3 + 2023*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftppcestfcff. What is prob of sequence scp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4877*c - 4966*c = -1335 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1, 17, 4, 2 in descending order.\nAnswer: 17, 4, 2, 1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2 + ((-87)\/580)\/((-3)\/34))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1363 (base 7) to base 5\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 10. Let x = u - -8. Solve x*t = 2*w - 12, -t + 5*t = w - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*w - 292*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, b: 3, d: 1, x: 1}. Give prob of picking 3 g and 1 b.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - 1) - (17 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*84\/(-112)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2146*d. Let a(z) = -3338*z. Let q(j) = -9*a(j) - 14*k(j). Suppose 0 = -v + 4*v - 30. Let y(i) = 2 + 4*i - v*i - 3. Give y(q(s)).\nAnswer: 12*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7097245 divided by -6.\nAnswer: -7097245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:35 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28719 at least 28719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 2*f**2 - 3*f**2)*(-2*f + 5*f + 0*f).\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1154*r**5 - 243*r**2 - 3*r + 5. Let b(a) = -4616*a**5 - 973*a**2 - 11*a + 19. Let d(x) = 3*b(x) - 11*f(x). Find the third derivative of d(w) wrt w.\nAnswer: -69240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**3 + 0 + 1\/36*j**4 - 5*j**2 + 0*j - 1\/180*j**6 + 1\/90*j**5 - 1\/315*j**7. Suppose m(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9764730 is divided by 296?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 + 27*s**3 - s**2 + 20*s**3 + 4*s**2 + 2 - 7*s**3 in the form x*s + g + q*s**3 + p*s**2 and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 5)*(-2*k + 0*k + k)*(-3 + 4 + 0 - 2 + 1 + 0 + (-4 + 1 + 2)*(0 + 4 - 6) + 3 - 2 + 1 - 3 + 3 + 2).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-22)*(a\/(a*(a\/(a\/(a**23\/a)))\/a*a))\/a*a**(-2)*a**7\/a)**(2\/101) assuming a is positive.\nAnswer: a**(-82\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**13)\/(g*g*g*g**(-1\/3))*(g*g*g\/((g*g\/g**(2\/31))\/g))\/(g\/(g\/(g\/((g\/g**(-10))\/g)))))**(30\/7) assuming g is positive.\nAnswer: g**(20830\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5169*y + 5166*y. Calculate the highest common divisor of y and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*d**5\/7 + 80*d**4 - 8986*d**3\/7 - 5378*d**2 + 323280*d\/7 - 64800 = 0. Calculate d.\nAnswer: -7, 5\/2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 5, o: 2}. Give prob of picking 2 y and 1 v.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/3))**(7\/2)*(a\/(a\/a**4*a))\/((a*a*a**(-1\/4))\/a))\/(((a\/a**1)\/a**4)\/(a**(2\/11)*a**(-7)*a)) assuming a is positive.\nAnswer: a**(827\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*u - t = 94*u + 2, 5*t - 15 = -5*u. Let x(i) = i**2 - i + 1. Let y(k) = -2*k**2 + k - 12. Determine u*y(o) + x(o).\nAnswer: -o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -589.3.\nAnswer: 597.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324843466.\nAnswer: 2, 53, 3064561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*k - 1224*k + 11084 = -797*k for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 14\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -55. What is the tens digit of -1*s\/2*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243789202 divided by 2\nAnswer: 121894601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 - 4640*h**2\/3 - 303698*h + 305244 = 0 for h.\nAnswer: -183, 1, 2502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/13 and 25\/377.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 354 + -2 + (-9)\/(-3). Suppose -5*m = -6078 + 6063. Suppose -5*t + 5*q = -a, m*t = -2*t + 2*q + 340. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-7) + 5)\/(4\/14). Let g(a) = -a**3 + 3*a**2 + a + 4. Let y be g(3). Calculate the greatest common divisor of y and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 15. Let g be h(-11). Let x be 152\/(-10)*g\/(156\/(-45)). Calculate the highest common factor of 12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/3 + 3*i. Let k(t) be the third derivative of 0*t**4 + 0*t + 0 + 0*t**3 - 2*t**2 + 1\/20*t**5. Calculate y(k(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (-14 + 8 + -7 - (-1 - 12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17723582 - 4\nAnswer: -17723586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310948 is divided by 1433?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3888, -3949, -4052, -4197?\n\"Answer: -21*k**2 + 2*k - 3869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 57888*g + 56393*g + 54012*g - 151796*g as k*g + n and give k.\nAnswer: 16497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**3 + o**2 - o - 1. Suppose 0 = 18*c + 62 - 278. What is the remainder when c is divided by u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35556431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -837000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + b - 6. Determine s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1340*h*t**6*y + 8*h*t**3 - h*t**2 + 173*h*t + 17*t*y wrt t?\nAnswer: 160800*h*t**3*y + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:02 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17753076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(48) + -4)**2.\nAnswer: -4*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119260 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 0, q = z - q - 4. Let m(d) = -d**2 - 9*d - 21 + 24 + z*d**2. Let j be m(4). What is the highest common factor of j and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*t - 2 = 5, 5*x = -5*t + 25. What is the lowest common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 277 (b) -2\/19 (c) 3\/2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b + 16792 - 94324 = 0. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -56164377.\nAnswer: 280821885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(-7) + (-328)\/41.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 5, o: 6}. What is prob of sequence joj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 + 11160*r**3 + 766500*r**2 = 0.\nAnswer: -3650, -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 658982 * -3\nAnswer: -1976946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16626, -23975, -31336, -38715, -46118, -53551, -61020?\nAnswer: -68531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let n(y) = 6*y + 181. What is the lowest common multiple of m and n(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1114572 + 724322. What is y rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13\/44 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*m**3 + 2*m**2 + 16 - 2*m + 2*m**4 - 18 to k*m**4 + z*m**3 + w + a*m + y*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 + 40\/72. Which is the second biggest value? (a) g (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(22)\/(sqrt(4)\/sqrt(8)) + -5 + (5 + -3 + 2*sqrt(11) + -5)**2.\nAnswer: -10*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -193, -199, -205, -211, -217?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 829251 (base 10) to base 3\nAnswer: 1120010112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3445.64 to the nearest integer.\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 62. Solve 4*v = v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/36 - 61*c**3\/6 + 92*c**2\/3 - 538*c. Factor m(n).\nAnswer: -(n - 1)*(n + 184)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x - 2*x + 0*x. Let d(i) = 2*i + 6. Let r(j) = 6*j + 17. Let k(q) = -17*d(q) + 6*r(q). Calculate k(m(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.3. Let h = r - -0.1. Let w = 307 + -613\/2. Which is the nearest to w? (a) h (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -421 - -424. Is (10\/d - 2)*14622\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1145*u. Let f(s) = -s**2. Calculate i(f(c)).\nAnswer: -1145*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1163a51 + 11?\nAnswer: -1163a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*i + 2*a + 22574, -15036 = -2*i + 4*a. Suppose i = -2*q - 118474. Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/2 (b) 4 (c) 1.82 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h - 195*h**2 + 0 + 5\/24*h**4 - 3\/2*h**3. Determine t(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516126311 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -483703184603+1.2\nAnswer: -483703184601.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/20 + p**3\/5 - 24*p. Factor w(j).\nAnswer: 3*j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9571500771 and -54.\nAnswer: -9571500825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(75)\/sqrt(5) - sqrt(15) - sqrt(15)))\/(sqrt(5) - sqrt(245)*2).\nAnswer: -2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -42*a**3 + 4*a**2 - a - 2. Let s(y) = -125*y**3 + 13*y**2 - 3*y - 7. Let o(c) = -7*k(c) + 2*s(c). Let q be o(1). Let w = -23 + q. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 178111402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1065 - 4666?\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*q**4 - 27*q**3 + 26*q**2 - 1914.\nAnswer: 16*q**3 - 81*q**2 + 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 113*d - 263. Let l be f(-40). Calculate the highest common divisor of l and 10472.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -40*t - 8. Let a(u) = -6*u + 7*u - 6*u**3 + 5*u**3 - 5 - 5*u**t. Calculate a(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(3024\/84 - 31)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3*u + 5. Let s be o(-9). Let f = 58 + s. Suppose 26 = q - w, 5*q - 15 - f = 4*w. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 177*d**2 - 34*d - 130. What is m(-2)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -282.5.\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 15. Suppose -4*d - 65 = 5*s - 219, -s - f*d + 18 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wawaaawa. What is prob of sequence waww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406792134?\nAnswer: 2, 11, 63945097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109694 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*a - 1, -2*b = 3*b + 5*a - 5. Calculate the smallest common multiple of b and 6\/(-3) + 14\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -0.1, 4\/15.\nAnswer: -5, -0.1, 4\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 4630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-3)\/(36\/(-176)))\/((-1)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 277. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 92. Let u = o + -53. What is the nearest to 2 in u, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjrrrrfjr. Give prob of picking 1 f and 1 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 205?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -b + 19, -3*b = -5*v - 14 - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-6))\/((-12)\/3032) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-39*(-20)\/(-15470).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -5. Let m be q\/4 + (-2)\/(-1). Let c = -9 + 20. Solve -m*l = 5 + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*z + 5583 - 117987. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ich when three letters picked without replacement from ddiddidckdddkidhks?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -9 - (0 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4 = -1 + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.6. Let y be -1 + ((-45)\/(-7))\/5. Let q = -3807\/13 + 293. Which is the closest to y? (a) x (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -518.43 - -33.13. What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 7. Let p(f) = 3*f - 13. Let h be p(5). Suppose -h*s = 0, -4*d + v = s + s. Solve 3*y + d = 2*r, 8*y + 8 = 3*y + 3*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 5452 - 7*v**3 - 2820 - 2773 as p*v**3 + d + k*v + m*v**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094347928?\nAnswer: 2, 101, 1354391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*k + 2, 4*k = 2*g - 106 + 92 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 306*g + 31. Let s(r) = 103*r + 11. Determine 4*q(d) - 11*s(d).\nAnswer: 91*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*a**2*o - 183*a**2 + 2035*a*o + o - 10829615 wrt a.\nAnswer: 52*a*o - 366*a + 2035*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/16556 and 63\/52.\nAnswer: 215228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -23. Suppose 4*o = -2*n - j, 2*n - 4*o = o + 15. Solve 0 = -4*y - n + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568.4482 - 784.\nAnswer: -215.5518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 119. Let s = -15 - v. List the prime factors of (-4)\/18 - (-714)\/s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 93 = 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589237, 1178466, 1767693, 2356918?\nAnswer: 2946141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -164. Suppose -3*d = 2*d + m. Is (0 - 0 - 1)*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 65 = -b - 3*h, -20 = -b + 2*h. Suppose -3*q = -5 - b. Let w(p) be the first derivative of p**3\/3 - p**2 + 5*p + 9905. Calculate w(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2426 by 1.\nAnswer: -2426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074 is divided by 2054.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1710*p. Let h be u(1). What is h rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.029806 months in decades?\nAnswer: 0.19191505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0310314 millilitres to litres.\nAnswer: 0.0000310314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21652 - 21574. What is the remainder when 89 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:35 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = -3*w, 3*w + 3*k + 26 = 17. Put -2, w, 5, 3 in ascending order.\nAnswer: -2, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14669+-3.848\nAnswer: 14665.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-15 - 25) - -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 3*f + 5*t + 27, t = 3*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-1)\/(-4)). Suppose -6*s + h = -7*s. Let o be (5 + -3)\/(s\/(-3)). Solve j + o*c = 0, -j - 3*c = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*h + 10 = -3*a, -5 = -h. Let g(f) = 8*f**2 - 2*f + 7. Let u(y) = 2 + 1 - 9 + 2*y - 7*y**2. Calculate a*u(m) - 6*g(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + d**2 - 6*d - 13*d + d**3 - 45 - 2*d.\nAnswer: (d - 5)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683*g + 361*g**2 + 683*g.\nAnswer: 361*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872 equal to 10330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i - 4. Let j(n) = 2*n**2 + 2*n - 1. Let k be j(-2). Let h be o(k). Suppose -12 = -q - h*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 74, -8, -122?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1635 and 763?\nAnswer: 11445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3106*d + 1354. Is a(-11) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 1754, 4129, 7454?\nAnswer: 11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89920082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.47 minus -9?\nAnswer: -337.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14370530 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 16) to base 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 3, 6, 0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*k + 1422*k + 24840 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4098*h**2 - 20632*h**2 - 14455*h**2 - 4256*h**2.\nAnswer: -35245*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206759a (base 12) to base 13.\nAnswer: 135b9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 5) + 7 - (-152244)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189097723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -211009.919 to the nearest 1000.\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1287352 and -163\/11160.\nAnswer: 1795856040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, v: 6, w: 5}. Give prob of sequence wvvw.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*w - 59, -w - 2*y = -3*w + 50. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258486 is divided by 543?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -126149329, -126149330, -126149331?\n\"Answer: -i - 126149328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*q - 20 = -2*b, -4*q = -5*b - 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -19399*a**2 + 13*a - 230. Let x = -316 - -326. Let g be u(x). What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 98a - 5?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32*1 - (15\/(-5) - -3). Which is smaller: g or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 3*g**2 - 2*g. Let t be j(-4). Let w = t + 10. Determine s, given that s**3 + 0 - s**w - 1\/3*s**4 + 1\/3*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*g + 5*g. Let h be -3*g - 120\/(-8). Suppose -h + 3 = -t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 1, g: 1, c: 5, u: 3, n: 6}. What is prob of sequence ag?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1687.1 + -35.\nAnswer: 1652.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + (-2)\/(-4). Let p be -1 - c - (1 - 4). Suppose -5*h + 5*u + 460 = 0, h - 6*u - 101 = -p*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -929956865710357 + -5?\nAnswer: -929956865710362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2140 divided by -22?\nAnswer: 1070\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 14. Let m be r(11). Let b(z) = -1 - z**3 - 6*z - 3*z**m + 2*z**3 - 4*z**2 - 4. What is the tens digit of b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 30*s**2 + 29*s - 4. Let u be l(14). Solve u*z = z - 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 7, -0.3, 11, 1.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:48 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3956000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-50)*80\/(-24)*3\/14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) -2 (d) 1\/8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g. Let a(n) be the second derivative of 19*n**4\/12 - n - 36. What is p(a(t))?\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*v = 3*l + 18, -3*v + 9 = 4*l. What is the remainder when l is divided by 12\/8*(1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {q: 1, v: 1, j: 1, z: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -0.2. Let j be (-4)\/(-6) - (-10)\/(-18)*3. Which is the nearest to j? (a) -2\/11 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s. Give d(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 11*v**2 + 13. Let h(m) be the second derivative of m**5\/10 + 23*m**4\/12 + 14*m**2 + 2*m + 2. Let z(p) = 9*b(p) - 4*h(p). What is z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 82. Let j be n(-11). Let v be (-5)\/(-10)*(-3 - -4). Sort v, 2\/11, 5, j in decreasing order.\nAnswer: 5, v, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 15 - 3 = 0. Suppose -4*d + 12 = -j, -g*j + 4 = -2*d + 10. What is the hundreds digit of d - (-136 + 3)\/(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.744 + 0.844. Let s(k) = -k**2 + 3*k + 7. Let f be s(5). Which is the nearest to f? (a) t (b) 2\/23 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 49*c - 5 to the form t + i*c and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkekkkkkkkkeekkkkkk. What is prob of sequence eke?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9508.4 - -9508.503139. What is p rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - -0.41. Let h = r - -6.6. Let i = h - 7. Which is the third smallest value? (a) -2 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -b + 8 + 13, 0 = -b - 2*l - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-8) - ((2 - -3) + 684\/(-144))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 + 3)*(-5*i - i**3 + 5*i)*(i - i - 2*i**2).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4267673 or -4267674?\nAnswer: -4267673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 73. Suppose 4*t + 2*i - 162 = 0, -2*t + 2*i = -b - 85. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.273 - 0.534. Let d = -0.261001535 - g. Round d to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 10. Let q be m(-10). Let k be -1 - (q + -4) - 3. What is a in k*a + 0*a**2 + 2\/7*a**5 + 0 + 2\/7*a**3 + 4\/7*a**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325))**2 + sqrt(39)\/sqrt(3)*3.\nAnswer: -7*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 4 in ascending order.\nAnswer: 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:54 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.2 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 0*y**3 - 2*y**3 + (1 + 1 + 0)*(y - y + y**3) + 44*y**3 + 1382*y**2 - 1382*y**2 to the form o*y**3 + p*y + h*y**2 + v and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 14 - 11 = 0. Let v = -11 + 5. Let r = v - o. Put r, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366.9 + -367. Is g greater than or equal to 3\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, 1424, 5020, 11462, 21698, 36676?\nAnswer: 57344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from frrwfe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7*w**2 + 7 - 22 + 7.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-4)\/20*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*l - l. Let w = 7 - l. Solve -5*b + 6*j + 11 = 2*j, -w*j = 2*b + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(9\/27). Let u = 3 - b. Suppose -u*v - 460 = y, 4*y + 2*v + 1860 = -2*v. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -191 - 1?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 10*g - 76. Determine s(12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 0*w**2 + 0*w**2 - 3 - 72*w**5 - 4 + 66*w**5 + (-w**2 - 9*w**4 + w**2)*(-4*w + 2*w + 4*w) + 4*w**3 - 4*w**3 + w**5.\nAnswer: -22*w**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 + (120\/16 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003433 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 864 and 576?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205963297 a multiple of 6414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 1. Let p = 68 + -65. Determine l(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655d0a (base 16) to base 9.\nAnswer: 13444370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*a**2 + 79*a**3 - 85*a**3 + 2 + 95*a**3 wrt a?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let h(k) = -11*k. Calculate -h(b) - 6*o(b).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5 and 76\/(-171) - (-2)\/(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4632 and -35\/2316?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*k**3*p**6 - 13*k**3*p - 176*k**2*p**3 + 8*k**2*p**2 + 36*p**2 wrt p?\nAnswer: -2040*k**3*p**3 - 1056*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -517*n**2 + 23795*n - 809. What is a(46)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 1070, 2097, 3418, 5033, 6942?\nAnswer: 9145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.03 - 0.03. Let k = 4\/7 + -113\/210. Let o = k - -7\/15. Which is the second biggest value? (a) d (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336550 by -265.\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*u**2 - 528\/5*u + 538.\nAnswer: -2*(u - 5)*(u + 269)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5473.75 and 8.\nAnswer: -43790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/35 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66073.941 milliseconds in days?\nAnswer: 0.0007647446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360307 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z + 10. Is i(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -724 - -727. Let i be 34\/9 + (-4)\/(-18). Solve l*w = i - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-15)*5\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103010 - 253?\nAnswer: -103303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 565004.67 rounded to the nearest one thousand?\nAnswer: 565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1332.305+14947\nAnswer: 13614.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125\/117 - -11\/13. What is the second biggest value in -2, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 + 18*u**2 + 46*u + 34. Calculate x(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.017? (a) -3\/10 (b) -3\/2 (c) 3 (d) -0.74 (e) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2483063.69686 - -2483032. Let n = a + 31.7. Round n to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -0.51. Let s = -15.81 + d. Is 2 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6006 + b**2 - 6006.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2743*d**2. Let f(q) = q. What is o(f(t))?\nAnswer: -2743*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + (7 - 3) - -6. Suppose s*u = 2*q - 12366, -8423 = -5*q + 3*u + 22510. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1155*f. Let y(x) = 15738 - 15738 - 2*x**2. Determine d(y(c)).\nAnswer: 2310*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*(5 + -2*sqrt(17)) + -4)*1)**2*-5.\nAnswer: -2080 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/100 - 53*s**4\/5 + 22472*s**3\/5 - 1526*s**2 - 2. Let p(b) = 0. Calculate b.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 36*u**5 - 4935*u**4 + 28896*u**3 - 26763*u**2 - 46302*u - 9432 = 0.\nAnswer: -2\/3, -1\/4, 3, 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -23, -77, -131, -185, -239?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvcsvhh. Give prob of sequence vh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 + 8\/(-12) + (-399)\/(-63)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*j = -460*j + 705635. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 974.\nAnswer: 11688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -963.79 - -1.\nAnswer: -962.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:59 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 27.4?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) -2\/11 (c) 1\/33 (d) -2 (e) -3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 2927005*b**4\/12 - 25*b**3\/3 - 8*b**2 + 13. Let z be o(5). What is z rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518764, -2075385, -4669756, -8301877, -12971748, -18679369?\nAnswer: -25424740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/222, 1.6, 16.4 in decreasing order.\nAnswer: 16.4, 1.6, -29\/222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b + 80 = -112 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-2)\/1 + (-43 - -50). Suppose -4*c + y + 2848 = -y, 2*y - j = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - -2) + 15 - (-20 - -21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34532811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 + 8*y + 4. Let h(u) = -8*u**2 + 9*u + 5. Let n(l) = -5*h(l) + 6*m(l). Suppose -8*k + 0 + 24 = 0. Calculate n(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3195*w - 82*w + 5351 + 7101 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -721 and -6.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 330.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(931) + 1)**2 + 0 + (-5*(0 + -1 + sqrt(76) + sqrt(76) + sqrt(76)))**2.\nAnswer: -286*sqrt(19) + 18054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.585 - 20.675. Let a = 17 + k. Let z = a - -0.08994. What is z rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*o + 9, -2*o = -3*j + 2*o - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2764 and 8292.\nAnswer: 8292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1177059*c**2. Let o(z) = 30*z**2. Calculate o(i(m)).\nAnswer: 41564036684430*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -155, -80, -5, 70?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4296 and 55\/45824?\nAnswer: 137472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a factor of 304150176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28469879 + -28469874.0000077. Let d = 12 + -17. Let c = d + k. What is c rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400b6 (base 15) in base 6?\nAnswer: -4202143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:01 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116510*z**3 - 116521*z**3 + 233028*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1440.399995 + -1437.4. Let b = -3 + i. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 2, -1, -2, 2644 in ascending order.\nAnswer: -63, -2, -1, 2, 2644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208.3 + 2284.\nAnswer: 2075.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60297, -4, 1, -3, -9.\nAnswer: -9, -4, -3, 1, 60297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 - -17) - (6 - (-1 - 4))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29643517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -23*k**3\/6 + 15*k**2\/2 + 11*k. What is the first derivative of h(w) wrt w?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3401*i**3 - 3401*i**3 + 150*i**5 + (2 - 2 + 2*i**4)*(-12 + 7*i + 12).\nAnswer: 164*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 + 1)\/2 + -2. Suppose a*s - 41 = 29. Suppose 4*j = 40 + 32. What is the least common multiple of j and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, -5, 23, 0.1, 29, -7\/5 in decreasing order.\nAnswer: 29, 23, 2, 0.1, -7\/5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 394, 2537, 6110, 11113, 17546, 25409?\n\"Answer: 715*q**2 - 2*q - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22067 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11094.1 and 2517622.34.\nAnswer: 2528716.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k*q**3*x**2 + k*q**3 - 2*k*q*x**2 - 13*q**3*x**2 - 3*q**2*x**2 - 3*q*x wrt k?\nAnswer: 8*q**3*x**2 + q**3 - 2*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*c - 102 = -135*c. Let g(t) = -4*t - 124. Calculate the lowest common multiple of g(c) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206636 is divided by 32611.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -67. Let s = r - -48. Solve -4*j + h = s, -22 = 3*j - 2*h - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 20 = -4*j - 34, -j - 4 = 0. Suppose 6*k = -k - 126. Let x = k - l. Does x = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8\/(-6) + -8 + 9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -18*n - 25. Let r(v) = 18*v - 30. Is r(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbn when three letters picked without replacement from {b: 5, j: 2, w: 1, p: 2, n: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100101001?\nAnswer: 100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6645*r**3 - 2217*r**3 - 2214*r**3 - 2220*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285589197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/3 - -3. Suppose 2 = v - d. Let a = 4 - 2. Solve -g + 5*g - 3*y + v = 0, a*y - 5 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 3*q**3 - 4*q**3)*(0 + 4 + 18)*(203*q + 62*q + 326*q).\nAnswer: 13002*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(2\/820). Suppose 3*f = 182 - 1136. Let z = b - f. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-7110))\/(-24 + 636\/24)?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20788524 and 62428.\nAnswer: 20788524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 64) + 45 + -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 9*k**2 + 8629*k + 183652 = 0.\nAnswer: -937, -196\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82718*g**3*s**3 + 102*g**3*s**2 + 2*g**2 + 63*g*s**3 - 241*g*s**2 - g*s - 53*s**3 - 1 wrt g.\nAnswer: 496308*g*s**3 + 612*g*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.03\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)*(-6)\/(-9). Let l be (-1 - -179 - 1) + -1. Is (z\/4)\/(4\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1050094949, 2100189899, 3150284849, 4200379799, 5250474749, 6300569699?\n\"Answer: 1050094950*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17688632 from 400.2.\nAnswer: -17688231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -3*j**4\/8 - 7*j**3\/3 + 14*j**2. Let d(z) = 7*z + 13. Let s(y) = 4*d(y) + 3*t(y). Determine s(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*m + t + 17, -2*t - 14 = -3*m. Suppose 11*k + 99 = 55. Sort k, -5, m, 1 in descending order.\nAnswer: m, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -0*j - 3*j - 8, 6*r - 10 = -j + r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/5 (b) -1\/2 (c) 1\/2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r - 3*r)*(1 - 2 + 0)*(-81*r - 41*r - 14*r) to d*r**2 + m*r + p and give d.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*d**3 + 0 + (0*d - 2*d + d)*(-d - 2*d**2 + d))*(-5 + 31 - 9).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 8:50 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21521 + 21541. Solve -26*c + k + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 4, -2, 0, 195, 2 in descending order.\nAnswer: 195, 4, 2, 0, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = -3. Let g = 0 - -4. Suppose 0 = 3*s + g*f - 21 - 10, 4*f = 5*s - 9. Solve -4*o + 3*j + k + 12 = 0, s*j + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -5 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3 + 40*s**2 + 399*s + 635. Let l(q) = 3*q**2 - 2*q**2 + 1 + 0. Let j(u) = g(u) + l(u). Determine y, given that j(y) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3038*m + 30747 + 39482 + 33063 = 0 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -0.916.\nAnswer: 2.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -79816948?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -299, -449?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7500383 divided by 1\nAnswer: 7500383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) - (sqrt(616) + 1*sqrt(616)))\/sqrt(11)*2*5)\/((sqrt(648) - (sqrt(648) - (1*sqrt(648) - sqrt(648)) - sqrt(648)))*5 - 6*sqrt(648)*-1).\nAnswer: -10*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**3 + 19*r**2 - 82. Let k(y) = -y**3 + 3*y**2 - 14. Let s(p) = 34*k(p) - 6*u(p). Factor s(c).\nAnswer: -4*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1767?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3037 (base 8) in base 9?\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 + 19*u + 8. Let w be i(5). Find f such that 5*f**2 + 23*f + 123 - 43 - 4*f + 34*f - w*f = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:19 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074129299 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02903, -4, -3, 5, -76, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1 - (-9)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 2, b: 3, j: 1, e: 3, x: 1}. What is prob of sequence xm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193\/15 + -13. Let q = f + -7\/60. Sort q, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 25*r**2 - 6*r + 40. What is the tens digit of w(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2038643 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*x + 338, 2*l - 2*x = -3*x + 232. Suppose -g - 4*g + 4*a = -94, 5*g - l = -2*a. Solve 3*r - g - 3 = -2*h, 4*r = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119273083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k - 16 = 0. Let g = 1285 + -1273. Suppose 0 = -18*c + 48 - g. What is the lowest common multiple of c and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.3. Let w = -1.94 + 3.42. Let p = -30.48 + w. Which is greater: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -131, -5 in descending order.\nAnswer: 3, -1, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:40 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*c = -0*f - 6, c + 3 = 3*f. Suppose 24*m - 21*m = 0. Suppose -f*q = -m*q - 2. Solve 3*h = 4*i - 4, -2*h = 2*i - q - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 16) in base 5?\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 50\/2707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 4*f - 7. Let k be m(7). Let t be 4\/(-30) + k\/(-45). Suppose -o - 3*b = 2, -t*o + 0*b - 2*b + 42 = 0. Solve -j + o = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.4297225621 + 42.3.\nAnswer: 34.8702774379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170940 and 15612520.\nAnswer: 46837560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176533*d**4*l**3 + 50*d*l**3 + 221*d*l**2 + 3*l**3 wrt d.\nAnswer: 2118396*d**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -70, -5, 157?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -50. Suppose -88*s + z = -85*s. Suppose j - 4*j = 3*x - 93, -s*x + 2*j + 78 = 0. Calculate the greatest common factor of x and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.02892.\nAnswer: 0.08676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 273863820 + 0.21?\nAnswer: 273863820.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.68 to zero dps.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 4*o, 5*t + 0*o - o - 17 = 0. Suppose 0 = -3*q + t*u - 10, 4*q = 3*u - 4. Solve 0 = c + c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.241276 seconds in days?\nAnswer: 0.00276899625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-2)*44092\/(-365)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7110, -7109, -7108, -7107, -7106?\nAnswer: -7105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1*g**(4\/9)*(g**0\/g)**(-2\/121)*(g*g**(-3\/4)*g*g\/g**(2\/5))\/(g\/(g**(4\/3)*g)*((g*g*(g\/(g*g*(g*g**0*g)\/g))\/g*g*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(101153\/21780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f - 1. Let d(s) = -s**3 + s. Let m(v) = 4*v**3 - 5*v**2 - 7*v - 7. Let y(r) = -d(r) - m(r). Determine 5*g(w) + y(w).\nAnswer: -3*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 4*t + 5. Let d be (-5)\/(-35) - 72\/14. Calculate n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7547732*s**2 - 862169 wrt s?\nAnswer: -15095464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = 0. Suppose 15 = 3*v - y. What is the second derivative of 0*c - 2*c + 8*c**v - 2*c + 0*c wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39134638.\nAnswer: 2, 23, 850753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 9 = 378*z - 377*z - 8, 61 = 5*z - 6*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:08 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -899*b - 83. Is r(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f - 5*f + (1 - 1 + 2*f)*(1 + 2 - 4) + (21 - 67 + 26)*(21 + 5*f - 21)*(2 - 5 + 2) + (-24 + 24 + 12*f)*(2 + 0 - 3).\nAnswer: 87*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*h - 2*r + 97, -9*r = 93651*h - 93650*h + 1 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 743.5505 litres?\nAnswer: 743550.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3975*p - 7*p**2 + 7931*p - 3956*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 2d?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 10*i + 14. Let d be v(-11). Let b be (-8 + 3)*(3 + -2). Sort b, d, 4, -3.\nAnswer: b, -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 + 0 = 0. Let a be ((1 - 2) + 1)\/r. Let p(h) = -h**2 - 3. Calculate p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 57. Let j(o) = 2*o - 57. What is -7*h(a) - 6*j(a)?\nAnswer: 2*a - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 16935120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/35, 2, 0.3, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -7082. Suppose -2*u + z = -3459. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 28. Let w be z(6). Let l(n) be the third derivative of 8*n**2 + 4\/15*n**3 + 7\/15*n**w + 49\/150*n**5 + 0 + 0*n. Find t such that l(t) = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/48*(-1)\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21476027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1928106?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -420.5344 * 2\nAnswer: -841.0688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + -15 - -30) + -6 + 1 + 8 + -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555 = 772*t - 788*t + 16381. What is the remainder when 2250 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.472 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2336575 * 0.9\nAnswer: 2102917.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138888\/144675*(-3)\/(-12).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 17424?\nAnswer: 17439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/2)\/(-9))\/(1\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - t + t + 2 - 3*t - 2 + (-6 - 2 - 3)*(0*t + 0*t + 2*t) - t + 21*t + 18*t to d + o*t and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(0 + 0 + -2). Suppose -5*n = -3*n + 4. Let z = -202 + 207. What is the closest to 2 in z, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -533 at least -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/3)*l)\/l**(-1\/5))**(-45) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1203 divide 98030064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.7158 + -7.353. Let n = h - -39. Let d = 0.06379 + n. What is d rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*y = -5 - 3, -2*z = 2*y. Suppose j + 18*s = 13*s + 14, 0 = 3*j - z*s - 25. What is the remainder when 11 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -35*z**3 + 5*z - 9. Let h(c) = 25*c**3 + 12*c**3 - 20*c**3 - 5*c + 4 + c + 2*c. What is -5*h(a) - 2*i(a)?\nAnswer: -15*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -23. Suppose -i = 2*s - 17. Suppose -f + 24 = -3*a + 6*a, s = f + 4*a - 25. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 38. Suppose -14 = -5*k - 3*n + 1, 15 = 5*k - 5*n. Let x be k + -2 + 15\/(-9). Which is greater: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:03 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(288)*1 + 1)**2.\nAnswer: -120*sqrt(2) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5275987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -97*o**2 - 562*o + 1502. Let t(c) = -77*c**2 - 562*c + 1502. Let m(y) = -4*s(y) + 5*t(y). What is the derivative of m(f) wrt f?\nAnswer: 6*f - 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20575435 (base 9) to base 16\nAnswer: 973b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2840760 and 61\/468.\nAnswer: 2840760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v**(-2\/11)*v*v)\/v)\/v*v)**2*(v\/(v**4*v))**49)**(-1\/17) assuming v is positive.\nAnswer: v**(2116\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus 6.34?\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 722817 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*h + 8, -4*h + 7*h - 4*v = -8. Let z = -3\/13 + -7\/26. Let t be 12\/2*(-3)\/(-6). Which is the closest to h? (a) t (b) z (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4904 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3)\/(d\/(d*(d**(-4)\/d)\/d))*d**13*d*d*d\/(d\/(d\/d**(3\/16)))*d)**(-41) assuming d is positive.\nAnswer: d**(-9717\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 9*v + 3*d, -5*v = -d + 28 + 40 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746951 is divided by 51380.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -57402 (b) 0.2 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u - 106*u - 7*u = -2011 - 19719 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2\/15 (c) -1 (d) -49 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, 64, 4\/5, -4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266467425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.01084 - 0.44.\nAnswer: -22.45084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/(-36) + -6 + 4 + (-2435)\/460?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3736 + (-49)\/(-3 + -4) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/4, -0.2, -0.05, 5, -3\/2, 0.64?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42592 and 448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -7979?\nAnswer: 797a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70610023 and 1689235.\nAnswer: 353050115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -16. Let a = -9.1 + i. Let b = -6 - -9. What is the nearest to 2\/3 in b, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239.589 * 27.9\nAnswer: -6684.5331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4081421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 0*z**3 + 7\/20*z**5 + 0*z**2 + 5\/6*z**4 - 23*z. Find the third derivative of t(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 130 - 2e?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.1, -2501, 36\/13?\nAnswer: -2501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1432, 7096, 22438, 52288, 101476, 174832?\n\"Answer: 805*i**3 + 9*i**2 + 2*i + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594590 divided by 5?\nAnswer: -718918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -454*r**2 + 1. Let m(d) = -98*d**2. Give p(m(z)).\nAnswer: -4360216*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -8, -1, -2\/15, -456\/25.\nAnswer: -456\/25, -8, -1, -2\/15, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -22. Let n = -1.2 - -0.9. Let v = -5.0855 - -0.0855. What is the smallest value in -1\/2, v, n, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 806.8138 days?\nAnswer: 69708712320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(50\/8)\/5*3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40886774?\nAnswer: 2, 20443387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 20 = 0. Suppose -3*u + 1071 = -2*z, -u + v*z + 1428 = 3*u. Suppose -u + 75 = -3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 44624*m + 5354873. Give y(-120).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/302 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.92 - 24.2297. Let b = 0.31 + r. What is b rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*k - 559*k = 1470 + 1972 + 1294 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t - 2. Suppose -3*k + 21 = -3*x, -5*x - 9 - 18 = -k. Let q be m(k). Does 17 divide ((-24)\/q)\/2 + 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -320667033?\nAnswer: -320667033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106581 - a?\nAnswer: 106572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77043 and 2959209?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21302 + -21082. Solve 182*o - h*o - 152 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001000001001111 (base 2) in base 7?\nAnswer: 1102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 20450.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, -8*o - 4*b + 2990 = -6*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let l(o) be the third derivative of -11*o**4\/24 + o**3\/3 - 3*o**2 - 2. Give l(g) + 2*z(g).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + -6 - (5 - 6 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 29 + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xghs when four letters picked without replacement from ghqqgusuqxhuxqu?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -20. Let j = 9 + t. Which is the nearest to -3? (a) 0.1 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 2. Let v be g(-2). Let s = 21 - 2. Suppose -4*p = -5*f + 10, -5*p = -4*f - 4*p + s. Solve -f = 2*l, 3*c - l = -v*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 2*n + 0*n. Let m = -73 + 76. Let f(z) = z + 1. What is m*y(a) - f(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, m: 2}. Give prob of sequence xz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = -3*z, 4*z - z - 3*v - 24 = 0. What is the least common multiple of z and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 19. What is the remainder when 16 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, -6149, 2, -6, 0 in descending order.\nAnswer: 2, 0, -1, -3, -4, -6, -6149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from {i: 1, o: 4, g: 8, n: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 29)*(-3 + 2 + 2)*(2 - 1 + 0)*((0 - t + 0)*(1 - 4 + 2) - 2*t + 0 + 0 + 3 - 3 - t).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*c - 18887 + 18836 = 0, -4*c = -f - f + 58 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a*(a*a**(3\/7)*a)\/a*(a**(-1))**(-5\/11))\/(a**(-2)*a**(-4\/3)*a**(-5\/6)*a*a**(-1)) assuming a is positive.\nAnswer: a**(3565\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*2)\/sqrt(11)*-3)\/(sqrt(24)\/(1*sqrt(1452))).\nAnswer: -66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*i = i, 2*c - 3*i = -8. Let z = 1 - 1. Solve 3*n - 4*q = 13, -n + z*n + 5 = -c*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 83, 121, 157?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3482? (a) -2 (b) 1 (c) 55 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, h: 5, d: 4}. What is prob of sequence ihdd?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19*u - 519. What is j(-28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.43886 centuries to millennia.\nAnswer: 5.043886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in -4, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 divided by -7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4 + 13\/(-8) + (-2147)\/(-2712). Which is the third biggest value? (a) v (b) -18 (c) -6 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 102.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4 and 18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92970*d**3 + 32*d**2 + d - 2 wrt d.\nAnswer: 557820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-30)*(-10)\/(-3). Let h = 1 + i. Solve 3*p + 2 = h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.8 - -180. Let u = -1 + -2. Put u, -0.3, l in descending order.\nAnswer: l, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let j(x) be the first derivative of -x**2 + 13*x - 3. Let t(v) = -5 + 1 + v - 5 + 3. Let b(a) = -6*j(a) - 13*t(a). Calculate k(b(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264\/9 - (-1)\/(-3) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 30*r - 9. Let n(x) = -5 + 7*x + 2 + 1. Let a(d) = -9*n(d) + 2*z(d). Let i(t) = -13*t. Calculate i(a(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**4 + 1\/3*y**3 + 0*y - 1\/180*y**6 + 0 + 1\/60*y**5 - 4*y**2. Let f(c) be the first derivative of j(c). Factor f(m).\nAnswer: -2*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.57 plus -0.46?\nAnswer: 53.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Let n = -204 + 207. Let r(y) = 3*y - 5*y**2 - 6*y**3 + 7*y**n - 40 + 41. Give r(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516725577.\nAnswer: 3, 19, 31, 107, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -29. Suppose t*s - 60 = -s. Suppose -s = -d - d. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8227*x**3 + 1255*x**3 + 15563*x**3 + 773*x**3 - 2418*x**3.\nAnswer: 23400*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 1115, -2.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8\/9)*g)**(-16)\/(g**(1\/3)\/(g*g**(-13))) assuming g is positive.\nAnswer: g**(-271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10267365 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from wrfrbrbfrfrrrwbr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/15 + 47878508*l\/15 + 286543941038258\/15 = 0. Calculate l.\nAnswer: -11969627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324440310 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y + 4. Suppose 2*c - 6 = 4*z, 9 + 12 = -y*z - 5*c. Let w be -3 - -4*z\/(-2). Solve 0 = -3*r - w - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535?\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 706707 and -39.5.\nAnswer: 706667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8592 is divided by 736.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397 + -391 - (1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1899400 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19584 and 8280?\nAnswer: 2252160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*t - 1285*t - 241*t - 379*t - 1040*t to v + m*t and give m.\nAnswer: -2712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x + 11*x + 19*x - 14. What is w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.53 - -227.27. Let g = 249 - y. Let m = -0.11 + -4.89. What is the fourth biggest value in g, m, 1, -3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:46 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 2, b: 1, i: 2, z: 1, e: 1}. Give prob of picking 2 i, 1 o, and 1 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + 180*o + 67 - 66*o - 57*o - 55*o in the form m + n*o**2 + s*o and give m.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)\/(2913\/195171)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 - 7*x**4\/24 - 5*x**3\/6 + 4*x**2. Let r be p(8). Let v(a) = 113*a - 1241. Let t be v(11). Solve -r = 5*c + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3, -12*l + 11*l - t - 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, k: 2, f: 2, c: 2, d: 2, m: 3}. Give prob of picking 2 m and 2 k.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -j + 3, -4*j = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 + 8.8. Which is the closest to -2\/7? (a) x (b) 3 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -17. Suppose 0*g + 4*g - 56 = 0. What is the remainder when g is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.7. Let o = 279 + -4183\/15. Sort -2, a, o in descending order.\nAnswer: o, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**3 - 4*k**3 + 0*k**2 - 3*k - 1 - 3*k**2. Suppose 2*w - 33 = -0*m + 5*m, 3*w + 8 = -4*m. Let n be x(w). Solve -v + 8 = n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:35 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 3*s + (2 - 17 - 1)*(0*s + s + s))*(-4*s - s + 3*s) - 3*s**2 + s**2 + 3*s**2.\nAnswer: 67*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 506.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 14 = h, 3 = -2*h + 4*h - k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3538332 by -6.\nAnswer: 589722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*h**2 + 84*h**3 - 5*h + 5*h.\nAnswer: 84*h**3 + 377*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -5*z - 25\/2*z**2 + 4*z**5 + 8 + 25\/4*z**4 - 5*z**3. Factor k(y).\nAnswer: 5*(y - 1)*(y + 1)**2*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + t + 10. Let y be p(-5). Suppose 4*r = n - y, 0*n = 4*n - r - 695. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.44994151 and -6\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - sqrt(119)*2)*3 - sqrt(119))\/(sqrt(63) + sqrt(252)))**2 - sqrt(34)\/((1*sqrt(24))\/sqrt(12))*-4.\nAnswer: 272\/81 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-12)\/20. Suppose -2 - o = 3*h, 3*h = f - 7. Let v be (-574)\/294 - f\/(-14). Is 0.11 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w = -110*w - 5*u - 15, 0 = 3*u + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1331 - 0.3669. What is the biggest value in d, 1\/2, 67, 0.4?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30036*g = 29947*g - 3649 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-71 + -2) - -2. Calculate the greatest common divisor of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**10\/7560 - z**8\/840 + z**6\/180 - z**4\/3 - 9*z**2. Let g(f) be the second derivative of k(f). Factor g(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 791 and 288828.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*q + 28, -16*c + 21*c + 4*q = 151. What is the remainder when 179 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(60*z + 197 - 197) + (-25 - 12 - 1)*(-1 + 1 + 2*z)*(2 - 2 + 1).\nAnswer: -196*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -7\/15*d**5 + 0*d**4 + 0*d**3 + 0 + 7\/40*d**6 + 0*d - 3*d**2. Find the third derivative of f(v) wrt v.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0 + 0)*(-h - 2159611 + 1094398 - h**2 + 1090098).\nAnswer: -h**3 - h**2 + 24885*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(400)\/(-2*sqrt(10) - sqrt(10) - sqrt(10)) + sqrt(40) - sqrt(360)*1)\/(4*sqrt(24)\/(sqrt(3) - 4*sqrt(3))))**2.\nAnswer: 32805\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.795473 tonnes to micrograms.\nAnswer: 8795473000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - c, c - 48 = 2*a - 55 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 21 = -4*f. Let v = 14 + 6. Suppose -4*l - l = -v. Calculate the lowest common multiple of l and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, i: 2}. Give prob of sequence ti.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1915 + 26406. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200010210201122 (base 3) to base 2\nAnswer: -100100110001101101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 - -527. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/39 (c) 3\/4 (d) 0.2 (e) 20\/331 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9377249 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1506, 0.3, -5, 0.0843, -2 in descending order.\nAnswer: 1506, 0.3, 0.0843, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426900 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319000 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 253*b - 281 - 282 + 1120 - 275.\nAnswer: -253*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 15*y**3 + 12*y**3 + 0*y**2 + y**2 as q + z*y**3 + f*y + l*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1283, 4, 1\/11?\nAnswer: 1283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 24. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -l + 6, 2*q = -2*l - 2*q + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 79, -4, -0.3, 0.3 in descending order.\nAnswer: 79, 0.3, -0.3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(2 - l - 2)*(-111 + 90 + 137).\nAnswer: -232*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j + 14 = 95*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*r - 337*r = -209 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a + 43*a = 24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -126667394\/3 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16760 = j - 16780, -11*c = -j + 2*j - 55 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 1, z: 4, b: 5, g: 1}. Give prob of sequence gzc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15394 + 7449. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t - 4. Let h = -260 + 265. Suppose -3*p = -4*p - 3, -h*b + 22 = -4*p. Calculate the least common multiple of r(-8) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4233 + -33945\/8. Suppose 4*o + 64 = 2*v - 0*o, -o - 151 = -5*v. What is the common denominator of z and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/(-240))\/(24\/(-40)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -3, -9, 4, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q**5 + 972*q**4 - 31053*q**3\/2 + 20040*q**2 + 25983*q\/2 + 1749 = 0 for q.\nAnswer: -53, -1\/4, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y**5 + 4233*y**4 - 30309*y**3 - 241401*y**2 - 359154*y - 62424 = 0.\nAnswer: -289, -3, -2, -1\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -274874\/13 + 21144. Suppose 0 = 2*c - 5*c + 3. Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 7 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2198347, -4396700, -6595053, -8793406?\nAnswer: -10991759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001120000222 (base 3) to base 4.\nAnswer: 10022332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 - 4 - 4 - -11 is divided by ((-8)\/4)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -149101\nAnswer: -149101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 81615*y + 21355810.\nAnswer: 5*(y - 16057)*(y - 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 12. Suppose 2*w + y - 31 = -4*y, 2*w - 21 = -3*y. Let i be (-1)\/w*c\/(-13). What is the third smallest value in -0.5, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -11.3. Is -2 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let t(j) be the first derivative of 2*j**3\/3 - 15*j - 108. What is w(t(h))?\nAnswer: -2*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 3*a**2 + 5*a - 28. What is t(3)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 3 + 2 + 9 - 500*v**2 to the form s + b*v + a*v**2 and give a.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and -1386668.\nAnswer: -1386669.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1, -26, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43875 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*h. Suppose -h*q = q. Suppose q - 10 = -5*s. Solve -s*x = -2*a, -2*x - 6 = -0*x + a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/6 - j**3\/2 - 5*j**2\/2 + j. Let w(a) = -2*a**2 - 2*a - 4. Let k = -647 + 643. Calculate k*o(t) + 5*w(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 12*i**2 + 13*i - 16. Calculate the least common multiple of t(11) and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11058\/873 - (-180)\/(-6).\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 3271*n + 132197. Calculate u(-39).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 50*t**4 - 3*t**3 + 3*t - 148. Let w(y) = 51*y**4 - 2*y**3 + 2*y - 149. Let o(x) = -2*r(x) + 3*w(x). What is the first derivative of o(u) wrt u?\nAnswer: 212*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-94.\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (3 - (4 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 7. Suppose 0 = -3*o + 797 - 152. Let i = 219 - o. Let s be 14\/(-4)*(2 + 0). Let u(r) = -2*r - 4. Give i*x(p) + s*u(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33846892 to the power of 1\/2, to the nearest integer?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -245, -554, -987, -1544?\nAnswer: -2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -37, -3 in descending order.\nAnswer: 4, 2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592779267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h + z, 6 = -h - 0*z + 3*z. Let y = 25 + -13. Suppose y = -3*p - 3*b, -3*b + 4*b = -2*p - 4. Do h and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12012)\/132 - -99 - ((-412)\/(-6))\/((-8)\/12).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/5)*q)**(-23))**(-29\/5)*(q*q\/(q\/q**(-1\/4)))**(-3\/8)\/((q*q**(-8))\/q**(-4\/7)) assuming q is positive.\nAnswer: q**(1827321\/5600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3199\/(-35))\/((-1)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -0.5 (c) -0.4 (d) -0.06 (e) -881 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3555684 and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 - 2 = 0. Suppose r = 6*r + q*w + 5, -4*r - 13 = 5*w. Solve 5 = 5*y + 5*d, 5*y - d = -r + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2457568 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2418873286 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320)*1)**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 224 (b) 8 (c) -1\/8 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, -275, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*p + 10, 5*p - 15 = 5*u + 2*p. Let z be (-27)\/(-6)*4\/6. Suppose u = -z*b - b + 28. Solve 9 = 4*t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 25, 0*x + 4*x - b = -9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 + 2*h**4 - 2*h**4 + (-3*h**2 - 3*h**2 + 7*h**2)*(h**3 - 3*h**3 + 3*h**3) + 32*h**3 - 3*h + 9*h**5 - 32*h**3.\nAnswer: 13*h**5 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*y + 19 = 0, 769*w - 4 = 767*w + 5*y. Let n(j) = 39*j. Let a(r) = -r. Calculate w*a(v) + n(v).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 10. Let z(h) = -8*h + 1. Let v be z(u). Suppose r + 4*r - v = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuddduduu. What is prob of sequence dd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:38 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - (-1 - -5)) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 3*f + 31 = -12*x, -1 = -x + 2*f. Solve x*t - 15 = -5*i - 0, -3*i = -t - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*s - 10749 - 19305 = 6196 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 50 = -55 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4290 = 2177*j - 2179*j. Let a = j - 21463\/10. What is the common denominator of (-213)\/(-180) - 1\/(-4) and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -663 - -663. Solve o = -8*t + t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -37, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 13*l**2 + 17*l - 22. Let s(g) = -2*g**3 - 14*g**2 + 17*g - 24. Let k(y) = 5*c(y) - 4*s(y). What is k(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -3, 21 in decreasing order.\nAnswer: 21, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*5\/(30\/9). Suppose z = -i*z + 264. Suppose -48 = -3*l - 4*q + q, 2*q = 5*l - z. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*k**2 + 144*k**2 + 58*k**2)*(-k + 0 + 0) + 0*k**3 + 3*k**3 - 4*k**3 - k**3 + 2*k**3 + 0*k**3.\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68c (base 15) to base 16.\nAnswer: 5ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j**2 - 9*j + 11. What is i(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1628 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 1, n: 6, m: 2, k: 4}. Give prob of picking 2 n and 1 j.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 124*z - 830 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l. Let u(r) = -936*r**2 - 2. Give u(s(y)).\nAnswer: -33696*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + g + g = 30, 2*l + 5*g = 15. Which is smaller: -13\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8904774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 24*n**2 - 6*n - 4. List the prime factors of x(-3).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 12570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**4 - 73*q**3 - 100*q**2?\nAnswer: 72*q - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321204900?\nAnswer: 2, 3, 5, 1070683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46.7 (b) 1\/2 (c) 27 (d) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 143944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.785? (a) -4\/5 (b) 0.4 (c) 9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13225?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/7 + 248*f**3\/7 + 87594*f**2\/7 + 61416*f - 517752\/7 = 0.\nAnswer: -153, -6, 1, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*x**3\/21 - 28720*x**2\/7 - 31714*x\/21 + 18136\/7 = 0. What is x?\nAnswer: -2267, -1, 12\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 97*c**2 - 206*c - 777. What is f(-99)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102566623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 10, 1, 1\/3, 16.3, 4, 2\/17?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 50. Suppose 26 = 4*q - 18. What is the remainder when s is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7 = 6*o - 5*f, 5*o = 4*f - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4160 and 255424.\nAnswer: 1277120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1852745 by 2.\nAnswer: 1852745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46680, -46704, -46728, -46740, -46728, -46680, -46584?\n\"Answer: 2*m**3 - 12*m**2 - 2*m - 46668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 14 = 18. Suppose -3*h + 115 = -u*d, 3*h - 2*d - 64 = 61. Suppose 0 = 7*n - 67 - h. Calculate the highest common factor of n and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 15*l - 2. Determine p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 23*y**2 + 45 + 446*y - 404*y - 42*y**3 - 39*y**2 - 32*y**2.\nAnswer: 3*(y - 15)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 53*v**4\/12 + 4*v. Suppose 0 = 33*t - 31*t - 14. What is the smallest common multiple of t and w(1)?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12428 or -12485?\nAnswer: -12485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1300783 divided by 11\nAnswer: 118253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.23842m to kilometers.\nAnswer: 0.05823842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m + 4*u - 8 = 0, 3*m - 3*u + 12 = 0. Which is the second biggest value? (a) m (b) -1\/4 (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340185 and 147164031.\nAnswer: 735820155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269428 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 760\/(-3192)*24\/(-10). Which is the smallest value? (a) 0.6 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48746176919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521529 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/195 and -83\/21840.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283699290 and 560.\nAnswer: 2269594320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7123319 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 14.8, -2.237, -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -1 - 52 - (-97 - -79)) + 7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let k = f + -2. What is the units digit of 4\/1 + (k - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 54*r**2 + 49*r - 210. Let c be i(-53). Solve 3*z + 3 = -c*x, 17*z + 24 = 12*z + 3*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155746 or -155748?\nAnswer: -155748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**3 + q + 5*q**3 - q.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 + 45*c**2 - 16*c**2 as w*c + f*c**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28376, 113504, 255384, 454016, 709400?\nAnswer: 1021536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (188\/((-4)\/1))\/(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37d + 6bb7a?\nAnswer: 6c008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5915 - 745 = 15*l + 133*l for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/3 - 6\/3. Suppose -3*z - 5*v = 2*z, -2*v + 12 = m*z. Suppose -52 = -z*g + 3*x, -4*x = -2*x + 8. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -0.1. Let d = 0.9 - c. Let l = -1.11 + 0.11. What is the nearest to l in 1, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*y**2*z**2 - 2*l**2*y**2 - 7*l**2*z**2 - 54*l**2 + l*y*z - 565*z**2 + 15 wrt z.\nAnswer: -4*l**2*y**2 - 14*l**2 - 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose v*n = 321 - 17. Suppose -2*t - 2*t + n = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 28*u**3 - 119*u**3 - 57*u**3.\nAnswer: -211*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i + 7. Give k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**26\/u**21 assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 20 = -5*o, 0*o = 4*o - 4. Let r = v + 12. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 11. Give h(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 + 4*y + 17. Let p(j) = -2*j**2 - j - 4. Let r(t) = 2*t**2 + 34*t + 23. Let k be r(-16). Calculate k*p(m) - 2*q(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h - 84 = -3*f, 2*f - h = 51. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9843766 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -i - 0*t + 119, -4*i - 5*t = -473. Let x = 127 - i. Suppose l + 2*v + 797 = 4*l, 0 = -5*l - x*v + 1345. What are the prime factors of l?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 841 and 20235301?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 141. Let x be d(-23). Factor -12\/7*o**2 - 15\/7*o - 6\/7 - 3\/7*o**x.\nAnswer: -3*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + g - 13 = 0, -2*g + 5 + 1 = -p. Let n be (-1750)\/p*(51840\/21)\/3. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 a, and 1 q when four letters picked without replacement from hbqwqea?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6050\/(-100))\/(1\/(-2)) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/17 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-22416\nAnswer: -67248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*q**2 + 26 + 5*q - 38 - 2*q + 18 + 2*q**3 + 19*q**2 to f + d*q**2 + l*q + z*q**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6109 is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35422 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 932, 902, 868, 830, 788?\n\"Answer: -2*i**2 - 24*i + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1524, -6 in descending order.\nAnswer: 1524, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u + 2*u - 4 + u - 5*u**2 wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8882627t in nanograms?\nAnswer: 888262700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45133 + -1?\nAnswer: -45134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 591709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -85*((-891)\/45 - 9)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6154.791mg to grams.\nAnswer: 6.154791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnxx when four letters picked without replacement from {n: 18, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 5*z = 117862, 3*f = -5*z - 117842. Let y = f + 6884. Round y to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(0\/2 - (-1 - -2)). Solve -2 = -b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76851.59 micrometers to millimeters.\nAnswer: 76.85159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t**2 + 46*t + 684. What is the tens digit of n(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 72. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1880 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.1 + 12. Let y = p - -0.9. Let v = -182\/3 - -60. Which is the closest to 2? (a) v (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*j + 11 = -4*v, 4*j + 33 = 3*v. Let x = 29 - v. Let p = x - 11. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(-8 + 480\/36). Let p be (9\/5)\/((-18)\/(-30)). Sort z, p, -3, 5.\nAnswer: z, -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((-3*sqrt(20))\/sqrt(2)) - (-2*sqrt(121)*-2)\/sqrt(11))*5.\nAnswer: -65*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4004 (base 10) to base 9\nAnswer: -5438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231820 and 637505?\nAnswer: 2550020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74902 + 72058 = 79*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Let l be ((-51)\/(-119))\/(1\/7). Solve -w - l*w = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 33, 115, 281, 561, 985, 1583, 2385?\nAnswer: 3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 528, 1055, 1582, 2109, 2636?\n\"Answer: 527*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.49 + -1.4. Let v = n + -0.0900019. Round v to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 155. Let w be q(-33). Find the second derivative of w*a - 38*a - a**2 - 47*a**3 - 29*a - 1 wrt a.\nAnswer: -282*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/15*7*78\/273.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999384 less than -1.27?\nAnswer: -1999385.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c7cb + -e42?\nAnswer: -1d71d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -38\/2307713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2127 and 52020039?\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6323211 by -4.\nAnswer: 6323211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*3*(sqrt(76) + ((sqrt(76) - -1*sqrt(76)) + sqrt(76) - sqrt(76))))\/(4*(sqrt(144) + (sqrt(144)*1 - sqrt(144)) + sqrt(144))).\nAnswer: -1 + 3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -31*a + 100. Suppose 3*c - 3*t - 2*t = -63, 0 = -4*c + 3*t - 73. What is the hundreds digit of y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 3*s**3 - 3*s**3 + 5*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -133876873 at least -133876874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in -44, 2, -1\/6, 0, -2.9, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 7*x**3 + x**3)*(-4*x**2 + 4*x - 4*x).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/17 - 110*a**3\/17 + 36*a**2 + 720*a\/17 = 0 for a.\nAnswer: -60, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*q + 2784 = -2*i + 3562, -5*i = 2*q - 60 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246915 by -1395.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 140580 divided by 220\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6)*(-16)\/40. Is -1.2 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*t - 11 - 72, 3*i = -2*t + 37. Suppose 4*v + 191 = -2*n + 203, -3 = -n - 3*v. What is the lowest common multiple of n and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {x: 1, v: 2, y: 2, o: 1, m: 5, i: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182922 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 37955 = -t + 5952, 0 = -5*t - 15. What is c rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) + (-55)\/(-22). Let k be s + (-3 - -4) - 2. Does 5\/7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 12*a - 0*a. Let c = -2 + 7. Calculate the greatest common divisor of c and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v = -56*v + 620. Sort -0.4, -0.423, v, 0.4.\nAnswer: -0.423, -0.4, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8571 = 24*j - 5757. List the prime factors of j.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g**4 + 7*g**4 - 6*g**4 + (g**2 - 3*g**3 - g**2)*(2*g + 0*g - 3*g).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-1)\/(-1) - -4. Let k be -1 - -4 - (-3 - w). Let z be (6\/4)\/(6\/16). Solve -k = -5*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -40. Suppose 0 = -o*t - 4*t - 90. Let v = t + 34\/3. Which is the closest to 0.1? (a) -0.4 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1286 - -859. Let a = p - -647. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x - 6. Suppose -2*z - 3*t = -3*z + 71, 0 = -4*z + x*t + 298. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 176868650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59264182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/75699 and 53\/3953170.\nAnswer: 35578530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, 0.4, -4 in ascending order.\nAnswer: -541, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -439 * -2\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 52593 times -54.6\nAnswer: -2871577.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Suppose -187 = -5*l + i, -3*l + 0*l - 2*i + 120 = y. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012.054 greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 571*c + 110*c - 4086. Suppose 99 = 4*a - 33. What is the lowest common multiple of a and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/22*(-9)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2845 by -15.\nAnswer: -569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 118*f - 58*f - 58*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/23 + 5942566*i**2\/23 + 4414258361760*i\/23 - 4414264304328\/23 = 0. What is i?\nAnswer: -1485642, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -26*f**2 - 2. Let z(q) be the first derivative of -q**3\/6 + 35*q + 23. Let p(r) be the first derivative of z(r). Determine g(p(j)).\nAnswer: -26*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444 and 80?\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 796\/1791*(-270)\/(-4). Solve -5*q = -11*q - o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14487*k - 14478*k + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i + i)*(3*i**3 + 0*i**3 - i**3) + (4*i**2 + 2*i**2 - 3*i**2)*(-5*i**2 + 7*i**2 - 26*i**2).\nAnswer: -66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/108*3)\/(2332\/318).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -382, -387, -392?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 4:17 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -16, 1, -1\/6 in ascending order.\nAnswer: -16, -0.2, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgggg. What is prob of sequence dgd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5230*x = 5227*x. Solve x = -20*m + 16*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(175) + 1 + 1 + 1)**2.\nAnswer: 80*sqrt(7) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5143 - -244?\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/3)\/y**5*(y**(1\/3))**39 assuming y is positive.\nAnswer: y**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51192 divided by -8532.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/60 - 5*w**3\/6 - 5*w**2. Let x(m) be the first derivative of s(m). Let a(z) = -2*z. Determine x(a(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v**2 - 279*v - 37. Let f be i(-11). Solve -3*u = 3*o - f*o - 4, 3*o + u = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26319*c + 2173*c + 4351*c + 24412*c.\nAnswer: 57255*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -5*o**4\/6 + 5*o**3 - 19*o**2. Let y be b(-9). Suppose 6*g - y = 4*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1236479736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 9*y - 21. Let n be g(6). Is (6\/9)\/(n - (-48579)\/16191) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 996723.3 days?\nAnswer: 1435281552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 92*c**3 - 668*c**2 + 1780*c - 1200.\nAnswer: -4*(c - 12)*(c - 5)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 0. Suppose 21*h - 13*h = -8. What is the smallest value in f, -3, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5 - 3)*(0 + f + 0) to the form d + c*f and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(2\/7))\/d)**(9\/14)\/((d**7\/d)\/d*d*d*d\/(d**(-9)*d)))**(-1\/6) assuming d is positive.\nAnswer: d**(1487\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 - 66. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1081 (base 11) to base 9\nAnswer: -1847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 93. Let q = 39.066 - r. What is q rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-676)*-348 - (-18)\/39\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/120 - v**5\/15 + v**4\/4 - 2*v**3\/3 - 6*v**2. Let d be c(-5). Let y = d + 10. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192340885 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247802 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 6*v + 4 - 4*v)*((-2*v + 2*v + 2*v)*(-2 - 3 + 7) - v - 7*v + 6*v - 3) in the form a*v**2 + l*v + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/6 - 226*l. Let d(j) = 179*j. Give d(z(k)).\nAnswer: -358*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 2227?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -21, -23, -7, 33?\n\"Answer: x**3 - 21*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzqz when four letters picked without replacement from qzgzgyggzgqq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69191, -69194, -69197, -69200?\n\"Answer: -3*f - 69188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*-1)\/(6*sqrt(490)).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47269.7 rounded to the nearest 100?\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118217808 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233772814 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -116\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.348803666 rounded to four decimal places?\nAnswer: -6.3488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25753 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11478*h**3 + 15*h**2 - 109*h - 1.\nAnswer: 68868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/428595 and 37\/4?\nAnswer: 1714380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 15024?\nAnswer: 30048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**4\/6 + 4*x**3\/3 - 85*x**2. Let v be z(3). Solve 16*j = 11*j - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:45 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*k. Let o(m) = 43*m**2 + 6*m - 3. Let d be o(k). Suppose -d = 2*i - 4709. What is i rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 18*w = -28*w + 406 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 934950 + 4?\nAnswer: 934954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -163.000158. Round p to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {u: 5, k: 7, j: 5, z: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1596, 3197, 4798, 6399, 8000?\n\"Answer: 1601*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - n**2 - n + 52. Is 26 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2256 - 853. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 124*r + 84. Let o(t) = -165*t - 111. Determine -11*i(h) - 8*o(h).\nAnswer: -44*h - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 + 12*w - 26. Let d be u(4). Let c be 552\/115*d\/(-3). What is the greatest common factor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1068132 and 890110?\nAnswer: 5340660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4380*m - 8887. Give l(-2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k**2 - 9*k + 26. Let d(p) = -3*p**2 + 2*p - 5. Let g(v) = 11*d(v) + 2*l(v). Let j be g(2). Is j*87 + 1 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -0.059 in increasing order.\nAnswer: -0.059, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*j + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sct when three letters picked without replacement from tttvvtvsvttvctvttv.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 - 2)\/(5\/691). Let w be 4 + -1 + 1 + (-1102)\/1. Let d = w + g. What is the common denominator of d and -51\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 354 = 3*m - 3*s, -4*m + 4*s = -480. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as 56127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109*c - 3*p - 44 = 1104*c, 2*p = -3*c - 4. Let u(s) = 2. Let i(n) = -n. Let v(b) = -2*i(b) - u(b). Let l(t) = -t + 3. Give c*l(q) + 6*v(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 102a - -1161?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -154 times 3993\nAnswer: -614922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/4 - 3*a**5\/5 - 9*a**4\/8 + 843. Let c(y) = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 84 = -48 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1604074, 3208147, 4812220, 6416293, 8020366, 9624439?\n\"Answer: 1604073*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*q - 1251648 = 442*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -2 - (-27 + 21) - -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x - 254 - 261*x**4 - 258 + 533 wrt x.\nAnswer: -3132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4790411 is divided by 798398.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 8*i - 6. Let h be j(-5). Let d be 24\/h - 4\/6. Solve 4 = -d*y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9845 at least 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3310522 and 101\/522714?\nAnswer: 9931566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4 + (-2290)\/40)*10*12\/360.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 100*z**2 - 3062*z\/5 + 512.\nAnswer: 2*(z - 5)*(z - 1)*(z + 256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q + 34*q**3 - 85428*q**2 + 85428*q**2.\nAnswer: 34*q**3 - 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 731261188, 731261189, 731261190?\n\"Answer: y + 731261187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -897.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11576616.\nAnswer: 2, 3, 482359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/112*77\/(-22).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*t + 316*t - 353*t - 356*t - 102*t.\nAnswer: -971*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**6\/360 + s**5\/120 + 5*s**4\/24 - 5*s**3\/2 - 7*s. Let c(w) be the second derivative of n(w). Determine c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:53 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 = -w, 3*w - 20 = 5*f - 27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 224714.\nAnswer: 449428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, 0.2, 0.06?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 a factor of 2523078067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waahudadhddahuouw. What is prob of sequence aw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 3*f**2 - 108*f - 2. Determine l(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*f - 577, -2*f = -3*x + 167 + 440. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*g + 7*g - 15*g to the form w + d*g and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 4*d - 6*d)*(1 + d - 1) - 6*d**2 + 2*d**2 + 2*d**2 - 17 + 40 + 54*d**2 - 22)*(5*d**3 + 1258*d - 1258*d).\nAnswer: 250*d**5 + 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92253919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234*k**5 - k**3 - 6157*k**2 wrt k?\nAnswer: -14040*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (555 - 266 - 92)*(-3 + 3 - x**3).\nAnswer: -197*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 204*b**2 - 5434*b + 14520 = 0. What is b?\nAnswer: 3, 44, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - 6?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -396 and 0.13.\nAnswer: -51.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 4*b + 3*b**2 + 0*b. Suppose 3*n + 2*l = 3, -13 = -5*n + 5*l + 17. Let w(c) = -19 - n*c + 19. What is x(w(d))?\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/(24\/80). Suppose -d - 2*v - 3 = -5*v, z*d + 3*v - 39 = 0. Solve -3*o + 0*o - 2*r + d = 0, -5*o - 4*r = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(108)\/sqrt(6)) + -2 + 0 + sqrt(2).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i**4*z - 100195*i**2*z + 2*i*z - 299315 wrt i.\nAnswer: -132*i**2*z - 200390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/12 and 53\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 + i**4\/6 + i**3\/6 + i**2\/2 - 3*i. Let h be f(2). Factor -1 + 3 + 7 - 6*v - h*v**2.\nAnswer: -3*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 13*c**4 + 33*c**3 + 31*c**2 + 10*c.\nAnswer: c*(c + 1)**3*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 23.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let m(i) = -i**2 - i. Suppose w - 1 - 4 = 0. Let n(k) = 3*k**2 - 5*k**2 + 9*k**2 + 2*k + 3*k. Let j(y) = w*m(y) + n(y). What is j(z(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 - 7*b + 4. Suppose -16 = 4*v, 2*w + 2*v + 0*v = 8. Suppose w*o - 7*o = -9. List the prime factors of c(o).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025062519 to six decimal places.\nAnswer: 0.002506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 8*d + 8. Let q be c(-4). Suppose 44 = 6*o + q. Suppose x = -o*x + 2338. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.1, -21, 14, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -70. Let q = w - -54. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 2, j: 1, k: 1, v: 1, l: 1}. What is prob of picking 1 v, 1 k, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 7)*8\/10. Let j be (-6)\/k*16\/6. Suppose 2*i = -0 + 10. Sort j, i, 0.\nAnswer: 0, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 289*d - 1563 + 430 - 2335 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 29820, 0.186, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*l + 4*l. Suppose 0 = -4*i + 3*i + l. Let u = 5 + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) 283 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:44 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -103534553 (base 6) in base 7?\nAnswer: -21560511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*-3*2\/10. Sort 5\/4, f, 0.1.\nAnswer: 0.1, 5\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {b: 1, u: 3, t: 3, r: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -24 + 2 + 11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -18\/67 (c) 79.835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 48951*p**2 - 58*p - 9. Is j(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18254.1 and 0.4.\nAnswer: 18254.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**2. Let x(a) = -2*a. Let s(y) = -3*y. Let n(q) = -3*s(q) + 5*x(q). What is d(n(l))?\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 5. Let s = x - 12. Let w be (7\/21)\/(s\/(-96)). Calculate the greatest common divisor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 364 = -2*l + 3*l, -5*l - 364 = m. Let i = m - -2903\/8. Calculate the common denominator of (-1)\/2*(-126)\/20 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 2, -16, -52, -112, -202, -328?\n\"Answer: -a**3 + a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 63*i**5 - 6*i**4 - 198*i**3 - 108*i**2 + 39*i + 18 = 0?\nAnswer: -1, -1\/3, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/5, 23, 9, 0.5, -0.17.\nAnswer: -12\/5, -0.17, 0.5, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 19*x - 1. Let g be n(-5). Suppose 2 = -2*s + s, 22002 = -g*y - s. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162081565 to the power of 1\/2, to the nearest integer?\nAnswer: 12731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllrzwzwllww. Give prob of sequence zl.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94033 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -143023.3*0.6\nAnswer: -85813.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398562.\nAnswer: 2, 3, 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49293 in 13, -4, 21, -0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/2)\/z)\/(z*z\/(z*z\/(z**0*z*z*z))*z*z*z)*z**(-2\/3)\/(z*z**(-5)))\/((z*z\/z**(-3\/5)*z*z*z**(-3)*z)\/(z**3*z**1)) assuming z is positive.\nAnswer: z**(-143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*z - 18 = -z, 0 = -z. Let t = b - 0. Let f = t - -21. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 21. Suppose 7*y = f*y + 310. Calculate the highest common divisor of 31 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 78*x - 377. Calculate the remainder when 427 is divided by t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/5, 2\/39, 0.2, -1\/5, -0.3327, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*w = 2, 2*t + 1 = 5*w - 13. Let o be t\/(-10) + -2 + (-119)\/(-5). What is the greatest common divisor of o and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 107*z**5\/20 - z**3 + 5*z**2\/2 + 30*z. What is the second derivative of u(o) wrt o?\nAnswer: 642*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/42 + n**4\/12 + 2*n**3\/21 + 6*n**2. Determine p so that r(p) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f + 63. Let w be m(0). Let d be 111\/15 + 2\/(-5). What is the greatest common divisor of d and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 87*q. Let h(m) = 5*m**2. Give h(f(n)).\nAnswer: 37845*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(704) + -5 + -4)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y + 78. Suppose -4*d - 138 = -10*d. Suppose -2*v + 3*h + d = 0, -5*v + h + 25 = -0*v. Solve v*i + y = 5*r, -4 = i - 3*r + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055238328 rounded to five dps?\nAnswer: -0.05524","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 2, 7, 18, 35?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -23*p - 4. Let n = -4 + -2. Let b be t(n). Suppose d - b = -3*r, 0*r = r + 4*d - 63. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(-2)\/8*10. Let u = -53 - -27. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/12 - a**3\/2 - a**2 + 314. What is n(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.387164797 rounded to three decimal places?\nAnswer: -5.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296\/160*10 + -78.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2832)\/(-18) - 12\/9. Let z be (-4)\/((-112)\/q) - 12\/21. Solve 0 = -4*v - 16, 3*v + 4 + 3 = -z*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 3}. What is prob of sequence ccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*w**2 - 2719 + 2719)*(-266*w + 171 - 171) to p*w + j + y*w**3 + g*w**2 and give y.\nAnswer: 12768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4269240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081106 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 2*d**2 + d. Let r(i) = -2. Let u(l) = 3*l - 2*l - 6003 + 5996. Let b(a) = 14*r(a) - 4*u(a). Determine x(b(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -w + 11, -2*q + 37*w - 40*w = -10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16367520738 divided by 6.\nAnswer: 2727920123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times 0.332\nAnswer: -0.07968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*u + i + 20, -3*u + 3*i = 48. Does 10 divide (-5)\/(u\/(-36))*46\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 7 + (-46 + 32 - (-12 - -2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 433 divided by -295\nAnswer: -433\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvjvvppojep. Give prob of sequence vvoo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142250022 + -5?\nAnswer: -142250031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864 - -536. Let t be 2 - (-1)\/((-4)\/l). What is the greatest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 46. Let q be (-10 + c)\/((-2)\/4). Solve 2 = q*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 238 (c) 0.09 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 6. Let z be u(-4). Let y(b) be the first derivative of b**4\/4 - b**3 + b**2\/2 - 2*b + 1. Let k be y(3). Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 39. Let l(w) = 10*w - 1. What is h(l(g))?\nAnswer: 10*g - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 12 = 27*b. Let w = -412 + b. Let o = -99 - w. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 - 11*s + 14. Let g(a) = 6*a**2 - 7*a + 12. Let b(t) = -11*t**2 + 14*t - 25. Let z(i) = -3*b(i) - 7*g(i). Determine -5*q(j) - 8*z(j).\nAnswer: 2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.7, -11, -2\/7, -4 in ascending order.\nAnswer: -11, -4, -2\/7, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9933 and 462.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1374 and 59\/8.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/(-3))\/(15\/(-45)). What is the greatest common divisor of q and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - 14\/(98\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/22 and 25\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 421 + 1424. Does 50 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30093251.\nAnswer: 67, 449153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - f = 14270, 540*f - 541*f + 9505 = 2*u. Are 4753 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 829504 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaaakbbabbakkbk. What is prob of sequence ka?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x - 2*w, -7*x + 4*w = -2*x + 2. Let g be x\/((-69)\/75 - -1). Suppose 5*i + 0*i = g. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85205 is divided by 28397.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - p + 8366, -4*p - 1252 = -3*x + 3763. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16864*r**3 + 155*r**2 + 155*r - 155. Let i(y) = 219*y**3 - 2*y**2 - 2*y + 2. Give -155*i(v) - 2*w(v).\nAnswer: -217*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-252))\/((-2)\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.013 + 0.613. Which is the nearest to -3\/2? (a) 2\/11 (b) x (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, h: 5, b: 8}. Give prob of sequence hbvb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 5. Let w be u(-4). Let c be ((-8)\/(-18))\/((-8)\/(-36)). Solve -c*g = -w*g + x - 2, -g + 7 = 2*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 5, y: 1, p: 3}. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -25 - 10) + (16 - 6) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10433 - 4?\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.2 from 0.03700259.\nAnswer: -4.16299741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.08449 and -7.1?\nAnswer: 6.01551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -67 and 0.568?\nAnswer: 67.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:53 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 21*i - 33 = -4*l + 15, 2*l = 3*i - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1021 + 36*x + 378 - 13*x - 24*x in the form m + s*x and give m.\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1019671 and 12532?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 9. Suppose x + 3*x - 77 = -5*n, 3*n = 4*x + 27. Let a be d(n). Suppose 4*o - 1 = 3, 3*w = -4*o + 16. Put a, 5, w in increasing order.\nAnswer: a, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 685532 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-7)\/2)\/(-7))\/((-2)\/4). Is a smaller than 6\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-9 + -3 + 10) + 21 + 3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*t + 36 = -1, 2*t = -5*n + 55. What is the remainder when (5 + -3)\/(2\/25) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 87. What is the tens digit of ((-201)\/(-2))\/v*(1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/3 + 151\/15. Let v(u) = 11 + 186*u**2 - 88 - 185*u**2. Let i be v(9). Which is the closest to 1? (a) i (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1146646 (base 7) to base 3\nAnswer: -21102212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 + -214. Calculate the greatest common divisor of 273 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 12*j**2 + 2*j + 2. Suppose 0 = 5*p + i + 55, p = -4*i - 27 - 3. Is o(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 21, 60, 115?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*f = -10, -4*g = 20*f - 16*f + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Suppose 3*w = -h*m - 2 - 4, -2*m - 3*w - 9 = 0. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -13, -33, -51, -61, -57?\n\"Answer: t**3 - 8*t**2 + t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.5124 and 0.\nAnswer: -2.5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12034913 greater than -12034912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -29, -40, -63, -104, -169?\n\"Answer: -x**3 + 3*x**2 - 7*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7777232308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -431 and 23709?\nAnswer: -10218579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542400.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3333720, 4, 2\/7, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/6 - 973*t**4\/6 - 226211*t**3\/6 - 73129*t**2\/2 + 225231*t = 0.\nAnswer: -193, -3, 0, 2, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99.9 - -99.6. Which is the smallest value? (a) 2 (b) k (c) -18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/2)\/(((-52)\/(-156))\/(6\/9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 209*k**3 + 196*k**3 - 401*k**3 + k**2 + (4*k**2 + k**2 - 3*k**2)*(k - 4*k + 2*k).\nAnswer: 2*k**3 + k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let j(t) = 13*t. Give j(h(y)).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/5 - 138*u**4\/5 - 2039*u**3\/5 + 2178*u**2\/5 = 0. Calculate u.\nAnswer: -121, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.071, -3\/8, 20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -62. Let n(h) = 0*h + 6*h**p + 9*h - 9*h. Let k(j) = 0*j + 2*j**2 + 0*j. Calculate n(k(d)).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352485788.\nAnswer: 2, 88121447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5, 2 = 2*q + 2*d - 4. Suppose 0 = 2*m + 2*w - w - 5, m - q*w = 10. What is the tens digit of 140\/6 - m\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51739 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 42*c**3 - 2*c**2 + 8*c + 18. Is 66 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 4. Let r(p) = 3 - 3*p + 2*p + 2*p + 0. Let v(k) = 5*q(k) - 6*r(k). What are the prime factors of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.798156 - -0.395936. Let a = s + 3.462. Let v = a - 0.06. What is v rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 39. Let v = -21 + j. Which is the third smallest value? (a) -2\/9 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5215392 and 1158976?\nAnswer: 10430784","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 85001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 43420*k**3 + 265264626*k**2 - 321335962480*k + 109539063229472.\nAnswer: 2*(k - 10124)**2*(k - 731)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 24. Suppose -m*n - 24 + 60 = 0. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 21*j = -22*j - 5, 0 = -x + 5*j + 25. Suppose 3*s = -0*s + 54. Solve -2*o - s = 4*i, x = -3*o - i - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66512230763 - -0.85.\nAnswer: -66512230762.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 44 + 19*i)*(-5*i**2 + 3*i**2 + 4*i**2) + 4*i**3 + 0*i**3 - i**3.\nAnswer: 41*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 79 (c) -1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -22. Let j = 12 + u. Calculate the least common multiple of j and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/t**(-7\/4) assuming t is positive.\nAnswer: t**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus -945?\nAnswer: -943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:29 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 2*j, 3*j = 3*m - 6. What is the third derivative of -g**2 + 23*g + 3 - 54*g**m - 23*g + 16*g**3 wrt g?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 11) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 18*a - 217. Let h = a - -831. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 455, 4.\nAnswer: 3, 4, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18854338 (b) 3\/4 (c) -5 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - b + (2 - 3 - 2)*(3*b + 0*b + 0*b))*(0*b**2 + b**4 + 0*b**2).\nAnswer: -11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11415.\nAnswer: 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41913 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -2. Let q(z) = 5*z**3 - z**2 - z + 2. What is the units digit of q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let l = 0.097 + 90.903. Let s = l + -93. Which is the closest to n? (a) 3 (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/726 and 35\/3366?\nAnswer: 37026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 a factor of 729781999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-1 + 59 + 48)*(-i - 5*i + 2*i).\nAnswer: -424*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*f + 5*c, 0 = 5*f + c - 19 - 206. Suppose -f - 71 = -3*y. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 11:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083, 2429, 4109, 6171, 8663, 11633?\nAnswer: 15129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2848? (a) -5.7 (b) 2\/11 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + (2 - (0 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-91 - -4)\/(3\/40*-2).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53776b + 4?\nAnswer: 537773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*f = -2841 + 5063 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38270\/267*(-162)\/(-4)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/18, -167, -1\/3?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - -30. Let z = b - 106.7. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 14*v - 22 - 23*v)*(-7*v**2 + 3 - 2 + 1).\nAnswer: 7*v**3 + 154*v**2 - 2*v - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*1\/(-28)*7. Let y be ((-4)\/((-40)\/6))\/(f\/(-15)). Let x(k) = -k**2 + 1 + 6*k - 2*k + 1. What is x(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*o = -702, -17*o + 18*o - 473 = 2*l. What is the fifth biggest value in l, 0.3, -1, -3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 139*y = 53*y - 656, 3*y = -8*p + 9*p - 44 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 61. Suppose -z = -3*p + 6. Let w(d) = -4 + 5*d + d - d**2 + 0*d**2. Give w(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s\/s**(-21))\/s))\/(s**(-1\/16)*s*s))**(-3\/13) assuming s is positive.\nAnswer: s**(1149\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8300 + -8297. Solve -16*f + 5*r - 27 = -13*f, -4*r = n*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 27*r**2 + 53*r - 72. What is y(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -22, -92, -202, -358?\n\"Answer: -x**3 - 11*x**2 + 4*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 8. Let d = 95 + -93. Let x be o(d). Solve c = -4*b - c - 10, 5*b + x = -3*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6231*d**2 - 1703*d + 9338100?\nAnswer: -12462*d - 1703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3605116.372 to the nearest 100.\nAnswer: -3605100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20118 and 40236.\nAnswer: 40236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -60. Suppose -4*p - n = -4. Let t be (-4)\/(-2)*6\/p. Is -1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q*q**9\/q)*q))**(1\/54)\/(q**(2\/69))**(-4) assuming q is positive.\nAnswer: q**(187\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 74, 99, 108, 95?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39825 = -2025*y + 1494*y for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 5*s**2 - 13*s + 34. Let h be v(4). Let k = 70 + h. Solve 3 = b - 6*b + k*r, -b = r + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(12\/13))\/x*(x\/(x*(((x*x**16*x)\/x)\/x)\/x)*x)\/x*x**(-19)\/x*x*x\/x**(-8) assuming x is positive.\nAnswer: x**(-337\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113990*b**3 - 9*b**2 - 195*b + 2 wrt b.\nAnswer: 683940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:41 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-435736)*31*-28.\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 22103 in ascending order.\nAnswer: -10, -5, 22103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -12\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 95658629*q + 2. Let z(d) = 3*d. What is z(w(s))?\nAnswer: 286975887*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -872 (base 13) to base 7\nAnswer: -4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x\/(x**(1\/3)\/x*x))*x*(x*x**(2\/9))\/x assuming x is positive.\nAnswer: x**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97804800 a multiple of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 269*n**2 - 62. Let r(y) = -2*y. What is r(v(l))?\nAnswer: -1076*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -32. Let o be 23 + ((-27)\/(-9) - b). Let g = -13 - -21. Calculate the highest common factor of g and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/n*n*n*n**6)**(5\/4)\/((((n**(-1\/2)\/n)\/n)\/(n*n\/(n\/n**(2\/11))))\/(n**0)**(1\/36)) assuming n is positive.\nAnswer: n**(424\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506.8 - -502.8. Which is the second biggest value? (a) 1\/5 (b) 0.0486 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 886 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**4 - d**2 - 6*d**4 - 11*d**4 - 2*d**2 - d**2 - 3*d**3.\nAnswer: d**2*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - c?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose -3*t = i*g, -4*t + 2 = 2*g - 0. Let b = g - -6. Solve 4*y = -b*v + 2, 4*y - 2*y = 4*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84775.\nAnswer: 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 424, 510, 942, 1882?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 306 = -17*m - 33*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 - 96*p**2 - 71*p**2.\nAnswer: -150*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + (4 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21804*i + 20. Let c(o) = 4*o - 25. Let k be c(5). Let m be v(k). What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/36)\/((-10025)\/1995 + 5) and 63\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*q - 511 + 551, -2 = -2*q. Solve c = 8*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*l + 70 + 100, 5*l + w = 428. Let j = 12 + -8. Suppose 3*i + 7 = a, j*a = a - 4*i + l. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8563593 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 10 - 16 - 14 + 6*c - 2*c + 39. Let b(f) = -2. Suppose 4*r - 2*n - 6 = 3*r, 3*r = 5*n + 13. What is r*d(p) + b(p)?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3*h = u + 38, 0 = 4*u + 5*h - 20. Let j be -10*(35\/u)\/(-7). Solve -o = -q + 4*q - 4, j*o + 6 = -2*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {d: 9, g: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5333, 3936, 2565, 1232, -51, -1272?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6776 + 4193 = 7*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 62*x**2 + x + 28. Let f be k(31). What is the first derivative of 81*d**2 + d**3 - 83*d**2 + d**3 + f wrt d?\nAnswer: 6*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1312683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f. Let z(c) = -11*c + 3*c + 5*c + 6*c + 6*c. Calculate z(q(y)).\nAnswer: -234*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 + -2.7. Let r = 457 - 459.03. Let z = r + 0.03. Which is the smallest value? (a) 0 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327855 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 6}. Give prob of sequence eece.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*m + 319, -4*m - 1 = -5*m. What is the highest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(2\/9)*v*v*v)*v\/(v\/(v\/(v\/(v**(2\/5)*v*v))))*(v**1)**(-1\/61)*((v*v**(1\/3))\/v**(-6))\/(((v**(1\/7)*v)\/v)\/(v\/v**(-3\/4))) assuming v is positive.\nAnswer: v**(699569\/76860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -39*q**2 + 751*q - 3640. What is v(5)?\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -16) + (10 + -2 - 12) + -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = 4*u, 0 = -4*r - r - u - 1. Suppose -20 = -4*d, -2*i - 3*i - 2*d + 30 = 0. Solve 0 = i*z + 4 - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 2676182?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least 153\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -21.5. Let l = -8 + i. Put -1, 0.5, l in increasing order.\nAnswer: -1, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let i(v) = 25*v - 2. Let j be i(y). Let r = -151\/2 + j. Which is the third biggest value? (a) 1 (b) 3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d - 43*d + 37 + 21 + 3*d + 2*d + 90.\nAnswer: d + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75642, 151525, 227408, 303291, 379174?\nAnswer: 455057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/18 + 1)\/(5\/45).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412610 divided by 6?\nAnswer: 235435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75.12 - -75. Let h = k - -0.066. What is h rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u + 5480 = -23160. Calculate the remainder when u is divided by 162\/4 + (-2)\/4.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3\/3 + 3*p**2 + 4*p + 1. Give l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from cchqcnwoqww?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*y - 5, -2*m - 4*y + 12 = 3*m - 21 + 38 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ome. Give prob of picking 1 o and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 - 5*k - 5. Let r(q) = 8*q**2 - 2*q + 6 + 5*q + 3*q. Let a(m) = 6*i(m) + 5*r(m). Let w(j) = 2*j - 2*j - j. What is a(w(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 + 1. Let n be (-1 - -2)*q - -1. Let h = -8 + 13. Put n, 0, h in descending order.\nAnswer: h, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98*214\/36701*(-7)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*q**6 + 4*q**3 + 180*q**2.\nAnswer: 1680*q**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95637464 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, s: 7, n: 2}. Give prob of picking 1 n and 1 s.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k - 380. Give q(32).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 2.1. Suppose -2*o + 3 = 7. Let w be 170\/25 + (-7 - (-2 + 1)). What is the closest to o in s, w, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -415382.\nAnswer: 9\/415382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - -1.5. Let c = 0.33 - 0.03. What is the closest to a in c, -2, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 + 4*c - 5)*(-18 - 74 + 17) + 0*c - 3*c + 0*c)*(-2*c - c + 5*c) to the form a*c + i*c**2 + w and give i.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010200001020 + 101?\nAnswer: 10010200001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 6792?\nAnswer: 6790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*y + 24 = 0, -5*w + 4*y = -4 - 62. Suppose 2*a - 2*r = -18, -3*a + w = -r + 33. Let p = 7 - a. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/2 + 5*r**3\/3 - 3*r**2\/2 + 2*r + 191. What are the prime factors of i(-8)?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-35*r**3 - 2251*r**2 + 2247*r**2 - 84*r**3)*(-6*r**2 + 4*r**2 + 4*r**2).\nAnswer: -238*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 27 = 2*q + 11*x, 3*q - 3*x - 18 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/20*-2*(-400)\/24. Solve l*g - 5*h = 82*g - 10, 5*g + 9 = -4*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504930*x**2 - 252042*x**2 - 252156*x**2.\nAnswer: 732*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -302\/3 <= -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:00 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:16 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 9. Let a be (0 - -2)\/(v - -6). Let w be ((-4)\/110)\/(a\/10). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1508534 - 47008534. What is i rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -1446 - 486. What is k rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114 - -42 - -210) + 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(130) - (sqrt(130) + (sqrt(130) - (sqrt(130) - 6*(sqrt(130) - (sqrt(130) - (sqrt(130) - -1*sqrt(130)))))))))\/((sqrt(10) + sqrt(490)*-2)*6) + 0.\nAnswer: 2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + g + 4*g)*(3 + 0 - 4)*(-3*g + 5*g - 4*g) in the form l*g + a + f*g**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003200220 (base 4) to base 2.\nAnswer: 1000011100000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/42 and -1\/693?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*4\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) 0 (c) 182 (d) 4 (e) 20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5\/5 + 1392*f**4\/5 + 30609*f**3.\nAnswer: 3*f**3*(f + 179)*(f + 285)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 - -161. Suppose 3*g + 7 = 4*t, 0 = t + 4*g - 0*g + 22. Put -5, 2, m, t in increasing order.\nAnswer: -5, m, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315836754 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -0.00254?\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-8)\/(-140))*(1 - 0). Let r be (4\/7*-3)\/(5\/h). Suppose -239 = -r*f + 229. What is the remainder when 155 is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 - (102 + -32 - -49).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -7*d + 54 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 12*l + 4. Let r = -9 - -12. Suppose 3*p = 3*i + 30, -r*i - i = p. Does 9 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8471, 16937, 25403?\n\"Answer: 8466*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 23 - 23 + 306*d.\nAnswer: 303*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*g + 5*g - 28 = 0, -5*y - 21 = 4*g. Which is the closest to y? (a) -5 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -39.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**(-2\/5)*r)))\/r*r**(-3\/14)*r)\/(r**(-4\/5)*r\/((r**(-3\/4)*r)\/r)*r) assuming r is positive.\nAnswer: r**(-79\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**4 + 16*h**3 + 36*h**2 - 6*h - 31. Let j(q) = -q**4 - q**3 - 2*q**2 - 4*q - 1. Let y(l) = -2*j(l) - k(l). Determine g, given that y(g) = 0.\nAnswer: -11, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/249 - 1480\/1743. Which is the closest to -1? (a) v (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 2 r when four letters picked without replacement from {r: 2, l: 2, b: 3, s: 2, a: 4}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**6\/360 + 7*p**5\/120 + p**3\/6 - 11*p**2\/2 - 3*p. Let s(g) be the second derivative of t(g). Calculate s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 a factor of 3164476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 628394058*g**3 - 30116*g**2 - 43 wrt g.\nAnswer: 3770364348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7750959311 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/108 and -155\/4992?\nAnswer: 44928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 + 11*u**2\/2 + u - 66. What is p(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(-1 + 1 + 1)*(-21*b - 13*b - 6*b).\nAnswer: -160*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4467 - 4467 + 9*d + 7*d + 10*d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7)*t*t**(-2\/3))**1)**5 assuming t is positive.\nAnswer: t**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 times -697?\nAnswer: -431443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127532 is divided by 9092?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*-3*1. Suppose 38 = 5*n + 2*z, 0 + 2 = d*n - 4*z. Suppose -2*j - 140 = -n*j. Solve 9*s - 4*s + 5*g = j, 3*g - 13 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*h**3 + 2*b*h**2 - 5*b*h - 2*b + 953645*h**3 + 3*h**2 - 274*h wrt h?\nAnswer: -12*b + 5721870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 42132289011?\nAnswer: -42132289010.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*t**3 + 2*t**4 - 3*t**4 + 3*t - 2*t + 4 to the form o*t + y*t**3 + j + i*t**4 + w*t**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 4*q - q. Let a(j) = -j**2 + 7*j - 2. Let c be a(6). Let w(l) = -c*l - l + l + 2*l. What is p(w(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -717, -651?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 70.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, 265\/3, -2.97 in descending order.\nAnswer: 265\/3, 2\/3, -2, -2.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510522351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i. Let a(n) = -122*n**2 + 3439. Give a(q(s)).\nAnswer: -14762*s**2 + 3439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19426 is divided by 127.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02982981 * 2.\nAnswer: -0.05965962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 363132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021022 (base 3) to base 16.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1464 divided by 5.\nAnswer: -1464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(4\/3))**37 assuming m is positive.\nAnswer: m**(370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 31 = 5*z. Suppose -118 - 47 = -4*m - 3*i, 4*i - 207 = -z*m. Differentiate 36*v**2 + v - v + 2 - m*v**2 with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -113 + 109 + -7 + 45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4772.6 + 4773. Is 0.006 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122197835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 4. Calculate the lowest common multiple of i and 21 - (0 - -1) - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5020, 10043, 15068, 20095, 25124, 30155, 35188?\nAnswer: 40223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149838, 1149885, 1149932, 1149979?\nAnswer: 1150026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 8. Calculate the remainder when (-189)\/(-6) - b\/(-4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87928045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23538273 divided by -5\nAnswer: -23538273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2*t - 2*l + 8, 2*t - 4 = 4*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38033244*z**5 + 227699*z + 21 wrt z.\nAnswer: -760664880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 3*z**2\/2 + 3*z + 13. Let g(l) = -2*l - 4. Let i(k) = 4*g(k) + 3*t(k). What is i(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726 a factor of 570882200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 30 = -26*g. Which is the third biggest value? (a) 29 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -331, -2231, -5689, -10699, -17255, -25351, -34981?\n\"Answer: o**3 - 785*o**2 + 448*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28046 and 10612.\nAnswer: 392644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 + 3*o**2 + 784*o**3 - 5*o - 783*o**3 + o + o - 1. What is h(-8)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/8)\/g)\/g**(-5\/3))\/(g**(-1))**(-26)*(g\/(g*g\/(g**5*g)))\/g*g**4*(g*g*g**(-4))\/g*g\/(g*g**0) assuming g is positive.\nAnswer: g**(-497\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 + 250. Suppose j*i = -5*i + 5. Solve -n + i - 3 = -w, 4*n - 2*w + 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13324829*q**2 + 3*q + 1826911.\nAnswer: 26649658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969921830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -316 divided by -2\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(147) + -2) + ((sqrt(147) - (-2 + sqrt(147))) + sqrt(147))**2*2 + 4 + -1 + 4.\nAnswer: 42*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*c + 187, 3*c - 12 = 3. Let n = d + 166. What is the greatest common factor of n and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/9 - 16975*c**3\/9 + 10493750*c**2 - 162832812500*c\/9 - 52280078125000\/9.\nAnswer: (c - 5750)**3*(c + 275)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 460622537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -4 + 61 + -30 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -47784.19 to the nearest 100.\nAnswer: -47800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1795.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1630, 3259, 4888?\nAnswer: 6517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-4 - -2 - -6) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 28\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000222 + -1200122?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -2*j - 10, -2 = -2*j. Let f be 16\/40 + m\/(-10). Solve 2*p + 2*p + 4 = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 198?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10200130 is divided by 850004.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.389241 + -115.3891. Let z = u - -75. What is z rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -364981 and 15.13?\nAnswer: 364996.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 5*u + 6. Let r be i(4). Factor -2*c**3 - 2*c**r + 3*c**3 + 3*c**2 - 2*c**2.\nAnswer: c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0603811 rounded to 3 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 4}. What is prob of sequence pmm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.999999 + 4. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3661\/92 + -921\/23. Which is the second biggest value? (a) 4\/25 (b) 8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:14 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/108)\/((-4)\/2 + 748\/408)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -35*f + 1. Suppose 2 = -0*k - 2*k. Is s(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 2*u**2 - u**2 + 6*u**2 - 2*u**2 - 2*u**2 + (3 - 3 - 2*u)*(2*u + u - 2*u) - u**2 - u**2 + 3*u**2 - 14*u + 6*u**2 + 14*u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b, -6*y = -3*y - 3*b + 12. Let t be (-1 - 0)*(-2 - 3). Suppose 0*g + 10 = -t*g. Is g equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -978596, -978598, -978600, -978602, -978604?\n\"Answer: -2*r - 978594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + x - 30 - 5*x + 36. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*c**2*w - 5*b*c*w**3 + b*c*w**2 + 2*b*c + 2*c**2*w**3 - 9*c**2*w + 23*c**2 + 38*c*w**3 wrt c?\nAnswer: 4*b*w + 4*w**3 - 18*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989294059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -370 + 381. Suppose n*s = 2645 + 2437. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21210202100100 (base 3) to base 16.\nAnswer: -3f4c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23 - 0) + -1 + 3. Let h = t + 1. Suppose -2*w + 4*z + h = 0, 3*w - z = -3*z + 71. What is the remainder when 40 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*s**4 + 385651*s**3*t**3 - 4*s**2*t**3 - 535*s**2*t**2 + 409*s**2 + 60*s*t**3 wrt s.\nAnswer: 456*s + 2313906*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 5488.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*t - 15, t + 6 + 17 = 5*z. Suppose z*b + 0*b - 10 = 0. Solve 0 = 3*p - b - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 4)*(2 + 3*b - 2) - 2 + 3 + b + 0*b to the form z + u*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 - 4 = 0. What is the smallest common multiple of n and 90\/(-6)*56\/(-42)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*x - 13 = 0, 22*g = 21*g - 5*x - 14. What is the nearest to -1 in 3\/8, -0.5, 8, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 38564320*g**2 - 74360377417425*g + 148720600577610 = 0. What is g?\nAnswer: 2, 3856431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2550 - 1997. What is the highest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001382 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/18)\/(2\/12). Solve -5*j = k*f - 27, -4*j = -3 - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:28 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -595 + 571. What is the thousands digit of (z\/(-6 + -6))\/((-1)\/(-625))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/12 - 12*c + 11. Let i(b) be the first derivative of w(b). Let j(p) = 5*p. What is j(i(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 250\/(-3125) - (-43704)\/50. What is the greatest common factor of 322 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*b + 664 = 0, 4*b - 146 = -r + 2*r. Let m = r + 136. What is the third biggest value in -3, -4, 0.1, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505 and 274771106.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 189 = 6*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 10*b + 8. Let z(c) = 2*c**3 + c**2 - 21*c + 17. Let q(x) = -7*l(x) + 3*z(x). Let n be q(4). Let m = n - 4. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 248, 247, 246?\n\"Answer: -t + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 + 54*b - 8*b**2 - 26*b)*(-2*b - 3 + 3).\nAnswer: 4*b**3 - 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, 68, 0.4, 10 in decreasing order.\nAnswer: 68, 10, 1, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2752807010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371093.02ms in days?\nAnswer: 0.02744320625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + c + 1. Let t be f(3). Let r(x) = 6*x + 2. Let d(z) = 2 - 6 + 3 - 3*z. Let b be 0 - (-5 + -2 + 2 + (-32)\/(-4)). Give b*r(h) + t*d(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 148105 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z + 520. Suppose i - 17 = z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**3*n)**(2\/23)\/(n**(-2))**1 assuming n is positive.\nAnswer: n**(60\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 58*r = 5796. Let l = -14 - -16. Calculate the remainder when r is divided by (-1)\/(-1)*l + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -136*s - 2. Let d be t(-3). Suppose 349 = 5*a - d. List the prime factors of a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 18*t**2 + 22*t + 13. Let k be g(-19). Let s = k - -48. Calculate the remainder when 6\/(-24) - 58\/(-8) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5405 = -673*k + 696*k. Let c(m) = 44*m - 3. Let j(z) = -3431*z + 235. Determine k*c(b) - 3*j(b).\nAnswer: -47*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -440.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/11))**(-50)*((a**(-29)*a)\/a)\/a**9 assuming a is positive.\nAnswer: a**(-468\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 615*b**2 - 11*b - 62. Let n be l(18). What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2, o: 1}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 4*o + 3. Suppose 0 = -4*i + 5*i - 3*m - 17, -4*i = -5*m - 33. Let y be i\/(-5) - (-62)\/5. Suppose 2*a = -y + 4. Give s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:16 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/(1\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 802 - -1126. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 676*d - 61312. Give g(-81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 116. Let y = -12 - d. Let p = y - -97. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/2*z**2 + 0*z**4 + 5\/6*z**6 + 0*z + 0*z**3 + 0*z**5 + 1. Find the second derivative of l(r) wrt r.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(117)*-2)\/sqrt(9).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.43823ml in litres?\nAnswer: 0.01943823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 19, -2 in decreasing order.\nAnswer: 19, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -26.9. Let u = z - 0.9. Suppose 0*r = 5*r. Which is the nearest to r? (a) u (b) 2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 - 4059*u**3 - 65625*u**2 - 119061*u - 57498 = 0.\nAnswer: -14, -1, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 + g. Let h be x(1). Let l = h + 7. Let a(b) = 7*b + 4. Let f(k) = -4*k - 2. Let t(v) = -6*a(v) - 11*f(v). What is t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/676*(-1)\/3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5762805131\/53450040 + -1\/3563336. Let a = 332\/3 + v. What is the common denominator of -7\/568 and a?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.7 and -69250.56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21646983?\nAnswer: 21646983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjqcp. What is prob of picking 1 j and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.943585 days to seconds.\nAnswer: 81525.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 11*z**2 - 11*z - 18. Let k be s(12). Let o(n) = 2*n + 3*n - 6*n + 4. Let l be o(k). What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + s + 10 = 0, -3*s - 2*s = 20. Let a = y - 1. Let t(k) = k**2 - k - 3. List the prime factors of t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1476, -2.93 in descending order.\nAnswer: 1\/8, -2.93, -1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 2. Let t(o) = -10*o - 11. Give -22*c(k) - 4*t(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*sqrt(300)*-2)**2.\nAnswer: 43199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 102, 187, 284, 387?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h - 14485 + 512 = -68*h + h for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5741, -5731, -5721?\n\"Answer: 10*f - 5751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q + 24. Calculate v(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -212142, -848483, -1909052, -3393849?\n\"Answer: -212114*w**2 + w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 116, -4, -38.\nAnswer: -38, -4, 29, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u = -0*u. Suppose 6*n = 3*n + r - 2010003, 5*n + 2*r + 3349994 = u. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -2*r - 2 + 33\/2*r**2 - 4\/3*r**3. Differentiate t(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-211.01\nAnswer: 84.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - x**2 + 6 - 8*x**2.\nAnswer: -9*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 3*x**2 - 20*x - 12. Let m be k(-6). What are the prime factors of (m + -2 + 71)*(-8)\/(-24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, 4, -547 in descending order.\nAnswer: 5, 4, -1, -2, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(5))*6)**2.\nAnswer: 1296*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6946559 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s - 12. Suppose 3*y - 4*n + 8 = 2*y, -y - 5*n = -19. What is the lowest common multiple of 20 and c(y)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 6}. What is prob of sequence wew?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 + 4*j**3 - 1470*j**2 + 1157*j**2 to the form i*j + z*j**3 + f*j**2 + t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 17. What is the nearest to r in 6, 2\/15, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1660, 1661, 1662, 1663, 1664?\n\"Answer: p + 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 != 17.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*m + 2*m + 4, 5*q - 4 = -2*m. Suppose 3*z = -2*v + 8, -1 = -q*z - 2*v + 5. Solve 4*l - 5*o = z, -l + 2 = -6*l + 4*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -4 + ((-4)\/(-4) - -33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from {d: 11, v: 1, m: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Suppose 9*s - 11*s + 8 = 0. Suppose -9*i = -s*i. Let z be x(i). Sort -5, 2\/11, z in ascending order.\nAnswer: -5, z, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 382590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -175424005 to the nearest ten thousand.\nAnswer: -175420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1\/3 (c) 3 (d) -3.02 (e) -5 (f) 2\/29 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9759472 and -19\/609967.\nAnswer: 9759472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -2\/3 (c) 2 (d) 6\/5 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fc + -2?\nAnswer: -fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1998378 divided by 666126.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 6 = 3*g, -c - 5*g + 235 = 0. Calculate the common denominator of -27\/7 and c\/84*(-21)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -p + 56, v - 4*p = -8*p + 50. Let w(y) = y**2 + 9*y + 11. Let r be w(-8). Suppose r*x - v = -10. Solve -5*s + s + x = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 5*o**3\/12 + 589*o**2 + 471*o + 2942. Find q such that s(q) = 0.\nAnswer: -942, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408 times -1\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f**2 - 2*f - 9. Suppose 22*r - 21*r + 11 = 0. Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0809237 rounded to two dps?\nAnswer: -3.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 438809 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsirzrrbzbrsibzbbzar. Give prob of picking 2 r.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**2 + 43*r - 494 wrt r.\nAnswer: -10*r + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 16*a**2 - 44*a + 38. What is f(12)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r + 301 + 403. Solve -2*n = 5*j - 25, 4*j - n + 5*n - r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6202 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 4 (c) 0.13 (d) 35 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125.8169 + 0.3431. Round g to 0 decimal places.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*u + 168*u = -255 + 1095. Suppose t + 0*t - 5 = 0. Suppose -3*a + 14 = -t*w, -3 = -5*a - 4*w + 8. Calculate the highest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.1509 nanograms in milligrams?\nAnswer: 0.0009811509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from dlvsyclcs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 2 - 1\/3*o**3 - 1\/6*o**4 + 0*o**2 - o. Let k(g) be the first derivative of n(g). Factor k(m).\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 790.65228 to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 0\/(-1) + -2. What is the second derivative of -j*v**3 + 5*v**2 + 4*v - 5*v**2 + v**3 wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64407, -71778, -79151, -86526, -93903, -101282?\n\"Answer: -x**2 - 7368*x - 57038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((-5)\/75)\/(202\/1010)*(-5544)\/(-142).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 391?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -2086, -7061, -16750, -32725, -56558, -89821?\nAnswer: -134086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 60197124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(((-21)\/(-6))\/7))\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 36542 = z, -2*f + 3*f = 2*z + 12179. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4141*j**2 + 4149*j**2 + 4145*j**2 + 4141*j**2 - 16574*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 12*o - 34. Calculate m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/6)\/(155\/186). Suppose -5 = -q - 2*v, -3*q = l*v + 3 + 2. Put 5, 0, 4, q in decreasing order.\nAnswer: 5, 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 133, 0.692, -1\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - 3.4. Which is the smallest value? (a) 0.5 (b) 1\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -708921 not equal to -7089201\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, -1.83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002631065 to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-4\/7))*d*d)**34*(d**(-2))**(12\/13) assuming d is positive.\nAnswer: d**(4252\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/81 and 49\/30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, 146, 4, -5, -2 in decreasing order.\nAnswer: 146, 4, -2, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 495\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*i - 23 = -2*a, 0 = 2*a + 4*i + 28. Is 705 - (a\/(-10))\/(2\/20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2703 plus -33?\nAnswer: -22.7297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/6 - -5) + 206\/(-3). What is the nearest to j in -2\/11, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 85 = 3*y + 49, -y - 14 = 3*a. Suppose 2\/7*v**5 + 0*v + 0 + 4\/21*v**y - 2\/3*v**3 + 4\/21*v**2 = 0. Calculate v.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22115701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 - 2*a + 14. Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zzjzrjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13)*-2*-3*-6 + (-4*1*sqrt(637))**2 + sqrt(637) + -4.\nAnswer: 115*sqrt(13) + 10188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 102*r - 148*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185043 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/4)\/((-7)\/(-168)). Let n(i) = 19*i**2 - 1. Let y be n(1). Let w = f - y. Solve -4*z = -3*k + 7, w = -z - 3*z - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 36*g + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/2705 in -2, 25, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297889053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*s**2 + 216*s - 28*s**4 - 4*s**5 - 47*s**3 + 18*s**3 - 7*s**3.\nAnswer: -4*s*(s - 2)*(s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001891 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 739815 - -0.874?\nAnswer: 739815.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*c + 4*n, 2*c + 3 = -3*n + 10. What is the smallest common multiple of 2 + 14 + (1 - c) and (0 - -6)*(-40)\/(-12)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 2*v**2 + 2*v**2 + (-v + 0*v + 0*v)*(-3 - 2*v + 3) - 2*v**2 + v**2 + 0*v**2 + 33506 - 670*v**2 - 33506 to d + u*v + c*v**2 and give c.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 181421?\nAnswer: -181414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let v(f) be the first derivative of 5*f**6\/72 + 59*f**3 + 85. Let r(u) be the third derivative of v(u). Give o(r(p)).\nAnswer: -1250*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1916056, 1916060, 1916060, 1916056?\nAnswer: 1916048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eijeejiiieieee. Give prob of sequence jiij.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -i + 17, -2143*t = -2146*t + i - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 19*d**2 + 15*d + 19. List the prime factors of c(-20).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1405?\nAnswer: 1405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0 + 696)\/9. Let l = s - 77. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or -31848\/671?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10235*m - 3435*m + 12584*m - 3477*m + 2481*m.\nAnswer: 18388*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.79 and 0.552.\nAnswer: 16.44408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 17\/4. Let r = 2\/107 - 119\/642. Which is the third biggest value? (a) s (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**3 - 19*p**5 + 4*p**2 + 0*p**2 + 5*p**4 + 20*p**5.\nAnswer: p**2*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251034252 (base 6) to base 13\nAnswer: cc5708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394781?\nAnswer: 31, 67, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1929 + c - 2781 + 2234 - 2957 to the form s + z*c and give s.\nAnswer: -5433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0512753 to 5 decimal places.\nAnswer: -0.05128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 9*m - 6*m + 2*m)*(121 + 255 + 213).\nAnswer: -12958*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 89, 147, 259, 443?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 14*f - 1. Let u(b) = -b**2 - b + 1. Let v(p) = -5*u(p) + x(p). Let j be v(10). What is the third smallest value in -1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**13)*u*u)**(-14\/5)*(u**(1\/2))**(13\/6) assuming u is positive.\nAnswer: u**(-2623\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01988659678 and -26.\nAnswer: -26.01988659678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by (63\/84)\/(2550\/848 - 3).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163626 = 992*w - 48554 for w.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**5 + 15*w**4\/2 + 64*w**3\/3 - 2*w**2 - 287. What is the third derivative of m(t) wrt t?\nAnswer: -120*t + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 3*a. Let s be d(3). Suppose -3*q + 0*q = s. Find the first derivative of q*j + 2 - 3*j + 0 + 1 wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 + 4551016*t**2\/3 + 1294484164516*t\/3.\nAnswer: 4*t*(t + 568877)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/13 (b) -4111 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37749?\nAnswer: 3, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/11)*b)**(-15) assuming b is positive.\nAnswer: b**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2407 (base 11) to base 4.\nAnswer: 301101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58086 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/31 + 8 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140838, 140924, 141068, 141270, 141530?\nAnswer: 141848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -4\/3, 4\/7, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 + 17*d + 26. Let c be u(-7). Let g = c + -391. Calculate the greatest common divisor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 85403, 170677, 255825, 340847?\n\"Answer: -63*u**2 + 85463*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/181 or 1?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let o(z) = -6*z + 7. Let u(l) = o(l) + 5*p(l). Let k = -21 - -14. Let r be (4\/6)\/(k\/(-63)). What is u(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let w(v) = -13*v**2 + 7*v + 3. Let y(d) = -d**2 + d. Let f(r) = -w(r) + 4*y(r). Is f(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 + -377. Suppose 4*q = -n*k + 96, -5*q - 45 = k - 149. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11421 + 228471\/20. Let u = -19\/20 + a. Factor 6\/5*h**2 + u - 1\/5*h**3 - 12\/5*h.\nAnswer: -(h - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735 by -4.\nAnswer: 735\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(891)*2*5)**2.\nAnswer: 2227500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -252*o**4 + 21*o**3 - 81*o + 4604567 wrt o.\nAnswer: -1008*o**3 + 63*o**2 - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -38 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29022 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 395? (a) 0.5 (b) -2\/11 (c) -4 (d) 3\/2 (e) 74\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35.953, -6, 2\/3, -0.07?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 + 2*v**2 - 5*v + 5. Let q(k) = -7*k**3 - 2*k**2 + 5*k - 6. Let r(i) = -4*h(i) - 3*q(i). What is the hundreds digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 z when three letters picked without replacement from {k: 1, o: 2, b: 1, z: 2, i: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let p(k) be the third derivative of k**5\/30 - k**4\/12 - 2*k**3\/3 - 11*k**2. Let s(v) = -2*n(v) + p(v). Factor s(r).\nAnswer: 2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(57)\/(sqrt(3) + sqrt(3)*5)) + sqrt(190)\/(-5*sqrt(10)))**2.\nAnswer: 6859\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/(-7350))\/((-2)\/(-2820))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(4*o**2 + 0*o**2 - 2*o**2) + (5*o**2 - o**2 - 6*o**2)*(-945*o + 600*o + 936*o).\nAnswer: -1180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-210)*9*(-8)\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 186*d - 2883.\nAnswer: -3*(d - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45409.\nAnswer: 7, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111230102 (base 5) in base 10?\nAnswer: 492527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.084937 + 0.085. Round y to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.943 - 0.299. Let z = l + -0.544. Which is the closest to z? (a) 2\/19 (b) -27 (c) 2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49977)\/(-4936))\/((-54)\/24)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k - 12*k - 7 - 1. Let q be a(-5). Suppose q*g - 623 = 711. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 200 + 288. What is the remainder when 61 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 3 - 3)*(0 - 1 - 1 + 9*r) + r**3 + 2*r**3 - r**3 to the form i*r + d + x*r**3 + h*r**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*n - 108*k + 103*k, -5*k - 40 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170) + sqrt(170))*1*-1)\/(-6*sqrt(40)\/sqrt(4) + sqrt(10) + sqrt(120)\/(sqrt(12)*-1)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130102 = 4*x + 2*a, 15*a - 16*a = -3*x + 97574. Suppose 29*m + 1176 - x = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 201. Let r = -832 - -883. What is the remainder when v is divided by r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (57757\/(-1406) + 41)*-2?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6294.9998244 - -6295. Round k to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4637374160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17752 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -24. Suppose -v = -5*j - 3. Solve 3*x = n - 12, j*n - 8 = -x + 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**20\/(m\/m**2)*(m**(-10))**(2\/13) assuming m is positive.\nAnswer: m**(253\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -196.975367.\nAnswer: 590.926101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -61 (b) -0.3 (c) -3\/7 (d) -2 (e) -2\/7 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213081716 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: Solve 0 = -91*j + 14*j + 1078 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1 + 1 - 3*sqrt(17)*3 - ((-1 + sqrt(2448))*2 + sqrt(2448) + sqrt(2448) + 0 + 5)**2.\nAnswer: -39177 - 296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3\/4 + 8781*z**2 + 17553*z - 70236 = 0.\nAnswer: -11706, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 1, q: 3, b: 5, c: 1, s: 1}. Give prob of sequence gc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17667828?\nAnswer: 2, 3, 17, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-14))**(-23)*(o*o**25)\/(o**8*o) assuming o is positive.\nAnswer: o**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-96)\/20 + 1\/(-5). Let v be 10\/g*(-2 - 6\/(-4)). Which is bigger: 0.03 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 4*sqrt(343) + sqrt(7) + -4 + -2).\nAnswer: -87*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21766788\/42 - 2\/(-14). Let n = -324591 + f. Suppose 3*g + n = -3*s - 34337, 5*s = 2*g - 379998. What is s rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 5*a - 120. Let t be h(15). What is the greatest common divisor of 390 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 61 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 230 = 5*s, -6*y = -4*s - 2*y + 172. Let o(n) = 6*n. Let l be o(2). Calculate the greatest common divisor of l and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.4, -1\/51, -2?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 7*z + 5*z. Let g(x) = 3*x + x + 0*x. Give n(g(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9*(-3)\/(-4). Let o be (-3)\/2 - 11\/((-726)\/143). Suppose -4*q + k - 4*k = -11, k = q - 1. Which is the closest to -0.2? (a) q (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -114.109. Round r to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose 3*d - 25 = -2*d. What is the derivative of -3 + x*y**2 + 1 + d wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8666466 or -26?\nAnswer: 8666466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 147*u**2 + 3559*u + 257900. Calculate n(-74).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7513.\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -39. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from {z: 6, u: 4, d: 2}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/11)*b*b*b**(-2))\/((b*b**(-2\/5)\/b*b*b)\/b**0)*((b*b*b*b**0)\/(b*b**(-4)*b*b))\/(b*b*b**(5\/2)*b*b*b*b*(b*b\/b**1)\/b) assuming b is positive.\nAnswer: b**(-431\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513 times 8855?\nAnswer: 66527615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 410589121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 26*k + 553 = 0. Calculate the remainder when k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084 + 331 = -3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -16. Let a = -3.6 - 0.4. Let n = -0.1 + -0.3. Sort a, n, t in descending order.\nAnswer: n, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0 - 4205\/24*d**4 + 0*d**3 + 135*d**2 + 0*d - 1\/24*d**6 - 29\/6*d**5. What is m in a(m) = 0?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 + -168. List the prime factors of v.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*l - 901*l - 470*l = 201*l - 75697 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-1)*(-350)\/1000. Which is the nearest to 1\/2? (a) 1 (b) -2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634452 is divided by 1797?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 0.6 (b) -30 (c) 0.4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2)**(-46) assuming b is positive.\nAnswer: b**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 281*x - 1650.\nAnswer: -(x + 6)*(x + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 79*c + 82*c + 45, 2*c = -4*y - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.6 - 5.9. Let t = -0.3 - u. Let f = t + 7. Which is the closest to -0.1? (a) -3\/5 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose -3*h + 4 = 2*z + q, -h - 5 = -5*z. Suppose 4*d - 19034 - 46166 = h. What is d rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1027 + -581. What are the prime factors of x?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*n = 125917 + 70703. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 14*v + 32, -4*p - 7*v - 8 + 30 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557113, -1114226, -1671339?\nAnswer: -2228452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.84 - 4. Let l = m + 0.16. Suppose -4 = -4*h + 4*c, 4 = 3*h - 5*h - c. Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1108703, 1108702, 1108701?\n\"Answer: -z + 1108704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + m**2 - m + 4. Let j be u(0). Suppose -2*n - j = -6*n. Let q be -4*(-16)\/80*(-10)\/(-14). Is n != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.775705 nanograms?\nAnswer: 0.000005775705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2 (c) -1712.01 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 811*d**7\/70 - 94*d**3 - 914*d**2. Differentiate g(l) with respect to l.\nAnswer: 9732*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-35)\/(-11900)*10888?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -2*l**3\/9 + 14*l**2\/3 + 34*l - 375. Factor i(f).\nAnswer: -2*(f - 17)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 + 7*n - 2. Let l be r(6). Put l, -2, -8 in decreasing order.\nAnswer: l, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from zezcczz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25416 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 13601840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 39 = -123. Let o be (9 - s\/(-3)) + (3 - 4). Solve -5*b - 2*x = 27, -2*b = -o*x + 3*x + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:44 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 439.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/9*k**2 + 22\/9 + 10\/3*k = 0. Calculate k.\nAnswer: -11\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -926*k*s**2 + k*s + 8*k + 22*s wrt s.\nAnswer: -1852*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/30 + 16 - 6\/15*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5\/2, 0.06, 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*d = 14, -4*v + d + 9 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 537561018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 2, f: 1, m: 2, z: 1, d: 5, t: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/8 - n**5\/30 + n**4\/24 + n**3\/2 - 90*n**2. Let j be d(-1). Calculate the highest common divisor of j and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c = 2*i + 7, 2*i - 4*c + 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 241, 376, 637, 1066, 1705, 2596, 3781?\nAnswer: 5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29752311037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -993 + 908. Which is greater: h or -88?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1741, -13908, -46933, -111244, -217269, -375436?\n\"Answer: -1738*u**3 - u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*z + 53, -6*z + 103 = -2*f - z. Let p(i) = 10*i + 16. Let c be p(6). Let w = f + c. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*g - 32, k = -4*k + g + 29. Let n be k\/2 - (-15)\/10. Suppose 40 = v + n*v. Solve -12 = 4*d - 4*y, 2*d - 4*y + v = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 18*c**2. Let m(f) = 55*f**2. Give m(s(b)).\nAnswer: 17820*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-39)\/18*10. Let y be 6\/(-10) - (-29)\/t. Is 1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 491442396*k**3 + 250124611*k**2 + k wrt k?\nAnswer: 2948654376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7 + -1))\/((-21)\/(-56))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/4)\/((-1)\/(-34)). Round t to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-1)\/(-6)*3. Let r = 10 + -13. Is r smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.79 - 64. Let h = -122.79 + 127. Let w = i + h. Sort 1, 0.05, w in decreasing order.\nAnswer: w, 1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -73*x + 82*x. Let f(y) = -y**3 + 4*y**2 + 6*y + 4. Let m be f(-4). Suppose 17*v - x*v - m = 0. Calculate the lowest common multiple of v and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, -0.1, -3\/4, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.75 * 6.973.\nAnswer: -772.25975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 17.2. Let w be 6*(-3)\/((-6)\/(-1)). What is the fourth smallest value in o, 1, w, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12008351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*t - 11 = 3, -2*t = 0. What is the remainder when 41 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1805 (b) -0.03 (c) -5 (d) 2 (e) -0.3 (f) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 697, -0.2 in decreasing order.\nAnswer: 697, 4\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 246\/(-8)*48\/(-18). Let c be 5\/(-2)*(-32)\/40. Suppose c*f = -0*f + p. Calculate the least common multiple of 2 and f.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -902 + 901.5. Let m = 1.02 + -0.99. Which is the biggest value? (a) m (b) i (c) 4\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 11) to base 8.\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/71170 and 53\/16?\nAnswer: 569360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 13649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 21. Give h(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 177927 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49 + 39*t**2 - 6*t - 5 - t**2 + 7*t wrt t.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/32 - (-111)\/36)\/(14\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 3*l + 6. Let q be o(-5). List the prime factors of (q\/6)\/(2\/9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (-287)\/15. Let b = d + -135\/7. Put 5, b, 2 in decreasing order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 15*b - 53 = 5. Solve -3*z + 6*z + 2*g - 18 = 0, 0 = -b*g + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 3. Let p = 17 - -106. Let h = p - 103. Let x(z) = -48*z + 20. What is h*g(r) - 3*x(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37295.94l to millilitres.\nAnswer: 37295940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**2 - 117*k - 39. Calculate the lowest common multiple of 8 and o(-9).\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6172314519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/5)\/(6\/80). Suppose -52 + 20 = -5*d - 4*h, z = 3*d + 4*h. Solve -p - 3*p + d = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 828800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.36, -90, 5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5732.416 meters to centimeters.\nAnswer: 573241.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/6 (b) 69 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 0.05. Let y = 0.26 + d. Which is the closest to -2? (a) y (b) 0.5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 + 5*s**2 + 346*s + 1455. Determine a(-4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = b + 4*b. Let w = b - -11. Let i be w\/(((-3)\/(-1))\/(-3)). Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a5561 + -1?\nAnswer: -14a5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r + 3. Suppose 7*f + 42 = 12 + 2. Let x(h) = -7*h - 4. Calculate f*s(l) - 3*x(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbp when three letters picked without replacement from arprrarrbqjprprarq.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/5 + 143*b**2\/5 - 1849*b\/5 + 341 = 0.\nAnswer: -155, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/2 - 1553*y**2\/2 + 6188*y - 12360 = 0.\nAnswer: 4, 1545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -223 + -656106?\nAnswer: -656331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + 2*t - 2. Let y(w) = 3*w**3 + 7*w**2 - 7*w + 7. Let z be (-96)\/(-15) - 4\/10. What is z*y(s) + 21*l(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5271 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10242200?\nAnswer: 2, 5, 83, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -14877 bigger than -14876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z - 7. Let h be j(8). Let g = 26 - h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 3, o: 4, m: 4}. What is prob of picking 1 j and 1 i?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + m)*(0 + 3 + 4).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 229802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - 0) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 348\/(-30) + 6\/10. Let x be (-4)\/4 - (1 + d). What is x rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*2*(-35)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 4*s**3 + 10*s**3)*(-5*s**2 - s**2 - s**2).\nAnswer: -70*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -591?\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -67, -167, -307?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 275. Solve 0 = w + 182 - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 63*h**2 - 471*h + 40. Calculate b(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3411 (base 5) to base 8\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -2*t**3 - 2*t**2 - 61\/60*t**5 + 0*t - 12 + 0*t**4. Differentiate a(r) with respect to r.\nAnswer: -122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 40, -1579, 0.15?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31165890 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 16\/5*z + 7\/5*z**2 - 15 - 2\/15*z**3. Factor c(h).\nAnswer: -2*(h - 8)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2124.7 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/525 and 83\/3339525.\nAnswer: 3339525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 + 0.15. Let l = -0.82 + j. Is 2 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 891*f**5\/4 - 628149*f**4\/4 - 7759161*f**3\/2 - 13648617*f**2 - 13082514*f - 87480 = 0.\nAnswer: -20, -2, -2\/297, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -5, -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a**(-2\/23)*a)\/a))\/a**(1\/2))**(-15)\/(a**(-50)\/((a**(-3)*a)\/a**3)) assuming a is positive.\nAnswer: a**(975\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 1 - (2096 - 2089).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7 - 1 + 13 + 2*d - 5. Let s(p) = 11*p. Determine s(z(x)).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 - -211. What is the third biggest value in 2\/21, v, -0.3, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 0, -3*q + 3*b - 12 = 3. Let v be 18\/(-8) - 10\/(-240)*6. Let y(j) = 2*j**3 + 5. Let t(p) = -p**3 - 2. Give q*t(i) + v*y(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6686872*b**3 + 5766368 wrt b.\nAnswer: 20060616*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let w(m) be the first derivative of 2*m**2 - m + 8. Give -3*d(v) + 2*w(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -117 - (-65 - (102 - 125))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -16409255?\nAnswer: 16409234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -1 (b) -0.5 (c) -5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.78 and -3.2.\nAnswer: -2.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48904571?\nAnswer: 181, 270191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**2 + 7*o**2 + 6*o**2 + 5*o**2. Let z(m) = -12*m. Give z(d(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by (-3 + -3)\/((-161)\/(-207))*-14.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r - 4. Suppose 3*z - 6*m = -3*m, 0 = -3*z + m - 4. Let d be y(z). What is the third derivative of -9*w**4 - 3*w**2 - 3*w**d - 3*w**4 wrt w?\nAnswer: -360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255500 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22715, 22699, 22683, 22667, 22651, 22635?\n\"Answer: -16*r + 22731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125431, 125411, 125389, 125365, 125339, 125311?\n\"Answer: -s**2 - 17*s + 125449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 8*k. Let u(t) = 3*t**3 - 11*t**2 + 16*t. Give -6*u(x) + 11*y(x).\nAnswer: -7*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**7\/735 - 127*a**6\/420 + 481*a**5\/210 + 449*a**4\/28 + 246*a**3\/7 - 95*a**2 + 2*a + 7. Determine x so that u(x) = 0.\nAnswer: -1, 6, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -15 - -9)*-4*28\/32\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/18 + 256411\/29421. Let d = 4\/4203 - b. Calculate the common denominator of (-1)\/2 + (-246)\/(-40) and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1756495\/7 + -250195. Let t = -205613\/280 + u. Find the common denominator of -4\/5 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 116*d**2 - 149*d - 3741. What is s(-117)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*d - 10 = -2, -5*l + 13 = -3*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i - 2*i - i)*(0 + 5 + 2) - 16*i - i - 6*i to the form z*i + l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28650 divided by -15?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 10040*u**4 - 10650*u**3 - 100836549*u**2 wrt u.\nAnswer: 120*u**2 - 240960*u - 63900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335652*x**2 + 1006950*x**2 - 335652*x**2 - 335653*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7242 = 2*a + f, 2*a + f = 14487. Determine m so that 7241*m**3 - 8*m**2 + 2*m**4 + 2*m - a*m**3 + 2*m + 6 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 2. Let m be ((-5)\/2)\/((-2)\/(-4)). Let n be g(m). Is (19\/2)\/(n\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - z**2 + 0 + (4 + 2 - 5)*(4*z**2 - 10*z**2 + 3*z**2) + 39*z**2 - 9*z**2 + 0*z**2)*(2 - 6 + 3)*(0 + 1 - 2).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*h = 19113, -2*l = h - 2*h + 19101. Let s = 9833 + -25885. Let k = s - l. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6544896 (base 10) to base 11\nAnswer: 3770306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16678, 33355, 50030, 66703, 83374, 100043?\n\"Answer: -u**2 + 16680*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(19) - sqrt(76)\/(sqrt(4)*-5)) + 4 + 1*(0 + sqrt(475))**2.\nAnswer: 6*sqrt(19)\/5 + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1352201*l**3*n - 15*l**3 - l**2*n - 7*l**2 - 23*l*n + 682 wrt l?\nAnswer: -8113206*n - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 120*t - 6. Let l(d) = 121*d - 5. Give 3*l(g) - 2*r(g).\nAnswer: 123*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9168474 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*-6*(3 + sqrt(99)) + -2)**2.\nAnswer: 396*sqrt(11) + 3685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-2)\/8). Let n(j) = 6 - p + 3*j. Let f(z) = -2*z**2 - 3*z - 3. Let d(k) = 3*k**2 + 5*k + 5. Let h(v) = 3*d(v) + 5*f(v). What is n(h(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 16*t**2 + 29*t - 15. Calculate o(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2\/5))*z**3)**(13\/4)*(z*z*z\/(z**(2\/5)*z)*z*z*z*z**(-5))\/(z**(2\/3))**(-47) assuming z is positive.\nAnswer: z**(2363\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.029 - 5.371. Let j = r + 0.4. Suppose -2*p = -5*b - 0*p + 32, 0 = 5*b + 4*p - 56. What is the biggest value in j, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 112 = -5*c, -5*c - 200 = -8*h + 3*h. Suppose h = -2*s + 1030. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:45 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p**2 + 25*p**2 + 3*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 + 166*f**4 - 492*f**3 + 490*f**2 - 163*f = 0.\nAnswer: 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 + 175*r + 192. Determine k(-34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*g - 24 - 60 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8580019 is divided by 168?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 + -284. Suppose 3*n = -s*p - p + 23, 4*p - 5*n = -17. Solve 6 = -p*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b - 21918689 = -21913760 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkjk when four letters picked without replacement from kjjjkkkjkkkkkj?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + 7 + -12 - (-38 + 111).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10091.2176 to the nearest 10.\nAnswer: -10090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22160517 (base 8) to base 14.\nAnswer: -8c48a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191696*q**6 + 2*q**4 + 3*q**2 + 19991*q + 2 wrt q.\nAnswer: -23003520*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*k - 77*k + 30*k + 3 + 29*k to d*k + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 - (-3 - 105\/(-5)). Solve 0 = 2*w - g*w - k + 7, 19 = 5*w + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 1435*k**4\/12 + 1871*k**3\/3 + 4031*k**2. Differentiate t(v) wrt v.\nAnswer: 2870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 22. Suppose -k + 7 = -3*s. Suppose s*g = 5237 - 1401. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = -7*g + 70*g + 47*g - 6440 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 143 = -46. Let u = -12 + j. Calculate the highest common divisor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201748 or -201747?\nAnswer: -201748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 11. Let o = 738 + -734. Let q(t) = -3*t - 6. Let x = -26 + 9. Let h = -10 - x. Determine h*q(j) + o*u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14*(-4)\/3)\/(5798\/40586)*17?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9430.249ml?\nAnswer: 9.430249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57990 and 550.\nAnswer: 3189450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9050*n**2 + 17712*n + 4. Calculate u(2).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179392363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3cc97 (base 13) to base 16\nAnswer: -1be17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -1, 31.1, -0.055 in descending order.\nAnswer: 31.1, 0.02, -0.055, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-11)\/110)\/((-9)\/(-6)). Let k be 22\/(-18) - (-4)\/18. Is k != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3067735 = 307*h - 4499508. List the prime factors of h.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let k(l) = -2*l. Let t(q) = -3*d(q) - k(q). Let w be (4 - 6 - 71)*1. Let a = 71 + w. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/(-90) - (-10)\/(-45). Let p = 1.5 - -1.5. Let c(i) = i**3 - 8*i**2 + 7*i + 5. Let m be c(7). Sort l, m, p in descending order.\nAnswer: m, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 126 = -5*q. Let l(a) = a**2 + 11*a - 22. Let j be l(-9). Is q != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11919*s**4 + 757*s**3 + 5*s**2 + 2*s - 38144534 wrt s?\nAnswer: 143028*s**2 + 4542*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3\/4 + 2123927*g**2\/4 + 318590*g - 212393 = 0?\nAnswer: -1, 2\/5, 424786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2520543425 - -4?\nAnswer: -2520543421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381411 is divided by 1393?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 10 + 7 - 17.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -59. Let v = 65 - u. Suppose 25*n = v*n - 2722. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016353 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*s**2 + 4395*s - 1254.\nAnswer: -3*(s - 209)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32190000 rounded to the nearest 100000?\nAnswer: -32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 162?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 - 64 - 31*x)*(-5*x + 4*x + 5*x) - 27*x + 11*x - 8*x**2 + 19*x to z*x + s*x**2 + o and give s.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1563*u**2 + 0*u + 0*u + 1567*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14\/(((a\/(a*(a\/(a*a**(-4\/13))*a)\/a))\/a)\/a))\/((a*a**(-3\/2)*a*a)\/(a\/(a\/a**(-4\/11))*a)) assuming a is positive.\nAnswer: a**(4417\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1242\/11*b**2 + 8\/11*b - 1656\/11 + 2\/11*b**4 - 420\/11*b**3 = 0?\nAnswer: -1, 2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + w + 2*w + (0 - 2 + 4)*((2*w + w - 2*w)*(2 + 3 - 7) + 1 - 1 + w + 4*w + 5*w - w + 0*w + 3*w + 3*w - 5*w - 4*w + w) as b*w + j and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 6*n - 5. Let j be c(9). Suppose h + 4*y = 72, -2*y = 3*h - j - 86. What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-40) + 5\/20 - -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24814?\nAnswer: 2, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 198720 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339393?\nAnswer: 3, 113131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 9*f**2 + 3. Let m be k(8). Let b = 605\/9 - m. Factor 0 + b*x**4 + 2\/9*x**2 + 4\/9*x**3 + 0*x.\nAnswer: 2*x**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-124)\/(-31)*6\/(-8). Let m(s) = -s**3 + s**2. Let j(k) = 4*k**3 + 4*k**2 + 8*k - 4. Let n(r) = v*m(r) - j(r). Calculate n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**5 + 2*m**5 + 6*m - 3*m**5 - 3*m**5 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbbzzb. What is prob of picking 1 z and 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277.123 - 277. Let z = -2143.953 + 2143. Let v = w + z. What is v rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702186 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17939 = 5*n, 2*c - c - 17932 = -6*n. Does 36 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 5, f: 1, h: 2, l: 2}. What is prob of picking 1 a and 2 l?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8191 (base 12) to base 14\nAnswer: 51b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-92)\/(-15)*(-3)\/10 and 70\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3 - 1 + 3*r**2 - 4 + r**2. Let s(q) = -q**2. Determine m(s(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + d. Suppose 2*j - 4*y - 94 = 0, -j + 0*j + 59 = 4*y. Let k be 68\/j + 1\/6. What is the third biggest value in 5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -573\nAnswer: 1\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 21\/(-9))\/(14\/(-72)). Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -524163\/416 - -1260. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*8\/3. Let h = 610 - 555. Suppose 44*y - h = 33. Solve -y*v + 3*m + 5 = 2*v, 4*m + 8 = a*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 1, -7.83, 2, -5?\nAnswer: -7.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299 (base 13) to base 8.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319957 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15880269 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.124949\nAnswer: -0.124949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 - j + 35. Calculate the remainder when 81 is divided by f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*g**4\/11 - 10*g**3\/11 - 24*g**2\/11.\nAnswer: 2*g**2*(g + 1)*(7*g - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -88465217?\nAnswer: -88465217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:18 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o - 6 = 0. Let n = -7 - o. Let x = n + 6. Solve x*u - 3*u - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g - 2*g + 4*g)*(-2*g + 0*g + g) - 94*g**2 + 729*g**2 + 57*g**2 in the form d*g + w + p*g**2 and give p.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y**3 - 4*y**2 - 5*y + 6. Let t(z) = 3*z**3 - z - 1. Give b(i) + 6*t(i).\nAnswer: -6*i**3 - 4*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-7) - 8)\/(4\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + (0 + 3 - (-47 - -59)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/4 (b) 1 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 4*i + 2*i)*(-5 + 1 - 4)*(-2020 - 5799 - 695 + 318)*(-3 + 5 - 1) to the form p + b*i and give b.\nAnswer: -65568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(2\/7)*q))**(3\/7)\/((q\/(q**(-1\/7)\/q))\/(q\/q**(-5)*q))*(q**1)**(-43)*q\/q**(-1\/4)*q*q\/(q\/(q*q*q**(-1\/2)))*q assuming q is positive.\nAnswer: q**(-6485\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, 101, 298, 575?\n\"Answer: 40*o**2 - 3*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -135+685\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 9 + 3. Suppose -g*p + 6 = -p. Solve 4*t - p = -23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 2\/5 (c) 377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, 0, 3 in decreasing order.\nAnswer: 3, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 93.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 2*s - 14*s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/(-4059)*-66)\/8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1628583018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, 5, -1, 33 in ascending order.\nAnswer: -18, -4, -1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333 - 334. What is the units digit of (-39)\/z*(-324)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l - 1 + 2 - 1.\nAnswer: -76*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 16*u**2 - 25*u - 49. Let q be l(-17). Let d = q - 87. Solve -4*o - 22 = -p, 4*o - p + 5*p + 12 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/20 + n**4\/8 - 5*n**3\/6 - 10*n**2. Let k be -9 + (-7)\/(-14)*22. Let w(v) = 2*v**2 - v + 2. Determine k*g(i) + 5*w(i).\nAnswer: 4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/10)\/(((-2376)\/350)\/11) and -34\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97 times 175.07?\nAnswer: 169.8179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 356275 times -1.83\nAnswer: -651983.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + -1 + (-1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*n**2 - 3242*n**2 + 2096*n**2.\nAnswer: -1434*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -109. Which is the third biggest value? (a) -1\/2 (b) y (c) -16 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/17, -4\/5 in descending order.\nAnswer: 2\/17, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (29 - 30) + -12 - (81 + 0).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**3 + 3*n**2 - 3. Suppose 0 = -4*p + 12, 4*x + 3 = 2*x + 3*p. Let v(w) = 64955*w - 1 + w**x - 64955*w + w**2. Calculate -4*f(g) + 12*v(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 - 2*o + 11. Is 10 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36986974.9 to the nearest 100000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 4:19 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**2\/5 - 334*w\/5 - 272.\nAnswer: (w - 34)*(11*w + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3395040*n**2 + 373090*n**2 + 1242482*n**2 + 3594270*n**2.\nAnswer: 8604882*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 349\/3399 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.711340849 + -2.088658681. Let n = 13.24 - 1.44. Let t = n + x. Round t to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 4. Let x be z(-6). Let v = -12 + x. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -134*j - 19. Let p be i(-3). Let c = 486 - p. What are the prime factors of c?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 4, g: 1}. What is prob of sequence zzg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-56)*7)\/((-6)\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4988 + 59791\/12. Find the common denominator of -27\/116 and p.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750 times -91\nAnswer: -68250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 - 7*q**2 - 19*q + 11. Let n(g) = -2*g**3 + 2*g**2 + 5*g - 3. Determine 6*l(a) + 22*n(a).\nAnswer: -2*a**3 + 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (sqrt(637) - (4 + sqrt(637))*-6)))**2.\nAnswer: 39200*sqrt(13) + 509408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269505807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -113?\nAnswer: 13\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*o - 45, -4*i + 3*o = -13255 + 13279 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*b - 4*b. Let q = -1 + 3. Find the third derivative of 4*g**6 - 2*g**b - q*g**2 + g**2 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 45 + 37 = -28*k + 10*t, -4*k + 3*t + 61 - 12 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - 2*c**3 - 5*c**3)*(6*c**2 + 13*c**2 + 29*c**2).\nAnswer: -96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t = -29*t - 2. Suppose -268000 = j + l, -t*l = -0*j - 5*j - 1340000. Round j to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*u**3 - 2)*(-11*u - 85*u + 33*u).\nAnswer: -252*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boy when three letters picked without replacement from yopob?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1097 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbdkinidkik. What is prob of picking 1 n and 1 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 4. Let i = -23 - -14. Let y = -4 - i. Solve 16 = y*t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 8*a + 17 = 0, 0*a - 24 = -4*c + 2*a - a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -79.\nAnswer: -79, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(4\/(1*-8)). Suppose -2*j = j + c*q - 55, 2*j - 40 = -2*q. Suppose 3*s - s - 330 = 0. What is the greatest common factor of j and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*h + 9, -10*h - 47 = -5*m - 167. Which is the nearest to m? (a) 2\/5 (b) -4 (c) 2\/73 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15*l - 163. What is u(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717402 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 2*h**4 - h**4)*(5*h - 36*h + 15*h).\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 7 + -10 - 2) + -15 + 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774763 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8706 + 4836. Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 = -4*n. Suppose -q + n = -d + 2, -5*q + 2*d = 20. Let z(k) = -k**2 - 2*k - 4. Calculate z(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 5*q**2 - 4*q + 3. Let b be a(2). Suppose -b*p + 52 = 6*p. Let r be (1 + 2)*(-4)\/(-6). Solve 2*w + i = -11, r*i = -w - p*w - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {v: 3, f: 1, t: 6, c: 1, g: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10998103.2 hours?\nAnswer: 65464.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6830.809mg in micrograms?\nAnswer: 6830809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:04 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 855 = 2*o, -1749 = 7*o - 11*o + 3*b. List the prime factors of o.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 27*z**2 + 2*z - 19. Let i be c(27). Suppose i - 23 = 4*d. Factor -2\/13*b**d - 2\/13 - 6\/13*b - 6\/13*b**2.\nAnswer: -2*(b + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166115 rounded to four decimal places?\nAnswer: 0.1661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20032 + 76448. What is the ten thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2\/2 + 2*h + 8. Calculate x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + -4 - -119 - 60\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 148 + -64c?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c, 6*c - 3*c - 16 = -4*s. Suppose 0 = 5*a + 4*b - 927, -5*a + 392 = -s*b - 551. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -1\/5, -3\/7 in decreasing order.\nAnswer: -1\/5, -3\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((5 - 3) + -5). Let p = g + -7. Let h(l) = 2*l + 6. Give h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*j + 108 = -2*p, 0 = -2*p - 5*j + 54. Let g(z) = z**2 + 12*z - 3. Calculate the remainder when p is divided by g(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7249 times 4?\nAnswer: 22.8996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2309307 and 260?\nAnswer: 46186140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - -7159.\nAnswer: 7159.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 + -8 + -6 + 0 + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69965978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(-3 + 164\/56). Find the second derivative of -2*z**3 + 26*z**5 - 12*z + 2*z**3 - q*z**5 wrt z.\nAnswer: 380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 150. Let i be -2 - ((-55)\/s - 4). Suppose -i*m**3 - 5\/6*m + 1\/3 + 2\/3*m**2 = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 16*m + 280. Suppose 2*j + 2*r = 1574, 0 = m*j - 5*j + 3*r - 3925. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6432, 12876, 19308, 25722, 32112, 38472, 44796?\nAnswer: 51078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -487310391 + 59155151. Suppose 6*a - 11435524 = -l. Round a to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 2*m**2 - 4*m**2)*(6*m + 254*m**2 + 431*m**2 - 6*m) to the form h*m**3 + w*m + q + j*m**4 + s*m**2 and give j.\nAnswer: -2740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 13*b - 25. Let a be m(-15). Let l(y) = 36*y**2 + 1. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23428 and -5.\nAnswer: 1.1714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 833747, 3334907, 7503507, 13339547, 20843027?\n\"Answer: 833720*a**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 101. Calculate the remainder when a is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Suppose -5*w - 2*i = 0, 2*w + 4*i = -p*i. Factor -1\/4*j**3 + w + 0*j + 1\/4*j**4 + 0*j**2.\nAnswer: j**3*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -28, -2\/47, 6.5, 0.2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.0358, 1, 0.8, 33, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + 1.74. Let n = 0.9 - g. Which is the closest to n? (a) -2 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1638396+-0.077\nAnswer: 1638395.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 14*m - 6. Suppose 0 = -5*f + 4*h - 268, f + 6 = h - 48. Let p = 58 + f. Is y(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 2*u + 2*u)*(-7 + 20 + 6)*(5 - 4 + 2) to x + m*u and give m.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -69, -90, -127, -186, -273, -394, -555?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 14 = -2*u + 8. Suppose 1 = -3*x + 5*p, 0 = -4*x - 3*p + 62 - 15. What is the greatest common factor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -5.43, -1, -2\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from tsgtxwfwttstttsttx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24)\/(22\/(-16))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -191*l**5 + l**4 - l**3 + 35*l - 1. Let f(y) = -y**5 - y**4 + y**3 + 1. Let q(m) = -f(m) - w(m). Find the second derivative of q(s) wrt s.\nAnswer: 3840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9379 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 2*y + 5. Let r(c) = -c + 1. What is o(w) - 4*r(w)?\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y + 0*y**2 + 12*y + 2 + 2*y**2. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-6)*447\/(-1192)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 64. Let h(k) = 2*k**2 + 8*k - 35. What is the remainder when h(-10) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*d**2 - 15*d**2 + 30*d**2 + 2*d + 7 to the form f*d + b + i*d**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 4\/4)\/1. Suppose 9*c + 182 = 2*f + 10*c, 0 = -2*c - p. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 + 4*v + 7. Let t be p(5). Let g be 3 + -4 - t - -4. Calculate the greatest common factor of 78 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-22)*((-1863)\/(-36))\/(-69)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/(t**(-2\/7)*t*t))**(-50)*((t**(-3)\/t)\/t**(1\/10))\/((t**(3\/5)*t)\/(t**6*t*t)) assuming t is positive.\nAnswer: t**(11483\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021011 (base 3) in base 9?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33\/29, 4, -638?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 632*r**6 + 4*r**4 - 2124*r**3 - 49491632*r**2 wrt r?\nAnswer: 75840*r**3 + 96*r - 12744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -7. Suppose -b*o = -13*o + 3. Solve -v + 6 = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1265, -1289, -1323, -1367, -1421?\n\"Answer: -5*p**2 - 9*p - 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0\/2)\/(-5 + 3). Solve x = b - 2*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -5.6. Let z = w + -4.8. Let v = -1 - -5. What is the nearest to z in v, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37183 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b - 50. Let g(z) = 0*z**2 - 13 + 2 + z**2 + 7*z. Let p be g(b). Solve 5*q - p = -4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 = 5*t, -3 = -3*t + w + 2*w. Let q be (-1)\/t - (0 - 0). Is q less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:31 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7864973.798 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33023004.\nAnswer: 2, 3, 7, 131, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - -38. Suppose -229 = -4*u + s. Let a = 107 - u. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6657.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92896 by 155.\nAnswer: 92896\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/77 in -0.5, -1\/6, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20858 - -20791) + (17 - (-2 + 1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*q*s - 2*m*q*u**2 - 4*m*q*u - 56529*m*s*u**2 + s**2 + 6*u**2 + 14940 wrt s?\nAnswer: -2*m*q - 56529*m*u**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x. Let m(o) = 11*o. Determine -7*m(v) + 4*q(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + 282b?\nAnswer: 27c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 58 - 52)*(2 + 3 - 3)*(4*u + 5*u - 4*u) in the form s*u + d and give s.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4486 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f**2 + f**2 + 2*f**2 + 5*f - 4. Let j(c) = -8*c + 84. Let d be j(11). Determine h(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101 + l + 1101.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o + 2755 - 59806. What are the prime factors of o?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i + 4. Let b be r(3). Suppose -14*c + 8*c = -2*c. Suppose c = -n - 2*h + 23, 92 = b*n - 2*h - 0*h. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/7 - 1050\/(-2 - 1). What is t in 912*t**2 - 718*t**4 + 7122*t**5 + 1108*t**3 - d*t**4 - 6926*t**5 + 144*t = 0?\nAnswer: -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3060 greater than -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*w - 187*w + 600 = 0. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/89474 and 131\/40670.\nAnswer: 447370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2888 divided by -1.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2. Let t(n) = -6*n**2 + 2*n + 1. Let o(w) = 35*w**2 - 40*w - 20. Let h(a) = o(a) + 20*t(a). Calculate j(h(s)).\nAnswer: -28900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.259, -3\/4, 2\/27?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d**(-3\/7))**(-18)*(d**0)**(5\/16)*((d**(-1\/3)\/d)\/d*d)**(-5) assuming d is positive.\nAnswer: d**(-1912\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = -5. Sort 5, -6, v in ascending order.\nAnswer: -6, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 2*u + 7 - u**2 - 3*u + 3*u. What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*p - 1504 + 41 - 339 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*w - 2, 4*n - 3*w = -4 + 18. Solve 0 = k + n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132.69808 - -68.509131. Let t = -0.204549 - x. Let d = 64 - t. Round d to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -604 + 1023. List the prime factors of c.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11320176\/2759 - 4103. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174507 times -1.2\nAnswer: 209408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 + 90. Let o(k) = -k**3 - 7*k**2 + 7*k + 42. Let l be o(-7). What are the prime factors of (v\/l)\/((-6)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((9\/3)\/3). Put t, 3, 1, 6 in descending order.\nAnswer: 6, 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*n**3*w + 2*c*n**2*w + 2*c*n*w + 2*n**3*w - n + 3*w wrt n.\nAnswer: -6*c*n*w + 4*c*w + 12*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 160*r**3\/3 + 2858*r**2 + 156640*r\/3 + 148225\/3.\nAnswer: (r + 1)*(r + 49)*(r + 55)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*d + 9. Let r = -14 - -23. Let i = r + -9.4. Which is the biggest value? (a) i (b) 2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 6:48 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*70959.\nAnswer: 1206303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:36 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r - 26. What is x(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-54))\/((240\/30)\/48)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 683435861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ouuk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52 + -319.\nAnswer: -319.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5378 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, z: 4, c: 5, y: 6}. What is prob of sequence yycy?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3\/(-6))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100010000010011 + -11010011100?\nAnswer: 110011110101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p. Let d(j) be the first derivative of -j**3\/3 + 3. Calculate b(d(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36489 + 106278. Let c(d) = 0 - t*d + 10737*d + 2 - 18947*d. Let l be c(-2). What is l rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 342.42 + -339. Let v = 0.42 - s. Let w = v + -1. What is the third smallest value in w, -2\/3, -15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -16.1, 4021 in ascending order.\nAnswer: -16.1, 2\/17, 4021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/82 - -363\/410. Factor 2\/5*r**4 + l*r**2 + 0 + 0*r + 6\/5*r**3.\nAnswer: 2*r**2*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-175)\/2835)\/(10\/12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 8. Let i be n(-7). Is 11 a factor of 33\/(-12)*(i - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:42 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016331 and 340?\nAnswer: 345552540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2329676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-2 + -4*(((sqrt(637) - (sqrt(637) - (sqrt(637) + 0)))**2 - sqrt(637)) + 4 + sqrt(637)))*2).\nAnswer: -25680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + 4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065791972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85627 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**3*r\/r**23 assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:25 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**45\/(h**(-1\/5)*h**(-2\/5)))**14 assuming h is positive.\nAnswer: h**(-858\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564223818.\nAnswer: 2, 257, 3043237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3401 = -0*i - 3*i + 2*h, -3*h = 4*i - 4546. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10086*i**3*o**2 + i**3 + 544*i**2*o + 33745637*i*o**2 wrt i.\nAnswer: -60516*i*o**2 + 6*i + 1088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.6. Let i be (-4)\/52 + (-75)\/39. Sort i, -1\/5, f, 0 in descending order.\nAnswer: f, 0, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1468131\nAnswer: -1468130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 20 = -8*j. Let d be ((-4)\/(-16) - 1\/(-2))*j. Let g = -0.8 + 0.3. Which is the second biggest value? (a) d (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -2028*g**5\/5 + 21177*g**4\/4 + 4079*g**3 + 1116*g**2 + 132*g + 1798. Find r, given that h(r) = 0.\nAnswer: -1\/4, -2\/13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 - s**3 - 65*s**2 - 2 wrt s?\nAnswer: 48*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y + 3. Let d(t) = 1481*t**3 + 3911*t**2 + 5*t + 15. Let p(l) = -d(l) + 5*q(l). Find the third derivative of p(s) wrt s.\nAnswer: -8916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + -2*sqrt(297)*-2 - sqrt(297))\/(-2*sqrt(275)) + 5 + (sqrt(27) + sqrt(27) + 1)**2 + 3*sqrt(675).\nAnswer: 279*sqrt(3)\/5 + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*u = -131*u - 10. Let t be (0 - (-2)\/(-1))*-2. Suppose -u*j + 28399 = -n - 17605, -36816 = -4*j + t*n. Round j to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*v + 24 - 24)*(-3 - 2*v + 3) to x*v + l*v**2 + r and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -72176 divided by -208\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001098262 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 703287.7 nanometers?\nAnswer: 0.7032877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 24. Determine a(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 177173?\nAnswer: -177171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) + 1)*-1 + 0 + -2 + -2 + 5)**2 + -4.\nAnswer: 12*sqrt(17) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 3*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/1365 - y**6\/39 + 19*y**5\/390 - 1497*y**2. Let o(a) = 0. What is a?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25948.946 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0316 rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -1\/3 (c) -23.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4462 - -5.\nAnswer: 4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -48*((-18)\/(-27) + (-5)\/3). What are the prime factors of (u\/(-9))\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/64 - -91\/320. Suppose 4*j + 8 = 0, 2*c = 4*c - 3*j - 68. Let n = c - 31. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - 161622*h + 160363*h + (4 - 2 + 0)*(h + 4*h - 4*h) to the form k*h + v and give k.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 24\/(-18). Suppose -24 = -d*t + 2*q, -5*t + 5*q - 2*q + 52 = 0. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-145 - -119) + 67 + 2\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.291 - -150.709. Let w = u - 150.69. Let x = 0.09 + w. Sort 1\/3, -2\/17, x in increasing order.\nAnswer: -2\/17, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23082783 to the nearest integer?\nAnswer: 4804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/21360 and -73\/7743?\nAnswer: 619440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/6*(-2)\/3. Let r be (-15 + 12)*(-1074)\/(-9). Let k = r + 362. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + n**4\/8 + 3*n**2\/2 - n. Let b(o) be the first derivative of f(o). What is the second derivative of b(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-20)\/(-100))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1551005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 429714223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 64 = -2*j, k - j + 3 = -7. What is the remainder when (-24)\/k*6*(-78)\/(-8) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/198 + 2\/24. Which is the second smallest value? (a) -2 (b) -1\/5 (c) k (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38513 divided by -38513\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/57996 and -17\/11?\nAnswer: 637956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3731037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (1 + 0) - -34. Let z = h - -91. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077725419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1547*h - 37680. Calculate s(27).\nAnswer: 4089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 2536470?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - z + 7120 = -1268. What is the remainder when z is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3064 + 4704. Round b to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 16, 3\/4, -5\/4, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208\/267 - 10\/89. Sort 0.32, 0.1, n in increasing order.\nAnswer: 0.1, 0.32, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5.54243, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37932365 bigger than -37932365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)*n*n**(-3))\/(n**(2\/9)*n)**(2\/23) assuming n is positive.\nAnswer: n**(-1493\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52271808?\nAnswer: 2, 3, 272249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 0.1. Let v = q + 0.06. Let x = -24 - -27. What is the nearest to -1 in x, v, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 127*v - 124*v + 17 = 0, 2*h - 9 = -v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28884419*t**2 + 27*t + 2105377.\nAnswer: 57768838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 greater than 299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1613 and -1609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674321667 to the power of 1\/2, to the nearest integer?\nAnswer: 60616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6))\/((-36)\/1404*13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3675 = -2*p - 1351, 3*q = 5*p + 1717. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29454 - -20053. Which is smaller: l or -9402?\nAnswer: -9402","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6383 times 0.7779?\nAnswer: -4965.3357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.13, -0.11, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 765 + -380. What is the greatest common divisor of h and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - 360?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8896949 to two dps.\nAnswer: -3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*u*v - 2*u - 36*v - 3 wrt u.\nAnswer: 116*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67104 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3.12?\nAnswer: 12.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656.7856ml to litres.\nAnswer: 0.6567856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -64. Let r(w) = -w**2 + 10*w + 9. Let o be r(7). Let u = -30 + o. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 4) in base 2?\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-15) + (-106)\/(-6). Calculate the highest common divisor of 323 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14120 and 14.\nAnswer: 98840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283*r - 100?\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10500, -10474, -10426, -10350, -10240, -10090?\nAnswer: -9894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.16686, 652\/3, 2, 4 in increasing order.\nAnswer: 0.16686, 2, 4, 5, 652\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48978\/2867 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 129283?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1223585 and 1320?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e87e + 5?\nAnswer: 1e883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2 + (-5 + 3 + 0)*(4 - 2 - 1) + 0 - 2 + 4 + 3 - 4 - 1)*(10389*y**2 - 20783*y**2 - 126*y + 10396*y**2).\nAnswer: 4*y**2 - 252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25534390 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -33 - 3048\/381?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 12. Let s be (-21)\/(x - (-1 + 3)). Suppose -17*q + s*q = 300. What is the greatest common factor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9548.6687003 - -9524.206. Let b = 24.2927 + j. Let x = b - -0.17. Round x to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141 - -143) + -2 + 0 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7648772 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/234 - (1520\/130 + -12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777748 is divided by 45583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**3 - 284490*g**2 - 568995*g - 284500 = 0.\nAnswer: -1, 56900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 37 + 17*f**2)*(-2*f + 2 - 2)*(f - f + 3*f) in the form k*f**3 + m + u*f**4 + g*f + i*f**2 and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -882002.69981 + 881978. Let i = 0.29779 - r. Let u = 25 - i. Round u to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 3*q - 286. Suppose -c = -0*c + q. Calculate the common denominator of 6\/(-27) - (-1200)\/c and -16\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/((-49956)\/(-905)))\/((-4)\/((-1056)\/15))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8)\/(4\/(-248)). Suppose -4*l + 2*u + 16 = -2, 0 = -3*u - 15. Suppose -l*b - b + z = 0. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 - 4*a - 7. Let s be v(6). Let z(t) = 2*t**2 + s - 1 - 2 + 2*t. Let j(m) = -m**3 + 15*m**2 + 57*m - 394. Let r be j(17). Give z(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10695216\/17 and -629130 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3*(-10)\/75?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969499190?\nAnswer: 2, 5, 11, 223, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 33407 - 10822 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68514 - 68514.140796. Let d = 0.038938 + x. Let k = 0.102 + d. Round k to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -537251 (base 13) to base 3\nAnswer: -10200110202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.22 - -4.22. Is c greater than -13\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = -3*h + 2*y, 0 = 2*h + 3*y - 1. Let s be 5*((-36)\/15)\/h. Suppose -s*a = 2*a - 15. Sort 1, a, -1.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684)*4)**2 + ((sqrt(171)*1)**2 - sqrt(171)) + -2.\nAnswer: -3*sqrt(19) + 43945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*p**3 - 29*p**2 - 8408*p wrt p.\nAnswer: 516*p - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 806?\nAnswer: 7e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + -19 + 24 - -15. Sort -1, 1, 5, a, 4 in decreasing order.\nAnswer: a, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.42 - 2.4. What is the biggest value in m, 6\/7, 2\/13?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -0.087.\nAnswer: 0.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4)*(1 + 0). Suppose -z*x + 7 = -1. Let o = 3.97 + 0.03. Which is the second smallest value? (a) o (b) x (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.4 + -19.40000973. What is l rounded to seven dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24163200 to the nearest 100000.\nAnswer: -24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.3 (b) 1\/7 (c) 0.4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*a + 31, 991*g - 1978*g + 988*g + 3*a + 24 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 and -79\/77696?\nAnswer: 77696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 26*y = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 14*c + 25. Let i be x(-12). Solve 3*z - 4*z - a = -i, -z + 17 = -3*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 2 b when four letters picked without replacement from nnneeyuyyneberubbbur.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13154, -13032, -12838, -12578, -12258, -11884, -11462, -10998?\n\"Answer: -v**3 + 42*v**2 + 3*v - 13198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 101*j**2 + j + 1. Let a be (-1 - -1 - 0) + 5. Suppose -a*p + 46 = -84. What is the remainder when z(-1) is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 != 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + x - 16. Let b(l) = -3*l**2 + l + 3. What is 2*b(m) - 5*f(m)?\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 5*r + 253. Give j(22).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -116*q**3 - 49*q**2 - 15*q - 40. Let p(u) = 173*u**3 + 73*u**2 + 24*u + 64. Give 5*p(w) + 8*s(w).\nAnswer: -63*w**3 - 27*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1870 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {w: 7, b: 6, k: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43242 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {d: 1, b: 1, p: 1, c: 1, j: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2216, -2216, -2228, -2258, -2312?\nAnswer: -2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3138\/(-14121))\/(4\/81)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + l - l**2 - 1 + 2*l. Let a(s) = -2*s**2 + 2*s - 6. Suppose -4*w = -h - 17, 5*h - 4*h + 21 = 5*w. Let t(r) = h*a(r) + 3*y(r). Give t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v - 14. Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5013581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 + 19*o**3\/6 - 11*o**2\/2 + 40*o. Let s(y) be the first derivative of m(y). Let p(x) = x**2. What is s(p(q))?\nAnswer: -2*q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**6*f*f)\/f)\/f*(f**(1\/6)*f)\/f)**1*(((f\/(f*f**2))\/f)\/f**6)**(-5\/3) assuming f is positive.\nAnswer: f**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-5 - 45\/7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 12. Let v be m(12). Let n be 2\/(-4)*(1 + v\/4). Suppose n*d = -h + 5, 61 = 4*h + d - 34. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 21. Solve i = s - 2*s - 3*j, 4*s = -4*j - 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c7b + 12?\nAnswer: -5c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 5. Let t(m) = -3 - 1 + 1 - 1 + 12*m**2 - n*m. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 12*i**3 + 20 + 3*i**3 + 5*i**3 - 30*i**3 to z + o*i**2 + x*i**3 + t*i and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3149837*k**2 + 4*k - 12261377 wrt k.\nAnswer: -6299674*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -1.42 (b) 0.2 (c) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -626648 - -3?\nAnswer: -626645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/120 + 2*o**5\/15 + 7*o**4\/24 + o**3\/2 + o**2. List the prime factors of y(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from pebreeedzdde.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476*q = 1271*q + 928*q + 65793 for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x - 2*x**2 + (x + x - 4*x)*(-4*x + 3*x - x) + 0*x**2 + 2*x**2 - x**2 + 0*x**2 + 2*x**2 + 0*x**2 + (129 + 43*x - 129)*(0*x + 0*x - 2*x).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) + -1 - sqrt(11)) + (sqrt(11) - (sqrt(44)\/sqrt(4) + 1)) + -3 + -1 + sqrt(11) + 4 - 5*(5 + sqrt(99) + -2 + 0))**2.\nAnswer: 616*sqrt(11) + 2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4362546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**3*r*r**0)\/((r*r**(2\/5))\/r)**20)**(1\/45) assuming r is positive.\nAnswer: r**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 56727?\nAnswer: -5\/56727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-6) + 1 + -2. Let y(g) = -2*g**2 - 44*g - 146. Let f be y(-18). Let p = 0.01 - -0.49. What is the smallest value in j, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/21*318\/(-265).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12271 is divided by 4878?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.42 (b) -4 (c) 24.8 (d) -0.5 (e) 3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39.215 * 18.9\nAnswer: 741.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 10:08 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16*n = -14*n + 15486. Calculate the remainder when n is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 204*q - 119*q - 119*q. Let x(r) = -4*r**2. Give x(k(n)).\nAnswer: -4624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 2*y**2 - 2*y - 3. Let l(g) = -23*g**3 + 18*g**3 + 7 + 4*g - 5*g**2 - 3 + g + 2. What is -2*l(t) - 5*q(t)?\nAnswer: -5*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 13) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9770 is divided by 1460.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 2*v + 10)*(19 + 2*v**2 - 12 - 8) in the form n*v**3 + m*v**2 + r + q*v and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 3*v)*(3*v - 2*v + v)*(-19 - 58 + 21 + (-4 - 3 + 5)*(-3 - 2 + 7))*(2*v**3 - 2*v**3 + 2*v**3).\nAnswer: -480*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*x**3*z - 270*l*x**3 + 6*l*z - 2*l wrt z.\nAnswer: -l*x**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = 4*t - 5*t, -t - 4*g = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7008 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3483*z - 22. Suppose -2*t = -3*t + 7. Let d be m(t). Does 20 divide d\/(-161) - (-8)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 26*x - 146 = -a, 4*a = 5*x - 365. What is the remainder when 144 is divided by x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 835 + -5847\/7. Which is the nearest to i? (a) -0.1 (b) -1 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f, -3*v - 2*f + 320 = -6*f. Let c = v + -105. Suppose 3*i = c*i - 328. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 6*f**2\/5 + 8*f\/5.\nAnswer: f*(f - 4)*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 297, 667, 1183, 1845, 2653, 3607?\nAnswer: 4707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 107229?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1495 + -1485. Solve -5*y - 8*m + x = -3*m, 5*y + 4*m = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-70)\/90)*-2*49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.1. Let t = 28.01 - 31.01. Let w be (-4)\/27*3\/2. Sort w, r, t.\nAnswer: t, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**2 + 5*k - 10. Let w(o) = -8*o**2 - 4*o + 8. Let u(n) = 4*i(n) + 5*w(n). Let q(j) = -13*j**2. What is u(q(y))?\nAnswer: -676*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*g - 81. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101*73572\nAnswer: -7430772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from jxjjjssjjsjjjjjjxx.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/670 and -11\/4.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 10*k**2 - k + 3. Let r(p) = 2*p**2 - p. What is b(q) - 5*r(q)?\nAnswer: 3*q**3 + 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1100121120 (base 3) to base 10\nAnswer: -26691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 + 2804*d**2 + 191416*d - 725904.\nAnswer: 2*(d + 142)**2*(5*d - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 704*o. Let i(b) = -2*b**2. Give m(i(l)).\nAnswer: -1408*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1\/29 (c) 2\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 4, a: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -813 + 817. Suppose -2*j + n = 4*f, -20*j + f - 4 = -22*j. Solve -i = -j*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/25)\/(4\/10). Let x(k) = -k**2 + 12*k - 8. Let b be x(11). Find the common denominator of r - b\/(-9)*14 and -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y = -84*y - 4*z - 56, -3*y = 2*z + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2051 + 0.0709. Let p = z + -0.292. Let i = -0.026 - p. What is i rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 + 192.3. Let u = x + -15. Let k = -853.2 - -853. Is k bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 8*d + 5. Let b be x(-5). Let g(u) = u**3 + 11*u**2 + 11*u + 10. Let l be g(b). Solve l = -z - 3*z - 5*s - 20, 3*z - 2*s = 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 18\/(-8) + (-210)\/(-520).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -135909 + -1?\nAnswer: -13590a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 l when three letters picked without replacement from uleleeekluueue?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3174388847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1, 3, -249000, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 - 3.174. Let i = 0.02599874 - n. Round i to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*l + 291*l - 61*l - 54*l - 58*l - 32*l**3 - 55*l.\nAnswer: -32*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 6*x**2 - 17*x + 4. Let h be v(-9). Let p = -81 - h. Calculate the least common multiple of p and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -843.76858939 minus -4?\nAnswer: -839.76858939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 8\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 10 in descending order.\nAnswer: 10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 674b + 2?\nAnswer: 674d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6156 - 6160. Which is the second biggest value? (a) 1 (b) s (c) -20 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p + 3. Let y = p + 11. What is the remainder when 18 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48b8b (base 15) to base 7\nAnswer: 1654460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2. Let l = 238 + -236. Let f(t) = -43*t + 40*t**l + 31*t**2 + 43*t. Give q(f(h)).\nAnswer: 10082*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259659 is divided by 6365?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 1, u: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(-12)\/88. Sort l, -7, -12, 0.2.\nAnswer: -12, -7, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15662161 (base 7) in base 2?\nAnswer: -101110101000000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*n - 17, 0*n = -2*v + 4*n - 22. Let h be (52\/351)\/((-2)\/v). Find b such that -h*b**3 + 0*b + 2\/9*b**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/45 + d**5\/15 - 5*d**4\/6 + 4*d**3\/9 + 20*d**2\/3 - 29*d + 2. What is v in z(v) = 0?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqnqqqnnnqnqnii. Give prob of picking 3 n and 1 i.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, k: 7}. What is prob of sequence kku?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2512*i + 676. Let u(z) = -63*z. Give u(r(l)).\nAnswer: 158256*l - 42588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3066*h - 1278563 = -1801*h - 9*h - 4065*h for h.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(-2\/101)\/((y\/(y*y\/y**(-1\/6)))\/y**(7\/3)) assuming y is positive.\nAnswer: y**(354\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/y**(-3))\/y)\/y)**(2\/59)\/(y**1\/(y*y*y**(-3\/2)\/y*y)) assuming y is positive.\nAnswer: y**(-47\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:01 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t**2 + 3*t**3 - 59*t**2 + 30*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 0 + -101 + 104?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-3\/4)\/b))\/(b*b**3*b))\/((b\/((b\/b**11)\/b*b))\/(b*b**(1\/16))) assuming b is positive.\nAnswer: b**(-227\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.226 (b) 0.2 (c) 536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 168 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7410 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:20 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36312, 36306, 36288, 36252, 36192?\n\"Answer: -v**3 + v + 36312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uceaacrh. Give prob of sequence ahr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**0)*h)**(-3))**(1\/15) assuming h is positive.\nAnswer: h**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 15 + -2 + -25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -93*a + 28*a + 22*a + 29*a. Let t(j) = 12*j. What is t(r(h))?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + p**3 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 860, 1446, 2214, 3224, 4536, 6210?\nAnswer: 8306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25707 (base 8) to base 11\nAnswer: 8469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 3. Let z be i(-4). Let c be -30*3\/(-12)*(-8)\/(-6). Suppose 0 = -9*j + c*j - 3. Solve -j*x + x = 2*n + 10, -4*x + 3*n - z = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -94*m**7\/105 + m**4\/24 - 14*m**3\/3 - 6*m**2. Find the second derivative of a(z) wrt z.\nAnswer: -2256*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2952.704 years?\nAnswer: 2.952704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p**3 - 110*p**2 + 1453*p + 5750388?\nAnswer: -9*p**2 - 220*p + 1453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 69. Let x = k - 15. Let q = x - 14.8. What is q rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -992.7 + 1015.847. Let n = -17.3 + o. Let p = n - 6. What is p rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 230 - 230.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 2*j - 12. Let q(h) = h**3 + 4*h**2 + h - 3. Let w be q(j). Let m be 64*(9\/(-2))\/w. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 75*g + 4. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 3. Let f be (0*t\/6)\/1. Suppose -3*h + 4*h - 14 = f. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + -0.1600062. What is c rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/252*-9)\/((-3)\/72))\/(-1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3422 * -2.\nAnswer: -6844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 252288.3s?\nAnswer: 4204.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v + 793 - 89 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 58 + 5 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11)*(-107 + 106). Which is the second biggest value? (a) w (b) 8\/9 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 + -5 - -18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/15 + 4*h**2\/5 - 2*h\/5 - 4\/3.\nAnswer: -2*(h - 5)*(h - 2)*(h + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1807535 (base 11) to base 9.\nAnswer: 5688132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*g**2 - 337*g**2 - 384*g**2 + 0*g**2 - 2*g**2 - 2*g**2 + (-2 + 3 - 3)*(-1 + 3*g**2 + 1) + 2*g**2 - 3*g**2 + 3*g**2.\nAnswer: -801*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 9*w**2 - 3*w + 34. Let j be k(9). Let x(n) = 2*n**3 - 9*n**2 + 16*n + 10. Is x(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 + 1626972*f - 4963196041470.\nAnswer: -2*(f - 6101145)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h**2\/5 - 3832584*h\/5 + 4599144 = 0. What is h?\nAnswer: -638770, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-6\/5)*x)\/x)*x\/x**(1\/5)*(x*x**(-1\/2)\/x)**(-6))**(46\/5) assuming x is positive.\nAnswer: x**(276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-432))\/(2\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288 - 580 - 2*a + 292.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -2*c - 21. What is the remainder when c is divided by 1*150\/(-12)*(-8)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -200851*b. Let v(j) = 14*j. What is v(g(x))?\nAnswer: -2811914*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 149*b**3 - b**2 + b. Let y(d) = -d - 4. Let t be y(-5). Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(-1 + 3 + 16). Let m(y) = -y**3 - 10*y**2 - 11*y - 15. Let d be m(n). Suppose d*x + 2*k = 15 + 8, -x + 2*k + 21 = 0. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566 + -430. Let d be (2210\/z)\/((-5)\/(-6)). Let -57\/2*x**3 + 18*x + 6 - d*x**2 + 21\/2*x**5 + 27\/2*x**4 = 0. What is x?\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*a + 1152830 = 1176474 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 25*v + 30. Determine b(27).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqp when four letters picked without replacement from qqppsjsss.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = t - 21 - 25, 3*t - 5*y - 110 = 0. Suppose -2*s = -4*x - t, 2*s + 5*x - 12 = 3*x. Calculate the remainder when 26 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 18*g + 138*g + 22*g.\nAnswer: 172*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-15)\/(-240)*-93.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f + 7. Let t be l(-6). Suppose m + v = -3*v - 18, t = -m - 3*v. Let o be m\/((-24)\/27 + 1). Solve -k = -0*k - 5*q + o, 3*k + 4*q = 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 - 8*m - 8. Let w be a(-6). Factor -z**3 - 3 + 7 - w.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1611 rounded to 2 dps?\nAnswer: 5.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qxvqqxvxvxxvvxxx?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22460\/300 + (-4)\/(-30). Which is smaller: j or 381\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 + 2*g**2 - 3*g + 1. Let q(d) = -d**2 + d. Give -b(x) - 3*q(x).\nAnswer: -3*x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 32 = 4*r, 24 = 615949*t - 615950*t - 3*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -324260?\nAnswer: -324247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1855*i - 91*i**2 + 1855*i.\nAnswer: -91*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmxv when four letters picked without replacement from bbbmfvmxfxvxf?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 336851 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.477636 to three dps.\nAnswer: -0.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:07 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77\/2 - -983\/30. Calculate the common denominator of -85\/624 and n.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57091*l + 17*l**3 + 28540*l + 894*l**3 + 28551*l.\nAnswer: 911*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hau when three letters picked without replacement from uyuyuuauhhuuuu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*w - 66. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91.739 + 92. Let k = 0.26045 - x. Round k to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 * -8\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2.15?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -27*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Sort 5, 1, -8484.\nAnswer: -8484, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -47*d**3 + 7*d**2 + 3*d + 6. List the prime factors of h(-2).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 28 + 49 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.3 (b) -1850\/93 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - 137. Suppose 0 = -5*l + 9*l - 8. Solve -3*u = -0*f - 4*f + 8, c*u + 18 = -l*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 greater than or equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20055199 rounded to the nearest 10000?\nAnswer: 20060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 0, 2*o + 10 = -n + 6*n. Let y be (-2)\/(-3) + (-4)\/6. Suppose y*j + 20 = 5*j. Sort o, -1, j.\nAnswer: -1, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*f - 10. Suppose -25 = -5*m, 4*r - f*m - 65 = r. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 + r - 33. Let f(p) = 9*p**2 - p + 49. Let i(x) = 5*f(x) + 7*m(x). Let l be i(-3). What is the highest common factor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**2 + 0 - 1\/12*p**4 + 0*p**3 + 0*p. Let b(c) = 2*c**2 - 5*c**2 + 4*c**2. Determine b(q(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -73. Suppose -3*m - 2*s + 25 = -y*s, 5*m - 31 = 4*s. Solve f**2 + 1\/3*f**m + f + 1\/3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*(36\/(-360) + 10\/25). Solve 2*t**3 + 9\/2*t + 1 + f*t**2 = 0 for t.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/11850 and 47\/80.\nAnswer: 94800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2860 and 149665780?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.1, -1, 24498, -0.4, -4 in decreasing order.\nAnswer: 24498, 11, 0.1, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*3 - -1. Let g(y) = -3*y**x + 0*y**2 + 2*y**2. Let k(n) be the first derivative of n**3\/3 - 12. Determine g(k(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m - 288 = -42*m. Suppose 0 = 2*u - 4*h - m, -4*h + 105 = 5*u - 9*h. Calculate the remainder when u is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4147 + 4543. What is the least common multiple of f and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:52 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 20 = 2*q, 336*q - 7 = -3*j + 333*q + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/7 (b) -2\/7 (c) -18 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*18.83.\nAnswer: -11.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.04 (b) -597.79 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3765 * -48\nAnswer: -180720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 4*a**2 - 5*a**2)*(-3*a + 0*a + 2*a + (3 + 0 - 1)*(3*a + 0*a - 4*a)) - a**3 + 4*a**3 - 2*a**3 + (a**2 - 1 + 1)*(0*a + 2*a - a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfl when three letters picked without replacement from lfm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*g - 33, -2*i - i - 27 = 3*g. Let z = 1 - i. Let q(j) = -4*j + z*j + j - 2*j. Let b(c) = -3*c. Determine q(b(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**3 - 4*t**2 + 2*t + 3. List the prime factors of v(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1, 0.7, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:03 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-14)\/(-140)*2\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/20 - z**4\/3 + 2*z**3\/3 + 3*z**2 + 2*z. Suppose -49*r = -109 + 354. Give x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 - -89. Let j be (-26)\/m*3*1. Let s(d) = -d - 4. Let w be s(-6). Solve -v = 5*g + 2 + 2, -w*v = -j*g + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:47 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138447613 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686864 is divided by 182.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 25*w + 14. Let x = 41 - 46. Let l(z) = 5*z**2 - 25*z + 15. Let k(c) = x*t(c) + 6*l(c). Determine a so that k(a) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/10 + 9*a**5\/5 - 51*a**4\/4 + 46*a**3 - 90*a**2 - 2*a - 30. Factor m(o).\nAnswer: -3*(o - 5)*(o - 3)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116709 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*(-3)\/(-30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 3, 0.41, -0.4 in decreasing order.\nAnswer: 3, 3\/4, 0.41, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34360844 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391566 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19034 - -19036. Solve 5*n - 7 = -5*u - 42, a = 2*u - 2*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 79\/4 - 2\/(-8). Suppose g*x = 3*x. Is x > 4\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/22 + 33276\/132. Let d = u + -223. What is the remainder when 137 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -3447875858.8.\nAnswer: -3447875854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26734 - -26754.013. Let v = -20 + c. Round v to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7514 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/(-2)*15. Let u = 55 + -35. Let p = u - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 3, 4*j + 2 = -q. Solve p = 2*p - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 758 + -501. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6949430?\nAnswer: 2, 5, 17, 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*(t**2 + t**2 + 0*t**2) + 13*t**3 - 12*t**3 + 62*t**3 + 4*t**2 - 4*t**2 + t**3.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = -38. Let p be t\/14 - -1*2. Let n = -0.7 - -0.2. What is the nearest to -0.1 in n, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/((-16)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213*169.\nAnswer: -35997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 + 2*k - 2. Let g be x(-2). Suppose -i - 27 = 5*l, 3*l + l = -g*i - 24. Sort 4, 0, l.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-28) - 18\/14. Let w = -1142 - -19403\/17. Are w and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170.7 + -2010.3020266.\nAnswer: -2181.0020266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-42))\/(11\/55*(-10)\/172).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 2411*j**2\/4 + 1205*j\/2.\nAnswer: j*(j + 1)*(j + 2410)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 50, 75, 100, 125?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4*a**(4\/7)\/a)\/(a**(-1))**(-10))\/(a**(-3\/5)\/a**(3\/8))**(7\/10) assuming a is positive.\nAnswer: a**(-16089\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442*35.398.\nAnswer: -15645.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 5*g. Let b be j(2). Suppose -2*p + 1 = 2*t - 13, t - 27 = 4*p. Let n = t - b. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 96. Suppose k + 79 = -3*k + t, -k + 3*t - 17 = 0. Let g be k\/6*(-6)\/l. Solve -7 = -3*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 13*o**2 + 9*o**2 - 21*o**2 as c + u*o + m*o**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 122593 = -8129. Suppose -15*z + 150509 = 956339. Let k = z - l. Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 56 - 3 + 19 = 0. Solve -4*u - i = -u - 3*l, 0 = -5*l - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 1. Let t(w) = 57*w**2 - 4. Determine -4*i(p) + t(p).\nAnswer: 53*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01823 in 2\/5, 0, -1, 16, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 13*u - 8*u. Let l = -55 - u. Let b = l - -286. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-56)*511\/146.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4375731 divided by -1497?\nAnswer: 2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -2791?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(-2*y - 2 + 2) + 1 - 1 + 2*y + (-1 + 2*y + 1)*(4 - 2 + 0) - 158 - 21*y + 158.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*-1 + (sqrt(130) - (sqrt(130) + -5*-2*sqrt(130)) - sqrt(130)))\/(sqrt(60)\/(3*sqrt(54))) + -5.\nAnswer: -81*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, -137, 339, 2 in decreasing order.\nAnswer: 339, 4, 2, 0.6, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.368953 and -16419.\nAnswer: -16416.631047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5069 + -5067.9949. Let u = f + -0.0051. Which is the second smallest value? (a) u (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9408*v**2 - 35703864*v - 135498076587\/4.\nAnswer: -3*(112*v + 212523)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 + 5570*k**3 + 1241165*k**2 - 172714560*k + 4807480320 = 0 for k.\nAnswer: -608, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:04 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/84 - f**4\/6 + 5*f**2. Find the second derivative of w(s) wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -7*p + 2*p + 2*w, 0 = 3*p + 5*w - 100. Suppose 43*h - 5920 = p*h. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 123 = -7*f. Let n = f + 55. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 17*y + 5. Let q(c) = -c**2 - 4*c + 1. Let s(a) = 4*d(a) - 18*q(a). Let p(m) = m**2 + m + 1. Let b(h) = -2*p(h) + s(h). Factor b(z).\nAnswer: -2*z*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85489483.\nAnswer: 157, 491, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.25, -2.085, 3, 0.14, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57231630 divided by 5.\nAnswer: -11446326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(147) + 2*3*sqrt(147) + -1*3*sqrt(147) - (-1 + (sqrt(147)*-1 + 2 - (2*sqrt(147)*-4 + sqrt(147) - sqrt(147))))))**2.\nAnswer: 168*sqrt(3) + 5296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 1786. Let j be z(0). Suppose -5*m + 3*n = -3458, -1665 = -5*m - 4*n + j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277719839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7 = 3*w - 27, h = 3*w - 29. Let r = 8 - w. Which is smaller: r or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130600000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 404223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b + b - 4*b)*(-4 - 75*b + 7*b**2 - b**3 - 3*b**2 + 74*b) to w*b**2 + v*b**4 + q*b + u*b**3 + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6021, 24121, 54287, 96519, 150817?\n\"Answer: 6033*y**2 + y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 143 - -5?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 746116.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (49 + -32 - -4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -261\/6773?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35475 (base 14) to base 2.\nAnswer: -11111101100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = -7*q - 2*x, 2*x - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 784288\/41 - 19130. Calculate the common denominator of l and -54\/11.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 0*m + m + 4 - 4 + (-3 + 0 + 1)*(0*m - 3*m + 5*m) + 4*m + 0*m - 5*m)*(-6280*m + 118*m**2 + 6280*m).\nAnswer: -1062*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -624*(2 - (-566)\/(-4)). Let r be 5006\/4*(1 - 66\/2). Let v = r + u. What is v rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000807 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 234, -1001?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*d = 1596*d + l - 15, 2*d + 4*l - 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.259 and -16.\nAnswer: -16.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -146 + 148 + -2 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 43536.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1 - 14*o + 4*o**2 + o**3 + 2*o + 8*o - 11*o + 0*o**2. Determine c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -223755*r**2 + 6357070?\nAnswer: -447510*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {h: 2, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 61076318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2)\/sqrt(2))\/((-1*sqrt(88))\/sqrt(8)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506.87 + -509. Let s = i + 0.13. What is the closest to 2 in 1\/4, 0.1, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 37. What is the nearest to 1 in -0.2, -4.8, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19153288361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/84 + (-6)\/14*18\/(-27)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -0.662?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/96*(-2400)\/(-9675)\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -3. Suppose -r + 99 = i. Calculate the common denominator of 35\/16 and (17\/(-34))\/(1\/i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*g - 672, -g = -4*g. Let n = 228 + u. Let j be -1*6\/2 + -1. Sort n, 3, j in descending order.\nAnswer: n, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**9\/504 - a**5\/12 + 2*a**2. What is the third derivative of p(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -48. Let q(w) be the first derivative of 2*w + 0*w**3 + 0*w**4 - 1 - 1\/5*w**5 + 0*w**h. What is the derivative of q(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -31?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5 - 421004*l**4 - 5473390*l**3 = 0.\nAnswer: -13, 0, 210515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-10 - (7 - 7 - (2 + 1)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smvvgmvgmmm. Give prob of picking 1 v, 1 m, and 2 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {l: 1, q: 1, c: 5, v: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 737537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 35*f**3\/6 - 2*f + 487. Give u(-3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - x**5 - 3*x**4 + (x**3 - 3*x**3 + 0*x**3)*(6*x**2 - 4*x**2 - 4*x**2) + 2*x**5 + 15*x**5 - 2*x**5 - x**2 - 4*x**5 + x**2.\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13643 divided by 7\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 412651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o - 10. Let z be f(0). Let l be (z\/(-2))\/(1 + 0). Suppose 229 = l*r + 79. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*u - 49 = -2*f + 136*u, 2*f - 2*u - 36 = 0. Determine h, given that -48\/7*h + 15\/7*h**2 - 36\/7 + 45\/7*h**3 + 3*h**4 + 3\/7*h**f = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 13 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.059.\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100206984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -441*o**2 + 17*o + 23. Let z(n) = -147*n**2 + 6*n + 8. Let f(t) = -6*k(t) + 17*z(t). Let g(d) = -2*d. What is g(f(i))?\nAnswer: -294*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -18, -4, -0.06, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 2*j - 208\/5.\nAnswer: 2*(j - 8)*(j + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736559238 to the nearest integer?\nAnswer: 27140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-40)\/(-30) + 316\/6. Suppose i + 21 - s = 0. Calculate the greatest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l + 40 = 5*s, -4*l = 5*s - 4. Suppose m - 25 = s*t, -3 - 85 = -4*m + 4*t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 9*s**2 + 3*s + 5. Suppose 5*g - 2*f - f = -44, -2*g - f = 22. Let t be l(g). Let i = t - 51. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 0, 27, -2 in descending order.\nAnswer: 27, 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102996, -206083, -309170, -412257, -515344?\nAnswer: -618431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726502226 to the power of 1\/3, to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132311693 equal to 132311692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/6 - 37*a**3\/6 - 3*a**2 + 82*a. Let f be b(26). What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691567.2 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 547, 1.008, 0.2, -6 in increasing order.\nAnswer: -6, 0.2, 1.008, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 540*u + 11369. Give g(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37850 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0024163 and -258.\nAnswer: -258.0024163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881172 is divided by 293650.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*b*l**3 + 6*b*l*z + 69*b*z + 635*b + 73*l**4 - z + 2 wrt l.\nAnswer: 120*b*l**2 + 6*b*z + 292*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1548 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9491*d**3 + 30*d**2 - 18. Let r(v) = -255222481*v**3 - 806735*v**2 + 484041. Determine 161347*q(k) + 6*r(k).\nAnswer: 9491*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*m + 86*m - 918 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, 1\/2, -12, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1371 and -282.\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6030 - 3054. Let c = t - 1506. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/14*24\/(-14) - (-5 - 221744) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 161656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024875 + -8176.\nAnswer: -8176.024875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 999026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, 5, 4 in decreasing order.\nAnswer: 196, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 - 182 = 52*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 125, 357, 807, 1547, 2649, 4185, 6227?\nAnswer: 8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c + c + 10*c**2 + 10*c**2 - 32*c**3 wrt c.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1669 = 71*r + 85*r + 265 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 + 51*j**4 + 234*j**3 - 150*j**2 - 2541*j - 2205 = 0.\nAnswer: -7, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 631*r - 470. Is p(8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 9. Let g be n(7). Let v = 1 - g. Suppose 2*b = -3*m + 5*m, 5*b = -v*m + 32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.4 + 2.4. Let v = 15.2 + n. Which is the closest to v? (a) 1 (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, b: 1, c: 1, l: 1, t: 2}. What is prob of picking 1 t, 2 l, and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.6*1.4658.\nAnswer: -49.25088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 3. Let u be 4 - (0 + i + 3). Solve -u*b = 11 + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n + 517077 = -4472*n - 509*n for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:46 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*j - m + 13, 2*j - 3*m - 3 = 0. Let q(d) = -d - 1. Let u(c) be the third derivative of c**4\/12 + c**3\/6 - 2139*c**2. Calculate j*q(y) + 2*u(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knynyykkynnkkknnkyym. What is prob of picking 1 y, 1 k, and 1 m?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 899278.8 minutes in nanoseconds?\nAnswer: 53956728000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (((-1 + sqrt(720) - sqrt(720)) + -3 - sqrt(720)) + sqrt(720) + 1 + sqrt(720)*1)**2)*-4.\nAnswer: -288*sqrt(5) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10331 + 3?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:34 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -6123 (c) 15920\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8434599\/104 + -81101. What is the common denominator of 115\/24 and f?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + -58. Let h = 135 + z. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 279*j**2 - 175324*j - 5903424.\nAnswer: (j - 592)*(j + 36)*(j + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 58970*c + 354000 = 0.\nAnswer: -11800, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1509 + 1505. Let y(b) = -9*b - 19. Calculate y(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 4*z + 6 = 4*y, 4*y = z + 6. Let v = -4 - -8. Let o = -39\/4 + 109\/12. What is the closest to o in v, 2\/21, y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (16 - (-26 + 9 + 12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -131*a**3 + 3*a**2 - 2*a - 16. Calculate the remainder when g(-2) is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*a**3*n + 43193*a**3 + a**2 - 8843548*a*n + 2*a wrt a.\nAnswer: -324*a*n + 259158*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 19 = k, -n + 4 = 4*k + 3*n. Let x be 15\/(-8)*-2 - k. Which is the second smallest value? (a) x (b) 2\/3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 7 = -j - 10*c, 3*c = -2*j + 20 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 45*o**2 + 67*o - 1110. What is the hundreds digit of d(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 1, c: 1, d: 1, f: 2, v: 1}. Give prob of sequence ppaf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-4) + 0\/1. Suppose i*c = m + 7*c + 1761, -3*m - 5343 = -3*c. Is 2\/(-10) - m\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w**14*w)\/w)\/(w\/(w*w*w**4*w*w)))**(2\/5))**(-1\/31))**(-4\/3) assuming w is positive.\nAnswer: w**(176\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/39 - -74\/273. Let v = -0.07 - -6.07. Let z = -5 + v. Which is greater: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8982 - -8984. Let x = -346 + 4500\/13. Let j be 185\/74 + (-138)\/52. What is the third smallest value in j, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27111803039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56293, -112009, -167725, -223441, -279157?\n\"Answer: -55716*y - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -724*p - 705. Is z(-43) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40*(8\/(-5) + 2). Suppose -4 = 4*p - n. Suppose 0 = 2*u - 5*t + 31, 0 = 9*u + 2*t - 55 - 124. Solve 0 = -5*z + p + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzsv when four letters picked without replacement from {z: 1, o: 2, l: 1, s: 4, v: 6, c: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1028*k**2 + 14*k - 827. Let c(o) = 513*o**2 - 6*o + 415. Let z(n) = -3*a(n) - 7*c(n). Differentiate z(h) with respect to h.\nAnswer: -1014*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, 4 in increasing order.\nAnswer: -16, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-14)*4\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -4663?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6102 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9bb33e - 17?\nAnswer: 9bb327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-291)\/(-485))\/(36\/8*1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**8\/168 - 4*z**7\/175 - 11*z**6\/300 + 13*z**5\/75 + z**4\/5 - 8*z**3\/15 - 2*z**2 - 53*z. Solve t(x) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/14)\/(((-1536)\/112)\/32).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -121, -3 in ascending order.\nAnswer: -121, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(6\/5))\/h)\/h)\/h)**(-9)*(h**(-5\/2))**(-1\/14) assuming h is positive.\nAnswer: h**(4057\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -225 + 229. What is the third biggest value in 3, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 5*w - 245. Let t(r) = -3*r**2 + 9*r - 488. What is 5*i(u) - 3*t(u)?\nAnswer: -u**2 - 2*u + 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*n + 12 + 15, 2*n = 2. What is the remainder when 27 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3.5. Let h = 1.7 + r. Which is the smallest value? (a) h (b) -1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23408*v - 23419*v = -143 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/55, 0.5, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2 - 8*d - 4. Let n be f(4). Suppose 5*p - o - 1476 = -2*o, 4*o - 4 = n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 6*l + 9. Let v be ((-24)\/(-28))\/(2\/(-14)) - -2. Let s be d(v). Let z(i) = -i. Let k(c) = 2*c + 2. What is s*k(o) + 3*z(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(3920\/9000) - 36.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 27*r - 48*r - 21 + 35*r. Let t be g(2). Suppose -t*c - 3*c = -1420. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13440 = 403539*t - 403763*t for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 9, 3\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.704 - -0.355. What is v rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 16) to base 2\nAnswer: 101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 + (-18 - -21) - 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from ffffffffffffppffff?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -42*p**2 + 126*p**2 - 50*p**2 - 36*p**2. Let r(w) = 492*w**2. Calculate f(r(u)).\nAnswer: -484128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-28)*n*n**(-2\/27) assuming n is positive.\nAnswer: n**(-731\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582 = 3*p + 2*r - 620, -p + 6 = 4*r for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 6 + 2 - 3. Suppose 2*z - 3*d - 12 = -2*d, -12 = -z + v*d. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(80))**2.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:01 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 574 = 5*c + v, -3*c - v = -851. Calculate the remainder when 873 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10936 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q + 626 = 591. Suppose -3*u + 3*x + 3 = 0, -5*u + 2*x = 10 - 0. Sort q, 3, u in descending order.\nAnswer: 3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556970 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10538.63218 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-3 + 3 + p) - 4*p + 7*p - p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94 - -26527?\nAnswer: 26433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 7. Let a be j(-7). Solve r - 2 + 3 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/36 and -79\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.032, -3 in descending order.\nAnswer: 0.032, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 98, 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/336*14*84788?\nAnswer: 11, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*s = z - 2, 8*z = 7*s - z - 0*z + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 621, 653, 697, 759, 845, 961?\n\"Answer: n**3 + 25*n + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -3 + 14 + -8 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -76*m**2 - 2*m + 2. Let p be f(-5). Let i = p + -3812. What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*10\/105)\/(352\/123200)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -72c759 (base 13) to base 16\nAnswer: -28f392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 - 2*g**3 + 2*g - 8)*(6*g**2 - 4*g**2 - 4*g**2).\nAnswer: 4*g**5 - 4*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*f**2 + 48*f**2 + 66 + 53*f**2 + (2 + 0 - 1)*(-6*f**2 + 3*f**2 + 4*f**2) + f**2 - 4*f**2 + f**2 to the form k + x*f**2 + u*f and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 3823?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -77. Let v be (-27)\/(-36) - (-495)\/m. Calculate the highest common factor of v and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i + 15 - 2*i - 13. Let w = 8 + -3. Calculate z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 9*u + 1. Let n be s(-8). Let f = -10 - n. List the prime factors of f\/(-4 - -7)*-118.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k + 4. Let z be k*(-1 + (3 - 1)) - -3. Solve -9 + 2 = 2*b - 3*h, 0 = z*b + 4*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 2*r**2 + 4*r - 3. Let g be q(-4). Let u = -208 - -213. Suppose 4*p - 12 = -u*k + g, -k - 6 = 3*p. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005464 rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-750)*15)\/(4\/616).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57268 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 12. Let f be u(-3). Which is greater: -7\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + (-22 + -1 + 0 - (-3352 - -3391))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 0.4, 1\/100, -41, 7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.876 - 0.124. Which is the third biggest value? (a) 0 (b) -1 (c) m (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - (-2)\/9. Suppose w*y - 5*y + f + 15 = 0, 3*y = -3*f - 9. Let u be 150\/((-2)\/(-24)*y). Round u to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -269*r - 13. Let g be q(-1). Let z = g - 261. Which is the biggest value? (a) z (b) 10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5, -5*z + 18 - 7 = 3*b. What is the remainder when 34 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*z + 10794 = -349*z + 6498 - 12864 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose -59 = -3*k - 22*h + 27*h, 2*h - 5 = -k. Let z be (-5)\/((-260)\/252) - (-2)\/k. Is z >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7020387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and -77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8*x)\/(x*((x*(x*x**(-2\/21)*x)\/x)\/x*x)\/x))\/(x**0)**15)**(1\/28) assuming x is positive.\nAnswer: x**(149\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7598*n**2*r + 2033*n**2 + 2*n - 2620*r + 4393 wrt r?\nAnswer: 7598*n**2 - 2620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, 0.4, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r = 127*r - 494663. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**8\/6720 + k**7\/1680 - k**6\/480 - k**5\/60 - k**4\/24 - 6*k**3 + 11. Let d(i) be the third derivative of m(i). Factor d(r).\nAnswer: (r - 2)*(r + 1)**2*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w + 642 + 2865. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose -85 = -4*v - 5*l, -q*v - 75 = -7*v + 5*l. Suppose -t = -2*t + 12. What is the lowest common multiple of t and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3255, 3221, 3191, 3165, 3143, 3125, 3111?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -34, 2, 23, -3 in decreasing order.\nAnswer: 23, 3, 2, 0, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2909 + 2908. Put 0.022, k, 2, 0.3, -5 in decreasing order.\nAnswer: 2, 0.3, 0.022, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17376?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.24 + -4.9154.\nAnswer: -2.6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j - 3*j**2 + 0*j + 9 + 0*j + 4*j**2. Calculate l(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 26*n**4 + 10*n**2 + 20*n + 5*n**2 - 46*n**4 - 15*n**3 - 5*n**2 + 10*n**2 - 5*n**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+704298694\nAnswer: 704298684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*u. Let f be (u\/(-6))\/(4\/(-18)). Suppose -f*o + 4*l = -40, -2*l - 62 = -o - 4*o. What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 + 11*w**2 + 6*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Let g be 1 + k + -2 + 15. What is the greatest common divisor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*v = -2*v + 2, 4*s - 3*v - 6 = 0. Let i(m) be the second derivative of -3\/2*m**2 - 1\/6*m**3 - 2*m + s. Differentiate i(k) with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 690, 2357, 5608, 10971?\nAnswer: 18974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*u = -6*k, 2*k - 5*u = 14. Suppose -k*y = -4*y + 2. Let b be (y - (2 - -2)) + 7. Solve 2*a - a = b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18909 + 43026. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 22*w - 11. Let z(o) = -o**2 - 12*o + 6. Let t(i) = -6*c(i) - 11*z(i). Let f(q) = 2*q + 111. Give t(f(n)).\nAnswer: 20*n**2 + 2220*n + 61605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11378 - 3791 - 3792 - 57*j - 3795. Let w(m) = 3020*m. Determine 160*b(x) + 3*w(x).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let t = d + 4. Which is the nearest to 0? (a) 3\/7 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9\/7, 38351\/5, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2636 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 749 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprppgppgrp. What is prob of picking 2 g and 2 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2043 - 12736 = -3*o - 5*l, -5*l = o - 4943. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 551963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 + -558.3. Let g = r - -96. Let z = 73\/57 + -18\/19. Which is the second biggest value? (a) 4 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/209400 and 57\/22336.\nAnswer: 1675200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1\/2)\/(11\/22). Solve 0 = 4*a - 5*x + 1, 7 = m*a + 2*a + 3*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398389363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -74, -68.\nAnswer: -74, -68, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 - 4*c**2)*(c + 2*c - c) + (-16 + 16 - 18*c**2)*(0*c + 2*c - c).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let r = -15855.2 + 15855. What is the closest to t in 2\/5, r, 40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:02 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209\/((-10241)\/294)*(3\/(27\/(-1)))\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/(-13) - (-95)\/12 and -55\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 4118 = -3*i + 12538. Calculate the remainder when i is divided by 204.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1196 + 7.78951896.\nAnswer: 7.66991896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881002 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -12049*s + 12006*s - 4. Let p(x) be the third derivative of x**6\/120 - x**4\/12 - x**3\/2 + x**2. Give p(s).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 1188*k**4 + 171608*k**3 - 1426764*k**2 + 3428390*k - 2174424 = 0. Calculate k.\nAnswer: -301, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 divided by 565741?\nAnswer: -487\/565741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - m = 103, 4*p - 78 = -0*m + 3*m. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**5\/3 - 13*o**4\/3 - 80*o**3\/9 + 78*o**2 - 30*o - 1882. Suppose s(b) = 0. Calculate b.\nAnswer: -3, 1\/5, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -33 + -83 + -20.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**3 - 21*w**2 - 98*w - 7. Let n(m) = -7*m**3 + 17*m**2 + 96*m + 6. Give -4*c(d) - 5*n(d).\nAnswer: 3*d**3 - d**2 - 88*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14154 (base 6) in base 4?\nAnswer: -202312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1069*c**8\/56 + c**4\/12 + 473*c**3\/6 + 872*c + 3. Find the third derivative of y(i) wrt i.\nAnswer: -128280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -634881, -2539537, -5713961, -10158153, -15872113?\n\"Answer: -634884*k**2 - 4*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 + 10*b - 5*b - b**2 - 40*b.\nAnswer: 9*b**2 - 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 2*u + 6. Suppose -f - 2*f = 0. Let m(q) = 18*q**3 - 19*q**3 + f*q - 2 + q. Give 8*m(i) + 3*r(i).\nAnswer: i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 4.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -69, -170, -277, -390, -509, -634?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112042 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 9 - -5) + -21 + -4 + -61 + 7.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8831 (b) -2\/3 (c) -0.1 (d) 70 (e) -1\/3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19896863?\nAnswer: 7, 23, 123583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.745, -52, 0?\nAnswer: -0.745","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h**(1\/4)*h)\/h)*h**(-5) assuming h is positive.\nAnswer: h**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000274 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68\/18 - 2\/(-9). Suppose j - g = 3*j. Let q be j - (-3)\/(3\/2). Put q, -5, -4 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436054*s**5 + s**3 + 2*s**2 + 1260001 wrt s.\nAnswer: 26163240*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 - 44*d**3 + 29*d**3 - 227 + 13*d**3.\nAnswer: -2*d**3 - 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmiiiiiiimi. Give prob of sequence ii.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c - 9*c**2 + 1\/6*c**4 + 9 + 0*c**3 + 3\/20*c**5. Find the third derivative of s(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 7756660025.\nAnswer: 7756660025.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*k + 26 = 0, -157*l + 134 = -152*l - 14*k for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142.15 - 140.7. What is s rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**6)\/m**(-11\/5) assuming m is positive.\nAnswer: m**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 1:05 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.08. Let m be (-2)\/((-12)\/(-99)) - 1. Let d = 18 + m. What is the nearest to d in l, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-22))\/((-7)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*215137.\nAnswer: 6669247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)\/o*o**(3\/4)*(o**(-2\/3))**(10\/11))**(15\/8) assuming o is positive.\nAnswer: o**(-169\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -2*k**4\/3 - 16*k**3\/3 + 5*k**2 - 2. What is the units digit of b(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17447\/(-1752) + (2170\/(-240) - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/28 - -9\/7. Let v = -0.5 + 0.1. Which is the nearest to h? (a) 4 (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -39*(-14)\/7 + (-3 - -1). Let t(p) = -12 - 2*p - 24*p**2 + s - 20 + p**3 + 4*p. Is t(24) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 24 + -3 + 4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-15) + ((-1786807)\/(-165) - -11). Let u = 17803 + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -601 + 625. Solve -3*y - 15 = -i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -21 - (0 + -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let l(d) = 508*d. Calculate l(f(w)).\nAnswer: -1016*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 4*l. Let o(y) = -23*y**2 - 23*y. Let n be 580\/17 + (-15)\/((-1530)\/(-12)). What is n*x(m) - 6*o(m)?\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 6, 9, 16?\n\"Answer: 2*k**2 - 7*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, 4*i + 9*p - 360 = 13*p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91259.\nAnswer: 7, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 115452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1515\/7, -7.788, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29765666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153968.\nAnswer: 2, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138372 by -13.\nAnswer: -10644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*z**4 + 142*z**3 - 59867*z**2 wrt z.\nAnswer: -2736*z + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*g = -567*g + 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let c(v) = v - 1 - 24 + 21 - 2. Give -c(n) + 4*m(n).\nAnswer: -5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1. Let a(t) be the second derivative of 2*t**2 + 0 + 3*t - 1\/3*t**3. What is -a(n) - 4*r(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-8))\/3)\/(84\/(-112))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 + 0)*(-2*j + 2*j + 2*j) + 145*j + 153*j - 256*j)*(2 + 0 - 1) to the form r + x*j and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 4*r**2 - 5*r - 4. Suppose -2*z - 2*n - 11 = -n, 14 = -2*z - 4*n. Calculate s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4673*y. Let c(h) = -6*h**2 - 78. Let w(d) = d**2 + 12. Let x(i) = 2*c(i) + 13*w(i). Calculate l(x(p)).\nAnswer: -4673*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 234.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, t: 2}. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59173753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/6)\/(9\/12). Suppose d - 3503 = -q*k + 3060, -3*d = -4*k - 19689. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3533, 7352, 11191, 15050, 18929, 22828, 26747?\n\"Answer: 10*s**2 + 3789*s - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**3 + m + 16 + 12*m**3 + 66*m**3 wrt m?\nAnswer: 540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 24*m + 3. Let g be z(12). Suppose 0 = -v - g*v + 220. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2209 divided by -55?\nAnswer: 2209\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5491791?\nAnswer: 3, 610199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/3 + 2*u**2 - 14*u + 4. Let h(b) = -b. Calculate -3*h(d) + o(d).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 1729 = 55*c. Let v = 252 - c. Solve -n + 2 - v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 - -135. Solve 0 = -m*h + 9 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2282 by 2.\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174474*a + 174451*a - 348924*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u + f, -1971*u + 4*f + 6 = -1968*u. Let i(z) = -4*z**2 - 6*z + 9. Give i(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 447.\nAnswer: -2\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.601 + 23. Round b to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 113, 140, 163, 182, 197?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(65)*-3)\/sqrt(5) - -3*sqrt(13)*-6))**2.\nAnswer: 206388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 1176567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z - 7. Let p be (-3)\/2*120\/(-45). Let q be f(p). Calculate the highest common divisor of q and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*o - 12810 - 12030 = -88*o for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6100 and 8596120.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309966 and 16302?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*n = -1 - 1, -4*l - 5*n - 29 = 0. Let o be 1 + 1 - (l + 3). Suppose 5 = -i, -1 - 20 = 4*p + o*i. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64100 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b288 + -27?\nAnswer: 17b261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15915 + -0.5.\nAnswer: 15914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -7255.8.\nAnswer: -7258.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18.2 times -0.1\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -405784 + 75070702\/185. Let t = 4\/185 + q. Factor t*m**2 + 8\/5 + 24\/5*m.\nAnswer: 2*(3*m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.71 and -0.2.\nAnswer: -0.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416 - 412. Suppose 0 = 4*j - 4*f + 121 - 29, -j = -4*f + 14. Let l = j - -48. Solve -3*c + l = v*m, 5*m = c + 19 - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83986 + -246295\/3. Let p = o + -1872. What is the common denominator of (-366)\/(-30) + (-2)\/(-5) and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 67*k**2 + 133*k + 21. Let l(i) = -66*i**2 - 133*i - 17. Let o(j) = 5*l(j) + 4*y(j). Find the second derivative of o(x) wrt x.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 173, 146, 85, -22, -187, -422?\n\"Answer: -2*o**3 - 5*o**2 + 2*o + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2521 (base 10) to base 16.\nAnswer: -9d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (34\/68)\/(15\/10). Put -0.5, 0.9, w, 3, -5\/2 in decreasing order.\nAnswer: 3, 0.9, w, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195 - -170811.\nAnswer: 170616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 23*o**2 + 206*o + 75. Calculate z(30).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n**5)**(-9\/2) assuming n is positive.\nAnswer: n**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 1. Let x be t(1). Let q = 8 - x. Suppose -2*b = 3*c - 20, -q*c = -0*c - 4*b - 14. Is 1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 69*g + 15. Let k be s(2). Let m be 1 + -1 + (22\/1 - -5). What is the greatest common divisor of m and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 6*q + 5. Let m be (-1 - -6)*(5 - 6). Let u be w(m). Solve t + t = u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4342257*w**2. Let c(z) = z**2. Determine c(k(t)).\nAnswer: 18855195854049*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 891 and 114?\nAnswer: 33858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/11 + -316\/99. What is the common denominator of (99\/21)\/((-4)\/21) and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25200001*c**3 + c**2 + 2*c. Let w be y(-1). Round w to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 16. Let b(g) be the second derivative of g**3\/3 + 5*g**2\/2 - 6*g. Let a be b(-5). Put a, f, 2 in descending order.\nAnswer: 2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 116, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000415826501 rounded to 6 decimal places?\nAnswer: -0.000416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8044, -18422, -31138, -46192, -63584, -83314?\nAnswer: -105382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*6*6\/(-96)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96588 and 32196.\nAnswer: 96588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 5 - (-3)\/((-6)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/8 + 1779*c\/8 - 1773\/4.\nAnswer: -3*(c - 591)*(c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678441 take away -2.718?\nAnswer: -1678438.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2, 0, 3, -80 in increasing order.\nAnswer: -80, -4, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1199880 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3995.4 - 4348. Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**2 - 268*a - 176 = 0.\nAnswer: -44, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 2080?\nAnswer: -2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + 3. Let u = 6 - 6.04. What is the third biggest value in u, -2\/11, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13931\/9 + 9323\/6. Calculate the common denominator of 41\/14 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -392 = -391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2761 + -0.3761. Sort u, 7, -9.5 in ascending order.\nAnswer: -9.5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 21, 32, 47?\n\"Answer: 2*u**2 + u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + (-1 - -4) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 5, e: 2, p: 10, f: 1}. Give prob of picking 4 g.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -656310 - -656310. Determine u, given that k*u - 7\/8*u**4 + 0 + 2*u**2 + u**3 + 1\/8*u**5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -151*n**2 - 2. Determine h(1).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -109. Let i = g - -57\/2. Let y = -1.1 - -0.1. Put i, -3, y, 4 in ascending order.\nAnswer: -3, y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 26 = 4*z, 17 = 5*z - 3*n - 14. What is the hundreds digit of -3*z\/((-45)\/318)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26\/3, -0.3, -4, -2\/3, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*-1 - -4 - -3. Let v be 0\/(2 + q) + 20. Suppose -10*x = -8*x - v. Solve -4*f = 6 + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509617.\nAnswer: 29, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 14. Suppose 34*o = 27*o + 147. Calculate the greatest common divisor of b and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268109 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771*j**3 + 52*j**2 - 3*j**4 + 675*j**3 + 5*j**4 + 286*j**2 wrt j.\nAnswer: 48*j - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0 + 0 + 1. Let p(s) = 2*s**3 + 2. Determine 3*m(o) - p(o).\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-50 + -27 + 104).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -159*i**8\/112 + i**7\/105 - 35*i**4\/2 + 3005*i**2. Find the second derivative of r(n) wrt n.\nAnswer: -9540*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 0 - 146*w**2 + 5*w + 6 + 0 + 277*w**2 + 12*w**3 - 127*w**2. Let d(z) = 13*z**3 + 5*z**2 + 6*z + 7. Determine -5*d(n) + 6*t(n).\nAnswer: 7*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 937 and 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4892.253l in millilitres?\nAnswer: 4892253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 683298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:22 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24*v - 595 = -659, -10 = m - 4*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476099967.\nAnswer: 13, 1951, 215909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:30 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -61 - (-8 - 26)) + -10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 2, d: 1, c: 2, n: 5, p: 2}. Give prob of sequence mcd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 11 + 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 474 = 60*l. Let p be (-4)\/(-2)*(-45)\/(-18). Suppose -3 = -6*o + p*o. Solve -3*x + 17 = -5*f + 1, -o*f - l = -3*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -199*l**2. Let c(b) be the first derivative of -4*b**3\/3 + 403. What is y(c(p))?\nAnswer: -3184*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7139 - -9895. What is the highest common divisor of 156 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4. Let y(q) = -2*q**2 + 3. Suppose 0 = -4*h + m - 22 + 1, 3 = -2*h - m. What is h*y(s) + 3*f(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 + 2*d - 14. Let i be h(7). Let t = 32 - 22. Solve -4*q + 9*q - t = i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/62 - 20*6466\/(-245830)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 17*q - 55. Let c(r) = -3*r - 1. Let d be c(-3). Let j be z(d). Let t = j + 90. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4417815, 4417812, 4417809?\n\"Answer: -3*g + 4417818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let u(c) be the second derivative of -3*c**4\/4 - 3*c**3 - 27*c. Let y(k) = -k**2 - k. Let p(a) = u(a) - 18*y(a). Calculate p(v(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(3\/(156\/(-8))). Let h = m + -12. Sort -1, h, 5 in descending order.\nAnswer: 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 7. Let w be l(6). Let g be (-252)\/49*(-14)\/3. Suppose -14 + g = 5*b. Solve -3*z + b = -w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 47. Factor -5*d**3 - 1 - 2*d**5 + 4*d**2 - o + 13*d**3 - 6*d.\nAnswer: -2*(d - 2)*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:27 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*c + 11714 = 5760 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 - 1 - 2*u**3 + 3*u**4 + 14*u**2 + 0*u**4 - 6*u**2 + 2*u to s*u + a*u**2 + p + c*u**3 + v*u**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22323033 (base 4) to base 8.\nAnswer: 127317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 11*m - 32. Let v(d) = -5*d**2 + 56*d - 161. Let g(n) = -11*a(n) + 2*v(n). Calculate the remainder when g(5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t**5 + 1708*t**4 + 12472*t**3 + 23028*t**2 - 29680*t - 7600 = 0. What is t?\nAnswer: -10, -19\/2, -5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Suppose -3*i + 4*m - 10 = 0, -2*i + a*m - 2 = 6. Let r(q) = 2*q**2 + 3*q**2 - 4*q**i - 3*q**2. Let f(u) = -u**2. Determine f(r(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 28*n = v - 52, 0 = 5*v - 2*n - 278. Calculate the remainder when 245 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920772034 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, 4 in descending order.\nAnswer: 30, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11222?\nAnswer: -11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (sqrt(208) + -4*sqrt(208) + 5 + 2 + (sqrt(208) - (sqrt(208) - (sqrt(208) - (-1 + sqrt(208))))))*2)**2.\nAnswer: -576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 5*z**2 + 2*z + 10. Suppose -2*k - 3*b + 9 = -29, 0 = 2*k - 5*b - 54. Calculate the lowest common multiple of k and d(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**2*q**4 - m**2*q**2 - 2*m*q**5 - 2*m*q**3 + 138*q**2 wrt q?\nAnswer: 192*m**2*q - 120*m*q**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147461 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18681? (a) -3 (b) -5 (c) -7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640773 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q + 222 = 402. Which is the nearest to 0.1? (a) -0.5 (b) 1 (c) 2\/13 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -8 - 4\/(-32)*-23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 + 5*y + 10. What is the remainder when i(-5) is divided by 13 + (0 - 2) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24078 + 24336. Calculate the remainder when q is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - -160.88. Let v = t - 161.000218. Round v to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w - 2 + 14 = 0, -2 = w. Let i(y) = -19*y - 5*y**3 + 9*y**2 + 6*y**3 + t*y - 11. Is i(-10) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -689*i - 6719 - 2238 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34 from 7961628283.\nAnswer: 7961628317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943743233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 39900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 + -1) + 5. Suppose 13 + 11 = w*k. Suppose 0 = -6*p + 3*p + k. Solve 0 = -4*s + p*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 37. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(4 + 41 + 76).\nAnswer: -121*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86618 and 222732?\nAnswer: 1559124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2, 1\/9, -2\/37, 4.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304\/36731 + -28575011\/66776958. Let r = z - -420\/101. Find the common denominator of r and -149\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a + 1. Let h = 165 + -171. Determine p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10372, 20731, 31102, 41491, 51904, 62347, 72826, 83347?\nAnswer: 93916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886*z**3 + 9*z - 7*z - 7*z + 18*z - 427*z**3 - 452*z**3.\nAnswer: 7*z**3 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 42. Let f = c + 25. Solve f*q - 1 = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 559, 2138, 4757, 8404, 13067, 18734, 25393?\n\"Answer: -2*u**3 + 532*u**2 - 3*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373522812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**7\/147 + 38*p**6\/105 - 26*p**5\/35 - 676*p**4\/3 + 4*p - 147. Factor d(c).\nAnswer: 2*c**2*(c - 14)*(c + 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1827 + 4170. What are the prime factors of l?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:27 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18218 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (1 - 0 - 4). Suppose -5*f + 31 + z = 0. What is the lowest common multiple of 4 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x - 49777 = -1831*x + 32961 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1053)*-4 - ((sqrt(104)*1)\/sqrt(8) + sqrt(13) + 5))**2.\nAnswer: 2180*sqrt(13) + 617837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 17 = 6*u - 3*n, 0 = -5*u + n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4900*r**5 - 59640*r**4 - 186516*r**3 - 187472*r**2 - 28176*r - 1152 = 0?\nAnswer: -8, -2, -3\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -2\/9, -3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 6*k)*(2 - 4 + 3) + (184 - 284 + 227)*(k + 0*k + 2*k) as n + h*k and give h.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-15)*(1 - 24\/6). Suppose -13*q + 12*q = w. What is the nearest to q in 9\/4, 3, 1\/7, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007581 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62c8 + -31?\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 times 464?\nAnswer: 134.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6)\/(3\/(-126)). Suppose 0 = 5*m - m - n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y + 2*y**3 - 14*y**2 + 12*y**2 - y**4 - y**3 in the form z*y**3 + k + o*y**2 + m*y + g*y**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 12 = 9*g. Suppose -g*o + 16 = o - 2*m, -o + 5*m = -13. Let w(h) = -9 + 2*h + 0 - 2 + o. Calculate w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 + 2*s - 4. Let r be b(4). Let -6*p + 0*p + 3*p**2 + p**3 + p**3 + r*p**3 - 3*p**4 = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120594537 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k + 138. Let l be o(24). Let g(z) = z**3 + 5*z**2 - 8*z - 13. Give g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-47 + 75 - 32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*x + 805*x + 44 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 416\/(-64)*(-12)\/13. Suppose c = -1197*h + 1191*h. Let f(a) = -7*a**2 - 2*a - 1. What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 - 3785*d**3 - 40106*d**2?\nAnswer: 48*d - 22710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 16082619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8789093 to the power of 1\/2, to the nearest integer?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose -4*w + 14 - m = 0. Let n be (48\/10)\/(w\/10). Solve 5*x - 3*x - 2*b = -4, n = -3*x + 5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - (2 + 0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 28*c - 32. Let p be o(-29). Let m(r) be the first derivative of 9*r**3 + 2*r**2 + 2*r + 1. Is m(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*b = -8*b - 224, -3*b + 144 = 3*g. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 16, a: 4}. Give prob of sequence aaai.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.900467 to 2 decimal places.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 132 = 132. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/7, -15\/52, -0.18, -0.3?\nAnswer: -15\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g + 166800000. Round g to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 6684420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8608 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/2 - 238*m**3\/3 + 234*m**2 - 1941. Determine y so that d(y) = 0.\nAnswer: 0, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*t - 33*t = 2031 + 9769 + 4789 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = 23*d - 1916 - 6013. Calculate the lowest common multiple of d and 552.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 335*(-2 + 26\/10). Suppose 3*m - 13 = 2*v, 3*v - 4*v = -5*m + 10. What are the prime factors of m*i\/15 + (-4)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(600) + sqrt(600))*1)\/(sqrt(392)*3 + (-2*sqrt(88))\/sqrt(11))*-3.\nAnswer: 75*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1918*k**2 - 1925*k**2 - 11*k**3 + 19*k**3 - 2*k + 9*k**3 - 1 in the form z*k**3 + s*k**2 + a*k + c and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606893367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 5258. Let p(c) = 3*c**2. Give x(p(y)).\nAnswer: 9*y**2 + 5258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:31 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Suppose 4*n - 60 = -20. What is the smallest common multiple of (-39)\/(-9) - 2\/i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2095667 and 1162.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3546)\/(-108) - 19)\/(84\/(1 - -1)) and -107\/288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*k**3 - 190*k**3 + 130*k**3.\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2\/5 (c) 1\/2 (d) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148407839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {o: 1, a: 5, f: 1, d: 2, b: 4, t: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 3*v - 352. What is the remainder when v is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 3, j: 1, x: 5}. Give prob of sequence xh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 0 - (1 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -28. List the prime factors of ((-225)\/i - 4) + 2.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + r**2 - 2*r + 162. Let v be c(0). Calculate the greatest common factor of 81 and v.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**3 + 1623*y**2 + 1845*y - 8667.\nAnswer: 3*(y + 3)*(y + 107)*(5*y - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(420)*-4)\/sqrt(10))\/((4*sqrt(288))\/sqrt(12)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Suppose 0*h = -4*b - h + 65, -h = 3*b - 49. Let q = b + k. Solve -5*f - 5*y + q = 0, 2*y = 4 + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 divided by 4?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x + 2. Let m(t) = -2*t**2 + 7*t + 4. Calculate -5*l(i) + m(i).\nAnswer: 3*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from zggzzzzzzgzzzzzggz.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 2092*y**3 + 1056557*y**2 + 3196918*y - 4251384 = 0. Calculate y.\nAnswer: -4, 1, 862, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12576, 50095, 112550, 199941, 312268, 449531, 611730?\nAnswer: 798865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -14*d. Suppose 64 = 6*a - 8. Suppose 4*c + a = 7*c. Let q(y) = -y**2 + 3*y**2 - c*y**2. Determine t(q(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 83.1+-0.00579\nAnswer: 83.09421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 18}. Give prob of picking 2 h.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p - p + 455 = 64*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -1.59. Let o = 0.41 + v. Which is the closest to 1? (a) o (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*q**2 + 221*q wrt q?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 22019, -2\/7, -3\/11, 3, -4\/7?\nAnswer: 22019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235228, 235247, 235284, 235345, 235436, 235563?\nAnswer: 235732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 - 9*a - 2. Let g(x) = -10*x**2 + 13*x + 3. Determine 5*g(i) + 7*h(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 15. Calculate f(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + h - 85 = 0, 58 = 4*n - 3*h + 9. Let k(i) = 234*i**2 + 13*i - 15. Let p be k(1). Calculate the highest common factor of n and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 2, z: 1, i: 5, x: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 23*i - 24*i + 2 in the form x + v*i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 27*w + 35. Let g(c) = -3*c**2 + 40*c - 52. Give 5*g(a) + 7*r(a).\nAnswer: -a**2 + 11*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(684) + 1 + 2 + sqrt(684) + sqrt(684)*1)*1)**2 - 3*(-1*-5*sqrt(684) + sqrt(684))**2*-5.\nAnswer: 72*sqrt(19) + 375520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 37. Suppose 47 = 4*t + y, -5*y = -3*t - 10*y + j. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*y**4 - 7*y**4 - 49*y**3 - 6*y**4 - 4*y**4 + y + 1 - 14*y**4 - 2*y**2 to the form n + d*y**4 + i*y**3 + f*y**2 + b*y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (12 + -22)) + 4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((533\/82)\/(1\/2))\/(3\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07363 and 0.5.\nAnswer: 0.42637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t - 52*t - 11 - 81*t + 11.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 2106.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 4 (c) 4\/7 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-442)*-93 + 22.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.92 * -1958\nAnswer: -3759.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 15. Let p(j) = 7*j**4 - 3*j**3 - 3*j + 9. Let y(q) = -q**4 + q**3 + q. Let h(d) = g*y(d) - p(d). What is the derivative of h(o) wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25*a**2 + 10*a + 22. Let q = 294 + -299. What is the units digit of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + n - 8. Let w be d(-4). Suppose w - 12 = 4*a. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 7*z + (6 - 2 - 3)*(-2 + z + 2))*(-11 - 2 + 0).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 33316?\nAnswer: 33316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 - b - 1. Let i(y) = -60*y**3 - 90*y**2 - 90*y - 90. Give -i(k) + 90*t(k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**26)**(1\/20))**(2\/7) assuming z is positive.\nAnswer: z**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -597*r**3\/5 + 296*r**2 + 1244*r\/5 - 3632\/5.\nAnswer: -(r - 2)**2*(597*r + 908)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 11 + 2*q - 10*q + 30 - 8*q.\nAnswer: -16*q - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65015245 is divided by 2241905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*s + 8 = 0, -12*s + 740 - 692 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 2*z + 2. Let d(c) = 2*c + 1. Let n(i) = -3*d(i) + 2*w(i). Let v be 38\/18 - (-112)\/(-1008). Determine n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 757613432881 - 757635027787.00107. Let b = -21594808 - j. Let l = b - 98. Round l to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -763*l**3 + 3811*l**2\/2 - 758*l - 2 = 0. Calculate l.\nAnswer: -2\/763, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*k + 3. Let q = 0.18 - 0.08. What is the closest to 1\/3 in k, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*f**3 + 225*f**2 - 320*f - 300.\nAnswer: 5*(f + 6)*(3*f - 5)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**5*s - 105759*q**4*s + 7*q**2*s - 94*q*s - 52 wrt q.\nAnswer: -240*q**2*s - 2538216*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*h = -9, 0 = -4*l - h + 26 + 49. Is (9\/l)\/(3\/4326) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16254500 and -28\/7314525.\nAnswer: 146290500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let k(r) = -3*r**3 - 2*r**2 - 2*r. Suppose -20 = 2*l - 4*i + 72, -5*i + 10 = 0. Let t be (-26)\/l*-3 + (-1)\/7. Determine t*b(c) - k(c).\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28873710 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 41*j + 17. Is d(3) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -120?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * -20.5.\nAnswer: -1.1685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 + 14)*2\/10*-1. Let i(t) = t**2 + 3*t. Let z be i(-3). Suppose 5*g - 16 + 7 = -l, 4*g - 5*l + 16 = z. Put g, p, 1\/3 in descending order.\nAnswer: g, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 50 + 29*m**2)*(-2*m**2 + 3*m - 3*m)*(m + 3*m - 6*m).\nAnswer: 116*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3217 and -4.\nAnswer: -12868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54*(-1)\/32*-4)\/(((-552)\/96)\/(-23))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2. Let l(u) = -152*u. Determine l(h(o)).\nAnswer: -1064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/96 - 3*h**5\/16 - 5*h**4\/4 - 10*h**3\/3 + 2*h**2 - 146*h. Determine d, given that j(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.55328 nanometers to meters.\nAnswer: 0.00000006655328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220101201110 - 12?\nAnswer: 10220101201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/6)*i)**(-37))**(-18\/7))**(-6\/17) assuming i is positive.\nAnswer: i**(-3330\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -q, -5*l - 21 = -3*q - q. Let x be l*-2*2\/2. Suppose x*f - 40 = -3*f. Calculate the lowest common multiple of f and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*p + 136*p + 20. Let x = 3 + -5. Let b = -1 - 0. Sort x, b, p in increasing order.\nAnswer: x, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1220 and 41\/273160.\nAnswer: 16662760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8*r - 144. What is the second derivative of 5*l - r*l + 15*l**4 + 9*l**4 - 9*l wrt l?\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50122068.\nAnswer: 2, 3, 347, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiieeeebeieebee. Give prob of picking 2 i, 1 e, and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w + 66*w - 3*w + 58*w - 8*w as u*w + m and give u.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -21*v**2 + 4*v**2 - 8*v - 11*v**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 232112*u**3 - 3363300568*u**2 + 114553539024*u - 974275598916.\nAnswer: -4*(u - 17)**2*(u + 29031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -69*u**2 - 2*u + 7. Let m be k(3). Let d = m + 950. What is the highest common divisor of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:26 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77987, 77986, 77985?\nAnswer: 77984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqnqqtnsqq. Give prob of sequence snn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - -738. Find the common denominator of f\/(-84)*(-14)\/(-6) and 47\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8232)\/(-36) + -2*1\/(-6)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 18\/17, 5, -293?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2\/3, 4661, 3 in descending order.\nAnswer: 4661, 3, 2\/15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:45 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47386*l**2 + 17687 wrt l.\nAnswer: 94772*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64886, -129698, -194508, -259316, -324122?\nAnswer: -388926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 2454253?\nAnswer: -2454230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**2. Let x(r) = 370930*r**2. Determine x(p(h)).\nAnswer: 30045330*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Suppose p - 3 = n. Let l(d) = 3*d**2 + 24*d + 22. Let g be l(-7). Solve -p*t - g = 4*s - t, 4*t = -3*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:36 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**5\/11 + 8*u**4\/11 - 2*u**3\/11.\nAnswer: -2*u**3*(u - 1)*(3*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388996 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3648 by 12.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.082 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2363? (a) 2 (b) 6\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116*d**2 + 237*d**2 + 73*d**2)*(-2 + 1 + 0) to k + n*d + b*d**2 and give b.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6)\/(165\/198). Let u be 2332\/462 - t\/7. Solve 12*k**3 + 2\/3*k**5 + u*k - 14\/3*k**4 + 0 - 40\/3*k**2 = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 3. Let m be r(1). Let t(u) = u**2 + 4*u - 5. Let x(q) = -2*q + 2. Let p(d) = 2*t(d) + 5*x(d). What is p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -7*j**3\/2 - 5*j**2\/2 - 20*j. Find the first derivative of a(t) wrt t.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -36. What is the smallest common multiple of 216 and -1*6\/2 + 64\/h?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (9 - 3) - (-31 + -25 + 47).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 2 x when four letters picked without replacement from {i: 1, r: 3, x: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/27)\/(u*u\/(u*u**(2\/13)))*(u\/(u*u*u**(-2\/7)*u))**(-25) assuming u is positive.\nAnswer: u**(103039\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1010?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95212 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9918 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*p - 762 + 2020, 4*p = 4. Suppose 0 = -19*g + 38 + k. Suppose 5*l + 15 = -0*l, 61 = a + 3*l. Calculate the remainder when a is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrhhrr. What is prob of sequence rh?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64075580 and 82050.\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -89*t**2. Let v(a) = -184*a + 184*a - 8*a**2 + 25*a**2 - 15*a**2. Determine g(v(c)).\nAnswer: -356*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6064 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89a9 (base 14) to base 7.\nAnswer: -126402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20398?\nAnswer: 2, 7, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.308384091 rounded to five dps?\nAnswer: 0.30838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64\/(-6)*9\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 46 = -14. Let f(p) = 2*p - 8. Let s be f(9). Suppose -x*o - 3*k = -15, 0 = -o - k + 3*k - s. Sort -2, -4, o, -1 in decreasing order.\nAnswer: o, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -114.9. Let a = 4.5 + o. What is the nearest to 1\/2 in 4, 2\/13, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 94. Let s be (1 - d)*12\/(-1*3). Which is the biggest value? (a) 1\/5 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -277, -424, -571, -718, -865?\n\"Answer: -147*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-5))\/(((-6)\/(-204))\/(1292\/(-32946)))?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -42. Let g = 25 + q. Let f be (6\/45)\/(2\/(-12)). What is the third biggest value in g, f, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybhy when four letters picked without replacement from {y: 4, h: 6, b: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 11154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 137 - 82 - 5*p**2 + 2*p)*(p + 5*p - 4*p) + 0*p**3 + 2*p**3 + 0*p**3 + (2 + 0 + 0)*(18*p - 8*p**3 - 18*p) + 5*p**3 + 0*p**3 - 3*p**3.\nAnswer: -22*p**3 + 4*p**2 - 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/14, 2\/3, 1\/4 in descending order.\nAnswer: 17, 2\/3, 1\/4, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4850898.\nAnswer: 2, 3, 13, 62191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474 + 1474 - 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 - 69 = 0. Let t(v) = -v**2 - 13*v + 11. Let a be t(-10). Does i = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30302 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*h + 0*h = 7, -4*w + h + 11 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 72 = 0. Let n be o\/(-14) - 4\/(-14). Let f(p) = -4 + 3 - p + 2. Give f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - -667. Suppose 2*q + 718 = -j, l = -5*j - 5*q - 2806. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -86*w**6\/15 + 2*w**4\/3 - 64*w + 221. Let y(n) be the first derivative of p(n). What is the third derivative of y(c) wrt c?\nAnswer: -4128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, s: 1, x: 1, q: 2, z: 2}. Give prob of picking 1 k, 1 q, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 49911.672351?\nAnswer: 49910.672351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*n - 5*w + 37, 0 = -4*n - 4*w + 36. Suppose 82 + 53 = n*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**5\/50 + h**4\/20 - h**2\/10 - h\/10 - 2. Solve n(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*k - 79 - 168, 0 = -s - 2*k + 55. Suppose -s = -4*a + 1. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087971828?\nAnswer: 2, 3, 37, 2450387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 12) to base 5.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*v - 23*m = 113*v + 28, -3*m + m = -8*v + 52 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000110111011 (base 2) in base 12?\nAnswer: -744b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -318\nAnswer: -5\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 9*k + 12. Let v(f) = -2*f**2 + f**2 + 0*f - 6*f. What are the prime factors of v(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5301 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -939322, -939177, -939026, -938869, -938706?\n\"Answer: 3*q**2 + 136*q - 939461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 544\/3 + -3275\/18. Let v be ((-540)\/(-4455))\/((-4)\/(-291)). Let l = v + -531\/44. Calculate the common denominator of l and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -1786, -1800, -1818, -1840, -1866, -1896?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.344.\nAnswer: -4.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-40 - 20 - 8)*(38*r**2 - 75*r**2 - 11*r**2).\nAnswer: 3264*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2965, -2963, -2961, -2959, -2957?\n\"Answer: 2*u - 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29263 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2642239997.\nAnswer: 19, 139065263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8625 = -v - w, 105*v - w = 110*v - 43137. What is the remainder when v is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10752*t*z**2 + 3396*t*z - 2*t - 3*z + 2 wrt z.\nAnswer: -21504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64176 + 25634. Let t = m - -25322. Round t to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 696 (b) 5 (c) -1\/209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9153 = c - 847. Let v be (c\/6)\/((-11)\/17160). What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -8, -47, -128, -263, -464?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22*y - 18*y + 4 + 14*y. Suppose -4*c - 10 = c. Does 20 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1004?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 178737.28 to the nearest one hundred.\nAnswer: 178700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 3 - 2*r**3 - 2*r**3 + 14126*r - 15*r**2 - 14131*r in the form u*r + x*r**4 + v*r**2 + k*r**3 + m and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3437864 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 10*i**3 - 45*i**3 + 53 + 54 + 51 - 157 as v*i**3 + s*i + d + j*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 9, -w + 4*w + 4*x = 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2265158613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 1862*v**3 + 476111*v**2 - 3915422*v + 3437448 = 0.\nAnswer: -1554, -316, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8921 * -275.\nAnswer: 1070.3275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90820 and 36328?\nAnswer: 181640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8682, 13056, 20324, 30468, 43470, 59312, 77976, 99444?\nAnswer: 123698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 619 = 3*g. Let u = g + -403. What are the prime factors of (-8075)\/u + 1\/(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(99)*-5 - sqrt(99) - sqrt(99))**2 - sqrt(99)) + sqrt(99)*-1*-3.\nAnswer: 6*sqrt(11) + 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-138)\/(-92) - (-13)\/(-2) - -5. Solve -14*b - 4*b + 90 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319.4 + 464. What is q rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 36*a**3 - 141 + 142.\nAnswer: 40*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 139161255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-63))\/5 - 10\/(-35)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569591.5 decades to years.\nAnswer: 5695915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3 = -5*y, 5*f + 3*y - 612 = -606 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 49 = -2*m, -3*m - 51 = 2*t + t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 465 - -6\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 2.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 10 = 5*r, 13*r - 4 = 11*r + 3*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20211222221 (base 3) to base 13\nAnswer: -49501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 75111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 0.4 (c) -14\/17 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 126.\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-36)*6 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/89 + 93\/178. Let m be 2\/(-18)*-1 - 255\/(-135). Which is the nearest to i? (a) 3 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 367024438*s**5 - 516744807*s**2 wrt s.\nAnswer: 22021466280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126746786 - -2?\nAnswer: -126746784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 24. Suppose -5*o - 16 + 106 = y, 0 = 2*o + 4*y - 54. Let t = -5 + o. Calculate the remainder when a is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/20 - v**4\/4 + v**3\/6 - 7*v**2\/2 - 2*v - 15. Let b be l(-4). Put -4, b, -3, -11 in decreasing order.\nAnswer: b, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 454 - -340092?\nAnswer: 340546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/12 + 399*h**2 + 1. Let k(x) = 21*x - 6. Let o(i) = 190*i - 55. Let w(t) = 55*k(t) - 6*o(t). What is j(w(b))?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 305514?\nAnswer: 2749626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221210 (base 3) in base 7?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 5. Suppose 5*l + 75 - 95 = 0. Let k(q) = 2*q + 6. Determine l*v(a) - 3*k(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 6*u - u + 6*u + 14)*(19*u**2 + 2*u**2 + 19*u**2)*(7*u**2 + 9*u - 9*u).\nAnswer: -280*u**5 + 7840*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**4 - 60*h**3 + 29*h**2 + 52*h - 28.\nAnswer: -(h + 1)*(h + 7)*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 574 = -17*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 - 262*t**2 + 3735*t + 58. What is r(21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1385, 1392, 1411, 1448, 1509, 1600, 1727?\n\"Answer: k**3 + 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -448)*21\/42. Calculate the greatest common divisor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.9597ml in litres?\nAnswer: 0.0789597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4592)\/33292*(1\/(-2) - 0\/2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4007*n**3 + 7*n + 3851*n**3 - 2*n**2 + 3513 - 7*n wrt n?\nAnswer: -468*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(76)\/sqrt(4)) + -5 + (sqrt(931) + 1 + sqrt(931))**2.\nAnswer: 28*sqrt(19) + 3720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 132, 186, 240, 294?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/9147550 and 137\/6.\nAnswer: 27442650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -55.037. Let j = -6.8 + 6.737. Let q = y + j. Which is the second biggest value? (a) q (b) -2\/13 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d386 (base 16) in base 5?\nAnswer: 3213100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 452232166?\nAnswer: 452232162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-26*q**4 + 14*q**4 - 43*q**3 + 13*q**4).\nAnswer: -2*q**4 + 86*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2459450, -2459451, -2459452, -2459453?\n\"Answer: -g - 2459449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2209 + 2195 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(2\/(-2))\/1*(-282)\/(-987)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1177, 2385, 3663, 5047, 6573?\nAnswer: 8277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2*a + 4. Let c be w(3). Let p = c + 0. Let g(o) = 3*o - 6 + 2*o**2 + o**3 - 8*o - 8*o**2. Give g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) -9 (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t - 3. Let p(l) = 2*l**2 - 5*l - 7. Let w(q) = -3*p(q) + 5*v(q). What is the lowest common multiple of w(0) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {m: 2, k: 1, f: 1, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6771 and -454208?\nAnswer: 447437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-3 + 2 + -1). Let d be (43 - -2)*c\/5. Solve -5*l + d = -3*g, -g - 4*g = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.01. Is x equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/46 + 34\/391?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -3. Let r = 0.1 + k. Let n = 0.34 - 0.04. Which is the nearest to 3\/7? (a) r (b) n (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2092197\nAnswer: -2092197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (52\/130)\/(3\/(-225)*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/154 - (58\/(-7) + 8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Let u be 3\/((-3)\/2 + o). Solve -2*z - 4 - u = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -158. Let l = i - -213. What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*f - 5*f. Suppose f*p + 35 = 14*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:00 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 1. What is the lowest common multiple of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278146996 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286717 and 16789?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11180 by 559.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 11. Let s be z(-5). Suppose -8 = -2*x + 4*x. Is s > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131327 (base 11) to base 7.\nAnswer: -1520421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**11\/g)*g*g)\/g**(5\/8) assuming g is positive.\nAnswer: g**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 389*r**4 - 17*r - 387*r**4)*(0 - 1 + 0).\nAnswer: -2*r**4 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 7 = 9*o - 10*o, 2*j + 5*o - 11 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195694039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.544155 millilitres?\nAnswer: 0.001544155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 2. Let k be h(4). Let r = 28 - k. Suppose r*s = 2*s + 24. Solve 5*a + 14 + s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 215. Calculate a(27).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.6 - -4.7. Let i = -3.2 - -3. Let t = i - o. Which is the smallest value? (a) t (b) -1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 13 + 12, 3*v - 16 = 2*h. Solve 4*f + 8 = 3*t, -3*f - v*f - 10 = t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -2*i + 3208. Suppose -i = -4*r - 18. Suppose -2*w + r = -107. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(-4)\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 7*y**2 + 2*y + 9. Let q be b(7). Suppose 0 = -5*u + q - 8. Suppose u*f - 270 = -3*x, x - 26 = -5*f + 76. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-65) + (1662\/5 - 2). Calculate the greatest common factor of 30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14 + 6 = 0. Suppose 0 = -3*q - j*f + 80, 80 = 2*q + 4*f - 6*f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthtttththttttt. What is prob of picking 3 t?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 2. Let b(p) = -p**3 + 12*p**2 - 9*p - 12. Let j be b(11). Calculate the remainder when 15\/j*(-40)\/(-3) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*y = 107*y + 177355. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1)*l)**(11\/3)*(l\/(l*l\/(l*l**(4\/5)\/l)))\/(l\/l**(-1)*l)*(l**1\/l*l)\/l**(-6\/11)*(l*l\/l**(3\/5)*l*l)\/l**8 assuming l is positive.\nAnswer: l**(261\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 186538757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g + 6. Let i = -2 - g. Let s be i*1\/(-2)*2. Which is smaller: 1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -16 - (-32 + 13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26859558 divided by 11?\nAnswer: 2441778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1))\/b**(12\/11))\/(b*b\/b**4)**11)**(1\/19) assuming b is positive.\nAnswer: b**(230\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25821 and 35397.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 19, t: 1}. Give prob of sequence te.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.159, -849 in increasing order.\nAnswer: -849, -0.159, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 14*h**2 + 9*h**2 - 121*h + 191*h + 771*h to t + a*h + m*h**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmwwww. Give prob of sequence wm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/279)\/(-5)*(-105)\/35?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 10*o. Suppose 3*b = b + 3*u - 11, 2*u = -3*b - 36. Let a(w) = -w. Let y(f) = b*a(f) - p(f). Factor y(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50261, -50225, -50189, -50153?\n\"Answer: 36*z - 50297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45562588 is divided by 4104.\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 7*d**2 + d - 2. Calculate the least common multiple of 7 and p(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/11 (b) 0.2 (c) -2\/3 (d) 6163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4 - 8) + 3 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232*2\/48)\/((-1)\/(0\/(-4) - -3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-30))\/(9\/5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:47 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 43*i + 8 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -70. Let f(h) = 2*h**2 - 10*h + 4. Let r be f(7). Let o = l - r. Solve -o - 2 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*z = -15, 50*z - 52*z + 18 = 0. Which is the nearest to f? (a) 6\/13 (b) -5 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 251.866 days?\nAnswer: 21761222400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otrtqttooov. What is prob of sequence voq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 - 19*t + 4. Suppose -52 = 5*j + 13. Let l(r) = 5*r**2 - 9*r + 2. Suppose -27*q + 79 = -83. Give j*l(y) + q*b(y).\nAnswer: y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/38 - 67\/494. What is the nearest to 0.1 in 1\/6, v, 106?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -437 * -17.\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2291, 4590, 6889?\nAnswer: 9188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5886 and 314532.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 4950.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -1, 2\/51 in descending order.\nAnswer: 2\/51, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 3*p - 1. Let k(l) = -3*l**2 + 3*l + 1. Let b(a) = 5*k(a) + 4*m(a). Let o be b(-3). Let s(y) = 9*y**2 + y. Calculate s(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2. Let s(y) = -5*y + 2*y - y + y. Give s(i(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1548\/7 less than -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105085.\nAnswer: 5, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 3*k + 6. Let s be r(5). Let b(f) = 2*f**2 - 3*f + 2. What is the remainder when b(s) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291400 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 151323342 to the power of 1\/2, to the nearest integer?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h + 2. Suppose -2*z - 4 = 0, 2*d - 3*z = -2*z + 58. Let n = 43 - d. Calculate the remainder when n is divided by x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27755 plus -15?\nAnswer: 27740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from {k: 2, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 58 = -3*m. Let k(f) = f**2 + 5*f - 9. Let d = 4 + -11. Let t be k(d). Solve -t*q - m = -2*i, -q - 11 = -5*i + 2*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384758113?\nAnswer: 19, 3221, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2765520 and -91\/552?\nAnswer: 2765520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/(4\/(-10)). Let p(k) = -165*k + 5. Let d(a) = 4*a. Let w(h) = -40*d(h) - p(h). Let j(u) = -2*u + 3. Determine c*w(b) - 5*j(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205054 - -5?\nAnswer: -205049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -121\/18, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356364007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 + 0*n**6 + 0*n**3 + 17*n + 0 + 1\/70*n**5 + 0*n**4 - 1\/147*n**7. Factor j(k).\nAnswer: -2*k**3*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -960 + 963. What is the third biggest value in -0.03, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.81477 millennia to years.\nAnswer: 97814.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66455, 132921, 199401, 265901, 332427, 398985, 465581, 532221?\nAnswer: 598911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063449 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + 9. Let c(z) = 5*z**2 - 7. Let k(w) = 5*c(w) + 4*t(w). Let u(s) = 128*s**2 + 69. Let b(n) = k(n) + u(n). Differentiate b(h) wrt h.\nAnswer: 258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7595076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0*g**3 - 1 + 128*g + 0*g**2 - 1\/4*g**4. Let m(k) = -57*k**2. Determine m(u(h)).\nAnswer: -513*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 5. Let s be n(-5). Let k = 4.96 + -0.36. Let h = k - 5. Which is the third biggest value? (a) s (b) h (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-30)*-9)\/((-12)\/(-14))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 1412*a**2 - 233704*a - 232288 = 0 for a.\nAnswer: -122, -1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 + 2*t + 1. Let m be l(-1). Let -a + m*a**2 + 2*a**4 - 6*a**3 + 0*a - a - 2*a**2 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 21 - 1 = 0. Let y(d) be the first derivative of d**2 - d - 1. Let v(k) = 2*k - 1. Suppose 7*i - 38 = 4. Calculate h*v(r) + i*y(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6169, -23709, -52973, -93985, -146769?\nAnswer: -211349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmfpffffflffff. What is prob of sequence mp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let z(w) = g*w - 3*w + w**3 + 3*w**2 + w**2. Let i be 6\/(-4)*(-24)\/(-9). Calculate z(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*d = 45265584 - 2960404. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 38. Suppose -3*q - 2*x - 20 = 0, 0 = -3*q - b*x - 19 - 2. Let n(o) = o - 5. Calculate n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 + 11*q + 9. Let b = -88 - -78. What is h(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1586 or 1592?\nAnswer: 1592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 - 24*m - 21. Let l be v(-4). Solve -l = -r - 3*c, -4 = -0*c - c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/((-5)\/150). Let b = 18 + n. What is l in 0*l - 3\/4*l**4 - 3\/2*l**b - 3\/4*l**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (23 - (16 - 6)) + 6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 5*k**2 - k**2 + (-k - 2*k + k)*(-2*k + 5*k - 2*k) - k + k + k**2 to v*k**2 + j*k + s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 17*u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250184 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4\/(-6) + (-104935)\/(-20310)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {n: 2, v: 1, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 12830238.\nAnswer: 102641904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 0.04.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Put -1, 0, n in ascending order.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -132*z**3 - 6*z - 36. Let u(a) = -2*a**3 + a. Let c(t) = -l(t) - 4*u(t). Find the second derivative of c(d) wrt d.\nAnswer: 840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4220*u**2 + 4 - 4 - 4241*u**2.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -20*j**4 + 7*j**3 + 17*j + 7. Let g(b) = -13*b**4 + 5*b**3 + 11*b + 5. Let n(q) = -7*g(q) + 5*z(q). What is the second derivative of n(x) wrt x?\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11483 to 3 dps.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 5\/3*o**3 + 5*o - 6 - 11\/2*o**2. Let p(t) = 2*t**2 - 4*t + 2. Let r be (-5)\/(15\/(-8))*-3. Give r*p(l) + 3*a(l).\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*q - 256, -7*j + 619 = 2*q + 543 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100111 + 1100000011?\nAnswer: 101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = r + 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from ttttvvbvb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*h + g + 5, -2*h + g + 1 = 0. Factor 0 - 2\/7*w - 2\/7*w**h.\nAnswer: -2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60681889, -121363779, -182045669, -242727559, -303409449, -364091339?\n\"Answer: -60681890*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17643*q. Let o(n) = 79*n**2. Calculate y(o(g)).\nAnswer: 1393797*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -369870.\nAnswer: -369873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*b = 12084, 2*j - 2907 = 4*b + 5173. Suppose -6*t = 3*t - j. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 320*l**3 - 7 - 3.\nAnswer: 320*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4607\/4878)\/((-4369)\/(-714) - 6 - 4\/14).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42243, -42246, -42251, -42258, -42267, -42278, -42291?\n\"Answer: -h**2 - 42242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 23*d - 28*d + 10 = 0, -3*l = -5*d + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.2 (b) -0.1699 (c) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1\/3 (c) 3 (d) -14801 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*v + 160, 2*x + v = -v + 144. Suppose n + 4*y - 44 - x = 0, -n + 88 = -4*y. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(1224\/(-85))*(-162)\/(-60)*18.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 16 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35624025?\nAnswer: 3, 5, 158329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = -42*d + 3*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16256958 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6376 and -31\/5579.\nAnswer: 44632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 182*b**2 - 473*b + 2360. Is 9 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - (5 + 23 + -21 - 23).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 1344*v**2 + 115536*v + 440896.\nAnswer: 4*(v + 4)*(v + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**3 - 5\/24*c**4 + 0*c + 0*c**5 + 5*c**2 - 1\/210*c**7 + 0*c**6 + 0. What is the second derivative of g(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847079*r - 847079*r - 11563*r**3.\nAnswer: -11563*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)*(6 + -1). Put m, -4, 5 in ascending order.\nAnswer: m, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 24, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 109, -1 in descending order.\nAnswer: 109, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81273, 80785, 79911, 78603, 76813, 74493?\nAnswer: 71595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1050)\/(-8) + 7\/4 + -2. Let c = -188 + 105. Let j = c + x. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38040 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 36*j + 98. Give f(28).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 1591?\nAnswer: 11137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 5*h + 3*c, -3 + 63 = 2*h + 4*c. Suppose 232 = h*r - 18*r. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-21))\/((-49)\/45 + 1). Is a < -96\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let o = 59 - 61. Put o, h, 3 in decreasing order.\nAnswer: 3, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 138 - 555. Let i = -1253\/9 - t. Let x = -55\/2 - -28. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7 - 348\/36?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 32*m**2 - 28*m - 2. Is a(37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, g: 2, k: 2, a: 6, n: 1, y: 4}. Give prob of picking 3 a and 1 f.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let a(u) = 9*u**2 + 4. Let j(x) be the third derivative of -x**5\/6 - 5*x**3\/6 + 2*x**2. Let o(d) = 5*a(d) + 4*j(d). Determine o(k(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -7.192854\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7340 + -873. List the prime factors of c.\nAnswer: 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*f**2 + 11*f**2 + 0*f**2 - 3*f**2 + f in the form a + v*f + x*f**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 1, z: 10, q: 5}. What is prob of picking 3 q?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1938394*m**2 - 3 + 1938396*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3. Let a(s) = 69. Let h(d) = 310. Let r(j) = 9*a(j) - 2*h(j). Suppose -19 = 2*g + g - 5*q, -q + 7 = g. Calculate g*z(b) - 4*r(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936506.\nAnswer: 2, 31, 47363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2857 - 0.1143. What is the nearest to -857 in 0, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-148004)\/(-29964) - (2\/(-33) - 0). Suppose -2*k - 8 = 2, -5*v - 2*k + 15 = 0. Factor 6*h**4 + 18*h**5 - v*h**m - 2*h**3 - 17*h**5.\nAnswer: -2*h**3*(h - 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -19. Suppose 0 = 3*s - s + 4. Let y be 9*(0 - (1 + s)). Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2563, 21033, 71085, 168511, 329103, 568653, 902953, 1347795?\n\"Answer: 2632*n**3 - n**2 + 49*n - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60971, -121676, -182381, -243086, -303791, -364496?\nAnswer: -425201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let p(j) = 8246*j. Calculate a(p(g)).\nAnswer: -8246*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1 + q**2 + 2 - 4. Let k be (57\/(-57))\/(-1 - (2 + -2)). Let y(z) = z**3 + 6*z**2 - 3. Give k*y(u) - 3*j(u).\nAnswer: u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1164*o**2 - 27*o - 27. Let q be 6\/(-4)*((-2)\/(-3) - 0). What is the tens digit of k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 16, 0.5, -48, 3 in ascending order.\nAnswer: -48, -1\/2, 0.5, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001503755823 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31\/5 of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 16*o + 2473. Let b(d) = 9*d. Give -2*b(u) - f(u).\nAnswer: -4*u**2 - 2*u - 2473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7145 + 589*p - 6015 + 3423*p + 3324 with respect to p.\nAnswer: 4012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4, -49 = 2*g - 2*k + 887. Let s = -310 - g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62961 from 282943.\nAnswer: 219982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*w - 1\/2*w**4 - 2*w**3 + 0 + 51\/2*w**2.\nAnswer: -w*(w - 3)**2*(w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -11. Solve 0 = 6*p - p + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 37904750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.4 - -111.4. Let p = 101.98 - v. What is p rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14)*2\/(-6))\/((-91)\/(-28)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025038 rounded to 4 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 10*m**2 - 17*m - 4. Let p be f(-8). Let j = 0.05 - 3.05. What is the biggest value in -0.3, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2754 or 2755?\nAnswer: 2754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i*i*((i\/i**(-1))\/i)\/i*i))*i**(2\/13)*((i**(1\/2)*i)\/i)**24 assuming i is positive.\nAnswer: i**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.71, -6, 18, 1\/13 in descending order.\nAnswer: 18, 0.71, 2\/5, 1\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a - 13*a**2 + 25*a**2 - 18*a**2 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a - 1274 = -35*a + 44*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2\/2 - f - 4. Let s be w(6). What is the greatest common divisor of s and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**25*u)\/u*u)*u**(-30) assuming u is positive.\nAnswer: u**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -135096 + -6.85?\nAnswer: -135102.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 33 = 31*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.304, 1\/15, 4 in descending order.\nAnswer: 4, 1\/15, -0.304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 17 + 1\/12*k**4 + 0*k**3 + k + 0*k**2 + 3\/20*k**5. Determine q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -q - 1406389, 4*s - q - 86085 - 2726690 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**7\/84 - u**6\/180 - u**4\/6 - 2*u**3 + 2*u**2. Let h(n) be the first derivative of x(n). List the prime factors of h(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3513 - -3519. Let f(j) be the second derivative of 0 - 1\/3*j**4 - 17*j + 8\/3*j**3 - z*j**2. Factor f(k).\nAnswer: -4*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5854?\nAnswer: 3\/5854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7172*z**3 - 14252*z**3 + 7056*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:21 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhnhhnhhhnhhnhhnnh. What is prob of picking 2 h and 1 n?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 28 = 0, -20 = 542*q - 541*q + 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128434 is divided by 3999?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1537458 (base 10) to base 11\nAnswer: -96012a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-3 - 37\/(-21)). Let n be ((-4)\/(-2) + -1)*1. What is the nearest to -1\/2 in s, n, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/105 - 109*d**5\/20 + 63*d**3\/2 - 60*d**2. Differentiate s(m) with respect to m.\nAnswer: 8*m**3 - 654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4 = -5*u. Suppose -3*b + u*k + 72 + 45 = 0, 2*b - k = 73. Let t(n) = 18*n + 21 - 6*n + n**2 + b - 42. What is t(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345\/8 or -42?\nAnswer: -345\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 6*x**3 - 7*x**3 - 4*x**4 + (21 - x**2 - 21)*(2*x - 2*x + x**2).\nAnswer: -3*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73147, -73169, -73229, -73345, -73535, -73817, -74209, -74729?\n\"Answer: -3*m**3 - m**2 + 2*m - 73145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2277*y**4 - 1137*y**4 - 3*y**2 + 1005*y + 5*y**2 - 1142*y**4 + 0*y**2 as g*y**2 + p*y**3 + b*y + l + r*y**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -2062*l**3\/3 + 1325*l**2 - 6*l + 330. What is the first derivative of a(w) wrt w?\nAnswer: -4124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -235 - -280 - ((5 - 5) + 1 + 6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + m = 25, -21 = -2*c + 3*c - 5*m. Suppose 9*l - 45 = c*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5382 - -2?\nAnswer: 5384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + m - 21 = 0, 211 - 216 = 5*z - 5*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3885 divided by 35?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -2*r**2 - 4*r + 0 + 2\/3*r**3. Determine l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (27 + (-39 - -9) - 25).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:09 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 17. Let b(t) = -t - 9. Let g(a) = 11*b(a) - 6*h(a). Let r be g(-3). Suppose r*p - 2 = -p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8278452mg in grams?\nAnswer: 0.0008278452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*r - 3 + r)*(-902*r + 1268*r - 580*r).\nAnswer: 428*r**2 - 428*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4349180 is divided by 869835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98224 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 8*l + 25. Suppose -2*s + f + l = 0, s - 2*s = 3*f + 15. Let d be (s + 0)\/(1 + 0). Solve y - 2*z + 7 = d, 2 = -2*y - z + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/7, -34, -133\/4?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/21 + (14\/35 - 213\/(-105)). Solve 59 - 41 = y*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51923, -103845, -155775, -207719, -259683, -311673, -363695?\n\"Answer: -s**3 + 2*s**2 - 51921*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y**4 + 20*y**4 + 3*y**4)*(-17 + 17 - 12*y).\nAnswer: -516*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123 + 1472 = -36*p + 115*p - 1355 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -26*b + 18. Let h(x) = -6*x + 4. Let g(v) = 9*h(v) - 2*q(v). Suppose -w = -6*w + 30. Let z(n) = -2 - 2*n + 2 + 4*n. What is w*z(c) + 5*g(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 12*u**2 - 16717*u - 83414. Determine i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 6*b**2 + 9*b + 2. Give q(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8256654l in millilitres?\nAnswer: 825.6654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*(5 + (sqrt(112)*1 + sqrt(112) + -2 - sqrt(112)) + -4*(sqrt(112) + -1 + sqrt(112))))*-1)**2.\nAnswer: -616*sqrt(7) + 5609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2640972 and 4.\nAnswer: 2640972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 less than 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -37 (b) -4 (c) -1\/18 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 154\/9, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(-8\/5)*i)*i)\/i)\/i**(-1)*(i*i**8*i*i)\/i**7)**(1\/16))**(26\/5) assuming i is positive.\nAnswer: i**(429\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7600*j**3 - 10400*j**3 + 2797*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17811.5568 to the nearest integer.\nAnswer: 17812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0053691 + 0.5.\nAnswer: 0.4946309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 - 446. What is the remainder when 229 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (312\/9)\/(-4*(-7)\/(-33894)). Let s = 9316063\/222 + h. What is the common denominator of s and 139\/6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 6. Let c be j(6). Calculate the common denominator of 62\/3 and 0 - (-4 + (-107)\/c).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 107756.\nAnswer: 5\/107756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1324)\/33762 + 6431716\/102?\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-336))\/((-1)\/(-4)*14*(-1391)\/(-273)).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*i + 75*i + 4228. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 5*p - 46. Let x be i(-3). What is the greatest common factor of x and 3872?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 1171*l - 333710. Give q(-490).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214409471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*h + 4*j, 0 = 4*h - j - 4*j - 187. What is the second derivative of h*k - 120*k + 42*k + 2*k**4 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324082456*j*l + 224195968*l wrt j.\nAnswer: -324082456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.607 and -0.2.\nAnswer: -0.7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 64. Suppose -13*h - y = -30. Which is bigger: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/35? (a) 2 (b) 2.1 (c) -14 (d) -1\/33 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 6*(-12)\/6)*4\/84?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5625.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1619260232*w**4\/7 - 856589004176*w**3\/7 + 1719473740374*w**2\/7 + 362608254*w\/7 + 19116\/7 = 0.\nAnswer: -531, -3\/28454, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-21) - (-2156006)\/7. Round r to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -477*y + 9503. Give a(18).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5698 = -8*i. Let f = 705 + i. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3118 is divided by 773.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 2*o**4 - 4*o**4 + (-1 + 3 - 4)*(-3*o**4 + 5*o**4 - o**4) - o**4 - 2*o**4 + 2*o**4 - 2*o**3 + 2*o**3 + 2*o**4.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529317 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 150083*i + 450246.\nAnswer: (i + 3)*(i + 450246)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-952434)\/(-13) + 4\/(-26). Suppose u = 10*n - 9796. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*6*(sqrt(153) + (sqrt(153) - (3*-2*sqrt(153) - sqrt(153)))**2 + (sqrt(153) - (sqrt(153) - (-1 + sqrt(153) + 4))**2)) + -1).\nAnswer: 432*sqrt(17) + 704374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - 1) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlp when three letters picked without replacement from {p: 1, l: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3 + 12. Suppose -j*l + 6*l - 444 = 0. What is the highest common divisor of 37 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1471\/18 + 730\/9. Calculate the common denominator of g and 43\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/3 (b) -3\/4 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -310, -642, -1282, -2332, -3894?\nAnswer: -6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**2*y**3 + 9990*x**2 + 264*y**3 wrt y.\nAnswer: -15*x**2*y**2 + 792*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-17)\/255). Suppose -292 = 4*v + 5*u - 829, v = k*u + 153. What are the prime factors of v?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6548 by -1637.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/53110 and 47\/2?\nAnswer: 53110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2596\/(-3245)*410\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 - 2*j**2 + 4*j**2)*(-13*j**2 - 41*j**3 + 13*j**2 - 2*j**3 + 2*j**3 + 2*j**3 + (-4*j + 5*j - 3*j)*(3*j**2 - 2*j**2 + j**2)).\nAnswer: 86*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5061 + -2421. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - g, 3*g + 87 - 95 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*187\/(-238)*-21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o - 5*j + 6 = 0, 4*j - 24 = -4*o. Suppose -2*p = -2 + o. Is (394 - 5) + 0\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, 23 in descending order.\nAnswer: 23, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -1.1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + -4.3. Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = -2*d, 5*v - 93 = -78. What is the remainder when 71 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271400669*p**3*y - 553*p**2*y + 1445*p**2 - 4*p*y + p + 3*y wrt p.\nAnswer: 1628404014*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 3. Does 10 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336b16 (base 14) to base 3\nAnswer: -10021202221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1566\/(-10))\/((-110664)\/61480)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020212122010 + 2?\nAnswer: -1020212122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011 - -0.211. Let h = -2\/285 - 31\/95. Sort -1, i, h.\nAnswer: -1, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-3))\/(-3))\/((-4617)\/(456\/8))?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.725904 - -347044.\nAnswer: 347020.274096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, 432, 2293, 6480, 13905?\n\"Answer: 152*v**3 - 205*v**2 - 2*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -716, -2429, -5764, -11261?\nAnswer: -19460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 33, -763 in descending order.\nAnswer: 33, 10, -763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2))\/(t\/t**(-15)) assuming t is positive.\nAnswer: t**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/88943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-19))\/(24\/5700)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -1\/30*c**4 + 2\/15*c**3 + 0 - 5*c - 1\/5*c**2. Let t(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12402*h + 14234*h = 42136 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -431 and -8.3.\nAnswer: -439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f - 11*f + 8 + 2*f + 4*f - 3*f + 0*f + (-3 + 1 + 4)*(2*f - f + 0*f) as o + t*f and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4977*o**3 - 453*o - 11530605 wrt o?\nAnswer: 14931*o**2 - 453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by ((-13)\/((-104)\/(-16)))\/(10\/(-845)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 + 326. Solve -k + l*k + 24 = 4*g, 3*g + k - 13 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.3, 0.057, 3, 48, 1?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 - 2*z - 18 + 7*z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -83, -150, -231, -326, -435, -558?\n\"Answer: -7*v**2 - 32*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:53 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 11*t**2 + 44*t - 28. Let d = -248 + 262. Let r be q(d). Which is the nearest to 1? (a) r (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-18)*(-432)\/96)\/(8\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1804 or 6\/461?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -289\/7 + 340\/7. Calculate the common denominator of -74\/9 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - (-10 - (-10 - (-3)\/6)). Suppose -3 = o - 5. Factor -8\/5 + 16\/5*v + o*v**t.\nAnswer: 2*(v + 2)*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*w + 3*s, -w + 10 + 0 = 2*s. Suppose -3*f + 2*f + 20 = i, f = w*i - 85. Suppose 4*p - 2*z - 63 = 3*z, z - 5 = 0. Is i >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303377.\nAnswer: 3, 434459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 + 25237\nAnswer: 25237.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 1. Let r(f) = 10*f**3 - 2. What is r(q) - u(q)?\nAnswer: 11*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274548404 - 4?\nAnswer: -274548408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 10. Let j be c(4). Let b(q) be the third derivative of -q**6\/120 + q**5\/10 - 4*q**3\/3 - 5*q**2. What is b(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - -63. Let b = u + -77. Let q be -1*(-2)\/2 - -16. Solve t + l - q = -2*l, 2*t - 5*l = -b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -3\/5 (c) 0.108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12264130.7 rounded to the nearest one hundred thousand?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab1d (base 15) to base 11.\nAnswer: -25268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3)*w)\/w*w*w)**(2\/21)*(w\/w**(2\/7)*w*w)**(-1\/69))**(-29) assuming w is positive.\nAnswer: w**(-3683\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v - 166. Let s be k(29). Suppose 4*z + b - 48 = 18, 4*z - 4*b - 56 = 0. What is the highest common factor of s and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49\/4? (a) 3 (b) 3\/16 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j - 1. Let z be v(1). Is 254\/3*(z\/(-6) - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-731)\/(-34))\/(-43) + (0 - (-10)\/4). Let g = 16 - 10. What is the third derivative of g*m**2 + 0*m**i - 8*m**2 + 13*m**3 - 4*m + m**2 wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 189*u + 0 + 0*u**4 - 1\/20*u**5 + 0*u**3 - 27\/2*u**2. Determine x(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a**2 + 2*a + 1. Let r be z(-1). Let t = 64 - 39. Let v = r + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*f + 0*f - 11 = 0, t - 7 = -4*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-16 - (-1 - -5)) - 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -43215134?\nAnswer: -43215142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = t, -7*k = -3*k - 20. Let u be (-1 - -2)*1 + 2. Let w = u - 3. Solve t = -4*q - w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.156 and 7150.53?\nAnswer: 7150.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*4\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5\/3, -0.1, -0.2, 4, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 71*p - 141 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279465 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3244\/1407 - -4\/201. Let y = 11056920 - 199172455\/18. Let q = y - -8221. Find the common denominator of a and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3869 + 5866 = 15*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 take away -2392?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -0.4 (b) 0.4 (c) 1\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {t: 3, v: 2, u: 8, s: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1676 = 2*m - c, -2509 = -3*m - 4*c. What are the prime factors of m?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515384 is divided by 147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 1 - (2 - 90\/(-110)). What is the second smallest value in p, -4, 33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from ooooxmoxxxmoxsommx.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -41.19. Let y = -5.19 + p. Which is the smallest value? (a) -0.1 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 - -144. What are the prime factors of y?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 i when four letters picked without replacement from {u: 9, i: 5}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let a be o(0). Suppose 5*j - 9 = -a*j + d, 4*j = -2*d + 10. What is the common denominator of -69\/16 and (j\/40)\/(14\/(-875))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 40, -5, 0 in ascending order.\nAnswer: -5, 0, 40, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45375837187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 5. Suppose -2*v - p*v + 4*h = -24, -2*h = -3*v + 17. Solve v = n - 4*y - 4, -6 = 5*n - 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8718 (base 10) to base 7.\nAnswer: 34263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6345*q - 14034*q + 5979*q.\nAnswer: -1710*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Suppose 4*v - 2*l = -7*l + 91, 5*v - 101 = -j*l. Let d = v + -15. Calculate the remainder when 13 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (1 - (-15)\/12)*10\/6. Let h = -54000\/67 - -806. Let l = h + -71\/134. Which is the closest to -1? (a) l (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 35*h - 13. Let k be i(17). What is the smallest value in 0.08, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-108)*27*(-22)\/(-16)*-14\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 738626 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/9)\/(-1 - (-48)\/54). Sort 1\/2, r, 11 in ascending order.\nAnswer: 1\/2, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - -2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14274598, 28549198, 42823800, 57098404?\nAnswer: 71373010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 5*l - 5. Let j(y) = 5 + 3*y**2 - 2*y**2 + 0. Let w be j(0). Give s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 1. Suppose 0 = n - 2 + 1. Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 1}. Give prob of picking 3 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 - 2.5. Let f be 138\/1012*(-4)\/(-6). Which is the nearest to g? (a) f (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429995649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -14.15. Let s = h - 0.15. Let l = -438 + 460. What is the biggest value in -0.3, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1105481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-829 - -823) + (1 - 16) + 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = u, -2*u = -4*u. Let z(y) = 0 - 1 + 0 - y**h + 0. Let k(f) = -f + 8 + 1 - 9 + 4*f**2 + 2. Determine -k(p) - 3*z(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*j + 3*j + 1, -y - 4*j - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 144*r = -140*r + 16, r + 5 = 0. Put a, 5, -2, -10 in decreasing order.\nAnswer: 5, a, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let g = -0.01 + -0.19. Sort o, 3, g in decreasing order.\nAnswer: 3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*d**5 + d**4 + 2*d**3 + 4187*d.\nAnswer: -220*d**3 + 12*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-7)\/2*88\/(-308)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -262a24?\nAnswer: 262a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Let b = l - 10. Let g = b - -4. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 214*t + 8758. Determine x(159).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3 - 259452871*a**2 + 16828948197262095*a - 16828947937809225 = 0.\nAnswer: 1, 129726435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90, -114, -448, -906, -1482, -2170?\n\"Answer: u**3 - 71*u**2 + 2*u + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -0.04382161077703?\nAnswer: 0.05617838922297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9 + -3.2. Let h(c) = -c**2 + 7*c - 4. Let o be h(5). Sort 0.4, o, b in decreasing order.\nAnswer: o, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334937611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**3 - 6*i**2 + 17*i - 11. Let q(v) = 5*v**3 + 2*v**2 - 6*v + 4. Determine 11*q(m) + 4*z(m).\nAnswer: -m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266316727?\nAnswer: 266316727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4. Let d be a\/(-2)*(-180)\/1. Suppose -d = -2*w - w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d + 32 = 5*s, -s - 2 = -4*d. Let y = 9 - 7. Suppose 282 = 5*r + 4*c + y, -4*c - 168 = -3*r. Calculate the greatest common factor of r and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 56 = -5*a, 0 = -2*x + 13 - 17 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32c (base 16) in base 9?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1119 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 232 - m - 215 - 2*m - 4*m as l + g*m and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-1 - (sqrt(22) - sqrt(198))\/sqrt(2) - (-1 + sqrt(396) + sqrt(396))*1)**2 - ((sqrt(66)*-3*4)\/((sqrt(24)*2)\/sqrt(4)))**2.\nAnswer: -42*sqrt(11) + 4456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-15 - 13 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23452 + -19409. Is s a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38416 (base 11) to base 9\nAnswer: -83481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. Let u be y\/((4\/(-23))\/(-2)). Let m = 2 - u. Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 440387*u**2 - 167047 wrt u?\nAnswer: 880774*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4314 + -63?\nAnswer: -4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 5\/2, 0.01, 1\/21, -5, 2\/25 in decreasing order.\nAnswer: 5\/2, 4\/7, 2\/25, 1\/21, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56586439 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = -5*r. Suppose r*d + 0*d = -l - 5, -2*d = l - 4. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (780\/210)\/((-2)\/(-14)). What is the highest common factor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/(z**(-1\/6)\/z))\/z*z*z)*z**(-2\/21)*z**26\/z*z**13 assuming z is positive.\nAnswer: z**(1501\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/(-2 - (-57)\/27). Suppose 0 = 5*d - x*o - 6, 0 + 3 = 3*d - 2*o. Solve 5*t = 25, 3*i - 7 - 17 = -d*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*v - 67. Suppose 0 = -0*c + 4*c - v. Solve c = -k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c37a - 0?\nAnswer: 10c37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6690*u - 53133. Determine l(8).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -649 + 373. Let h = -188 - n. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979318687 to the power of 1\/2, to the nearest integer?\nAnswer: 54583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*k**3 - 2*d**2*k + 10*d**2 - 3*k**3 - 3*k**2 wrt k.\nAnswer: -12*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156223*k - 1 - 6919*k**5 - 79963*k - 78554*k wrt k.\nAnswer: -138380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 5*t + 2. Let i be 0*((-2)\/4 - 0). Suppose i = 4*o - 14 + 30. Calculate z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1449 + -2993\/2. What is the common denominator of 2\/7 + (-139)\/(-77) and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j + 21*j + 86*j - 3528 = 0 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002554 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6656 and 200760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + (-8 - (-2 + -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -85 (b) 0 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 959, 1440, 1921, 2402?\nAnswer: 2883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1075)\/(-110) + 14\/231. Let n = 755\/78 - r. What is the closest to 2\/7 in 2, -0.5, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 4*k - 3*k = 9386. Calculate the greatest common factor of 418 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -32 + 25 - (-15 + 49)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1022, 1034, 1068, 1136, 1250, 1422, 1664, 1988?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261738910 to the power of 1\/2, to the nearest integer?\nAnswer: 16178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3629280 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*r - 2*r + 8, -a - 7 = 2*r. Put a, 3, 4, 0 in descending order.\nAnswer: 4, 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-17\/5)*d*d**(-8\/9)*d assuming d is positive.\nAnswer: d**(-103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -304c?\nAnswer: -3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**18*b**(-2\/23)\/(b\/(b\/((b\/(b\/(b\/((b*b*b**(-18))\/b))))\/b))))**(10\/7) assuming b is positive.\nAnswer: b**(-1860\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71957, 143915, 215875, 287837, 359801?\nAnswer: 431767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/29575 and 97\/49350.\nAnswer: 8340150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnp when four letters picked without replacement from {f: 2, n: 5, p: 2}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(68) + 4 + -2 + sqrt(68) + 4)*-3)**2.\nAnswer: 576*sqrt(17) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 173587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 422115 and 347322.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -2909, -6540, -11623?\nAnswer: -18158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3) - (sqrt(3) + 1 - sqrt(3))) + 0).\nAnswer: -5*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:08 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 23 = 18. Let z(k) = -2*k**2 + k. Give z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 = 5*x - 193. Let h be 3 - (3 + 6\/x). Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6. Let a(i) = i + 6. What is -5*a(t) - 6*g(t)?\nAnswer: -5*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-1)\/(-3) + -1). What is the units digit of (-4)\/(d - (-15)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.007?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5328 and 30451?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 80*i - 85. What is the units digit of m(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from {l: 3, x: 7, i: 1, q: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1426714203 to the nearest integer?\nAnswer: 37772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejej when four letters picked without replacement from jjeeejjjjjj?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 408*z - 14123. Calculate g(-45).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35.32 or -7\/19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/9))\/n*n**(-4))**(-38) assuming n is positive.\nAnswer: n**(950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {y: 10, c: 3, j: 2, t: 1, o: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-21)*(-84)\/189*-84?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823040677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 220055.\nAnswer: -68\/220055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18567 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**5\/24 - r**4\/24 + 4*r**3\/3 - 3. Let p(b) be the third derivative of d(b). Calculate p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 91753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n + 5. Let o(u) = 31*u - 9. What is 11*g(j) + 6*o(j)?\nAnswer: 21*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 2*c**2 + 56*c - 2. Let z be n(0). What is the third biggest value in -3, 3\/8, 2, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 1. Does 16 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/7))\/k)\/k)\/k**12)**31 assuming k is positive.\nAnswer: k**(-2790\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*o**3*v**3*x**3 + 62391*o**3*v**3*x + 2*o**2*v - 7*o**2 - 142*o*v**3 + 2*o*v*x**3 + 4*v**3*x - 3*v*x**3 + 10*x**3 wrt o?\nAnswer: -60*v**3*x**3 + 374346*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1795456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 172*n**4 - 115*n**4 + 48*n**3 + 16*n**2 - 133*n**4 - 6*n - 48*n**5 = 0.\nAnswer: -2, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 10 - w - 10)*(-1 + 2 + 1) - 1 + 1 - 18*w.\nAnswer: -20*w + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4770 is divided by -1 - (-521)\/4 - 28\/112?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*n**2 - 19*n**4 + 95 + 17 + 12*n**2 - 21*n**2 - n**3 wrt n.\nAnswer: -76*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023 + 3.977. Let v = 0.11 + 4.89. Which is the nearest to 0? (a) v (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-6 + (-8 - 1) + 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6068a9 + -3?\nAnswer: -6068b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(6*q**2 - 2*q - 7*q - 5*q**2)*(3*q + 2*q - 3*q).\nAnswer: -4*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1055 and -1.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 25 - 11 = 0. Let u(o) = 3*o**3 - o**2 + 5*o + 3. Let t(a) = a**3 - a**2 + 2*a + 1. Determine v*u(g) + 5*t(g).\nAnswer: -g**3 - 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(1*sqrt(100) + sqrt(100) + sqrt(4)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-4)\/((-52)\/3)). Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10968 and 116856728?\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -430*u + 14838 - 10538 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154677604?\nAnswer: 2, 38669401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -40. Which is the third smallest value? (a) -4 (b) 1\/9 (c) 0 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -65. Let w = 97 - m. Suppose -5*b + 24 = -w. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.017 - 0.0087. What is z rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, a: 3, y: 2, z: 10}. What is prob of picking 1 y and 1 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 13. Let x be c(8). Suppose -20 = -0*k - x*k. Suppose -3*u = k*y - 367, -87 = -y - 2*u + 6*u. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-20) - 6\/4. Suppose -u*j - 9*j + 33045 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 times -10640\nAnswer: 755440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574373 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93079 is divided by 2708?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**3 + 25*l**3 + 20*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 13*q + 4. Let u be d(11). Let s be -1 - (-56)\/u - 1. Which is the smallest value? (a) 8\/7 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 47*s**2 - 751*s - 1975. What is i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 6*z - 30, z = 13*c + z + 3*z + 2*z + 88 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + ((sqrt(209) + sqrt(209)*-2)*-4 - sqrt(209)) + sqrt(209) - sqrt(209)) + sqrt(209))\/(sqrt(22)\/sqrt(2)*-5).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83667292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3529477 and -0.06.\nAnswer: -3529477.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -39. Let n(w) = w**2 - 22*w + 5. Let t be n(q). Solve 6 = t*v - 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5047 - 3451. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 8*q + 15. Suppose 0 = 3*k - q*d - 2641, -2*k - 2*k - 3*d + 3502 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.92 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 + 34*d + 21. Determine h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2108550 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.4. Let u = -1.6 + -0.4. Is c smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 81*j**2\/2 + 31193*j - 185592.\nAnswer: -(j - 209)*(j - 6)*(j + 296)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose b = -i - 2. Is (-1)\/((4\/65)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.31882ml in litres?\nAnswer: 0.05431882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-17 - -3) + (80 - 33)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 + 3955*i**3 + 244976*i**2 = 0.\nAnswer: -61, 0, 4016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - -16525400?\nAnswer: 16525302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 4 + (20 - 0) + (-2 - 8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -32*r**2 + 9*r + 6. Let i(g) = -66*g**2 + 20*g + 14. Let f(l) = -3*i(l) + 7*x(l). Let j(w) = -27*w**2 + 4*w. Give -4*f(k) + 3*j(k).\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57049.00016 + 57175. Let c = 126 - i. What is c rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -326 + 325. Let x be (-22)\/(-6)*c + 5\/1. Let s = 9 - 6. What is the second biggest value in x, s, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -7984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 367645020 to the nearest ten thousand.\nAnswer: 367650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74156*p**4*z + 163909*p*z wrt p.\nAnswer: 889872*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623477 (base 12) in base 6?\nAnswer: 1345003031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-346 - -359) + -1 + -8. Solve 3*a - x = -4*w, -5*a = -2*w + 27 + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 g when three letters picked without replacement from {e: 1, j: 1, f: 4, g: 4, o: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 3*p + 4*p + (1 + 0 + 1)*(-3*p + p + 0*p) - 2 - 2*p + 2)*(-3*p + 2*p + 2*p) in the form k + t*p + z*p**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*d - 390*d - 391*d + 1176*d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*u - 316 = 0, 5*z - 561 = 5*u + 24. Let x be (-64)\/z - (1 - (-138)\/(-21)). Solve 0*k + 5*k = -x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -83. Find the first derivative of -v*i - 2*i**2 + 10*i + 53 - 37*i wrt i.\nAnswer: -4*i - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 40*b + 9720 = -47*b - 29*b for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*sqrt(54) - 3*(sqrt(6) - sqrt(24)\/sqrt(4)))\/(sqrt(18)*1 - (-1*sqrt(162) + sqrt(2))).\nAnswer: 108*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 26. Let a = h - 11. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -15 (b) 5 (c) 250 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -5, -45.8, 5, -0.2, 33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101561*f*m**5 + 2*f*m**4 - 520*f*m**2 - 8*f*m wrt m?\nAnswer: 6093660*f*m**2 + 48*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -428423, -1713677, -3855767, -6854693, -10710455, -15423053, -20992487?\n\"Answer: -428418*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1354999\/625 + -2168. Let q = t - -2376\/625. What is the second biggest value in -0.2, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/10 and 1\/(1 + (-291)\/267)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6883874.2 - 345326.8. Let i = g + 7229213.300059. Let r = i - 12.3. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*a**2*n**4 - 2*a**2*n**2 - 82*a**2 + 2*a*n**6 wrt n.\nAnswer: -7488*a**2*n + 240*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1646?\nAnswer: 1\/1646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 smaller than 2764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1215, 907, 399, -303, -1193, -2265?\n\"Answer: i**3 - 106*i**2 + 3*i + 1317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 373435.\nAnswer: 40330980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -609, -916?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 + -1 - (11 + -24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -6392771.\nAnswer: -8\/6392771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r + 5794. Is x(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 72 - 101 = 0. Let q(m) be the second derivative of m**3\/6 + m**2\/2 + 2*m. Give q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**2 - 3*h + 11\/6*h**3 + 0*h**4 + 0 + 1\/5*h**6 + 0*h**5. Find the second derivative of r(n) wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/2*b**2 - 51\/4 + 29*b + 3*b**3 + 1\/4*b**4.\nAnswer: (b - 3)*(b - 1)**2*(b + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:08 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1595\/229 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85692921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*d - d + 15 = 0, 5*n - 21 = -3*d. Let h = n - 16\/3. Let r = 6 + -5.6. Which is the third smallest value? (a) 2 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 340*c + 340*c - 2 - 55973*c**3.\nAnswer: -55973*c**3 - 5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**2 + 0*o**2 - 2*o**2 + 5*o**2 - o**2 + (-2*o + 4*o + 0*o)*(0*o + 0*o + 2*o) + 2*o**2 - o + o + 3*o**2 + 3 - 3 - 2*o.\nAnswer: 13*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:06 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -984311, 1, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(28 + -8). Suppose z + 14 = x. Which is the closest to -2\/3? (a) -1 (b) z (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b - 37. Give s(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2. Let b(w) be the second derivative of -10*w + 1\/6*w**4 + 0*w**2 + 0 + 0*w**3. What is v(b(m))?\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112687.\nAnswer: 97, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d + 19*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s**(-2\/19))\/s*s*s\/s**(2\/21))\/(s**(-15)*s)**(-22) assuming s is positive.\nAnswer: s**(-121376\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 22 = 5*t, 3*t - 9*d = -11*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x + 1. Suppose -2*a - 4*d - 28 = 0, 15 = a - 6*a + d. Give w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/5, 1\/3, 1\/2, 21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - c + 10*c)*(-41853 + 2736*c + 41853 + 5550*c) as y + r*c + a*c**2 and give a.\nAnswer: 58002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -6 + 26. Let v be z\/(-5)*5\/(-1). Let q be 4*(-1)\/(-16)*8\/6. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 - 3492*f**4 - 2*f**3 + 57*f**2 + 312 wrt f?\nAnswer: -60*f**2 - 83808*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 28447*t - 13. Let r be p(1). Suppose 3*g - 2*f - r = 35637, 0 = 4*g - 3*f - 85429. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 2915*k + 11580 = 0. What is k?\nAnswer: 4, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**8*c**(-3\/4)\/c assuming c is positive.\nAnswer: c**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2875755275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -354*a**2 + 178*a**2 + 184*a**2. Suppose -2*r - 3*v + 39 = 10, 0 = 2*r - v - 9. Let h(p) = 12*p - 7*p - r*p. What is h(c(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 17*y - 15. What is r(-12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 42*d - 40*d - 2, -d = -2*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*(-62)\/((-2480)\/30). Put -4, j, -2\/3, 472 in descending order.\nAnswer: 472, j, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2)*2\/3. Let k(b) = b**h + 2*b - 2*b. Let f(o) = -3*o**2 - 3*o - 3. Let x(m) = -3*m**2 - 2*m - 2. Let p(g) = -2*f(g) + 3*x(g). What is p(k(j))?\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48389 is divided by 24078?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:45 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(4\/(-16)). Suppose 4*p = 7*p - 15. Solve -c*u = -p*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -26. Sort 1, j, 3, -4 in descending order.\nAnswer: 3, 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n**2 - 7*n. Let y(k) = k**3 + k**2 - k + 5. Let b be y(-2). Does 24 divide f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 0.4 (c) 1\/20 (d) 2\/15 (e) -14\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -132*c**4\/5 + 1443*c**3\/5 - 3063*c**2\/5 - 282*c\/5 + 144\/5 = 0. Calculate c.\nAnswer: -1\/4, 2\/11, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -63*(-40)\/(-12)*4\/(-20) is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2\/2 + 8*t - 15. Let n be u(9). Let d be (-2 - 36\/(-16))*0\/n. Is 4\/13 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 24*i - 2. Let h be v(1). What is the highest common factor of 88 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 24*h + 22. Let b be g(17). Let u = 217 - b. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*(y*y\/((y*y*y\/(y\/y**3*y))\/y))\/y)\/y*y)\/y**3)**(7\/4))**(2\/3))**47 assuming y is positive.\nAnswer: y**(-658\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -747*n - 127. Is b(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 2, l: 3, o: 3, w: 1, u: 4}. Give prob of sequence oo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684790470 and 21348.\nAnswer: 10674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2003 and -2003 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -100, -74, -48, -22, 4?\n\"Answer: 26*n - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 16}. Give prob of picking 2 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1466 - 1599 - (-93 + -2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvz when three letters picked without replacement from {m: 3, v: 6, z: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*k + 2*w - 250 = 177*k, 5*w - 141 = -2*k. Calculate the remainder when 10735 is divided by k.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 15*g - 718 + 1088, 2*r + g + 9 + 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*((-7)\/2)\/(-7))\/(5405\/(-705))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*r + 4*y, -r + 2 = -2*y. Is -1 + 162 + r\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 5*v + 10. Let x(d) = -4*d**2 + 10*d - 19. Let z(h) = -7*b(h) - 4*x(h). Suppose 79 = 9*m + 16. Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/5 + 24*k**2 + 624*k\/5 - 4608\/5 = 0.\nAnswer: -32, -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 396.8578187863?\nAnswer: -391.8578187863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 - 25*d**4 + 1012*d**2?\nAnswer: -120*d**2 - 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-280)\/32))\/(9\/(-72))*15\/(-2)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1137.3 + -943. Let k = -49.4 + c. What is k rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70764 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/333 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2621, 5204, 7787, 10370, 12953?\n\"Answer: 2583*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*o + 1127, -2*i + 1813 - 142 = -3*o. Let q = o - -851. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 16*o + 14.\nAnswer: 2*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-24) + 16\/48.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70456\/48255 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -36 - 117 + 26 + 42 - 17*w. Let p be v(-5). Let t = 0 - -2. Solve t*l = -p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*r - 455, 2*n + 3*r = 2*r + 182. Calculate the remainder when n is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14. Suppose c + 3*c = l. Let w(v) = v**3 + v**2 - v + 29. Is w(c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*(-36)\/(-16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12100 (base 6) in base 15?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 11 - 23. What is the third derivative of -i**f - 2*i**2 + i**3 - 11*i**3 wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggh when four letters picked without replacement from prghgprh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 752360.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -43 + 4 - ((-10 - -9 - 5) + 9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) + (1*sqrt(225)*3 - sqrt(225)) - sqrt(225)) + sqrt(225))\/(sqrt(20)*-4) + 4.\nAnswer: -9*sqrt(5)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-21) + 68\/(-714)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2. Suppose 2*u = -4*w + 56, 6*u + 12 = 3*u. Let v(b) = 40*b - 23*b - w*b. Determine h(v(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 67\/2?\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 4*m**2 + 2*m**2 + (796*m**2 - 311*m**2 + 220*m**2)*(-4 + 1 + 2) + 12*m**2 + 0*m**2 - 6*m**2 in the form j*m + h + p*m**2 and give p.\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*i - 8666*i - 10515*i - 340*i.\nAnswer: -19742*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x. Let b(p) be the third derivative of p**4\/6 - 1053*p**2. Give -14*b(k) + 3*v(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)\/(d\/d**(-5)))\/(d**4*d**(-8)) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -407861?\nAnswer: -407862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 310360241?\nAnswer: 310360233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115251*n - 3743*n**2 + 115251*n)*((-5 + 2 + 5)*(-1 - 3 + 3) - 1 + 0 - 1).\nAnswer: 14972*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -18.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*4*(-3)\/6. Suppose y = -3*v + 20. Suppose -v*i + 4000000 = -3*i. Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 3*n - 4587, 4*n - 6105 = -p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - 2*d. Let t be (6\/(-30))\/((-3)\/45). Let v be g(t). Solve f + v*y = 13, -5*y = -2*f + 1 - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (230\/(-92))\/((-5)\/12) + 1. Solve 0*f = -n*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14983 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14199*b - 34280 = 15056*b for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.05 - 0.05. Let t = -89\/20 + 26\/5. Which is bigger: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 172375*t - 9980930 = 0. Calculate t.\nAnswer: -34417, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 554167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5349 (base 13) to base 10\nAnswer: 11553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 127619?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 2 h when four letters picked without replacement from {h: 8, f: 4, v: 1}.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 595826.\nAnswer: 4\/297913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*d + 139*d - 6*l - 3*l = -7*l - 24, 5*d - 2*l + 30 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 3*w - 3*w)*(-3*w**2 - w**2 + 5*w**2) - 2*w**3 + 2*w**3 + w**3 + (-4 + 2 + 1)*(0 - w**3 + 0) - 7*w**3 - 15*w**3 + 33*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 1653 + 21. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/32*20\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b, -2*x = -b - 2 - 6. Let c be 1 - (6 - 4 - -21). Calculate the lowest common multiple of (-24)\/c*132\/24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/229, 0.4, 2 in ascending order.\nAnswer: -6\/229, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49 + -5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/52 and -89\/546?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49006*k**2 - 161*k + 161*k.\nAnswer: 49006*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*n = n - 13, -3*a + 22 = -5*n. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 119, 0.238, 0.2, -0.4, -206?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3)) - (sqrt(27) + -3).\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316699282 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3783\/4546?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 268 = -83. What is the second smallest value in 2, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:43 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/((12\/18)\/((-4)\/(-3))). Suppose 3*i = -n + k, 3*i - 266 = -4*n + 202. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 2 k when four letters picked without replacement from {c: 1, f: 5, y: 3, l: 1, k: 4}.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -667 (b) 2 (c) 2\/3 (d) 54 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8840794 is divided by 34003?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8054*s**2 - 36221*s**2 + 1 - 3293*s**2.\nAnswer: -31460*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1499, 2645, 3777, 4889, 5975?\nAnswer: 7029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -500722 take away -2881326?\nAnswer: 2380604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94766563.\nAnswer: 94766563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 2*z - z)*(0*z + 2*z - z) + 2*z**2 + z**2 + 3*z**2)*(2*z - 2*z - 2*z)*(-3 + 6 - 1).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 2592?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8277231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.065 + 3.065. Which is the third biggest value? (a) 0.5 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*3*(-70)\/(-45)*2907\/1615?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 592, 1474, 2366, 3274, 4204, 5162, 6154, 7186?\n\"Answer: r**3 - r**2 + 878*r - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:04 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 7. Let t(d) = 3*d + 14. Let g(o) = -5*b(o) + 2*t(o). Let x = -98 + 110. Does 2 divide g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10708*g + 428314. Determine r(40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -10. Solve 19 + 6 = w*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - n + 1, -4*n - 5 = -x - 9*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4739135.09 to the nearest one thousand.\nAnswer: 4739000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3601\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c673 (base 14) in base 7?\nAnswer: 201503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -710?\nAnswer: -709.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -1, 0.5, -41927?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1164 - -1164.000000543. Round r to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 76*x\/3 - 1444\/3 = 0 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 8852.\nAnswer: -1770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 146, -5, 0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.62 - 0.49. Let c = 2.13 - j. What is the third biggest value in c, -8, 1\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*1*-2 + sqrt(525) + (sqrt(525) + (sqrt(525) - -2*sqrt(525)))*2)\/(sqrt(693)\/(sqrt(11)*-4*-4)).\nAnswer: 560*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688019400 and 3090?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wvvwvwww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 + 321. Calculate the greatest common factor of s and 1183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y**2 + 6*y - 19. Let g(p) = -8*p**2 - 2*p + 6. Calculate -8*g(v) - 3*t(v).\nAnswer: -8*v**2 - 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from aaaobahva?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -15*d, d - 100 = -4*v. Solve 0 = v*m - 29*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -n + 9, 2*y = -y - 5*n - 11. Let a = y - -4. Let q(x) = x**3 - 4*x + 3. Give q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283307014 divided by -1?\nAnswer: 283307014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.105 + -66.105. Sort -0.1, h, -2 in increasing order.\nAnswer: h, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = 5*h, 3*d - h - 39 = 2*h. Calculate the remainder when 40 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 651 + 653 + 16*z. Does 29 divide q(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(510)\/(sqrt(90)\/sqrt(9) + sqrt(10)))\/((sqrt(21) + sqrt(21) + (sqrt(21) - sqrt(42)\/sqrt(2)) + sqrt(21))\/sqrt(7)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -11.3719.\nAnswer: -11.5719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -34.5844991.\nAnswer: -32.5844991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 - 4*j + 1. Suppose -2*m + m = 7. Let a(y) = -3*y**2 + y. Let s(c) = 7*c - 16*c + 8*c + 5. Let k be s(7). Determine k*z(r) + m*a(r).\nAnswer: r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 44\/20)\/(8\/20). Let l be 9*(c - 3)\/(-3). What is the derivative of 2*s**l + 5 + 19*s**4 - 17*s**4 - 14*s**4 wrt s?\nAnswer: -48*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1112\/1251)\/(5\/(-3))).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rntnhh. Give prob of sequence nrhn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289721, -579443, -869173, -1158917, -1448681, -1738471, -2028293?\nAnswer: -2318153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-5)\/140*16\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**4 + 2*h**3 + h + 1. Let u(l) = 9*l**4 + 9*l**3 - 17*l**2 + 3*l + 8. Let b(d) = -3*m(d) + u(d). Find the third derivative of b(z) wrt z.\nAnswer: 288*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69833840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.03*-0.2.\nAnswer: 1.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -403271, -403357, -403439, -403517, -403591?\n\"Answer: 2*g**2 - 92*g - 403181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 - i**2 - 2*i**2 - 33*i**2.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 6:27 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1243 - -867. Let m = -49 - l. Suppose 3*h = -3*d + 270, -3*d - 4*h - 53 = -m. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 5. Let p be l(-5). Suppose 0 = 8*c - 3*c + 4*q + 10, 5*q = -2*c - 21. Let z be (2\/(p + 1))\/c. Is z equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74529 and 5586.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 5*c**2 - 7*c. What is j(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20542*h*z**3 - 32464*z**3 wrt h.\nAnswer: -20542*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:43 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2 - 216*n + 0 + 1\/3*n**5 - 20\/3*n**4 + 109\/3*n**3.\nAnswer: n*(n - 9)**2*(n - 4)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1790.5 to the nearest 10.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74, 79, 86, 95, 106, 119?\n\"Answer: s**2 + 2*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 14592 = -0*k - 4*g, -5*k = g + 36502. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 7:01 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let s = 0 + y. Let l be (16\/60)\/(s\/3). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 9*d - 9. Let q(a) = a**2 + 6*a - 19. Let k be q(-9). Let z be f(k). Is z bigger than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 27 + 1648*p - 12 as f*p + s and give f.\nAnswer: 1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (24\/25)\/6*-5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and -473645.\nAnswer: -473617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 5*k**3 + k**3 + 2*k - 2*k**2 - 3*k**3 to i*k + j*k**3 + w*k**2 + q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 8870*c - 2092500.\nAnswer: -2*(c - 4185)*(c - 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4\/5 + 12*k**3\/5 - 16*k\/5 = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6603.494um?\nAnswer: 0.000006603494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-4*2\/(-4)*-1. Let m be (-5)\/(-20) + 14\/8. Suppose 0 = 4*t + l + 36, -m*t - 28 - 4 = 4*l. Put k, t, 3 in decreasing order.\nAnswer: 3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j**(3\/16)*j)\/(j*j**(-10)*j**(-15)\/j) assuming j is positive.\nAnswer: j**(467\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*6\/(-8)*4. Let q be (1 - 2) + 28\/18. Sort 3, 2, q, z.\nAnswer: z, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.2, 1, -28, 2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406 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: What is the tenth root of 190013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.93276658 rounded to 4 dps?\nAnswer: -1.9328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 8*m**2 - 7*m. Let s be j(-7). Let b(q) = -q**2 + 4. Let n be b(s). Suppose 6 = n*y - 54. Calculate the highest common divisor of y and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 41*k**3 + 25471 - 12737 + 7*k**2 - 12736 + k + 0*k as v*k**3 + u*k**2 + z + m*k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*(-15)\/300*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -6\/25 (c) -62973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3 - 1 + 3*y**3 - 2 + 11*y + 1 + 5. Let d(l) = 20*l**2. Determine w(d(o)).\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -16*b - 58385. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n + 2*p, -3*n + 3*p = 5*p + 17. Which is the closest to 0.1? (a) 0.12 (b) n (c) -4\/3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*v + 24 = -208*v. What is the second smallest value in -1.9, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, 0.5, -2, -1\/4, -300\/11, 5 in ascending order.\nAnswer: -300\/11, -2, -1\/4, 0.5, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*566\/(-20) + (-46)\/(-115) is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 32*m + 1309. Let q be -1*(-6 + -4 + 10). List the prime factors of d(q).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/4*12\/9)\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 5, s: 1, r: 2, h: 8}. Give prob of sequence hs.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7000 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u = 10154 + 6115. Let n = -479 + u. What is the least common multiple of 11 and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 543*q**3 - 3*q**2 + 395. Let t(r) = 536*r**3 - 2*r**2 + 394. Let w(j) = -3*t(j) + 2*x(j). Differentiate w(k) wrt k.\nAnswer: -1566*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -17) + -6 + 34 + -69?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 6 (c) -3 (d) 4 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 3*g**2)*(0 + 2 - 1) + 0*g**2 + 2*g - 2*g**2 + 2 - g**2.\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.20216 + 0.20203401. Round b to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a. Let o(x) = 2*x**2 + 3*x - 3. Let f be 5*((-48)\/(-20) - 3). Let m(d) = -d**2 - 2*d + 2. Let u(p) = f*m(p) - 2*o(p). What is u(g(h))?\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9b (base 12) to base 3\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 14*t**3 + 153*t**2 - 168*t**2.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85312 is divided by 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 1814*r + 5445.\nAnswer: -(r - 5445)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 1. Let l(f) = f + 4. Let w be l(-2). What is m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:30 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 + 48*g**2 - 301*g - 2286. Calculate z(-9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-2) - 3*36\/(-27). Suppose a*p - 57 = -19*p. Solve 4*h - p*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24270376 and 6.\nAnswer: 72811128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - u**3 - u**3 + 0 + 0 to x*u**2 + j + n*u + k*u**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + -2 + 4 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 4*m)*((4 - 2 + 1)*(-4 + 3 + 2) - 2 - 1 + 5)*(-20*m**4 + 26*m**2 - 69*m**2 + 11*m**2).\nAnswer: -300*m**5 - 480*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 93 (c) 0.3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - -2*5\/(-2). Suppose 39 = -t*z + 49. Solve 4*j - 18 + z = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*z = 402*z + 66 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/2, -2\/634259, 0?\nAnswer: -2\/634259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-1944)*693 - (16 - -3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 + 213. Let g = o - -100.943. Round g to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1)*i**(2\/7))\/(i**(-2))**(19\/4))**(-34\/7) assuming i is positive.\nAnswer: i**(-2805\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 14*s**2 + 8*s - 35. Let m be p(-14). Let i = m + 181. What is the least common multiple of i and 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-4*3)**2 + sqrt(68) + ((-3*-1*sqrt(68))**2 - sqrt(68)).\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 9*r - 8*r. Let a be (-39)\/(-9) + (-12)\/r. Suppose 9*u + 4*o = 4*u + 34, -a*o + 5 = 0. What is the least common multiple of 50 and u?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.068 and -221.677 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-9) - (-4)\/(-18). Find n, given that -11*n**5 + 18*n**2 + n**5 - 4*n**5 + 4*n - 18*n**4 + 10*n**t = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5\/9, 4, 0.5, -0.2?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*v - 8 = 102*v. Let c = -1 - 0. Let m be v*c*(-10)\/(-4). Let b(o) = -o**3 + 6*o**2 - 7*o + 3. Determine b(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -63*j - 147. Let c be y(-24). Suppose 10*a + 3*a = c. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76829176.\nAnswer: 2, 9603647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 8*22\/(-4). Let h = -37 - c. Let l(o) = -o + 18. Is 5 a factor of l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 3*v**4\/4 + 314*v**2 - 2*v. Let r(z) = 8*z**2 - 17. Let k(o) = o**2 - 2. Let i(s) = 51*k(s) - 6*r(s). Calculate i(w(n)).\nAnswer: 972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3. Let l be a(1). Suppose -3*w + q + q = -25, -l*w + q + 16 = 0. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 2*a)*(-870 + 439 + 433) + 3 + 2*a - 3.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 + -180. Suppose -4*y + 3*v + 42 = 0, -5*y - 4*v - 21 = -m. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 37, -847, -2087, -3683, -5635?\nAnswer: -7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0292 - 5.3392. Let x = 0.04 + 4.96. Let s = x + f. What is s rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2513\/4 - -627. Let o = 0.05 - -2.95. What is the third smallest value in o, 0, a, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 4*h**2 + 4*h**2)*(2 - 2 - h) + h**4 + 0*h**3 + 0*h**3 - h**4 + 3*h**4 - h**4 - 16*h**4 - 5*h**4 + 6*h**4.\nAnswer: -11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:45 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11373708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 18*x = -4*x - 697 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(-m + m + 2*m)*(-5*m + 2*m + 5*m)*(-224 + 224 + 99*m**2).\nAnswer: 792*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 4. Let r be j(4). Suppose 5*z + r*z = 2*p + 254, 5*p + 10 = 0. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -92.38. Let h = -2036 - -2036.4139. Let v = h - o. What is v rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, j: 4, g: 2}. Give prob of picking 2 g and 2 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 62*b + 49*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(0 + sqrt(1216))*1 + (sqrt(1216) + (sqrt(1216) + 2)*3 - (-3 + sqrt(1216) + 2 - sqrt(1216) - sqrt(1216))))**2.\nAnswer: 1600*sqrt(19) + 121700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*x + 154, -4*f - 5*x = -2*f - 154. Suppose -2*v = -7*v + 4*k - 177, 2*k - 6 = 0. Let l = v + f. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and 35\/4479?\nAnswer: 13437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6*4)\/1. Suppose -61 = -y + 5*o, -5*o = g*y - 61 + 14. Let q = 65 - y. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 2*l - 2. Let u(n) = -2*n**3 + n**2 - n - 1. Let c be u(-1). Suppose -c*z - 2 + 14 = 0. What is the lowest common multiple of q(-1) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*i + 60 - 57 = 0, -3*i = -5*w - 3. What is the nearest to -1\/2 in 1.4, 0.1, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*n - 852797, -2*c + 2*n + 530496 - 189388 = 0. Suppose 0 = -3*k + c + 240443. What is k rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in -2, 2\/5, -0.4, 1070?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 380*l + 408*l - l**2 + l**3 - 663*l + 4 to a*l**2 + y*l**3 + v*l + x and give v.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:36 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24891 is divided by 66?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -37*w - 36 + 25 - 30*w. Let o be b(-2). Suppose 2*u = o - 7. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -1\/2 (c) 3 (d) -1.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -2*sqrt(153))*-6*-6)\/(6*sqrt(81)*-1 + sqrt(81) + sqrt(81)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0334 + 46014822?\nAnswer: 46014821.9666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0223 (b) -0.4 (c) 2 (d) -3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4175*v. Let m(p) = p**2. What is m(z(j))?\nAnswer: 17430625*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and 466?\nAnswer: -19572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/720 + ((-518)\/(-20) - -2). Let a be (-1422)\/(-237) + v\/(-5). Factor 1\/5*o**4 - a*o**2 + 1\/5*o**5 + 1\/5*o + 1\/5 - 2\/5*o**3.\nAnswer: (o - 1)**2*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 699, 2248, 5345, 10524, 18319, 29264, 43893?\nAnswer: 62740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -45d7d2?\nAnswer: -45d7d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*s = -54, 4*s + 21 = 8*f - 69 - 38 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 11:47 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21103 is divided by 6928?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2576610*l - 1308992*l - 846015*l - 3164991*l.\nAnswer: -7896608*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(54\/4)*(-7449)\/14898?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from yiyyiiiyyiyi.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16082.\nAnswer: 2, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260736 and 1542009.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 1. Let r(b) = b**2 + 13*b + 2. Let y(i) = -r(i) - 6*x(i). Is 7 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9) - 0)\/(15 - (-30608)\/(-2040)). Solve s*i - 79*i = 48 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 4*f - 103. Let o be b(-10). Is o > -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 21*u**2 - 22*u - 38. Let a be q(-21). Let v = a + -205. Is v a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/((y\/(y*y\/y**(-2\/5)))\/y*y))*y)**(22\/9)*(y\/(y\/(y**(-2\/3)*y)))\/y**4 assuming y is positive.\nAnswer: y**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/160 and 47\/8448.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3\/4 + 63*x**2 + 8640*x + 196800 = 0.\nAnswer: -40, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 485629161 a multiple of 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(57)\/sqrt(3) + -5 + (1 + sqrt(19))**2)*-4.\nAnswer: -12*sqrt(19) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 37\/139170?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 12. Calculate the remainder when 123 is divided by o(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+6401.78315\nAnswer: 6401.88315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let z = 11219 + -11219. Which is the nearest to z? (a) 0 (b) -7 (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-63)*(-2)\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by (-189)\/((-45)\/(-5))*20\/(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 + i**3 + 4*i**3 + (i**2 - 3*i**2 + 4*i**2)*(7723 - 7723 + 145*i).\nAnswer: 298*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 43*a - 41*a = 35, 0 = 2*f + 5*a - 73. What is the remainder when 280 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 433*k**2 + 57*k + 206. What are the prime factors of u(-4)?\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j**2 + 0*j)*(-3*j**2 + j**2 + 3*j**2) + (-29 - 68 + 17)*(3*j**4 - j**4 - 4*j**4).\nAnswer: 161*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 836190 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52512 (base 9) to base 11.\nAnswer: -24067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1963 - 158.8037. Which is smaller: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1\/4 (c) 0.04 (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123 - 225*g**3 + 181*g**3 + 219*g**3 wrt g.\nAnswer: 525*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 6359*r\/5 - 271588\/5.\nAnswer: -(r - 6316)*(r - 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 6.\nAnswer: 290\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 - h - 2. Let p be v(-4). Suppose -p*a + 0 = -4. Is a at least 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 287 in descending order.\nAnswer: 287, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 100*z**5 - 660*z**4 + 1344*z**3 - 784*z**2 = 0.\nAnswer: 0, 1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910 divided by 26.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/(-8))\/(-1*(-3)\/1260).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 4*x - 7. Let o be (-2)\/8 - (-7)\/(-4). Let u(y) = -y**3 - y**2 - 2*y - 2. Let q be u(o). What is t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7305.05884 + 0.417.\nAnswer: -7304.64184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -28 - 21. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48, 5, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 + 2*t + 7. Suppose 3*g = 17 - 5. Suppose 2*h = 2*o - 3*o + 7, -g*o - 4*h + 24 = 0. What is i(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) 0.3 (d) -1\/14776122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 4*h**3\/3 - 31. Let t(p) = 8*p. Calculate t(u(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -39. What is the fourth smallest value in -1, -2\/11, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-50)\/(-4))*12\/3. Suppose -b = -0*b + 5*g - 43, b = -2*g + s. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -9 in ascending order.\nAnswer: -9, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -15, -35, -55?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -2\/3 (c) -0.2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 7. Let f = -10 + 11. Let g(t) = -1. What is f*q(w) + 5*g(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.5. Let t = 10 + -6.4. Let f = t - 4. Which is the closest to 0.1? (a) f (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (sqrt(242) - (sqrt(242) + 1*sqrt(242) + -2))**2 + -5 + 0 + (-2*sqrt(288)*3)**2.\nAnswer: -44*sqrt(2) + 10608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 9. Let t be k(-6). Suppose 108 = 2*g - q, t*g - 173 = -4*q - 0*q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19*h = 22*h - 246, -4*h = -5*q + 392. Calculate the remainder when 1519 is divided by q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/5 - 4648*m**4\/5 + 325626*m**3\/5 - 3016172*m**2\/5 - 325627*m\/5 + 604164 = 0. What is m?\nAnswer: -1, 1, 11, 60, 4577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72419555 to 4 decimal places.\nAnswer: 0.7242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14365642 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1580*h - 3140.\nAnswer: -5*(h + 2)*(h + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*221\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*14\/1)\/((-64)\/32).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1746\/37 + -45708\/851. Let j = 4332\/161 - s. Find p such that -162\/7 + 324\/7*p - 8\/7*p**4 + 72\/7*p**3 - j*p**2 = 0.\nAnswer: 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -0.5, 1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 164450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -35*n**3 - n**2 - 686*n - 1377. What is o(-2)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 239 + 111. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/19 (b) -0.282 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 132*f**2 + 59*f - 244. What is the remainder when b(4) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 20*i**5 + 38*i**4 + 12*i**3 - 10*i**2 - 4*i = 0.\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**4 - 4621406*k**3 - 67114845 with respect to k.\nAnswer: -20*k**3 - 13864218*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732 by 39.\nAnswer: 244\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244911, 489796, 734683, 979572, 1224463, 1469356, 1714251?\nAnswer: 1959148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(99)\/sqrt(3)*6)\/sqrt(3) + (4*(sqrt(88)*-1 + sqrt(88)))\/(sqrt(16)\/sqrt(18)))**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 13) in base 8?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + 4 - -3) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 1489?\nAnswer: 14b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t - t + 2*t - 286 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.237 in 2, -3, -66, -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*o = -128, k + 5*o - 14 = 1. Suppose -17*t + 103 = k. Solve 4 = t*v + 2*l + 2*l, 5*l + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*(-216)\/((-60)\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 243, 967, 2165, 3831, 5959, 8543, 11577?\n\"Answer: -v**3 + 243*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 82*k**3 + 5*k**2 + 8*k + 1. Calculate o(-1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:51 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 4, 5, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + 12?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/2 - 4*n**2 + 5*n. What is the lowest common multiple of x(4) and 168\/44 + (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*132228.\nAnswer: 13222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15392244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/(-4)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -7767774.7?\nAnswer: 3883887.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o + 196469 = 45*o + 4*z, 130976 = 2*o + 2*z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.45 + -6.55. Which is the nearest to k? (a) 30 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -36. Solve 4*z - 31 = 5*q, -b*q = 2*z - 3 + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4963246 is divided by 59798.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-2)\/((-4)\/6)). Let z = 11 + -11. Let r be (z - 3\/3)\/1. What is the closest to r in c, -3, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/5 + 58\/15. Let m(r) = 11*r + 61. Let g be m(-5). Let t be (-16)\/70*(2 + (-27)\/g). What is the nearest to l in -1, 10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14569229, -14569245, -14569261?\nAnswer: -14569277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118813 is divided by 1450.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (39 + -31 + 15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (3 + -3) - -5. Let w(c) = 6*c**3 - c**2 + 2. List the prime factors of w(g).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 230 - 212 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/870*5\/(-6)*11\/(44\/256)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -1)*(-24)\/36. Differentiate 14 - i - 4*i + 0*i + j*i wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/2))**(-27) assuming l is positive.\nAnswer: l**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390579 divided by 18599.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/8 + 1197*b**2 - 22915365*b\/8 - 22934521\/4 = 0. Calculate b.\nAnswer: -2, 4789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 27115860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7427164 (base 9) to base 11\nAnswer: -2275236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from ftttrzrfrrz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12229*b**2*y - 3*b*y - 1508*b wrt b.\nAnswer: -24458*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16581030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*g + 5*g + 4*z, -2 = -z. Let w be -1 - (-6 + -1 + 1). Suppose -3*i + w = -1. Solve -g - i = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 plus -6386?\nAnswer: -6254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 6*l + 1 + 11*l + 6*l.\nAnswer: 16*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + -4 + -1*(-1 + sqrt(245)*3 + -3))*4)**2.\nAnswer: -6048*sqrt(5) + 317664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 4\/8) + 1. What is the nearest to 0 in -3, 9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.51? (a) 0.1 (b) -3\/26 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 47*v - 96 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.754331216 rounded to 3 dps?\nAnswer: -7.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107522499 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19549863 divided by 909\nAnswer: -21507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17672 and 2162.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 196094, 1, 0, 56 in decreasing order.\nAnswer: 196094, 56, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1171660*b + 700682*b - 6489674*b.\nAnswer: -6960652*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654915, 1309822, 1964729?\nAnswer: 2619636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(144) - sqrt(16)) + (sqrt(112)*1)\/sqrt(7))\/(sqrt(96)\/(sqrt(48)\/sqrt(4)*-6))*2*-1.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.4, 13\/9, -0.1, -3 in decreasing order.\nAnswer: 28, 13\/9, 0.4, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*-4*5\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12*-1*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -94.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596980 rounded to the nearest 10000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/20 + x**4\/3 + x**3\/3 - x**2 + x. Let m be h(-3). Is (0 + (7 - m))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 89*a**4\/24 - 2*a**3\/3 - 3*a**2. Let m be g(1). Calculate the highest common factor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2209, 2217, 2227, 2239, 2253?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 410, 854, 1464, 2234, 3158, 4230?\nAnswer: 5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 66427*r + 3*r**2 - 9 - 66427*r - 25. Let c(t) = 152*t - 2*t**2 - 152*t. Calculate c(o(i)).\nAnswer: -18*i**4 + 408*i**2 - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpq when three letters picked without replacement from pqqqqqqqqqqpqpqqqqqq?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 2. Let q = 78 + -147. Let d = 79 + q. Solve -5*f + z = -3*w - d, 3*w = f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2288*t**3\/3 - 234*t**2 + 27. Find the second derivative of s(i) wrt i.\nAnswer: -4576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heyfcyfeccffmfc. Give prob of sequence ef.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19810 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -2*i - 2*b + 96 = 0, -193 = -n*i + b + 4. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 5*y**2 + 4*y + 7*y to d + s*y + i*y**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -172. Let r(v) = v**2 - 4*v - 4. Let x(m) = -3*m**2 + 11*m + 11. Let i(d) = p*x(d) - 11*r(d). Let q(y) = -19*y**2. Give q(i(l)).\nAnswer: -19*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3)\/(1\/(-2)). Suppose o - u = -0. Suppose -x - o*w = -6*w - 12, 2*w - 4 = -2*x. Solve -4*a = 5*b - 2*b - 31, -x*a = b - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 70. Let i = r - 76. Let o = -26 - i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -2*j + 12, 0 = -2*r - 2. Suppose 5 = -4*h - j. Let z = h + 4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 0.0003, -2\/11, 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by (12*1)\/((-393)\/(-48) - 8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = -4*m, 4*m = 6*n - 2*n + 16. Let q be (-1 - m)\/(8\/(-80)). What is the greatest common factor of 80 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.4 and -0.1.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((-6)\/144)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 42*y. Let k(b) = 11*b + 603 - 1230 + 627. What is a(k(n))?\nAnswer: 462*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -44, -56\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 2 h when four letters picked without replacement from {p: 12, t: 1, h: 3, f: 4}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:14 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k - 10. Let b(r) = 11*r + 7. Let c(q) = 15*q + 9. Let n(m) = -4*b(m) + 3*c(m). Give 18*n(w) - 2*o(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*i - 21 + 16 - 8)*((-5 + 0 + 4)*(i + 0 + 0) + i + i - 5*i) to the form g + u*i**2 + v*i and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179.5 + -282. Let v = k + 98.39. Let t = v + 3.372. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 20*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 29. What is the common denominator of 63\/8 - 1*-2 and ((-54)\/i)\/(10\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 11*k**2 - 31*k + 25. Let i be m(-20). Let u = i - 3011. Suppose -11*z = -u - 493. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:27 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 3*a**5 - 3*a**5 + (-27*a - 17*a**2 - 18*a**2 + 25*a)*(-a - 3*a + 2*a)*((6*a - 4*a - 4*a)*(a - 2*a - a) + 3*a**2 - 5*a**2 + 3*a**2).\nAnswer: 348*a**5 + 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 2}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6*v**4 - v**4 - 7 + 2*v**2 + v to the form z*v**2 + p*v + j*v**3 + o + g*v**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/21*(-42)\/48*-4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -31ba33?\nAnswer: 31ba35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 284689\nAnswer: 17081.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486967910.\nAnswer: 2, 5, 2707, 128813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1404476 and 1404523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - i + 2 = 0, i + i = -3*a - 6. Let g be 51*(-2)\/(-6) - a. Do 19 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*f + 6, 4*f + 4*h = -0*h. Let a = 63 + -62.9. What is the nearest to a in -2\/5, 5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 22*b**2 + 2*b. List the prime factors of i(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icicccicccicic. What is prob of sequence cc?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.35517 rounded to two dps?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:20 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14138818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:08 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 53 + 4 + (-8)\/4. What is the greatest common factor of 140 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 77082120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -81. Let v = j + -36. Suppose -v*y + 2*h + 808 = -0*h, h = 4*y - 1079. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2307472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u + 2*u**3 + 10*u - 5*u - 4*u**4 - 2 in the form g*u + m*u**4 + p + f*u**2 + n*u**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932 plus -0.03?\nAnswer: 2931.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.50769383 and -4077.3.\nAnswer: -4076.79230617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -8 + 12*g - 4*g**5 + 14*g**2 - 6*g**4 + 8\/3*g**3 - 2\/3*g**6. Factor d(l).\nAnswer: -4*(l - 1)*(l + 1)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 4, 79, -4, 5, 2 in descending order.\nAnswer: 79, 5, 4, 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1347842735 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*j - 126. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*r - 36765 = 185*r - 10*r - 390*r for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17047, 17039, 17017, 16975, 16907?\nAnswer: 16807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -407\/6. Let w be -3 - 3*(-2)\/3. Which is the closest to w? (a) 1 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111462 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108634363*w**2 + 81917519*w - 2 wrt w?\nAnswer: -217268726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13197 is divided by 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -93430468\nAnswer: -18686093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 20*d + 226 = -336. Is 125 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kinn when four letters picked without replacement from {m: 4, n: 4, i: 2, k: 9}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 + 44 + 97 - (-4 + 3 - 18).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/((-156)\/143)*54\/(-495)*25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-44)\/1452) + (-824)\/88*1?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 67. Find the third derivative of 24*h**3 + 12*h**2 + 2*h**3 + 2*h**3 + n*h**3 wrt h.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200\/973 or 913?\nAnswer: 913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 78 + 112. Solve -3*u - p = -35 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:10 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004253 rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -217 + 98 - l**3 + 105 - 20*l + 23*l**2. Let o = 23 + -2. What is the smallest common multiple of o and m(22)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.282 - 2.175. Let d = -0.107 + f. Which is the closest to 0? (a) d (b) 44 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.36 (b) -6 (c) -45\/1061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 17*j**2 + 14*j - 23. Calculate q(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*-130239557\nAnswer: 520958228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 + -0.3. Let a = n - 0.14. Which is bigger: a or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*c**3 + 9*c**2 + 75*c**3 - 9*c**2.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -11. Let x be (-70)\/25*i\/(-4). Suppose -c = 5*a - 11 - 14, 3*a + x = -5*c. Let j(v) = v + 4. Calculate j(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377 - 1379 = q, -4*l + q + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13389978 + 2?\nAnswer: -13389976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 13 - (1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142357*z**6 - z**2 + 9*z + 3874?\nAnswer: -17082840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t**2 - t)*((0 - t + 0)*(1 + t - 1) - 2 + 2 - 4*t**2 + 0 - t**2 + 0) in the form s*t + w + c*t**4 + b*t**2 + j*t**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4\/1403 (b) -6\/5 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-393)\/(-524) + (-33)\/12)*(-45)\/(-20)*6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 112448*-1927\nAnswer: -216687296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -525.\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 87*b - 1022.\nAnswer: -(b - 73)*(b - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-2 + (-240)\/(-3)). Let c = -32 - y. Is 7 a factor of 0 + 2 - c\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - p = 2673 - 2174, 3*d = 2*p - 276. Suppose -4*m = m. Suppose 2*k = -m*k - 194. Is d at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 = -64. Find the third derivative of -19*b - s*b**3 + 0*b + 21*b + 3*b**2 wrt b.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2. Let c(g) = -93*g**2. Calculate c(l(x)).\nAnswer: -4557*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:18 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/4 + -28. Suppose 0 = 4*j + q + 17, 0 = j - 3*q - 0*q + 14. Let u(n) = n**3 + 6*n**2 + 6*n + 6. Let h be u(j). Is g != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**2 - 7*p + 8. Determine x(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 4. Let x be z(-8). Suppose 3*i - 4 = -3*p + p, -24 = -2*i + x*p. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240 + 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 2 - 2) + 3. Suppose -i - s = i. List the prime factors of 4 - -6*(-10)\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*m**2 - 10*m**2 + 15*m + 50 + 26*m**2 - 14*m**2.\nAnswer: -5*(m - 5)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 70 = -50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0.0668621647?\nAnswer: -13.9331378353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**6\/30 + y**2\/2 + 3*y - 1. Let r(b) be the first derivative of d(b). Find the first derivative of r(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 29, 0.3, 1\/339, -5.\nAnswer: -5, 1\/339, 0.3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4433\/1612)\/(2 - (-9)\/(-3))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(6\/(-15))\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 496 + -183. What are the prime factors of c?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x - 274, -2*d + 2*x - 22 + 134 = 0. Factor -96*q**2 - 6*q**4 + d*q**3 - 4 - 13 + 69*q - 1 - 3*q**5.\nAnswer: -3*(q - 1)**4*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1251815 by 250363.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 2*h**3 + 99*h - 110 - 2*h**4 + 226 - 115 as o + b*h**3 + x*h + d*h**4 + z*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64384 = 5*w - 3*d, -60 = 4*d - 68. List the prime factors of w.\nAnswer: 2, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3*x**5\/20 + 25*x**3\/6 + x**2. Let s(m) be the first derivative of r(m). Let g(y) = 2*y**2. What is g(s(o))?\nAnswer: 648*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.039 - 15.1. Let u = l - -1.061. What is the nearest to 2\/7 in 2\/17, u, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 69.9. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2\/5*k**5 + 0*k**2 - 2\/21*k**7 + 0*k**6 + 8*k + 0 + 0*k**4 - 2\/3*k**3. Factor a(c).\nAnswer: -4*c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j = 865 + 542 + 1044 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151147782 divided by -2963682.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 12. Let o = 1087\/56 + -153\/8. Which is the third smallest value? (a) 4 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2437938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -5912.7408.\nAnswer: -23650.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 9) in base 12?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -3.03. Let t = -1 + 1. Suppose 5 - 9 = 2*o + 3*i, 0 = -5*o - 4*i - 17. Which is the smallest value? (a) q (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 56, 83, 110?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2*-1292.\nAnswer: -6718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06176 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034453 (base 7) to base 11.\nAnswer: 87012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 126382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*((b**7\/b)\/b)\/b*b*b*b\/(b\/(b**(12\/5)*b))*b assuming b is positive.\nAnswer: b**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1196 and 131\/461820.\nAnswer: 138084180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -183. Suppose 5*z = 4*m + 380, -m - 11 = -z + x. Let q = 249 + m. List the prime factors of q.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 - 215*n**2 - 225*n**4 - 4*n**5 + 208*n**4 wrt n?\nAnswer: -300*n**2 - 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**37*((n\/(n**(-1\/3)\/n))\/n)**(1\/26) assuming n is positive.\nAnswer: n**(5774\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(402\/14472).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7384, -29395, -66048, -117319, -183184, -263619, -358600?\nAnswer: -468103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-317\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/4 - (-2)\/8. Suppose -4*f + 2*f = -630. Suppose 0 = -n*i - 0*i + f. What is the highest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(117)*-2*-1 + 4 + -1*-1*sqrt(117))**2 + 2).\nAnswer: 648*sqrt(13) + 6546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 90. Which is the second biggest value? (a) 1\/9 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -972.17 + 969.17. Suppose -5*k = -k + 16. Sort -136, k, j.\nAnswer: -136, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 262068, 524133, 786198?\n\"Answer: 262065*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 1 - (105 - 190 - -153)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/29 (b) -3 (c) -4.5 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3997624 divided by 4.\nAnswer: -999406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 159 = -3*m, -5*m = -10*m - 5*h + 305. Calculate the lowest common multiple of m and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 - 33*a. Suppose 30*f - 48 = 18*f. Suppose 46 = 2*c + f*r, c = -2*c - 3*r + 84. Let z(j) = -j**2 + 4*j. Give c*z(t) + 4*x(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 20*d**2 + 5*d - 33. Calculate the remainder when c(-19) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141204515 (base 6) to base 3\nAnswer: -12101102210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 463 - 446. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 282*c**2 + 1394*c - 2372. Calculate f(277).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -41 - (20 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 11*w**2 + 12*w + 15. Let y be d(10). Suppose 4*k - 17 = y. Suppose k*z - 5*z - 2056 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, t: 7, s: 2}. Give prob of picking 1 t, 1 l, and 1 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0701287 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 120.55 * 0.53\nAnswer: 63.8915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -12?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -142 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 62*a**2 + 8*a + 7. Let k be 1*((-291)\/33 + 12\/(-66)). Let y be m(k). Suppose -4*v + y + 1227 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from cvccvcvcvvccc.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f - 657 = -45*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 + 181*o - 1242. What is w(8)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -8, -48, -104, -176, -264?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 2. Let s be o(4). Let n = -9 - s. What is the nearest to n in -3\/2, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -13. Let x be 18\/(-5) - ((-26)\/10 + q). Let l(s) = -12*s - 3. Let y(f) = 5*f + 2. Let m(u) = 2*l(u) + 5*y(u). Calculate m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115741\/49260 + -1\/2463. What is the common denominator of 31\/2 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-2)\/(-1 + 3). Suppose -3*w = -f*q - 4, -2*w - q = -5 - 5. Suppose a - m + 13 = -w*m, 14 = -3*a - 4*m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*v. Let s be -1 - v\/(1\/(-6)). Solve -6*t + 3*t = -s*z + 3, -z - 5 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10332, 3, -24?\nAnswer: -10332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgfff. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Let y be (-1)\/1*(s - 2). Let k(t) be the second derivative of -t**4\/12 - 5*t**3\/6 + t**2\/2 + 5*t. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2510 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjvj when four letters picked without replacement from pppvvjvjjjvvj.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20 and 97\/58.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-16 + 5) - 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubbw when four letters picked without replacement from tdbdbbbwutwddtdtudww?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 49 = -3*g - 99. Which is the closest to -1? (a) g (b) -5\/4 (c) 1\/8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134864249 is divided by 290.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9147322 greater than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = 4*h, h - 2*c = -4*c + 7. Let g(t) = 6*t**2 + t + 12. Let p(f) = -12*f**2 - 2*f - 26. Let y(w) = -13*g(w) - 6*p(w). Determine y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8856154316?\nAnswer: 2, 421, 5258999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 3761131?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/3 - u**2\/2 - u. Suppose 157*n - 9 = 166*n. Let c be m(n). Solve -5*p = -3*h, h + p + 9 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 11 = a + 4*c, 5*a - 3*c = 11. Solve -1 + 15 = -a*x + l, -3*x - 13 = -2*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.23 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:38 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.30379 * 0.19\nAnswer: 0.0577201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f\/(((f*f**13)\/f)\/f))\/((f*f\/f**1)\/f**(5\/3)) assuming f is positive.\nAnswer: f**(-397\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12982 + 14746 = 5*r - 4*m, 0 = -5*r - m + 27718. Is r a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Let j be -1 - 0 - (-15)\/s. Calculate the remainder when 25 is divided by (-185)\/(-15) + (-4)\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(6) - -1*sqrt(600) - sqrt(6))*3)\/((sqrt(4860)*1)\/((sqrt(240)\/sqrt(4))\/sqrt(10))))**2*-2.\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 181.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 4*n**2 - 5*n + 3 + 4*n**2 + 13. Is r(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -17. Let h(u) = -u**3 + 7*u**2 - 7*u + 6. Let x be h(r). Let i(g) = -g**3 - 16*g**2 + 19*g - 302. Let s be i(-18). Solve -d + 2*d + s = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21249 and -0.068.\nAnswer: -1444.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72036 and 40232106?\nAnswer: 80464212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10247.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 80) + 2 - ((-91 - (-27 + -26)) + 38).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19636 + -5526. What is b rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by -5.\nAnswer: 201\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 16. Calculate the smallest common multiple of 18 and q(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.9641?\nAnswer: 0.28923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + 3\/5. Let d(p) be the first derivative of 7*p**2\/2 - p - 1. List the prime factors of d(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -4, -23\/3, 85, -3 in ascending order.\nAnswer: -23\/3, -4, -3, -6\/7, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 d, and 1 h when four letters picked without replacement from {l: 4, d: 6, h: 1, z: 5}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*a. Let c(z) = 0 + z - 4 - 3 + 6. Let l be c(a). Let j(g) = -g**3 - g - 1. Give j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -5. Let c(o) = -o + 10. Let l be c(s). Solve l*x = -2 - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, -0.16, 135, -2\/7, -9\/4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(2\/23)*a)\/a*a**6)\/((a**1\/a)\/a**(-1)) assuming a is positive.\nAnswer: a**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6 and 237\/(-5)*4\/(-504)*-7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + 51\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(1785\/75))\/(44\/(-28)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.117 (b) 4\/7 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(693) + 2*sqrt(693))*-6)\/sqrt(11)*-1)\/(-1*-1*sqrt(1089) - (sqrt(1089) - sqrt(1089)*-1*3)).\nAnswer: 36*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16620149 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99142?\nAnswer: 2, 19, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (-34 - -24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.48572 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*l + 10 = 0, -3*w + 4*l = -8*w + 21. Let h be (-1)\/((0 - w)\/(-20)). Let g = -11 - h. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17694 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190531851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1294405.\nAnswer: 5177620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -65, -63?\n\"Answer: 2*n - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 11. Let u be w(-5). Which is the second smallest value? (a) 0.4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**2 + 3*c + 2. Is 3 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*g**2*n**3 - 2*g**2*n**2 - g**2*n + 34*g**2 - 1067*g*n + 9146*n**3 wrt n?\nAnswer: -702*g**2*n - 4*g**2 + 54876*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 251*v - 91*v - 80*v - 83*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -100 (b) 0.1 (c) -12 (d) 0.654 (e) 0 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(25\/2))**19*(x**0)**22*(x\/x**(2\/3)*x)**45 assuming x is positive.\nAnswer: x**(955\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 0 (b) 0.2 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27bb + -4982?\nAnswer: -7470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 5140*z + 25732. Calculate w(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) -5 (c) -3 (d) 0.5 (e) 2\/9 (f) -54946 (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + (-58)\/57. Let m = -31149 - -218039\/7. Which is the third biggest value? (a) -1\/3 (b) 2\/19 (c) m (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195807335 * -1\nAnswer: 195807335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:05 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/101 + 319\/808. Suppose 14*p - 15*p + 3*u = 23, 2 = 2*p + 6*u. Sort -2, q, p in decreasing order.\nAnswer: q, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -57. Sort 1, m, -5, 2 in decreasing order.\nAnswer: m, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - 128.2. Let p = 10 + g. Is p equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 18*r + 7 + 28 + 42 as n + o*r and give n.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j - 6*j + 7*j**4 + 0*j + j wrt j.\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 + 6*u + 2. Let h be f(-6). Let a be 3 + -2 + -4 + h. Does 11 divide 2 + 8 - a*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 143*c**2 + 138. Let l(d) = d**2 + 1. Let b(r) = l(r) - u(r). What is the first derivative of b(g) wrt g?\nAnswer: -284*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let j(d) = 6*d + 705. Let r be j(-116). Let l = r + c. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6872 = -20*w + 848. What is the remainder when w is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - c + 468, -5*c - 78 = -5*q + 4*q. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100439 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642424 divided by 160606.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-28)*((-136)\/(-3))\/4)\/(396\/264)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223956 and 140040.\nAnswer: 871188840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 - -255. Let o be (-1612)\/(-279) - 4*2\/(-36). Let h = 38 - 24. Solve n*y + h = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(60\/75 - 2\/5). Solve -14 = -p*d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 5)*1\/1. Suppose -6 - z = -m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70, 138, 200, 256, 306, 350, 388?\n\"Answer: -3*g**2 + 77*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/7427 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2517 - 12\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423413 (base 8) in base 5?\nAnswer: 214134444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*g - 5, -105 = 4*q - 4*g - 85 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:10 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffs when four letters picked without replacement from tfttsftftfsftttttf?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (285\/(-114) - (-3 - -1))\/(2\/(-62064))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(2) - (sqrt(2) + 0)) + 4)**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -70. Suppose -4*h = -2*h - 8. Calculate the least common multiple of v and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose -3*y + j*c + 72 = 2*c, 4*y - 86 = -c. Suppose -m + 4*t + y = -0*m, -4*m = 5*t - 67. What is the highest common factor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*n + 27*n**2 - 25*n to the form a*n + j + x*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 1106*o**4 + 177291*o**3 + 327042*o**2 - 3657312*o + 3151872 = 0. Calculate o.\nAnswer: -912, -192, -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.51 + -0.11. Let n = -34 - -33.4. Let k = v - n. Sort 0.3, -4, k in decreasing order.\nAnswer: k, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.583461 * 0.1.\nAnswer: -1.6583461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from {q: 7, e: 6, w: 1}?\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - -5.8. Let j = d - 26.2. Let b = 23 + j. Sort -4, b, 3.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14125 less than -606077?\nAnswer: -620202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551184255.\nAnswer: 3, 5, 439, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 4\/(-3)*-3. Let h(q) = 0*q**2 + 0*q**l - 2*q**2. Let b(g) = 5*g. Give b(h(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-28))\/((-1)\/7). Suppose 5*n + 10 = -5*h, 6*h + n = f*h + 4. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslllslljjllllllsjj. Give prob of picking 1 l and 2 j.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 11.6 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/45*73\/((-1533)\/(-420))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 + 4*q**3 + 0*q**3 - 5*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:23 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -2\/111, -5, 5 in increasing order.\nAnswer: -5, -1.4, -2\/111, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186219\/12 - (-413)\/236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9*w - 30. Calculate the remainder when 16 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 + 19*f + 9. Let y be q(10). What is the second smallest value in y, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5)*2*5. Let t(f) = 7*f**2 + 2*f. What is the tens digit of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isisi. What is prob of sequence siii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 304?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798827469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let v(b) = -8*b - 1. Let d be v(-1). Let q be n(d). Let x = -1\/8 - -1\/4. What is the nearest to q in x, 5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 56 = -b. Let y = b - 31. Let w be (y - 1 - 616) + 0. Round w to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950235227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 9) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -5, -4, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, -4, 4.\nAnswer: -4, 1, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 35, 54, 73, 92, 111?\n\"Answer: 19*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/2)\/k**(-6\/11))**(6\/25)*((k\/(k**(6\/5)\/k))\/(k\/((k\/((k\/k**(-5))\/k))\/k)))**2 assuming k is positive.\nAnswer: k**(-2527\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 42576206.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83597 is divided by 400.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410126828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b - 4. Let p(a) = -273*a - 19. What is -p(u) + 5*x(u)?\nAnswer: 238*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 7489.\nAnswer: -11\/7489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:53 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:43 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407481 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*y + 2420 + 5*y**2 - 8*y**2 + 0*y**2 + 106*y + 8*y**2.\nAnswer: 5*(y + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -120. Is 3 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057178 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 150 - 31 = 0. Let i(y) = -3*y - 2. Let p(s) = 10*s + 7. Determine a*i(j) + 2*p(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12 times -1?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, x: 5, h: 3, w: 2}. Give prob of sequence wxh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17400 divided by 6?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 2486.789.\nAnswer: 2487.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1158)\/33 + (-18 - (-22)\/(-605)*-470)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q + 41. Let g be y(-3). Is 1\/797 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/((-2)\/(-8)). Suppose 4*s + 5 = -3. Sort s, 1, t in ascending order.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/17 (b) -0.5 (c) 4\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m**4 + 24*m**3 + 24*m**2 - 62*m - 6. Let j(l) = -2*l**4 + l**3 - l**2 - 2*l - 1. Let y(x) = 6*j(x) - p(x). Factor y(w).\nAnswer: -2*w*(w - 1)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000111 (base 2) to base 5.\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*i + 66 = -422*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -42, -33, -6, 45?\n\"Answer: h**3 - 10*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 2036335*t**2 - 199596845*t + 4890416825.\nAnswer: 5*(t - 49)**2*(t + 407365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**3 - q**2 - 5*q - 4. Let l be b(-4). Suppose 2*c - l = -2*s - 2*s, 2*c + s = 512. Let a = c + -111. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260412450.\nAnswer: 2, 3, 5, 233, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 10*l + 64. Suppose 2*j = 9 - 21. Let n be f(j). Solve -3*i - n = i + 4*k, 3*i - 5*k = -19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 + 132*t**2 - 2304*t + 4096 = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*f + 2)*(-1 + 4 + 1 + (2 + 3 - 3)*(-4 + 2 + 0) + 2 + 2 - 2).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + a - 3, -z + 6*a - 9 = 3*a. Let t be z*(9\/6 - 1). Sort t, -3, 1 in descending order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 3 = 3*i. Let k(t) = t**2 - 1. Let m(l) = -l**3 + 9*l**2 + 5*l + 6. Let c(a) = i*m(a) + 3*k(a). Give c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231727 is divided by 43990.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(180) + 4)**2 - ((sqrt(180)*-3 + sqrt(180))**2 + 3).\nAnswer: -542 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18. What is the closest to y in 2, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25, 26, 31\/2, -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -1.426\nAnswer: 1.2834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 119, 118, 117, 116, 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/25 + -4\/25. Let w be 20\/(-15) - -1 - (-1)\/21. Put -2, f, w in ascending order.\nAnswer: -2, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.009163*-0.039\nAnswer: -0.000357357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2592 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -764986 and -8815.07.\nAnswer: -773801.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -273. Let i = 200 - l. What is the highest common factor of 48 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160165 = -c + 5239836. Let m be (2 + (-1 - c))*1. What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12915, -12023, -11131?\n\"Answer: 892*q - 13807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 159. Suppose -16*m = -4*m - y. Let x(z) = z**2 - 4*z - 6. Calculate x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 277*y - 1129. List the prime factors of m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 5*w - 8. Let p be 4*-1*2 - -1. What is the remainder when 192\/7 + (-39)\/91 is divided by r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4387 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 133006*n + 24. Let f be c(-4). Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4258068328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m + 7. Let p be f(-2). Suppose 0 = p*t + w - 14, 12 = 2*t - 3*w + w. Suppose t*b = -b + 360. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**3 + 41*l**2 + 109*l + 59. What is w(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3617?\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 126*t + 6 + 4 - 17.\nAnswer: 126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 6083.436741\nAnswer: -6083.546741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20328, -10378, 0.2 in descending order.\nAnswer: 20328, 0.2, -10378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39201129 and 6?\nAnswer: 78402258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + 12.4. Let y = o + -10.8. Which is the fourth biggest value? (a) -0.5 (b) -0.3 (c) y (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 40*v - 4 - 33*v to u*v + x and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z = -82*z + j + 16, -88 = -23*z - j. Let r be -10 + (2 - (0 + 1)). Let d be r\/(-1) + 2 + 0. Solve -5*l = -3*y - 11, z*y + y = l + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 49 = -2*b, 3*b = 5*g + 41 + 20. Suppose -6*o + 3*o = -b. What is the second derivative of o*v**3 - 4*v - 2*v - 2*v**3 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1263 - 1352. Suppose 3*c = -c + 928. Let t = c + d. What is t rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/66728 or 1?\nAnswer: -9\/66728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -536 (base 7) in base 2?\nAnswer: -100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*z + 106, -c + 63 = z - 0*z. Suppose 12 = -4*b - 4*w, 0*b + b + 15 = 3*w. Calculate the remainder when z is divided by b\/(-15) - (-196)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 1920*w + 1917.\nAnswer: 3*(w + 1)*(w + 639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(4400) + 1 - (2*sqrt(44))**2*-5) + 1).\nAnswer: 120*sqrt(11) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:16 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163\/3 + -55. Let t be (50\/680)\/((-20)\/(-32)). Let v = -85 - -85.5. Which is the fourth biggest value? (a) v (b) i (c) 0 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 2*w - 1, -5*w - 24 = -3*i + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*w = 112 - 512, 4*h - 4*w + 284 = 0. Let r = h + 136. Let t = r + -23. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-35))\/((-15948)\/(-14176)*(-1)\/(-15)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 16729 = -17630. What are the prime factors of a?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773824302?\nAnswer: 2, 3, 43, 999773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2259*y**3 - 1603.\nAnswer: -6777*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 + -85. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1077 + 17*g**2 - 1077)*(2*g**2 + 3*g**2 - 4*g**2) + (4*g + 3*g - 5*g)*(395 - 395 + 9*g**3) to r + i*g**2 + u*g + l*g**4 + a*g**3 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -13, -4 in descending order.\nAnswer: -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.0824 centuries in months?\nAnswer: 402098.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -38. Suppose 0 = -p*q - 3*s + 3, -2*s + 3*s = 4*q - 16. Suppose -3*m = -q*i - 6, -i = 5*m + i + 4. Solve 5*u + m*u + 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.78 + -1.78294. What is w rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61\/29, -0.4, -0.5, 5\/9, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 1 - 1 - l + 168*l**3.\nAnswer: 168*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1903*i*v - 1180*i - v - 5 wrt v.\nAnswer: -1903*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*b - 3*z, -3*z + 1 + 1 = -2*b. Suppose -b*i + 34 = a, -2*i + 7*i + 4*a - 31 = 0. Suppose i*h + 34 = 9*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22937 + -22937.05. Let o = -0.6 - -0.2. What is the second smallest value in q, o, 5, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:08 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10586\/3685)\/((-2)\/10). Which is bigger: v or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8982 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-31)\/(-9)) + 140\/35\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310500 divided by -424500?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -2\/3*z**3 - 9 + 3\/2*z**2 + 5*z + 1\/2*z**4. What is the second derivative of c(i) wrt i?\nAnswer: 12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177456664\/15 + -11836349. Let g = a - -5901. Calculate the common denominator of 59\/30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2. Suppose h - 2*a = 52, 0 = -h - 0*a - a + 37. Suppose -4*n = 2*n - h. Let t(v) = n*v - 18*v + 10*v. Give t(b(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**3 - f**2 - f - 3. Let s be 6*(12\/9 - 1). What is the tens digit of u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -443662*h + 14. Let b = -89 + 86. Let g be q(b). What is g rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 1db0?\nAnswer: 1db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*1)\/(2\/3). Let q be (-3)\/c*(-264)\/2. Suppose q = p + 2*p. What is the lowest common multiple of 6 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14)*((-50)\/325)\/(108\/39))\/2\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3*a + 4. Let t = 27 - 25. Suppose -8*v + 4*v + 48 = 4*g, -t*g = -v. What is the tens digit of n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 20 = 0. Solve 1 = -y*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 86 = -y, 2*y = -2*y + 20. Let n = a + 52. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12601, 25230, 37877, 50548, 63249?\n\"Answer: c**3 + 3*c**2 + 12613*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 5*l**2 + 33*l. Let d(i) = -5*i**3 - 6*i**2 - 32*i. Let p be (10\/(-6))\/((-53)\/159). Calculate p*d(r) + 6*z(r).\nAnswer: -r**3 + 38*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + (28 - 2) + 13 - (2 - (-1 - -10)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 368 + -261. What is the derivative of 11*r**2 - 40 - 30 - 11*r**2 + x*r**3 wrt r?\nAnswer: 321*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17e + -409c2?\nAnswer: -40b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 112194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:55 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-10) + 2\/4. Suppose 0 = z*h - 13 + 3. Suppose h*o + 39 = 324. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 29 = 3*c, 389*c - 1 = 387*c - p. Solve -2*r - 2*j = -98 + 96, c*j = 4*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211.918 + 11.342. Round h to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**3 - l**2 - 16*l + 13. Let t(r) = r**3 + r**2 - 2*r - 1. Let g(u) = -i(u) + 6*t(u). Give g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 5. Let v(o) = -o - 6. Let d(j) = -4*v(j) - 5*z(j). Let a(b) = -5*b + 3. Let r(l) = -a(l) - 2*d(l). Let p = 3 - 2. What is r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10 and -4\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -81, -54, -5, 72?\n\"Answer: u**3 + 2*u**2 - 2*u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1658 (base 9) to base 12.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 4. Let o(v) = 2*v - 10. Let y(x) = 6*o(x) - 15*w(x). Let k(z) be the first derivative of -z**3 - 1. Determine y(k(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u - 28. Determine z(20).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734 = -278*z + 296*z - 140 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425465541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - -2 - -2 - (-20 + 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 - 0.3. Let n = -7 + 7. Let l = n + d. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2 + (-1 + 2 + 0)*(4 - 3 + 0) + 4 - 1 - 4)*(-2*z + 2*z - 2*z) in the form m + c*z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, 0, 7, 187, 18 in ascending order.\nAnswer: -4, 0, 7, 12, 18, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2117763937 from 6.6.\nAnswer: 2117763943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -45*i**3\/2 + i**2 - 5*i. Let c be g(-1). Let s = c - 58. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 (base 12) in base 2?\nAnswer: 1000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*k - 18*k + 744 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-14)\/(-3)*(-18)\/(-16)*5616\/4212?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(22\/66).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 34*r**5\/5 + 19574*r**4\/5 - 5784*r**3\/5 - 13824*r**2\/5 = 0.\nAnswer: -576, -12\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*r + 1343*r**2 + 52*r + 76 + 2795*r**2 - 96*r + 117 wrt r?\nAnswer: 8276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((97440\/360)\/2)\/((-28)\/(-6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -980.272 take away -2524.2?\nAnswer: 1543.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 56066.2052.\nAnswer: 56066.7052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(3328)*-2 + sqrt(3328))\/sqrt(2))\/(-5*sqrt(18) + sqrt(22)\/(sqrt(22)\/sqrt(2))).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-2)\/(-3). Let y be 1*(a - 12\/10). Let i = -753 - -754. Sort i, y, -3\/2 in descending order.\nAnswer: i, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596420.\nAnswer: 2, 5, 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -3*b, 3*b + b = 5*z - 18. Let w be 359\/5 + b\/(-10). Suppose 3*o - 3*u - 35 = o, -w = -4*o + 4*u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.338 less than 3?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.6 + -8.6. What is the third biggest value in -5, -0.5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.9 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mizfimzzzzzimxxzzmzi. What is prob of sequence fzx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -277.2805 to zero dps.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90693597 by -3.\nAnswer: -30231199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.1513 take away 1.859?\nAnswer: -340.0103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 47*q + 9. Let i(j) = 70*j + 13. Give -8*g(k) + 5*i(k).\nAnswer: -26*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12238 divided by 3?\nAnswer: -12238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14191\/10 + 86507\/70. Let l = u - -183. Let d = -645 + 645.3. What is the nearest to l in 4, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 40. Let p be -3*(8\/(-12))\/(6\/75). Suppose 5*x + 3*w - 26 = 0, 0 = -4*x - w - 0*w + p. Is z smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fadtamv. What is prob of picking 1 a, 1 t, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 3*f**3 + 7 - 9 + 60*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 70 - 4*r**2 - 4*r - 58 - 3*r + r**3 - 2*r. What is the units digit of k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 2*f**3\/51 - 1594*f**2\/17 + 1270418*f\/17 - 1685. Suppose s(x) = 0. What is x?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 108 + 408 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 3dbf?\nAnswer: -3dbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/55 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13\/260)\/((-62)\/(-24) + -2) and -8\/49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4067*k + 4071*k - 17 = q, 4*q = 2*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -562*j - 1913. Determine q(0).\nAnswer: -1913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6013 - 3794. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49673000 divided by 25?\nAnswer: -1986920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**3 - 10*v**2 + 1298*v + 8598.\nAnswer: 3*v**2 - 20*v + 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374\/63 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 165, 364, 643?\n\"Answer: 40*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + -3*sqrt(192) + 5 + sqrt(192) + 1))**2.\nAnswer: -512*sqrt(3) + 12304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124227920 and 586240?\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:45 AM?\nAnswer: 99","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 55*t = -58*t + 15, 8*a + 5*t = 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 530902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 10839.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 59337*q**2 - 3*q - 1. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 8*l + 0*l**3 + 5\/2*l**4 + 0*l**2 + 1 + 7\/4*l**5. What is the third derivative of t(k) wrt k?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 31*y**2 - 4*y + 3. Let m be u(1). What is the nearest to m in -2\/13, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08849622 take away 3?\nAnswer: -2.91150378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1027236 divided by 294.\nAnswer: -3494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:54 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 325*i + 12723. Calculate s(-39).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(81) + sqrt(81) + sqrt(81))\/sqrt(3) + 2.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.550768 + 1.5659. Round x to 4 decimal places.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340 (base 9) to base 10.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1)\/sqrt(11) + -5.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.046 + -0.154. Suppose 10 = 3*a + r - 5, -4*a + 18 = 2*r. Let l be (-82)\/a - 2\/6. Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b - 365. Let j be n(41). Solve -5*m + 3 - 9 = j*v, 0 = m + v + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i - 985. Let d be q(52). Solve -d*t + 4*m - 6 + 3 = 0, 2 = -2*t + 5*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1800, -1766, -1708, -1626, -1520, -1390?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -43. Let h = 7\/6 + -13\/10. What is the second smallest value in h, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 0*l**2 - 1 + 9 + l**2 - 27 + 33. Let n(k) = -2*k**2 - 4*k - 14. Determine -3*n(m) - 4*q(m).\nAnswer: 2*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + r = 8, 5*h - 22141 = 16*r - 22161 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -88 (b) -2\/17 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4912?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20206.47 + 20254. What is t rounded to 1 dp?\nAnswer: 47.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-12 + (2 - -4) + 0) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -211111*q**3 - 2*q - 3. Suppose 5*f = -l - 19, l - 4*f - 13 = 4*l. Let b be (-2)\/4*(5 + l). Let z be j(b). Round z to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4741905 < -4741903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -20 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -0.1, -4, -9\/20, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -173*d - 2917. Let q be w(-17). Solve 28*u = q*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 11*d**4\/6 + d**3\/6 + d**2. Let q(w) = 2*w**2 + 6*w + 6. Let k be q(-1). List the prime factors of z(k).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1286291, -1286285, -1286279, -1286273, -1286267, -1286261?\nAnswer: -1286255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12140 - -1341?\nAnswer: -10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2344604, 4689210, 7033816, 9378422, 11723028?\nAnswer: 14067634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -3*c**8\/8 + 2*c**4 - 22*c. What is the third derivative of i(n) wrt n?\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2540, -10071, -22578, -40043, -62448, -89775?\n\"Answer: 3*q**3 - 2506*q**2 - 34*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*q - 81*q - 24*q**2.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2514? (a) 5 (b) -18\/5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 1, r: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36192 and 7110336?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/28)\/(171455\/(-1272) - -135)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -751, -739, -727?\n\"Answer: 12*m - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 9*i + 8, -i = -4*f + 18. Solve 6*h - 3*h - 5 = -f*p, 2*h - 1 = -p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020000001 (base 3) to base 4.\nAnswer: 33133000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/5)*d*d**(2\/21))\/(d**(-9)\/d**8) assuming d is positive.\nAnswer: d**(1921\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/6300*900\/48*(-16)\/30.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + 34\/10. Let r be (-20)\/6 + (2 - 0). Let d(y) = y**3 + 4*y**2. Let g be d(-4). What is the smallest value in r, t, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 5 + 3*z**2 + 4*z**2 - 5.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + -1)*-2 + -4 + (5*4*sqrt(19) - (sqrt(304) + -3)))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886526599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.41 + -0.41. Let n be (1\/(-12))\/((-2)\/(-3)). What is the fourth smallest value in z, n, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 26\/7 (b) 0 (c) -1 (d) -0.27 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14221 times -12?\nAnswer: 170652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6256061*w**3 + 21431957*w**2 wrt w.\nAnswer: 37536366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5031 + 0.268788?\nAnswer: -5030.731212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*-0.4.\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26*z - 820 = -31*z, c + 4*z - 155 = 0. What are the prime factors of c?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-84)*(-2)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-900)\/(-24))\/(-25). Let j = -3 - -2.96. Sort j, -1, h in increasing order.\nAnswer: -1, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -317171?\nAnswer: -317171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -9*i + 224. Calculate the remainder when i is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + 0.07. Let i = 1113 + -1119. Let q be (1 + i\/10)\/(180\/(-225)). Which is the closest to q? (a) h (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpczzfc. Give prob of sequence pz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 0*i**2 - 275 + 7*i**2.\nAnswer: 2*i**2 - 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.2 (b) -0.1 (c) -0.3 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*z - 6, -40 = 36*z - 32*z + 5*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 - 2*f - 5. Let r be c(-6). Let n = r + 97. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9413893 to the nearest integer?\nAnswer: 3068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*n - 3*n + 165, -2*n + 130 = 4*m. Let o = 468783 + -468705. What is the greatest common factor of m and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 108.6. Sort -4, d, -3, 3\/8 in increasing order.\nAnswer: -4, -3, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -77, -105, -137, -173?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + 1. Let j(l) = -7*l**3 - 15*l**2 - 3*l + 6. Let y(k) = 6*g(k) - j(k). Give y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*a + 913 + 109 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*f - 60, -4*w + 12 - 71 = 3*f. Let o = 25 + w. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 7) + 22 + -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(700) + 1) - 3*(sqrt(700) - -2*sqrt(700)))**2 + -5)*1*6*-6.\nAnswer: -34560*sqrt(7) + 9675936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -1\/7 (c) -1.3363 (d) 2\/5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -5 - (-60 - -13). Let p = y + -47. Suppose 9 = p*s + 5. Calculate the least common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769 is divided by 224.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*p - 48, 2*p = -0*d + 5*d - 45. Calculate the greatest common factor of 49 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + bcc4?\nAnswer: bcc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -5 + (sqrt(117) + sqrt(117)*3)**2 + -1 + -3 + -3)*3.\nAnswer: -33534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(720))\/sqrt(9))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81999, -164432, -246865, -329298, -411731, -494164?\nAnswer: -576597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11068*d - 2268948. Give i(205).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-22)*-154*357\/(-1666).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 30*i + 4. Let z be q(8). Suppose -2*h - 3*m = -z, -m + 5*m = -3*h + 365. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27003 + 323351\/12. Let q = -16813\/300 - o. Find the common denominator of q and -16\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 - -0.11. Which is the nearest to -1? (a) 2\/13 (b) t (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(266\/76*(-2)\/(-4)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -195*i**2 + 6*i. Let b(l) = -133*l. Determine b(j(m)).\nAnswer: 25935*m**2 - 798*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*1\/2*-10. Let q be (-15)\/h - (-104)\/14. Suppose 0 = 2*t - t - q. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Let t = 10 - 2. Solve c*z + t = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2230983 by 3.\nAnswer: 743661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 4*z**2 + 8*z - 3. Let i(n) = 6*n**3 + 4*n**2 - 9*n + 3. Let g(c) = 6*i(c) + 7*q(c). Is g(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 6, s: 4, i: 2, y: 2}. What is prob of picking 2 e, 1 s, and 1 x?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 6*z - 3. Suppose 2*r + 3*r + u + 21 = 0, -15 = -r - 5*u. Let b be v(r). Suppose b*y - 1147 = 43. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 4*d - 13*d + 3*d + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**34*n\/n**32)**(38\/3))**(-18\/13) assuming n is positive.\nAnswer: n**(-684\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3)*298*(-60)\/(-40). Let d = i - -187. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26044.9 - -26045. What is the closest to h in -0.15, 1\/3, -60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d + 1\/48*d**5 - 1\/480*d**6 - 5*d**2 + 0 + 1\/6*d**3 - 1\/12*d**4. Factor x(o).\nAnswer: -(o - 2)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + 1 + 0).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 3, y: 2, w: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.075347 days to microseconds.\nAnswer: 6509980800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((16\/4)\/(-4)). Let o(f) = f**w - 2*f**3 + 2*f**2 + 1 + f + f**2. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, 38, -7, -33.\nAnswer: -329, -33, -7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7582 + 0.2582. What is the second smallest value in 2, -4\/11, 0.5, 4, g?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2 + -1)*(-31283)\/2583 + (-330)\/30?\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + p + 7 = 24, -3*p - 1 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -23 - ((0 - -2) + -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 7. Suppose 4*a - 5*a = -3*c - 23, -2*a = -4*c - 36. Suppose a*x + x = 72. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/15 and 71\/1515.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkr when three letters picked without replacement from krkkkkkkkkkkmkk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/66*(-3)\/(-4). Let s be ((-2445)\/(-180))\/(p\/118). Let d = s + -1627. Calculate the common denominator of 29\/40 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -452?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51327?\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 6, i: 5, r: 1, a: 4}. Give prob of sequence rqa.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a79 (base 12) to base 2\nAnswer: -10111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000296899 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*l + l + 87 = 0, 3*g + 5*l = -85. Let m be g\/(-10)*4\/822. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -220918, 2, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (3 + -2 + -11 - (14 - 19)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 11. Let p be f(-11). Suppose -15*m + 13*m + 2798 = p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 5. Let y = 15 + w. Let o = -9.032 + y. What is o rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123898, -131671, -144620, -162739, -186022?\nAnswer: -214463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 211, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*b + 14218 - 55578 = 0 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + t + 129. Give c(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107127 - -1822147\/17. Suppose 5*u - 391 + 101 = 0. Let s = q - u. Sort -5, 4, s.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/2 - 89*z**4\/4 + 225*z**3\/2 + 1661*z**2\/4 + 109*z - 171 = 0 for z.\nAnswer: -2, -1, 1\/2, 9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*c + 146, 5*b + 12 - 22 = -c. What is the remainder when 590 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + t + 9 + 11, -t - 263 = -15*h + 51 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11347694 - 0?\nAnswer: -11347694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251 by -12100.\nAnswer: 251\/12100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110576?\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 5*t - 4. Suppose -4*a - 2*q + 30 = 0, 0 = 2*a - 0*q - 2*q - 6. Let y be x(a). Suppose 2*j - 3*i = -y*j + 32, -4*i + 9 = 5*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + q = 5, -209*w - 1189*q + 1193*q = 209 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -20, -4, -2\/5, 3, 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 + 8. Let t be p(-4). Let u be 8\/(-32) + (-46)\/t. Let x be (-3)\/14 + u\/(-12). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2601 and 191029.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(6255\/4865)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266532 divided by -5.\nAnswer: -1266532\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5973783.\nAnswer: 3, 17, 117133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295 divided by 659?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177262321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 + 26\/7. Suppose -u = -d*j - 1, -5*u + 2 = -3*u. Suppose 0 = -5*b - c + 15, -5*c = -j*c - 25. Solve 3*p - p = b*t - 4, 0 = -2*p - 2*t - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6511 = -469*q - 883 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/5 + 76096*g\/5 + 723825152\/5 = 0?\nAnswer: -19024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -0.23. Let v = -0.07 + l. Let p = 529404\/5 + -105880. What is the smallest value in 2\/3, p, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 16416, -0.3, 5, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-20)*(-10)\/30*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -976045 and -2?\nAnswer: 1952090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*r - 108, -2*r + 3*j - 74 = 7*j. Let o = -15 - r. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/484 and -31\/27184564.\nAnswer: 299030204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*l + 3401 + 1870 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15679644 + 24423211. Let j = s - 8743560.000286. Let g = -7 + j. What is g rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-44))\/((-10)\/(-55)))\/(14\/12)*7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 12*d**2 - 12*d + 4. Let h(p) = p**3 - 80*p**2 - 158*p - 493. Let f be h(82). Let y(z) = -z**2 + z + 1. Calculate f*k(g) - 12*y(g).\nAnswer: 2*g**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 45 = -4*j, -3*j - 4*a - 48 = 0. Let m be (9\/18)\/((-2)\/j). Solve -4*f + d + 15 = 0, 0 = 2*f - 5*d + m + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197036 is divided by 15450?\nAnswer: 11636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1*(22 - 23) + 656. Let o = -649 + y. Solve 2*q = o + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 2560*n - 7698.\nAnswer: 2*(n - 1283)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-42))\/(2\/318). Calculate the highest common divisor of k and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1056, -2, 0.7 in ascending order.\nAnswer: -2, 0.1056, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -3 - (-10 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 1137 = 2*m. Is 15\/35 - m\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - t + 4. Suppose -3*w - 12 - 7 = 2*r, 2*r + 5*w + 25 = 0. Let m be c(r). Suppose 3*i - m = -31. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 5931569?\nAnswer: -5931571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 64548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/479640 and -127\/6523104.\nAnswer: 32615520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h - 88*h = -219*h + 87*h - 252 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43132 (base 5) to base 3.\nAnswer: 11000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 18*z - 22. What is the remainder when 57 is divided by w(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 + 223 + 1 + -29?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 174, 328, 576, 906, 1306, 1764, 2268, 2806?\n\"Answer: -2*l**3 + 59*l**2 - 9*l + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 11*f**2 + 3 - 2 - 4 + 2*f. Let u be d(-3). Suppose -2*z = -o + 99, -o + u = -z + 5*z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*u + 4*u - 68, 5*a + 148 = 3*u. Suppose 0 = -y - 0*y + u. List the prime factors of 8\/(-12) + y\/6*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + -16 + 6\/9*3. Let r(j) = -j**3 - 4*j**2 - 3*j + 3. Let d be r(-3). Put d, l, 2 in descending order.\nAnswer: d, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.34, -6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65014827 by -2.\nAnswer: 65014827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7666*v - 1. Let n be m(7). Let f = 15337 - n. Round f to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 + 284. Suppose 23 = 5*o - g - 1, 3*o - 12 = a*g. Solve -4*t = -3*v + 8*v + 3, o*v - 3 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1200 divided by 3.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p. Let k(v) = 16*v**2. What is k(x(i))?\nAnswer: 1936*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4333*n - 259984. Determine u(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -546.7 + 545.8. Let o = 33 - 20. Let r = 14 - o. Which is the third smallest value? (a) r (b) p (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z - 16. Let n be v(-3). Suppose n*j - 5*k = 27, 17 = 4*j - 2*j - 3*k. Let x be (j - -2) + 0*(-4)\/(-24). Solve x + 2 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 21, 38, 59, 84?\n\"Answer: 2*p**2 + 7*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22634*y**2 - 46432*y**2 + 21569*y**2)*(-1 + 1 + 1) to u*y + h*y**2 + i and give h.\nAnswer: -47497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + u**3 - 15*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*c + 19, t - c + 5 = -0*t. Let b be 8\/1 - (4 + t + 5). Solve 4*j + 45 = 5*n, 4*j + 33 = b*n - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2983472 and 120?\nAnswer: 358016640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57180177181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*m - 21492, -3*m - 2*k - 480 + 16606 = 0. List the prime factors of m.\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -43, -94, -165, -256, -367?\n\"Answer: -10*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.4 + 5. Let q = 0.19 - -3.81. What is the third smallest value in -3, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -12.63 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280 + 283. What is the biggest value in -11, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 8*y**2 + 326*y - 164*y - 162*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 8. Let g be w(-6). Suppose 3*x - g*x = 33. Let v = x + 3. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 53 = 61. Suppose -4*f - 54 = -b - 0*f, y = 3*b + 4*f. Is 10 a factor of (b\/48*-2)\/(2\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/360 - 5*n**4\/24 - n**3\/2 - 4*n**2. Let o(b) be the first derivative of z(b). What is the derivative of o(x) wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 11. Let w = c + -23. Suppose -w = -2*z - 3*z. Solve -5*n = -n + z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(175)*-3)**2.\nAnswer: -150*sqrt(7) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -36, -35, -16, 27?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5346)\/(-24))\/(-9) + -2 + (-90)\/72?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554608\/83 - -6682. Suppose 4*d = 5 - 1. Let q be (-2)\/(-5 + d)*0. Is a smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n + 10 - 16 - 3*n. Let o be r(16). Let k = o - -259. What is the greatest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by (2\/(-4))\/(9*(-7)\/2898)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94192413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*328\/(-123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and -181 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 188\/(-470)*-95*1 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5655014?\nAnswer: 2, 2827507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2964 - -2964. Let a(r) be the second derivative of 1\/28*r**7 + u + 9\/40*r**5 - r**3 + 0*r**2 - 1\/5*r**6 + 1\/2*r**4 + 17*r. Let a(w) = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 14) in base 3?\nAnswer: 100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let j = -29 - -30. Let p(z) = -16 + 4*z - 18 + 28 - z. Determine j*p(c) + 5*b(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-42)\/12)*-8. Solve -3*m + 4 = -2*p, -b = -2*m + 2*p - 0*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 778241035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 66*r**2 + 156*r + 560.\nAnswer: -2*(r - 4)*(r + 2)*(r + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q. Let k(v) = -3*v**2 + 149*v - 4. What is d(k(a))?\nAnswer: -21*a**2 + 1043*a - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 2*m + 2. Let a be y(4). Let k be 8\/a*12\/(-8). What is the second derivative of -u - u**2 + u - k*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5932027 and -4.7.\nAnswer: 5932022.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 276.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b. Let t(i) = i**3 + 5*i**2 + 5*i. Calculate 10*o(v) - 2*t(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -0.1215.\nAnswer: 2.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*q + 44 + 22, 4*s + 3*q = 54. Let a(r) = -r**2 - 9*r + 3. Calculate the remainder when a(-6) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 1 + 15. Suppose 4*n - o*d - 16 = -0*d, -5*n + 20 = 2*d. What is the lowest common multiple of ((-10)\/3)\/((-2)\/24) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1714678 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1210 by 242.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 5. Let m be k(-4). Let z(t) = -2*t**2 - 4*t + 5*t**2 - 2*t**2 - t. Let p be z(5). Solve p = 5*a + m + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a95a0 - -24a?\nAnswer: -1a9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -546226 times 3\nAnswer: -1638678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j**2 - 1640*j - 8386. Let m(q) = -18*q**2 + 2952*q + 15094. Let h(u) = 29*i(u) + 16*m(u). Factor h(v).\nAnswer: 2*(v - 169)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - z + 11. Let y(g) = g**3 - 3*g**2 - g + 10. Calculate -4*o(c) + 5*y(c).\nAnswer: c**3 - 3*c**2 - c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**2 + 5*x**2 + 1 - 43534*x + 1 + 43531*x - 142*x**3 as w*x + r + j*x**2 + v*x**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 307295?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:11 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129208.4 decades to years.\nAnswer: 1292084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 2*w + 10*w**2 + 3 + 7*w**2 - 19*w**2 - w to y*w + k + d*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2 + 2*p - 9. Let w(i) = i - 1. Let t(f) = c(f) - 6*w(f). Let z(u) = -u**2 + u + 1. Suppose -3 + 1 = -2*x. What is x*t(k) + 4*z(k)?\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - y = 2*d + 2, -3*y = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 76. Suppose 0 = z - 60 - u. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 74815*s + 74827*s - 14*s**3 in the form d*s**2 + o*s + c + y*s**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*s + 7, -5*t + 4 = s - 6*t. Solve 0 = 3*z + 2*z - s*q, -2*z + 3*q = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/((q\/((q\/(q*q\/(q**2*q*q)))\/q))\/q)))*q)\/q)**45*(q**3)**43 assuming q is positive.\nAnswer: q**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*h**3 + (-5*h**2 + 3*h**2 + 4*h**2)*(-5*h + 3*h + 4*h) + 143 - 73 + 34*h**3 - 71 + (-2 + 0 - 1)*(-3*h**3 + 0*h**3 + 5*h**3).\nAnswer: 34*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*y + 0 - 111*y - 2*y**2 + 3 + 4*y**3 - 2*y**3 to k*y**2 + l*y**3 + d + o*y and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3*d**2\/2 - 6*d - 3. Let n be r(-4). Find the third derivative of 7*l**6 - 3*l**2 - 6*l**n - 4*l**6 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 19*q**2\/3 + 20*q\/3.\nAnswer: -q*(q - 20)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 17 = -0*n - n, k = 3*n - 9. Factor -2\/5*u**4 + n*u**3 + 0 + 8\/5*u - 16\/5*u**2.\nAnswer: -2*u*(u - 2)**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 - 145*t + 72. List the prime factors of l(42).\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10)\/((-2)\/6). Let m = 59.11 - -5.09. Let j = -63.7 + m. Which is the second biggest value? (a) -0.4 (b) j (c) -2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -34?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:42 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7127447 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a840 (base 12) to base 15.\nAnswer: 107c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*p**5 + 21*p**5 - 71*p**2 + 32*p**5 - p**3 + p**5 + p**3 + (-3*p + 2*p**2 + 3*p)*(-3 + 3 - 2*p**3).\nAnswer: -5*p**5 - 71*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 - 29*j + 14. Let g be c(15). Let n(w) = 16*w + 8. Does 6 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 + 2 = -2*c, 9 = -3*b. Suppose 2*o = 3*k - 64, 5*o - o = -k - 2. What is the units digit of c\/k + (-20)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 - 3*g**2 + 2*g + 1. Let t = 5 - -11. Suppose -7*a = -3*a + t, -2*q + a + 8 = 0. What is the remainder when n(q) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 8. Let j be z(-8). Suppose j = -2*o + 7*o + t - 24, 0 = -o + 4*t - 12. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*u - 1213*u**2 - 60*u - 53*u + 164*u.\nAnswer: -1213*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -5*k**3\/3 - k**2\/2 - k. Let c be o(2). Let q = c + 35. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 63*u**2 + 28*u - 702. Let b be t(-64). What is the greatest common divisor of b and 890?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3 + 7) - (-30)\/4. Suppose 2*v + k*y = 2*y + 30, 4*v + 3*y - 46 = 0. Calculate the greatest common divisor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566011 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let m be -6 + (4 - 0) + 726\/352. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-63)\/(-84))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:34 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 2*j**2 - 3*j - 1. Let s(q) = 4*q**3 + 5*q**2 - 7*q - 3. Let h(v) = -5*o(v) + 2*s(v). Let i be (-30)\/60 - 3\/(-2). Determine h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51916.51 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 20*l + 14. Let m be 5\/((-5)\/(-3)) - -2. Is 26 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from {v: 7, j: 2, e: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3922.064mm?\nAnswer: 3922064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -11, 0, 15, 34, 57, 84?\n\"Answer: 2*o**2 + o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/2 + 2*l. Let a(y) = y + 841 - 841. Give a(c(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-7)*(-6 - 78\/(-12))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43325963 and 5141.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*k**3*n + 130*k**3 - 2*k**2*n**2 - k**2 + 3*k*n**2 + 2*k*n - 13*k - 14*n**2 + 7*n wrt k?\nAnswer: 102*k*n + 780*k - 4*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + 1 + sqrt(7) + 1 + sqrt(63).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 147 = -3*u + 4*u, -u = g - 145. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6 - 157481*q**2 + 157968*q**2 + 3 + 3. Let v(j) = 4*j**2. Give z(v(i)).\nAnswer: 7792*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012120011122 - 1000?\nAnswer: -2012120012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:47 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from zzhhzzzhzrmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2231365*d**3*l**3 + 457*d**3 - 9646*d**2 with respect to l.\nAnswer: -6694095*d**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 3*(0 - -1). Let b = -5 - w. Suppose 0*l - 45 = -2*m - l, m - 36 = b*l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14850 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-609)\/308 + 2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4546*w**5 + 50*w**3 + 2*w**2 + 3620169*w wrt w.\nAnswer: 90920*w**3 + 300*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3099*r + 1479*r + 1629*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323049 a multiple of 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 390 + 3\/((-6)\/(-4)). Let i = 553 - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.4 (c) -1\/7 (d) 11 (e) -3\/10 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.6 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.871368 to zero dps.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/13143 and 11\/156?\nAnswer: 52572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 6 (b) -3\/4 (c) -6\/7 (d) -1214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -16 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -183 + 22798?\nAnswer: 22615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -21. Is 18 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2512*s - 2567*s - 426 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -4.8. Let o = -4.9999988 - b. Round o to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 124550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 250*r + 57. Determine l(-36).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7629, -15182, -22723, -30246, -37745, -45214, -52647?\nAnswer: -60038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f - 51*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 5*x**2 + 8*x - 8. Let k be v(6). Suppose 0*f + k = -4*f. Is (1 - -1)\/f + 79 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2 (c) -3608 (d) -5\/4 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206107 rounded to the nearest one thousand?\nAnswer: 206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3 - 5*s**2 - s - 213?\nAnswer: 18*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 841067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1823*d + 73. Is w(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*y - 3*y + 99, -3*y = -3*z - 93. What is the units digit of (-14)\/z + 31\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22\/6 + (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-920)\/3450)\/(1\/(-5)*2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -5062 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and 83\/1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:59 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36389 - -27?\nAnswer: 36416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18639?\nAnswer: 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28465034*w**3 - 33*w**2 + 868631 wrt w?\nAnswer: -170790204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -1338, -1391, -1438, -1479?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.7901m in kilometers?\nAnswer: 0.5027901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = 12. Suppose 3*r - 2*o - o = 12, 3*o = t*r - 20. Solve r + 7 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixi when three letters picked without replacement from ixixixxiixixixixiixi?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 471221 + 16?\nAnswer: 471237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101*r + 16*r**2 + 101*r)*(-10 - r + 10)*(-1 - 1 + 0)*(1 - 2 + 5) as g*r + n + z*r**2 + u*r**3 and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -17c71?\nAnswer: 17c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16830)\/7480)\/((-6)\/(-32))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = -7. Let t be -1*2 + (-56)\/q. Let v(s) = 3*s**2 + s. Let m be v(-3). Calculate the highest common divisor of t and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(70)*4*-2)\/(-3*-1*-4*sqrt(10)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 1:26 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**4 + 7*a**3 - 7*a**2 + 3*a + 7. Let u(z) = 2*z**3 - 2*z**2 + z + 2. Let h(c) = 2*r(c) - 7*u(c). Find the second derivative of h(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107.7 + -0.2. Let g = z - 108. What is the biggest value in 4, 1, g, 0.23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:58 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3\/575 (b) -2 (c) -2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4840)*-3)\/(sqrt(56)\/(3*sqrt(7) + sqrt(7))) - (sqrt(15)\/sqrt(3) + 2 + 2*sqrt(5)*4)*-5*-5)**2.\nAnswer: 35700*sqrt(5) + 639745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*t + 269*t**4 + 426*t - 212*t + 1 in the form f*t**4 + n*t**2 + m*t + q + l*t**3 and give f.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**7\/d*d\/d**(-1\/4) assuming d is positive.\nAnswer: d**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 41*o**9\/504 + 67*o**8\/336 - 56*o**5\/15 - o**4\/12 - 2*o**3\/3 - 5276*o**2. Find the third derivative of i(m) wrt m.\nAnswer: 4920*m**3 + 4020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1024, -1088, -216, 1598, 4360?\nAnswer: 8076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 12:46 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5348031000 to the nearest one million.\nAnswer: -5348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3079, -12230, -27485, -48844, -76307, -109874?\n\"Answer: -3052*k**2 + 5*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8386116 is divided by 18677?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*i**3 + 5186*g**3*i + 14341*i**3 - 2 wrt g.\nAnswer: 3*g**2*i**3 + 15558*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 21.973526 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-57)\/(-152) + (-3)\/8)\/2. Let s(b) = -b**2 + 7*b + 884. List the prime factors of s(f).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 46150*m + 276904. Let o be s(-6). Let l = -8 + 7.7. Which is the closest to 0.06? (a) 0.2 (b) l (c) 2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3 + 4*u**2 - 2*u**2 - 3 - 3. Let z(m) = -2*m**2. What is n(z(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 2. Suppose 9*t = 4*t - 20. Let s be b(t). Suppose 5*l = 4*o - 2*o + s, 0 = -3*l + 5*o - 3. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -13 - 31. What is the least common multiple of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Suppose -47 = -2*k + c, -4*c + z*c - 2 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2286 and 8864346.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = 2*q - 34*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -64\nAnswer: 25\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - o. Suppose 0 = 2*a - 0*a + 4. What are the prime factors of d(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621\/1 + 10\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 11.2. Let g = w + -1.2. What is the second biggest value in 0.1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -23, -81, -193, -377, -651, -1033?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.125\nAnswer: -1.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3431, -13573, -30105, -52721, -81115?\n\"Answer: 51*b**3 - 3501*b**2 + 4*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 963*s + 300456. Determine c(-312).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 116. Suppose -456 = -0*c + 6*c. What is the remainder when 3\/(-2)*6*c\/6 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 21*h**3 + 27*h**2 - 27*h. Let x(v) be the second derivative of -3*v**5\/20 - v**4\/3 + 2*v**3\/3 - v. What is -4*o(a) - 27*x(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.4 and -0.085.\nAnswer: -7.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 1, r: 2, i: 1, m: 9, y: 1}. Give prob of picking 1 m, 1 y, and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 divided by -5?\nAnswer: 1188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:21 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*g + 8 - 0, g = -2*z - 5. Let p(c) = -2*c - 1. What are the prime factors of p(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 1222441.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 15, 27?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1115*z + 1924*z + 276*z.\nAnswer: 3315*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.52, -4, -1\/10, 0.148 in increasing order.\nAnswer: -4, -1\/10, 0.148, 1.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhgy when four letters picked without replacement from {z: 1, g: 2, y: 3, h: 4, o: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 11*i**2 + 10*i + 4. Let g be 90\/(-27)*(0 + -3). Let l be q(g). Suppose -5*n - l*c = -6, -n = -2*n - 4*c - 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 26. Let w be j(-26). Suppose w = 3*p - 229 - 125. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(5))**2*2.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0025 - 50.4025. Let m = x + 8.4. Let g = m + 42.0024. Round g to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5922228, 23689134, 53300636, 94756728, 148057404, 213202658, 290192484, 379026876?\n\"Answer: -f**3 + 5922304*f**2 + f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -289358619.8 to the nearest 100000.\nAnswer: -289400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 5*r**3\/3.\nAnswer: r**3*(r + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4637726, -9275355, -13912984, -18550613, -23188242?\n\"Answer: -4637629*f - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m - 40. Let a = m - 5. Suppose a*s - 170 = -3*j + 8*s, 5*s = 5*j - 280. What is the greatest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 2127*n**2 + 590978*n\/3.\nAnswer: n*(n - 6287)*(n - 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -822*k**3 - 6*k**2 - 14*k - 3744. What is the second derivative of p(f) wrt f?\nAnswer: -4932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 5*x - 2. What is v(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 125140524?\nAnswer: 125140521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.064 + -627.064. Let m = 628 + y. What is the closest to -1 in 3, 15, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) + -1*sqrt(170))*-4 + sqrt(170))\/(2*sqrt(90) - sqrt(90) - sqrt(10))*3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-17)\/((v**(-2)*v)\/((v\/(((v*v**(1\/2)*v*v)\/v)\/v))\/v)))\/(((v**4\/v)\/(v*v**5\/v))\/((v*v**(-1))\/v*v)**(-1)) assuming v is positive.\nAnswer: v**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -0.1 (b) 3 (c) 2\/15 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 5. Let m be z(0). Let t(b) = -4*b - 7. Let j(k) = -3*k - 5. Let i(h) = -7*j(h) + 5*t(h). Calculate the remainder when i(m) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 2*t**4 - 2*t - 10*t**4 + 6*t**4 + 0*t to b*t**2 + p*t + a + q*t**4 + w*t**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**4 - 11949*b**3 - 9*b**2 + 245*b?\nAnswer: 144*b - 71694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2254, 4578, 6900, 9220?\n\"Answer: -s**2 + 2327*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 1225?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/6 - 197*d**3\/6 - 1988*d**2 - 34104*d = 0.\nAnswer: -84, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 2. Let j = 424 + -418. Suppose -367*s + j = -364*s. What is g(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3742 is divided by 1157?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -51.0064. What is i rounded to four decimal places?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 48 = 4*c, -c = -3*d - 0 + 4. Solve c*o + 16 + 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 25*q**2 - 50*q - 187. Give m(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/828*23)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47318*n = 47287*n + 1054 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 1 b when three letters picked without replacement from {x: 5, b: 1, k: 1, c: 4, q: 3, e: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -o - 3*b - 0*b, 0 = 3*o - 4*b - 104. Let u be 1 - (2 + (-20)\/o). Put -1, u, -0.3 in descending order.\nAnswer: -0.3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-1)\/442) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 927.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 7) + 10 + -1 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707336 is divided by 146.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 z when three letters picked without replacement from {p: 1, g: 1, z: 2, v: 1, k: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 11*b**2 - 2*b - 11. Calculate c(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 times 54?\nAnswer: -49410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = 3*p - 0*p, -2*d - 10 = -p. Solve 0*n = -p*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*z + o, 2*z - 48 = -0*z + 4*o. Suppose z*f + 26*f = 600. Solve -f = 6*v - 11*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = -4*d, d = 2*d - 4*c - 18. Solve -3 + 9 = d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*56.5.\nAnswer: 1525.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 4*y - 10. Let a be z(-8). Let x = a + 222. Suppose -2*b = -2*c - x, -b + 37 = 3*c - 5. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + b = -20, 6*a = a - 2*b - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let z(t) = -6*t**2 + 7. Let v(b) = -9*b**2 + 11. Let y(u) = 5*v(u) - 8*z(u). Let n be y(1). Let c(x) = 0*x**2 + 2*x**2 + 0*x**n. Give c(f(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3160 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**3\/3 - 5*v**2 + 12*v - 640. Let n(x) = 0. Calculate x.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*c = -3 + 1, -12 = -4*p + 9*c for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m + 1973. What are the prime factors of f(0)?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 1383*b - 1383*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6 - -2) + 1)*(4 - 5). Let k be (486\/(-39))\/(-3) - (6 + -2). Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -40*d + 75. Let b = -13 - d. Let y(g) = -2*g**2 + g + 1. Give y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-46)*(h\/(h*h**(1\/6)*h*h))\/h**2)**(1\/10) assuming h is positive.\nAnswer: h**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27342859, 218742962, 738257529, 1749943792, 3417858983?\nAnswer: 5906060334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 3 + 24*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 + 0*a**7 - 1\/15*a**5 + 0*a**3 + a**2 + 0*a + 0*a**6 + 0*a**4 - 1\/112*a**8. Find the third derivative of s(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/5370 and -83\/1074.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/287 and -109\/140.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 5 - -9) + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-16) + (26\/8 - 2) - 3. Let v be (-1)\/2*(-5 + 5). Sort -4, 1, v, l.\nAnswer: -4, l, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) -9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/4)\/(w**17\/w))\/(w**5\/w)**38 assuming w is positive.\nAnswer: w**(-665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 30.1. Let u = p - -8. What is the fourth biggest value in 0, u, -2\/13, 3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -638*j**3 + 772*j**2 + 1053234*j + 7.\nAnswer: -3828*j + 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6) - (-4)\/8. Suppose k = 3*w + w. Factor w*x**3 - 4\/3*x**2 + 0*x + 2\/3*x**4 + 2\/3.\nAnswer: 2*(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + 0 + -3. Calculate the remainder when (-230)\/i + 3\/6 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 2.42. Let k = z - 2.3. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22498595 and 22498595 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20390279*t - 88704707?\nAnswer: 20390279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 92 + 50)*(-4 + 5*s - 7*s + 2).\nAnswer: -22*s - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, v: 2, k: 4}. What is prob of picking 2 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18025655?\nAnswer: 5, 617, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117567 is divided by 355.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-37 + (-21 - -39))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 + 3*a + 2. Let b be m(-3). Suppose -6*o + b = -5*o. Solve -o*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*d = 8 - 29, -2*x + 3*d = -18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50323.\nAnswer: 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 + 13*s + 18. Let u be x(8). Sort 5, u, -23, -5 in ascending order.\nAnswer: -23, u, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -51. Find the common denominator of -79\/4 and 218\/t - (3 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354353 + -54533?\nAnswer: 255420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 2 + 0*u**2 - 5*u + 0*u**3 + 1\/6*u**4. Let d(j) be the second derivative of -11*j**3\/6 - j. Calculate d(i(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 331470.5 centimeters?\nAnswer: 3314.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/43907624 and -91\/464?\nAnswer: 87815248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 11\/60*s**6 + 2\/35*s**7 + 1\/168*s**8 + 19*s**2 + 0*s + 1\/5*s**5 + 2 + 0*s**4 + 0*s**3. Determine n, given that t(n) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (257\/37 - 34\/(-629)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*1\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4347 and -26\/10143.\nAnswer: 30429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.502 + 0.54845. Round j to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 385 + 137490?\nAnswer: 137865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161491947.\nAnswer: 73, 769, 74131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 357a7 (base 12) to base 10\nAnswer: 71983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 3) in base 15?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-16)*91*(-8)\/(-156).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -516 + 526. Suppose 17 = -2*v - 5*i + o, -3 = -3*v - 3*i. Let d(q) = -q + 9. What is d(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*m = 25804 - 25781, 0 = -3*c + 3*m + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1101.447.\nAnswer: 4405.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/5))*l**(-1))**(-1\/5)\/((l**3\/(l*l**(-3\/7)))\/(l**(-2)\/(l\/(l**1\/l)))) assuming l is positive.\nAnswer: l**(-901\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + s**3 - 20*s**2 + 3*s + 2. Let a(d) = d**4 - 3*d**3 + 41*d**2 - 5*d - 3. Let f(p) = 3*a(p) + 5*c(p). Find the third derivative of f(b) wrt b.\nAnswer: -48*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5. Let y be 50 - 0\/(m + 0). Let t = y - -174. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 0.39. Let q = -34 - -35.9. Let t = -1.1 - q. What is the smallest value in n, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 13*j**6\/40 - j**5\/60 - j**4\/24 + 5*j**3\/3 + 55*j**2. What is the second derivative of s(n) wrt n?\nAnswer: 234*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -851 - 2.3.\nAnswer: -853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781 is divided by 914.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 598524139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117693 and 15983.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z, -4*z - 16 - 24 = -4*k. Suppose 3*r - k = 4*r. What is the common denominator of 73\/8 and (-3)\/(r\/(-10)) - (-39)\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 36 = 3*n, 0 = -4*n. Suppose t = i - 31. Let u(k) = 40 - 2*k - i. Let h(c) = -8*c**2. Give u(h(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10 = 3. Let f = -21 - r. What is the common denominator of ((-142)\/f + 1)\/(-2) and 49\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53175, 212678, 478551, 850824, 1329527, 1914690, 2606343, 3404516?\n\"Answer: 5*v**3 + 53155*v**2 + 3*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-15)\/80*(-80)\/150?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43858551 - 2280373773\/52. Let g = f - 5209. Calculate the common denominator of 86\/4 + 1\/4 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - (-8 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -9. Suppose h + u = 19. Suppose 25\/4 + 1\/4*k**h - 5\/2*k = 0. Calculate k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35342505253 + 3?\nAnswer: 35342505300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -468*j - 5. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4))**(-45)*((p*p*p*p**(-21))\/p)**(-19) assuming p is positive.\nAnswer: p**(1219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12)*-2)\/((-152)\/912)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70090 and 1158420.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(612))*1)**2 + (-5*(-2 + 2*sqrt(833)))**2.\nAnswer: -1364*sqrt(17) + 84021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**5*j))**(-2\/5) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13649*u + 42*u**4 + 13649*u)*(-10 + 5 - 24).\nAnswer: -1218*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 28*w - 10. Let n(y) = -y**3 - y**2 - 2*y. Let z(q) = k(q) - 2*n(q). Is z(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 5*d**2 - 3*d. Let m be l(2). Let s(i) = 3*i**2 + 0*i**2 - 1 - 2*i - 2*i**2 - 3. Let k(j) = -1. Give m*k(r) + s(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5 - 3\/5*v**2 + 3\/5*v + 1\/5*v**3 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 8*k - 3. Let z = -20 - -10. What is the tens digit of j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1239*g - 3557*g + 1650*g in the form w*g + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18155284619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148117.\nAnswer: 73, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utz. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215520 is divided by 5526.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:50 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -53*l**7\/14 - 4*l**4\/3 + l**2\/2 - 9*l - 1. What is the third derivative of q(v) wrt v?\nAnswer: -9540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 916367*i**3 + 15*i**2 + 1799*i - 1?\nAnswer: 5498202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*o**3 + 4*o**2 + 14*o**3 + 8*o**2 wrt o.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5*x - 2*b**4*x + 466*b**3*x - b**2*x - 19*b**2 - 2*b wrt b?\nAnswer: 120*b**2*x - 48*b*x + 2796*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 872500 to the nearest 10000.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c = -180*c + 1349 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from jzzjjejej.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 63, -126, -461, -942?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 11*d**2 - 15*d - 18. Calculate z(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1314, -2300, -3286, -4272, -5258?\n\"Answer: -986*r - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-84)\/91)*13. Is o + (5779 - (8 + -7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 13*d + 19. Let o be p(-14). Solve o*s + 3 = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3430 + -1?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = -0*j + 3*j, -19 = -5*z - 4*j. Suppose z*s - 3263 = 1129. Suppose 2*n + 264 - 1742 = -2*v, -2*v = -5*n - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -16.89. Let s = m - 0.11. Let y = -31.0000232 + s. What is y rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24103.148 to the nearest 10.\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51.79198 meters?\nAnswer: 51791980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36, -3.7, -5, -70\/11, -16\/11, -1\/10?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 + 2*d - 12. Let g be r(-6). Suppose 0 = -15*w + 18*w - g. Find the second derivative of 30*m**2 + 2 - w*m**2 - 26*m - 2 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2776*h**2. Let n(k) = -4*k**2 + 10*k**2 - 5*k**2 - 3*k**2. Calculate n(b(d)).\nAnswer: -15412352*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/9, 0.4, -1, -2\/43, -5\/96, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 6) to base 15\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 211, 213, 217, 223, 231, 241?\n\"Answer: g**2 - g + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68926 is divided by 124?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 96*n - 12548025 = -230*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1438 - -1437.97. Which is the second biggest value? (a) -2\/5 (b) 3 (c) -7 (d) q (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -260340 + 467?\nAnswer: -259873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13489\/4 - 3361. Find t such that -3\/4*t**3 + 21\/4*t**2 - v*t + 27\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from wppccdpwwpppppzcw.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-15) - (-880)\/150. Let f be 24\/t - 2\/2. Suppose 373 = 4*w - 3*b - 360, f*w - 5*b - 536 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 4*o + 17 = 46*t, -2*t = -4*o + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*x = 246, -4*j = -129*x + 125*x - 516. Calculate the highest common factor of j and 2603.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406 * -226.\nAnswer: 91756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -0.5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52224 divided by -192?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8524 + -8513. Let r = -88 + 86. What is the closest to r in d, -5, 5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228315 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 3*y = 715. Let b = y + 78. Let f be (13\/(-3))\/((-2)\/24). Calculate the highest common factor of b and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587988540 divided by -15.\nAnswer: 39199236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**4 - 15*w**2 - 2*w + 3619.\nAnswer: 4*w**3 - 30*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 0.32, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -872513*w**2\/2 - 52*w + 19. Let z be l(-4). Round z to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8655*j + 9*j**3 + 1 - 8589*j + 4 + 17301*j - 5*j**2. Let c(p) = 13*p**3 - 7*p**2 + 86*p + 7. Determine -5*c(n) + 7*r(n).\nAnswer: -2*n**3 - 31*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z + 18. Let x(i) = -i**2 - 6*i - 6. Let d be x(z). Calculate the common denominator of -29\/6 and (-1)\/d + 22\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -4, 32, -1, 4, -2, -298 in descending order.\nAnswer: 32, 4, -1, -2, -4, -114, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 1\/7*h**7 - 9*h**2 - 1\/16*h**8 - 4\/7*h**3 + 101\/280*h**6 - 13\/14*h**4 + 0 - 31\/70*h**5 + 0*h. Determine k so that s(k) = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.351747 seconds to days.\nAnswer: 0.0001082378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25343722 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000124547 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298 and 34121?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 22 + 20)*(l + 5*l - 4*l)*(-237 - 69 + 69 - 80 - 252) in the form n*l + x and give n.\nAnswer: -77384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13954999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -16. Let o = x + 4. Let n = -7 - o. Solve -25 = 5*i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m**4\/12 - 5*m**3\/6 + m**2 + 1716*m + 3. Let u(i) = -i**2 + i - 1. Calculate -b(v) - 3*u(v).\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 242, 688, 1404, 2480, 4006, 6072?\nAnswer: 8768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 3. Let p(m) = m**2 + m + 1. Let w(j) = j**3 + 5*j**2 - 2*j - 11. Let i be w(-5). Determine i*p(v) - z(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202.3 - -32.5. Let m = r + -212. Let u = m + -25. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -1\/4, -2, -8\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 904431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 12?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11474 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, 4, 46\/15, -10, 19 in decreasing order.\nAnswer: 19, 4, 46\/15, 4\/5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 46. Determine i(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139586 is divided by 668.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -5\/4, 1, -3 in descending order.\nAnswer: 1, -5\/4, -3\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50745985.\nAnswer: 5, 2383, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 4480 + 30953 = -14351. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62 and -302430.\nAnswer: -302368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5160 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -241. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -384, 20 in descending order.\nAnswer: 20, 6, 2, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -550? (a) 0.4 (b) -2\/7 (c) 2.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -476 + 473. Let n be (0\/1)\/(1\/1). What is the nearest to j in n, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17016166.8 rounded to the nearest one thousand?\nAnswer: 17016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(-22)*(h*(h\/(h*h\/(h\/(h*(((h**(12\/11)*h)\/h)\/h)\/h))*h))\/h)\/(h**(-33)*h) assuming h is positive.\nAnswer: h**(1458\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + (0 + sqrt(833) + sqrt(833) + -1 - ((1 + sqrt(833))*2 + sqrt(833))) + -2)**2 + 4).\nAnswer: -1746 - 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y*y**(6\/7))\/y)*(y\/y**(1\/5))\/y*y)\/(y**(2\/7)\/y*y**6*y))\/((y**1*y)\/y**(-1)*y*y\/((y**(-7)*y)\/y)*y\/(y\/(y*y*y**5))) assuming y is positive.\nAnswer: y**(-782\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158 and 40791018.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*j + 30 - 25, 5*y = 5*j. What is the second biggest value in j, -2, -13\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**2 + 2*w**2)*(1699 - 653 + 7391 + 8780 + 5928).\nAnswer: 46290*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -24 - (3 + 72 + (-1 - (10 + -9)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-4) + 10*7\/(-14). Let s(z) be the second derivative of 0 + 1\/12*z**4 + 13*z - 4\/3*z**3 + 3*z**y. What is s(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 10. Let h be p(0). Suppose -155 = -q - h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(882))\/((-1*sqrt(24))\/sqrt(4)) + (sqrt(36)\/sqrt(3) + 5 + sqrt(3)*-2 + (sqrt(3) + -4 + sqrt(9)\/sqrt(3))*-1)**2.\nAnswer: -50*sqrt(3) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 780*n**2\/7 - 76050*n\/7.\nAnswer: -2*n*(n - 195)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/12 + 2*n**3\/3 - 58*n**2. Let x be y(1). Let o be 2 - 1\/((-1)\/3). Solve -5*w + x*w + o = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 705, -22, -1 in ascending order.\nAnswer: -22, -1, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 18 + 1472*k - 65 + 14 + 21 to the form f*k + a and give f.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 167 + 88 + 79 + 5*b**3.\nAnswer: 5*b**3 - 50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a81 (base 12) to base 5.\nAnswer: -2202300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463 + 281. Let u = 335 + s. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 5. Suppose -4*p = -n - 7 + 1, -5*n + 4 = -3*p. Find the third derivative of 2 - n - 2*q**6 - q**o wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -127*f - 15. What is the units digit of l(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/120 + 37*a**5\/60 + 5*a**4\/3 - 29*a**3\/2 - 325*a**2. What are the prime factors of l(-34)?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-24)*2)\/1. Let w = 4.3 - 4. Which is the second smallest value? (a) 1 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 1 + 1)*(-17*w + 7*w + w - 5 + 5 + w + (1 - 1 - 2*w)*(-1 - 3 + 6)).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2*v - 5, -3*v - 8 = 2*t. Suppose 0 = 2*l - 3*l - 4. Is t bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b + 12. Is m(9) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 27 = -53. Solve 3*j - 2*d - 8 = 5, -k = -3*j - 5*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0954 and -10442126.109?\nAnswer: 10442126.0136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.52 - -1.38. Let d = y - 15.90035. What is d rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from {s: 4, x: 4, p: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -4037.\nAnswer: -4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 0, 13*r - 32 = 11*r + 4*c. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/2184 - y**7\/273 + y**6\/195 + 8*y**5\/195 - 8*y**4\/39 + 16*y**3\/39 - 30*y**2. Solve g(i) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590 + -413. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and -59\/74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (752*x**3 + 8408*x - 8408*x)*(0 + 3*x + 0) to the form n*x**3 + q*x + m*x**2 + s*x**4 + l and give s.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 1437725580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17937651694 - 0.3.\nAnswer: 17937651693.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-15) + 3)*(-15)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 - 2534*l + 7529. Give g(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - k**2 + k**2 + (-13*k**2 + 13*k**2 + 69*k**2)*(-1 + 3 - 4).\nAnswer: -140*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.051 + 1.076. Let u = k + 24.415. What is u rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 - q. Let h(k) = 2755*k. Give h(m(x)).\nAnswer: -16530*x**2 - 2755*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Suppose -2 - w = -h. Suppose -h*t - 10 = -3*t. Let u(g) = g + 5. Determine u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u*u\/((u\/((u\/u**1)\/u*u))\/u)*u)\/u)**(-29)*u**6*u\/(u\/(u\/u**14)))**(1\/2) assuming u is positive.\nAnswer: u**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 461467 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 5*n, -2 = -2*n - s + 1. Let z be 5*(n - (-9)\/15). Let 4\/7*f**z + 0*f**2 - 2\/7*f**4 - 4\/7*f + 2\/7 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 4. Let u(b) = b**3 + 3*b**2 - 4. Let n be u(-3). Let f(s) be the third derivative of -5*s**4\/24 - s**3\/2 - s**2. Calculate n*f(k) + 3*m(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37053475541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.19 + -2.89. What is the third smallest value in -2\/3, 13, o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10952 (b) -1\/13 (c) -0.1 (d) -278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335 and 3216?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-376)\/141*(-12)\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9117052*l**4 + 25351293.\nAnswer: 36468208*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 22 = -63*b + 61*b, 5*t = 4*b - 9 + 53 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6.2564, 243 in decreasing order.\nAnswer: 243, 3, -6.2564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*p**3*v + 222*p**3 + 2*p**2*v + 3*p wrt v.\nAnswer: 95*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (13 + -4 + -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/(t\/((t\/t**(-2\/5)*t)\/t)))\/t)\/t)**(-19)*t**(-3\/16)\/t**(7\/8) assuming t is positive.\nAnswer: t**(-693\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 862 - 867. Sort u, 0.2, -0.013 in decreasing order.\nAnswer: 0.2, -0.013, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47291, 94584, 141877, 189170, 236463?\n\"Answer: 47293*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**3 - 4*v**2 + 30*v. Let a(i) = -32*i**3 + 11*i**2 - 85*i. Calculate -6*a(g) - 17*c(g).\nAnswer: 5*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*1 + -2 + 2. Let j = -14 + c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112133233111 (base 4) to base 14.\nAnswer: ad7189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(((-3)\/4)\/(6\/(-16))). Solve o + 3 = y, 5*o + 4 = 2*r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 2*b**4\/3 - b**2\/2 - 4*b. Let z be f(1). Suppose 28 = m + 3*m. Solve z = 4*s + y, m = 3*s - 4*y - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 118*o**7\/15 + o**5\/30 - 497*o**4\/12 - o**3\/2 - 157*o**2 - 14. Find the second derivative of d(b) wrt b.\nAnswer: 19824*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, w: 2, u: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 37. Let m(f) be the first derivative of i*f**3 - 1\/16*f**4 + 0*f**2 - 2 + 0*f. Find u such that m(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7889370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 481304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1984675647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 bigger than -6831\/364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 19*f**2 + 24*f - 20. Let t be v(20). Let s be (-1 + 23)*5\/t*6. Let z(u) = -u**3 + 11*u**2 + 16*u + 2. What is the hundreds digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 35 = 4*z - 15, 5*w - 4*z = 20. Suppose w*v - v + 16 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/60 - 51\/90. Is w greater than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 4. Suppose 4*c + 72 = 6*c - 3*k, 50 = c - 5*k. Calculate the least common multiple of a(4) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.4 (b) 0.5 (c) -33\/4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 2*x. Let z = -7369 + 7371. Suppose r + 3 = 2*r. Solve x = r*j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3846 = -37*o + 24903. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239726 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314.342ml to litres.\nAnswer: 0.314342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -336*i**2. Let g(k) = 2*k. Determine p(g(w)).\nAnswer: -1344*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -312. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + 1 + 99\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 590, 1923, 4514, 8783, 15150, 24035, 35858?\nAnswer: 51039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:41 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2144 and 28122044.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1016 and 127.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77158739*h*z**3 + 30*h*z**2 + h*z + h - z**2 + 1254*z + 8 wrt z?\nAnswer: -462952434*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 12, -5*v = -3*w + 200. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/170, 329, -4.\nAnswer: -4, 1\/170, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:31 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -z - 4, 11*z - 9*z + 12 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and 39\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785795*c**2 - 469991*c wrt c.\nAnswer: -1571590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1937 and 90132186.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*(1962\/(-72) + 27). Which is the nearest to 0? (a) -3\/7 (b) g (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 744*x + 4491. Determine r(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -690*t - 1. Let o(a) = -3*a - 31. Calculate o(b(r)).\nAnswer: 2070*r - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 30 - 13150*b**3 + 9 + 9 + 13158*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319\/237 + 1\/79. Is -4.3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13362720 and 13362720.\nAnswer: 13362720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 15557899.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) -36 (d) -1\/2877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44751750493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*1*6*2*(sqrt(1300) - sqrt(1300)*-5))**2.\nAnswer: 1725235200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 19. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2369004, 0, 9, -15 in descending order.\nAnswer: 9, 0, -15, -2369004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -295 + 451. What is the thousands digit of (237\/4)\/(9\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - (2 + -4) - (1 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -27*t + 50. Let v(w) = -644*w + 1218. What is -98*l(r) + 4*v(r)?\nAnswer: 70*r - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 10*m**2 - 21*m + 36. Let r be q(-12). Let i(b) = b - 27 + 88 - 30 - 30 + r*b. Let l(g) = g + 3. Give 3*i(s) - l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1434*g + 14324. Determine h(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*l**2 - 31501*l**3 + 339*l**2 + 31503*l**3 + 509*l**5 wrt l.\nAnswer: 30540*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6 - 7*o**2 - o**3 - 2*o - 4*o + 0*o**3. Let a be w(-6). Let t be ((-9)\/(-60))\/(a\/(-5)). What is the nearest to -0.1 in t, 2\/5, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 7, 39, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 692\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Suppose 2*f + c = 3*y - 2*y, 5*y - 11 = 4*f. Let j = 7 - f. What is the least common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 10*g + 3852. Is 154 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4 - 2 - 6*a**2 + 9 + 9. Let i(n) = -7*n**2 + 19. Let g(h) = 6*i(h) - 5*y(h). Find the first derivative of g(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2*s**3\/3 - 2. Let b(g) be the third derivative of -g**4\/24 + 24*g**2. Give u(b(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 19 = -2*y, 2*w - 2*y - 12 - 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 30*l**2 + 10*l + 6. Let d be a(-11). What is the first derivative of d*n + 177 + 0 - 3415*n wrt n?\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76630135?\nAnswer: 5, 17, 19, 23, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahgg. What is prob of picking 1 a and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 13 + 87 = -2*b, -5*b + 39 = 3*o + 255 - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 20*c + 1691 = 58*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p = 15*p + 216*p - 1380 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - g - 4. Let l(h) = -h. Let k(b) = -a(b) - 4*l(b). Give k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 1 - (-120 - -119)) + -1 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:22 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:52 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8265133423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let t be 4\/6 + (-31)\/(-3). Suppose 3*n - 75 = 5*g, -2*g - 3*n - 32 + 2 = 0. Let q = t + g. What is i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/17))\/l**11)**(-4\/9))**(-1\/26) assuming l is positive.\nAnswer: l**(-112\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*h + 565*h - 141*h - 136*h - 142*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.9 - -111. Which is the third smallest value? (a) n (b) 0 (c) -0.2 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 11*o + 351. Let v = -7 + 10. Suppose v*y - 50 = -2*y. Calculate the remainder when o is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose -5*z + 2*z = -30. Suppose -z*d - 3 = -9*d. Put 2, d, p in increasing order.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7*b - 4 = 0. Let n(v) = v**2 + 16*v + 3. Let k(t) = 2*t**2 + 32*t + 5. Let f(x) = b*k(x) - 9*n(x). Is f(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/37 (b) 0.4 (c) 4 (d) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by 678\nAnswer: -75\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1077.5624196 to 2 dps.\nAnswer: 1077.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**4 + 119*r + 219.\nAnswer: -4*r**3 + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12673867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:23 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 greater than 3640\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -86382?\nAnswer: -86351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2 = -3*m, -3*l - 21 = -2*m - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - d + 3 - 5 + 2*d**2 + 4 as t*d + w + u*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 250844 and -37.5?\nAnswer: -9406650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -57, -51, -65, -105, -177?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17*n. Let k = -155 + 172. Let v(y) = -45*y + 27*y + k*y. Determine v(p(x)).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-24)*(-44)\/(-77)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.03 (b) -0.02 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -3 (b) -27 (c) -20 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36 and -109\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2290914 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - -8) + 1\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = l + 5*h, 138*l - 142*l - 4*h - 28 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*w**4 + 1020816*w**3 + 20003570.\nAnswer: 40*w**3 + 3062448*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 10*o - 11. Let j be r(-11). Suppose 0 = 3*c - 2*u, j*c - c - 5*u + 17 = 0. Find p such that 14*p + 4 + 13*p - 11*p + 12 + 4*p**c = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 9970, 19703, 29436?\nAnswer: 39169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 142667, 142649, 142625, 142595, 142559, 142517?\n\"Answer: -3*a**2 - 9*a + 142679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 2) + 2439 - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4241000 (base 5) in base 9?\nAnswer: -117815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 9*u**5 + 0*u**5 - u**5 - u**5 + (-1 + 1 - u**3)*(2*u**2 - 4*u**2 + 5*u**2) + u**5 + 4*u**5 - 3*u**5.\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/30 - 2*r**3\/3 - 2*r**2. Let y(i) be the first derivative of k(i). Let w(c) = -c**2. Calculate y(w(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g. Let s(b) = -5001402*b**2. Give s(f(t)).\nAnswer: -320089728*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -30. Let h(r) = -r**3 + 5*r**2 + 9*r - 13. Let t(z) = -z**3 - 4*z**2 + z - 2. Calculate the remainder when t(-5) is divided by h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615\/7011*57*(2\/1)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - t = l + 29, 3*t = l - 27. Let k(g) = -8*g - 5. Calculate the remainder when k(-5) is divided by l\/15*180\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 115*k + 1099 = 74*k. Is k < 0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z*z)\/z)**(-16) assuming z is positive.\nAnswer: z**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q**(1\/15)*q)\/((((q**(-4\/7)*q)\/q)\/q)\/(q**(-5\/7)*q)) assuming q is positive.\nAnswer: q**(97\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 779, 1742, 3081, 4790?\nAnswer: 6863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 5, 4\/7, 1, 1\/4 in ascending order.\nAnswer: -0.02, 1\/4, 4\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 35 = 215. Suppose -5*q = -4*c - t, 5*q - 6*q + 6 = -4*c. Solve 0 = h - 5, q*g - h = g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2333715.\nAnswer: 3, 5, 155581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -158 (b) -1\/4 (c) 2 (d) 1 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -3. Let k = 8 + m. Is 0.1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z - 7. Let i(o) = -o. Let l(a) = 2*a + 5. Let h(j) = -6*i(j) - l(j). What is 7*h(d) - 5*x(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 1 + 2 - 4*((sqrt(117)*2)\/sqrt(9) + sqrt(13)).\nAnswer: -8*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpq when three letters picked without replacement from {x: 6, q: 2, f: 4, p: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(-24)\/(s**(-6)*s**(1\/11))*(s\/(s**(3\/11)\/s*s))\/s**(1\/2)*s**(4\/11)\/s*s**(5\/3) assuming s is positive.\nAnswer: s**(503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288336392 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 58 = c - 0*c, -5*g + 4*c = -108. What is the units digit of 2\/(-10) - (-144)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-23)\/(f**(-15)*f) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 5287650*a**3 + 1397956838465*a**2 + 2795929539900*a + 1397967413780.\nAnswer: 5*(a - 528766)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106703374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18120814, -18120818, -18120822, -18120826?\n\"Answer: -4*z - 18120810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 4*i**3\/3 + 585*i**2 + 2195*i - 8996. Find the first derivative of w(s) wrt s.\nAnswer: 8*s + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (969\/228)\/(1\/(-180)*-3). What is the highest common factor of a and 570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 13. Suppose -6 = 4*s - 2*v, 3*v = v - 10. Let i be s\/10*(-2)\/4. What is the closest to -1 in i, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (10 + -5) - (-7 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 - 620*m**2 + 59584*m - 1825216 = 0. What is m?\nAnswer: 76, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (116 - (-13 + 37)) + -47\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387112 and 20086?\nAnswer: 4258232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c = -c - 19, -4*c = -4*v + 24. Is v*(-3)\/((-9)\/537) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -56*x + 4652. Let y be q(83). Factor -1\/2*p**y - 162 - 19*p**3 - 342*p - 397\/2*p**2.\nAnswer: -(p + 1)**2*(p + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/39571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -95198024 divided by 44237\nAnswer: -2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102228 is divided by 11358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4593751 is divided by 11484.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t + 4. Let l be z(-3). Suppose 24 = l*h + 5*k - k, k - 11 = -2*h. Sort 1, h, 2 in descending order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 - 3 - (-12 - -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20359440 divided by 6.\nAnswer: -3393240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:29 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154322?\nAnswer: 2, 1077161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -409, -4, 9 in decreasing order.\nAnswer: 9, -4, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (22\/55)\/(((-144)\/10)\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2 + 384*g + 1584 = 0.\nAnswer: -4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/11 + 42018*f\/11 + 13434120\/11 = 0?\nAnswer: -315, 21324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(85)*-5)\/sqrt(5))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 147, 299, 447, 585, 707, 807?\n\"Answer: -p**3 + 4*p**2 + 147*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1089*u - 238492. Determine g(219).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -659*b**5\/60 + 923*b**4\/24 + 31*b**2 + 6*b. Find the second derivative of g(s) wrt s.\nAnswer: -1318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-330)\/123) + ((-256)\/(-6))\/(-64).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*x + 674 = 9*n, -5*n - 5*x = -805. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36282286 and -24.\nAnswer: -23.63717714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 7*s + 4. Let p(g) = -1. Let n(z) = -3*p(z) + t(z). Suppose 4*i = -1 + 21. List the prime factors of n(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*j - 56, 5*j + p = 3*p - 84. Let t = 18 + j. Suppose -2*z + t + 14 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1431*c + 1434*c - 102 = 0. Solve -c*i - 5 = 63 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Does 5 divide (l - 108\/8)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/675*15\/(-24).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:04 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 21 - 0. Let q(d) = -d + 4. List the prime factors of q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 0*y)*(3*y - y + 0*y) + 0*y + 0*y + y**2 + (-894 + 1190 - 591)*(y**2 - 4 + 4) + 6*y - 6*y + 4*y**2.\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(288) - ((5 + (0 + sqrt(288) - sqrt(288)))**2 + sqrt(288))) + ((sqrt(288)*-1)**2*6 - sqrt(288)) + -5 + sqrt(288)*-2).\nAnswer: -10638 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 f when three letters picked without replacement from yyvlqgqqgggfg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/10 - (-21 + -2 + 15)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:07 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - 27.01. Let x = j - -27.76. Round x to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.34523ms in hours?\nAnswer: 0.000192873675","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((-4)\/64*-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l - 10 = 0, 5*p - 4*l - 78 = 0. Let z be 9\/21 - (-22)\/p. Let k be 12\/8 + z\/4. Solve -r = 5*g + 4*r - 15, -5*r = -k*g - 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-55))\/(-2))\/(1\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214799 is divided by 69414.\nAnswer: 6557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((5\/(-1))\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54351 - 15323?\nAnswer: 36025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329*f**3*o + f**3 - 37*f**2*o - 398*f**2 - 9*f*o + 244*f + 41*o - 5 wrt f.\nAnswer: 1974*f*o + 6*f - 74*o - 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 55.7. Let s = 1.8 + v. Let i = -1.1 + s. Sort 0, i, 3\/2 in ascending order.\nAnswer: i, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139\/100 in 0.09, -1, 2\/15, -1.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.23 - -0.37. Let p = -6 + o. Which is bigger: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 - 3*k - 4. Let m be w(4). Solve 2*q - q + 3 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 6724 + 20994 + 40393.\nAnswer: -2*c**3 + 54663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 3, k: 5, y: 2, h: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**2 - o. Suppose 0 = -5*x + 2*f + 2*f + 204, 0 = -2*x + 5*f + 85. Let r be ((-1)\/(-2))\/(4\/x*5). What is d(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let u(n) = 207*n. Give k(u(f)).\nAnswer: 621*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/(-275))\/(3\/75*(-30)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23347181 or 23347184?\nAnswer: 23347181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 9*m + 6. Let j be h(-9). Suppose 3*u = u - 4*y - j, 2*u + 5*y = -8. What is the units digit of (-5)\/u*54\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14847 - -14848. Sort -2, 3, -8, u in decreasing order.\nAnswer: 3, u, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*s**5 + 4*s**4 - 8*s**2 - 2*s + 15700.\nAnswer: 740*s**3 + 48*s**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20900000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -366.57 - -368.57. Let r = -15 + 16.8. Suppose -5*b + 0*z - 5*z = -35, -4*z + 8 = 0. Put r, i, b, 1\/2 in increasing order.\nAnswer: 1\/2, r, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1715923484 + 1.80546\nAnswer: -1715923482.19454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353149 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (952\/(-357))\/((-2)\/(-3)). What is the closest to 2 in 0.3, k, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 879, 3, 0.3, 0.5, -0.17 in descending order.\nAnswer: 879, 3, 0.5, 0.3, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -634835\/14 in 5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1375 and 0.3.\nAnswer: -412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85354 - 25736646 = -g. What is g rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70734673, -141469348, -212204023?\n\"Answer: -70734675*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/171 - (-74)\/(-33)) + 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -p + 179, 0 = -3*p - 2*p + 10. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 8:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 8 + (1 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 48*z + 160. Give o(18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 21*g**2 + 21*g - 17. Let t be l(20). Suppose 4*z = w - 2, 0*w - 4*w = t*z - 8. Solve a + w*m = -8, -9 = -a + 5*m + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*q = -27, 72258*c + 3*q + 52 = 72269*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19808, -49\/6, -1 in decreasing order.\nAnswer: 1, -1, -49\/6, -19808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 3*x - 212. Let s(u) = -44*u**2 - 14*u - 846. What is 2*s(r) - 9*t(r)?\nAnswer: 2*r**2 - r + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -10*v + 10. Suppose -4*d = -v*l - 124, 20 = 6*l - l. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17 = 3*i, -5*i + 4*i - 3*l = -13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -v. Suppose v*w + 4*r = 12, -3*w + 13 = 5*r - r. Does w = -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-59026)\/(-55) - ((-12)\/40 + 1\/(-2)). Calculate the highest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 20. Let s be (-1)\/8 - (0 + 196\/(-32)). Are x and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -803362 divided by -2.\nAnswer: 401681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613244546*p**4 + 244848693*p**2?\nAnswer: -14717869104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t - 5*t - 15*t - 2*t + 2*t + 2*t + (3 - 3 - 2)*(2*t - t - 3*t) + 2 - 2 + t)*(-8*t + 983 - 983) + (-2*t**2 + 0*t**2 + 3*t**2)*(-1 - 4 + 3).\nAnswer: -154*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12556 (base 7) in base 4?\nAnswer: 310231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.7 - -27. Let j = h + 9.7. Let u = j - 11. Which is the second smallest value? (a) u (b) -2\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:35 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31814 and 16?\nAnswer: 254512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 57 = 4*l - q, -l - 3*q - 3 = 0. Let w = l - -11. Sort 5, 2, w.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1636856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 5106*b + 14 - 4056*b in the form r + y*b and give y.\nAnswer: -9162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 1228 = -8*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139956126 to the nearest integer?\nAnswer: 33763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/454 bigger than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45331317 is divided by 9274.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-1212)\/9*6?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101220201221 - 2?\nAnswer: 101220201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 26*f - 5 = 0, 5*i = 5*f + 4230. What is the remainder when i is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 7*l - 2*l - 3 + 3 + (2*l + l + 5*l)*(-1 + 0 + 3))*(1 - 2 - 1) to the form x + v*l and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 75, 188, 407, 768?\n\"Answer: 6*a**3 - a**2 + 4*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -20\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-18)*(-476)\/(-4641).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171260453 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*n + 26, 2*b = -2*n + 3*b + 14. Suppose 0 = -2*v + n - 0. Solve 4*s + 21 = -v*o, 9 = 4*o + 3*s + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let n(w) = -w**2 + 12*w - 13. Let q(c) = -c**2 + c. Let j(a) = -n(a) + 2*q(a). Let f be j(-11). Let z(o) = 2 - f + 0 + o**2. Give z(g(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 14. Let g(o) = -o**2 - 13*o - 5. Let w be g(a). Suppose r = 5, 0*x - 5*r + w = 4*x. Solve x = y + 4 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2508501*h*l**2*n**3 - 2*h*l**2*n**2 + 25*h*l**2*n + 4*h*n**2 + 58*n + 4 wrt n.\nAnswer: 15051006*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105248 or -105246?\nAnswer: -105248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 7:08 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -2 + 7)\/2. What is the greatest common factor of 4 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/8 (b) -0.3 (c) -0.2 (d) -4 (e) -0.5 (f) 681 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t + 222. Let k(g) = 2*g + 109. Determine 2*d(c) - 5*k(c).\nAnswer: 2*c - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -545\/9. What is the closest to r in -5, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -4, 0.0345?\nAnswer: 0.0345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 574 + 737. Suppose -87 = 8*s - w. Suppose 2*v = -3*a + 5*v + s, v - 87 = -2*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 5*k + 5. Let f be (21\/(378\/45))\/((-1)\/2). What is a(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(-2 + 0). Let i be (g + 191)*(-2)\/(-4). Suppose -2*v + i = 2*v. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84125616 by -3505234.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4183566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from honncvou. Give prob of sequence unoo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = -4*i - 3*k, 27 = 3*i - 4*k. Suppose -p - v + 3 = 2, -2*p = -5*v + i. Solve -2*h - 3 + 1 = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.446605l?\nAnswer: 446.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19230.289086 and -872.\nAnswer: -20102.289086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10076064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - i = -5*i + 24, 0 = 5*i - 15. Suppose n*w - 42 = -0*w. What is the least common multiple of (-89)\/(-4) + (-1)\/4 and w?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 201, 2, -16, -7, -4, 6 in decreasing order.\nAnswer: 201, 6, 4, 2, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364548 divided by 6.\nAnswer: -60758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 2*y**2 - y. Let g be 1\/4 - (-21)\/56*-14. Let q(v) = -7*v**3 - 5*v**2 + 3*v. Determine g*l(m) - 2*q(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 2. Let v be c(3). Let u(s) = -s. Let p(g) = 3*g + 10. Let i(j) = j + 9. Let y(h) = 5*i(h) - 4*p(h). Give v*y(k) + 5*u(k).\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5258.429m to millimeters.\nAnswer: 5258429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*a**3*b**2 + 174*a**3*b - 558*a*b**2 wrt a.\nAnswer: -192*a*b**2 + 1044*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/4, -0.063, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/96258474 and -7\/64172316.\nAnswer: 192516948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978321347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 33*s = -54*s - 455 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 94\/(-423)*((-18)\/15)\/(-2). Let q = 4.91 - -0.09. Let c = -143 + 143. Sort c, q, h, -0.1.\nAnswer: h, -0.1, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d - 835. Let v = d - -337. Suppose 16 = 4*p, 5*o + 5*p = 20 + v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 2*o + 2. Let h be l(2). Suppose -2*d = -h*d + 60. Suppose q = -d + 37. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -1.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.13\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23597*u**5 - 204*u wrt u?\nAnswer: 471940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28a1300 (base 12) to base 10\nAnswer: 8172144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75, -612, -2041, -4806, -9351, -16120?\n\"Answer: -74*i**3 - 2*i**2 - 13*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 6*z + 2. Let x = 860 + -568. Let a = -298 + x. Give m(a).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31054\/77685 - 4\/15537. Which is the third biggest value? (a) 4 (b) j (c) -988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let j(u) = 2*u - 3. Let y(v) = -3*b(v) - j(v). Let i(o) = -41 + 9*o + 22*o + 18 + 23. What is y(i(l))?\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-112) + 2 + (-189)\/120\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 1. Let u be w(0). Let f be (-24)\/(-40)*(4 + u). Solve 0 = -f*h - 3*s - 9, -2*h + 4*s + 12 = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.68 + 0.08. Let q = 0.4 - i. Let v = 1460 + -1461. What is the nearest to v in q, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -1458.\nAnswer: 17\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 - 220. Suppose 3*v + 4 = -2*i + 1, 0 = -i + v + 6. Put g, -2, i in descending order.\nAnswer: g, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3257 - 3257. Let g(c) be the first derivative of -2*c**4 - 28\/5*c**5 + 0*c**3 + y*c**2 + 0*c + 21 + 8\/3*c**6. Determine d so that g(d) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1076*o**2*y**2 + 31*o**2*y + 8*o + 255968*y**2 + y + 3 wrt o.\nAnswer: 2152*o*y**2 + 62*o*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {z: 3, a: 2, n: 8, s: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -119 + 139, -5*v + 4*d - 137215016 = 0. What is v rounded to the nearest one hundred thousand?\nAnswer: -27400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414555 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -329570?\nAnswer: 329576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31*444\nAnswer: -13764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.61 - 0.67. Which is smaller: -10 or b?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80\/360 - (2 - 1204\/9)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3886069026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 391611099 divided by 13503831\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8471 * 4\nAnswer: 33884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 83979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82929707 - 2004422?\nAnswer: -84934129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 44 = 27*u. Calculate the greatest common factor of 116 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -74 (b) 1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 4*m - 5. Let g be x(-3). Is 6394 - (-2 - (4 + g)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -89, 109, 349, 637?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*z + 243*z + 892 = 0. List the prime factors of z.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 2*l + 1. Determine d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24496*g + 24513*g + 1639 = 48860*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/127190 and -69\/70.\nAnswer: 127190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 14. Let s = y + 11. Let t(z) be the second derivative of z**3\/6 + z**2\/2 - z. Calculate t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**2\/4 - 191*w\/4 - 27\/2 = 0. Calculate w.\nAnswer: -27, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -0.038 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -11\/2*q**2 - 19\/60*q**5 + 0*q**4 + 5\/2*q**3 - 11*q + 0. Let z(f) be the first derivative of t(f). Differentiate z(c) wrt c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l. Let m(n) = 0*n**2 + n**2 + n**2. Determine m(f(d)).\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2248888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = s - 8, 3*s = q + 6*s - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 147.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3195*v**2 - 3 + 3 + 722*v**2.\nAnswer: -2473*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 15057402*t**2\/7 - 18893764525056*t\/7 + 37787589279744\/7.\nAnswer: -3*(t - 2)*(t + 2509568)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8641 minus 19?\nAnswer: -15.1359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-2 + 0 - 2)*(-3 + 2 + 2)*(1 - 2 + 2)*(-15*z + 10*z + 28*z).\nAnswer: -276*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 41*f - 173. Calculate the smallest common multiple of 11 and l(5).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4 - 6405*i**3 - 3369417*i**2 + 6758061*i - 3382236 = 0.\nAnswer: -1188, -949, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104.8 * 0.2.\nAnswer: -20.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5801520465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19070136 by 6.\nAnswer: -3178356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 724\/5 in ascending order.\nAnswer: -1, 4, 724\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316276*d + 22356 = -315790*d for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.12, 7478, 4?\nAnswer: 5.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15099 is divided by 193?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 2*m**3 - 4*m**3)*((m + 1 - 1)*(1 + 1 - 1) + 4*m - 2*m - m)*(-5 + 2 + 1).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 420, 410, 398, 384?\n\"Answer: -h**2 - 7*h + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -6*c - 76. Suppose 0 = -5*g + 5 - 15, -3*i + c = 2*g. Let a be 0\/(-2) + (-1023)\/(-11) + 19. Calculate the highest common divisor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02022 plus 13197278.8?\nAnswer: 13197278.77978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 375305315 a multiple of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2177\/510 + -72\/17. Let b(u) be the third derivative of 0 + 1\/3*u**3 + h*u**5 - 1\/6*u**4 + 0*u + 12*u**2. Solve b(n) = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101683 times 7?\nAnswer: 711781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n*(n\/(n\/(n**1*n)))\/n*n)\/((n\/(n\/n**(2\/3)))\/n*n\/(n*n*n**3*n)) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -43*x**3 - x - 1. What are the prime factors of s(-1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1997, 3922, 5829, 7706, 9541, 11322, 13037?\nAnswer: 14674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 70, -1\/1697.\nAnswer: -2\/3, -1\/1697, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 + 58. What is the tens digit of (-2)\/(-6) + h\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16363347?\nAnswer: 3, 7, 11, 13, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105831)\/6414)\/(2\/(-1*4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -163 - 106*g + 128 + 314*g. Is l(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.5, 34, 4\/3, 0.4 in decreasing order.\nAnswer: 34, 10.5, 4\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (465\/682)\/((-156)\/(-286))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2 - 1\/1. Suppose -y*h = -4*h. What is the derivative of 5 + h*g**4 - 4 + 3*g**4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.026 in -1, 5, 9, 0.2, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*d - 6*d + 2387 = 534 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3968616 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9\/2. Let t = -341 - -345. Suppose 3*s = 5*p, 8*s - t*s + 2*p + 26 = 0. Which is the third biggest value? (a) 6 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naaaaa. Give prob of picking 1 n and 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 69 = -21. Solve 12 = -3*l - 4*o, -l - f*l = 3*o + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118953, 475987, 1071097, 1904283?\n\"Answer: 119038*d**2 - 80*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 834776*a + 4531548 wrt a?\nAnswer: 834776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4600456 divided by 6.\nAnswer: 2300228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 3. Let f(r) be the first derivative of -2*r**3 + 4*r - 504. What is 2*f(g) + 3*o(g)?\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-85)\/6 + (-3)\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < -0.0836683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1281.34803 + -161420789.65197. Let d = 161422067.80000004 + q. Let i = d - -3.2. What is i rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 0 - (7 + -5). Suppose -3*o + 593 = 3*j + r*o, -3*j = -2*o - 586. Round j to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r + 3. Suppose -5*n + 8 + 7 = 0. Let b be t(n). Suppose b*a + 208 = 7*a. Calculate the highest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**6*c\/c**(-2\/9)*c*((c**0\/c)\/c)\/c**(-2\/3) assuming c is positive.\nAnswer: c**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 31*l + 3. Let w(y) = -y**2 + 6*y - 4. Let r be w(4). Is c(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 + 264*a - 1274. Give g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -17. Suppose 2*o - o = s. Let i(h) = -h**2 + o*h**2 + 0*h**2 + 0*h**2. Let n(m) = 5*m. Give i(n(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*v + 38, 2*j - 41 + 13 = 2*v. Let a(r) = r**2 + 2*r - 1. What is the smallest common multiple of j and a(-4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-54)\/144.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5 + 17. Let q = 4 + -2. Find the third derivative of 3*f**6 + 0*f**q - 5*f**l - 2*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3 + 3*b**2 - 3*b + 3. Give l(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2 + 7\/2*r**2 + 5\/3*r**3 - 3*r - 1\/4*r**4. What are the prime factors of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514040260.\nAnswer: 2, 5, 37, 694649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + r + 4*r, 5*s - 3*r = 0. Let y = -6 + s. Let k(h) = 2*h**2 + 8*h + 6. What are the prime factors of k(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187849232.\nAnswer: 2, 11740577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1713 + -27?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64 * -0.025.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349, -1342, -1321, -1280, -1213, -1114, -977?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1441 = 79. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*y**3 - 362*y**3 - 375*y**3 - 278*y**3.\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 42659\nAnswer: 85318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -208, -505, -872, -1315, -1840?\n\"Answer: -p**3 - 29*p**2 - 203*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -1, -3*y + 125*r - 18 = 122*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*d + 5*i, -i + 2*i - 7 = -d. Suppose 3*q - 5*s - 43 = q, -4*q = -d*s - 61. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 4\/7, 268 in decreasing order.\nAnswer: 268, 4\/7, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -29, -50 in descending order.\nAnswer: 11, 0, -29, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(2*sqrt(77)*2 + sqrt(77) + sqrt(77)))\/((2*-1*sqrt(84))\/(sqrt(24)\/sqrt(2)*6)).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377040331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:45 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 8. Let x be q(8). Let k(j) = 5 + 6 + x - j**2 + j. Let h be k(-4). Is -9 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 11*f**2 + 26*f.\nAnswer: -f*(f - 2)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4 - 5. What is the second derivative of h - 4*h**5 + 10*h**n - 10*h**3 + h**5 wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 5. Suppose y + i + 1 = -0, -5*i - 37 = -3*y. What is w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Suppose 0 = 2*r - y - 34, n*y - 50 = -3*r + 5*y. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 + 4917 = -199*f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - (8 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 33*c - 494. Calculate u(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16 = f. Let v be (-1)\/(-4) - 39\/f. Suppose -2*j + v = -10. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmtmmmtttmttmmm. Give prob of picking 4 m.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0198220477 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:35 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3120 in 30, 1.5, -2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*f + 274, -535 = -4*k - 0*f - 5*f. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -70.82. Let k = 15.12 + q. Let y = 6.9 - k. Round y to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n\/n**0))*n)**(-4\/13))**(-45)\/((n*n**(2\/7))**4)**(-1\/56) assuming n is positive.\nAnswer: n**(53037\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000111 (base 2) to base 6.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -q + 9, -35564*c + 3 = q - 35563*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (sqrt(84) - 1*sqrt(84)) - sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84))\/sqrt(6))\/(-5*sqrt(8)\/sqrt(4)) - (2 + (sqrt(252) - -5*sqrt(252)))*3.\nAnswer: -539*sqrt(7)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6128*n - 12971*n + 75*n**2 + 6843*n.\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnznnnnnnnnnznnnnn. Give prob of picking 2 z.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 - v**5\/20 - v**4\/6 - v**3\/3 + 4*v**2. Let r be c(4). Let h be ((-1)\/r)\/(9\/6). Put h, 4, -1 in descending order.\nAnswer: 4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 36 = -3*i. Let b be ((-6)\/i)\/((-2)\/6). Is (-35)\/1*(-2)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*m**3 + 60*m - 148\/5 - 156\/5*m**2.\nAnswer: 4*(m - 37)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -423, -633, -843, -1053?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)*j)**(-44)*j\/((j\/((j\/(j*j\/(j*j**(1\/3)\/j)))\/j))\/j*j)*j**(1\/3))**(1\/14) assuming j is positive.\nAnswer: j**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000979 rounded to 7 dps?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/7 (b) 2\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.29 + 0.56. What is c rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1320332132 - 20?\nAnswer: -1320332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -286*i + 1. Let u(s) = 74*s**2. What is u(f(b))?\nAnswer: 6052904*b**2 - 42328*b + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/672*-14)\/(3*1\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let r = 16 + -11. Suppose 3*k + 3*z = -9, -37 = 2*k + k - 4*z. Let l(s) = s. Let m(j) = k*l(j) + r*x(j). Let p(n) = -2*n. What is p(m(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -13. Let g = m - 2. Is g + (-2 - -21 - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.61442441 to 1 dp.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 26*a = -28. Suppose -b = -b + a*b. Suppose b*k - 5*r + 57 = 3*k, -5*k + 73 = r. What is the remainder when 50 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-924)*(-13)\/(3432\/42)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0320592028 and 2489.\nAnswer: 2488.9679407972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -41. Let d = -19 - w. Which is the nearest to d? (a) 0 (b) 1\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*q. Let m = 37 + -34. Solve 0 = -q*w - 3*b + 10 - 4, -m*w = -2*b + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 24 + 6 - (-19 + 3 - 1).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 151, 85, -29, -203, -449, -779, -1205?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1961 + -1120. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 - 9*l + 10. Let g be t(9). Let p be -10*(-1)\/3*3. Calculate the greatest common factor of p and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - c**3 + 2*c**4 - c**2 - 3*c**4 - 4*c to j*c**2 + f*c**3 + k + y*c + v*c**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m - 3*m)*(-3 + 4 + 1)*(40*m - 22 + 22) in the form l*m**2 + j*m + s and give l.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.2 + -8. Let w = -3.2 + y. Let d be 2\/(-3) - -1 - 0. Which is the second smallest value? (a) -0.4 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*q = 22, -5*o = -3*o + 4*q + 12. Differentiate n**2 - 226 + 143 - o*n**2 + 123*n**4 + n**2 wrt n.\nAnswer: 492*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70849.3 * -3.\nAnswer: 212547.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuw. Give prob of picking 1 w and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1750 and -17\/94500.\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -41. Let b(a) = 668*a + 1673. Let z(h) = -b(h) - 3*s(h). Find the first derivative of z(d) wrt d.\nAnswer: -668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 + 178\/(-612). Let l = c - -4\/17. Let a = -2.7 + 3. Sort -1\/5, a, l in increasing order.\nAnswer: -1\/5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 0 (c) -12 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - j + 9 = 0, -5*i + 16*j - 15*j - 13 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.85 + -22.86. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67689888.\nAnswer: 2, 3, 7, 263, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 3 - 7*s + s. Let m = -3 - -4. Let i be (m - -1) + (-16)\/2. Give r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 10*t - 5. Let p = -60 + 51. Let c be x(p). Let i = c + -70. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -941.000008522 + 941. Round x to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1153 - -4?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.5117 kilograms to micrograms.\nAnswer: 812511700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6142378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/1962801 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - 15*o - 23. Suppose 5*j = v - 56, -5*v - 17 = 4*j + 22. Let i be a(j). Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + 6 + (2 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1613 divide 224507189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-9)\/(-54)). Suppose -q*v + 142 = 2*v + 4*n, -160 = -5*v + 5*n. Suppose v*x = 35*x - 20. What is the biggest value in 0, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1696.8.\nAnswer: -1696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/7, 3, -3, 2\/7, -898 in increasing order.\nAnswer: -898, -4, -3, -3\/7, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9192 divided by 766\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -10, -0.5, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = u + 5*k + 3, 23 = u - 5*k. Suppose 50 = -u*h + 10*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 5*b**2 + b + 9. Let j = -5 + 8. Calculate the remainder when d(0) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5873*o. Let u(c) = -2*c**2. Calculate u(g(f)).\nAnswer: -68984258*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16\/7 - -18\/7. Let z = -0.15 + -0.05. Let d = z - -0.1. Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 10\/15*-6. Let m be (-3 - 16\/24) + (i - -3). Sort 5, -1, m in increasing order.\nAnswer: -1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*b + 2. Is b greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7117 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/((-7)\/70). Suppose -7 = -u*b - o, -5*b - 5*o + 1 = -4. Let l(z) = 71*z**2 - 2*z + 2 - 2*z + z**3 - 67*z**b. Determine l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.03091, 2, -3\/7, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2499, 3, 1\/2, 5, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21482 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -0.01?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -9009 and -9009 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-4 + 6)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 13*y - 60. Let a be p(3). Let v(m) = m**3 - 4*m**2 - 4*m - 1. Determine v(a).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 5. What is the remainder when 36 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + y - 1)*(4*y + 2*y - 4*y) - 2*y**2 + 3*y**2 + 0*y**2 - y**2 + 1 - 1)*(-48 - 20*y**2 + 48).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 64 = -4. What is the remainder when 31 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42176*m**2 - 14057*m**2 - 14058*m**2 - 14060*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 40 = -2*y, y = -5*l + 2*l - 41. Let d(i) = -i**2 + i - 2. Let m be d(4). Is m <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26510)\/(-154) - (-2)\/(-14). Suppose -4*k + 4*s + c = -k, 4*k - 3*s = 220. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225 + 4*v - 111 - 112 to the form k*v + l and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3 - 5*x + x**2 + 0*x**2 - 2*x**2 + 2 + 9 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-12)*1 + (-338)\/120 and 41\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149820 divided by -29964\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 7*f**6\/720 + 8*f**4\/3 + f. Let r(k) be the third derivative of x(k). Let t(u) = -2*u**2. Give r(t(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 1610 = -72*t + 1465 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/39 - 14474935\/(-897)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 + 2764*f\/5 + 30646\/5 = 0 for f.\nAnswer: -11, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*y + 133*y + 142*y - 9976664. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 7.09. Let x = -4 + s. What is the nearest to -1 in -4, -3\/8, x?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5014288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69449 + -7c?\nAnswer: 693ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68328 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**3\/3 + 9*b**2\/2 - 8*b - 39. Let o be t(14). Let r = o + 458. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + b = 10, b + 0*b = -a + 4. Let g be 1*a*4\/2. Let q = g + 2. Solve 5 = -h - q*h, k + 8 = -2*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60355 divided by -12071\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i. Let r be p(2). Let d = r - -7. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/72*9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 14 + -1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3028, -6053, -9080, -12109, -15140?\nAnswer: -18173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 272 + 73. Let b = t + -79. Which is greater: -37\/4 or b?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 45180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1176991674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, -2\/11, 1.7 in increasing order.\nAnswer: -1, -0.5, -2\/11, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1.6. Which is the third smallest value? (a) f (b) 6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 15*t. Let h(d) = -50*d. What is h(o(j))?\nAnswer: -750*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 185 = 5*x, x + 41*z - 44*z + 101 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 5*h - 33, -2*h = -5*v - 33. Let b = 37 - 16. Suppose -3*f + 2*w = -6*f + 39, -2*w = -f + b. What is the remainder when f is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 4*s**2 - s - 5. Let b be v(-4). Let p be b\/2*(-6 - -6). Sort 3, 12, p.\nAnswer: p, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bb (base 16) to base 8.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(78\/(-1378)*(6\/(-12))\/(-1)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 49 + 34 - 76 in the form i + q*z and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j + 12 = -4*k, 0 = -2*j + 5*k + 3. Let h(p) = 8*p + 4. Let d be h(j). Suppose 2*l = 3*l - d. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -8, 3, 14?\n\"Answer: 11*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:57 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 1154287*q**2 + 2*q - 3*q - 1154287*q**2 + 14*q**3.\nAnswer: 12*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2084.4 or -0.1?\nAnswer: -2084.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.03. Let o = i + 0.18. Let h = o - 0.1472. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/78287 and 69\/14234.\nAnswer: 156574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 4*o + 3. Let m = 21 + -16. What is the hundreds digit of s(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127952903 greater than -127952908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 8*y + 2. Let u be r(-8). Suppose -5*f + u*n = -n - 54, 2*n - 4 = 0. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - 85 - (2 + 0 + -5). Let d = -87 - h. Solve 5*c - 12 = -d*c - b, 3*b = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 0 - (-4 - 3). Suppose 5*z + 12 = r*z. Solve 20 = -5*l - b, -4*l + z*b = 5*b + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-4))\/(5\/(-10)). Suppose -4*n = -5*r + 195, 0 = -w*r + r + 3*n + 155. Suppose -4 = -2*a, -96 = -3*c - 4*a + r. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 + 5 + 2*k - 5888*k**2 - 3*k - 12. Let v be g(3). Round v to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27920 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.3 - -17. Let s = k + -0.3. Let r = 0.03 - 0.43. What is the closest to 1 in r, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2\/11, -698\/7, -5\/3, 4\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 24.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/6750 and 79\/86400.\nAnswer: 432000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 2*(sqrt(72) + sqrt(72) + -1 + 2)*-6*5))**2.\nAnswer: 2304000*sqrt(2) + 26022400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001001011100000?\nAnswer: 1001001011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (21436 - 25163 + 18429)*(-1 - a + 1) + 3*a - 7*a + 2*a as h*a + o and give h.\nAnswer: -14704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*f = -2, -3*j + 5*j - 5 = 5*f. Let m(h) = -h**3 - h**2 + 2. Let v be m(j). Find the first derivative of 1 + 4*s**v - 4 - 3*s**2 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-404)\/(-52318)*56\/12*(-3)\/6?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11102297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 3*n**2 + 3. Let a = -5 - -2. Let v be u(a). What is the first derivative of -5 + v + 0*p**4 - 3*p**4 + 4 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 17*l**2 + 1476*l - 25084. Calculate z(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z = -64*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*n + 0*n - 178 = 0, 4*t + 3*n - 161 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75.8 + -11.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1062, -4092, -8990, -15648, -23958?\n\"Answer: 18*p**3 - 1042*p**2 - 30*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 20112022?\nAnswer: -20112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406319 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*l = 27 - 12, -3*c + 9 = 3*l. Suppose k + 14 - 6 = c. Let m = k + 11. Let y(x) = -x**3 + x**2 + 4*x + 1. Calculate y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27031 plus 0.05?\nAnswer: 27031.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13997.\nAnswer: 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -295, -869, -2491, -5689, -10991, -18925, -30019?\n\"Answer: -88*x**3 + 4*x**2 + 30*x - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3835050 - 3835050 + 40*d**3.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6601)\/(-207) + -32 - (-4 + 5)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742654 is divided by 721.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -197853 + 196682.41. Round w to the nearest ten.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -56a6?\nAnswer: 56a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 2, h: 1, k: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-7) + 58\/203. Suppose -i*q + s + 318 = 0, 0*s + 630 = 4*q - 5*s. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 28) + 1 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 1 + 7. Let u = 39 + -30. Let t = u - 10. Is n less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/4095*-5)\/((-290)\/1015)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l*t + 394*l + 217*t**2 - 3 wrt t.\nAnswer: 6*l + 434*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4501*m**4 - m**3 + 32*m**2 + 17?\nAnswer: -108024*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149731*q**5 - 69*q**2 + 968*q?\nAnswer: -8983860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3 * -157486.\nAnswer: 677189.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x - 10. Let o(s) = -787*s - 36. Determine -3*k(c) + o(c).\nAnswer: -808*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -50*t**2. Let k(y) = -7*y + 4. Let d be k(-2). Let s(i) = 4*i**2 - 18*i - 2*i**2 + d*i. What is s(g(q))?\nAnswer: 5000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**3 + 52*j**2 + 124. Let s(h) = -3*h**3 - 18*h**2 - 44. Determine 17*s(z) + 6*y(z).\nAnswer: 3*z**3 + 6*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13 = -1. What is the remainder when 10 - (2 - (2 + 1)) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4600149*i**2 - 2*i + 1355925.\nAnswer: 9200298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31873763 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*x**3 + 0 + 30*x**2 + 0*x = 0. What is x?\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 574.223 + 0.777. Let d = z - 578. What is the biggest value in -2\/5, d, 1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z. Let p(c) = 30*c**2. Give p(h(m)).\nAnswer: 6750*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6339751*d**4 + 2*d**2 - 573323 wrt d.\nAnswer: 152154024*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4735\/12 - -399. Find the common denominator of (-339)\/(-54) + (-7)\/21 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -198. Let k = -1 - 0. Let o = 0.2 - 0.6. What is the third biggest value in k, o, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-75))\/(2\/(-90)). Let u be (1\/2)\/((-9)\/v) + 8. Calculate the greatest common factor of 112 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 1\/2. Let z(k) = 4*k**2 - 92*k + 2. Let l be z(23). Put l, -2, u in decreasing order.\nAnswer: l, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let f(x) be the second derivative of x**5\/30 + 13*x**3\/6 + 25*x**2\/2 - 54*x. Let n(o) be the first derivative of f(o). Determine n(i(l)).\nAnswer: 8*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 9*k**2 + 7*k + 5. Let d be q(-8). Let h = -8 + d. Calculate the highest common factor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 11*x - 856. Calculate the smallest common multiple of r(30) and 26.\nAnswer: 7982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 32. Suppose g*c + 323 = -14*c. Let a = -3 - 14. Does a = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4620 = -13*s. What are the prime factors of s?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/3 + 19816*d**3\/3 + 146646*d**2 - 9988560*d - 10128600 = 0. Calculate d.\nAnswer: -51, -1, 30, 9930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110110110000111 (base 2) in base 3?\nAnswer: -20102022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -618*v**3 + 8*v - 8. Let s(j) = -j**3 + 2*j - 2. Calculate -4*s(c) + x(c).\nAnswer: -614*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 1 + 25*c + 5 in the form j*c + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -7bc05?\nAnswer: -7bc06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*x = -50 + 26, -3*q = 5*x - 28. Solve -31 = -10*d - q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042166 to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -4 (b) -1 (c) -13825 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 359.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-6))\/(11\/(462\/(-4))))\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*c - 5)*(-499*c**3 - 785*c**3 + 30*c**3).\nAnswer: 2508*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 164 = 5*j - 163, 0 = -3*j - 5*t + 9. What is the fourth biggest value in 0.1, -4, 3\/23, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*27\/12)\/(21\/(-14)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2312\nAnswer: 1\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3*(-4)\/(-18)). Let d(z) be the first derivative of -7\/24*z**6 - 1\/2*z + 11\/8*z**2 - 1\/4*z**4 + 2 - 7\/6*z**h + 4\/5*z**5. Solve d(f) = 0 for f.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470259 + -1302.7756\nAnswer: -471561.7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 10. Let z be -82 + (1 - 4 - v). Let a = z + 163. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/11)\/b*b*b**(-1\/6)*b*b**9\/b*b*b**(4\/7))**(-2\/31) assuming b is positive.\nAnswer: b**(-151\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 23247870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - (21 - (-11 - -38)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -3.945, -6\/13 in increasing order.\nAnswer: -55, -3.945, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-10))\/(66\/(-3080)). Let h be 1 - 559\/4 - (-42)\/t. Is -3*(-2)\/(-9)*h\/4 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((-6)\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 4*i**5\/5 - 9*i**4\/2 + 2*i**3\/3 - 9*i**2 - 93. Find the third derivative of j(a) wrt a.\nAnswer: 96*a - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -17. Let c(k) = -29*k + 12. Let p(g) = 7*g - 3. Let x(z) = v*p(z) - 2*c(z). What is the derivative of x(q) wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -71. Which is the nearest to 1\/2? (a) -3 (b) s (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17761022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**3 + 2*h**2 - 12*h + 1. What is the hundreds digit of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -213.9 (b) 2 (c) -138 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 10*n**3\/3 - 3*n**2\/2 - 9*n - 3. Let j be d(-10). Solve -4*w + j = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1*1 + sqrt(190))\/(sqrt(1210)*2 - sqrt(10)))**2 - (sqrt(684) + 1 + sqrt(684) + sqrt(684) + -5 - sqrt(684))**2*4.\nAnswer: -4854452\/441 + 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1592\/10)\/(-6 + 56\/10). Let m = -1992\/5 - q. Which is the fourth smallest value? (a) m (b) 0.03 (c) 0.2 (d) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*o - 867*o + 29*o + 2*o - 314*o + 77*o.\nAnswer: -1297*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 49. Let a(v) = -7*v**2 - 4. Let k(y) = -10*y**2 - 6. Let x(m) = -7*a(m) + 5*k(m). Calculate x(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 9*q**2 + 7*q - 11. Let d be x(-8). Let y be (-1 + (-2 - d))*-1. Suppose 4*c = -y*c + 16. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(128))**2*2*-6 - (-2*2*sqrt(18))\/(sqrt(9) - sqrt(18)\/sqrt(2)*-6).\nAnswer: -1644 - 4028*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926 a factor of 2673231828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*41522)\/2 + (-1880)\/(-47) + -47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -215.7, 0.2?\nAnswer: -215.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*p**6 - 19*p**2 + 8*p**2 + 30*p**2 wrt p.\nAnswer: 1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14888*o**2 + 8*o - 35816. Let h(c) = 9924*c**2 - 5*c + 23878. Let j(a) = 8*h(a) + 5*i(a). Differentiate j(t) wrt t.\nAnswer: 9904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*r + 16, -3*d - 3119 + 3098 = -3*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*w + 3 = -7, 2*v + 5*w = -16. Let i be -1 + 1 - v\/(-7). Determine q so that 0 + 2\/7*q**3 + 0*q - i*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(8)\/sqrt(4) + sqrt(2) + ((-1*sqrt(2))**2 + 1 - sqrt(2)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289 + -288.95. Which is the smallest value? (a) d (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33238344*q**2 - 1719010 wrt q?\nAnswer: 66476688*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1914116 + 30027407 = 0. Suppose 10741523 - l = -4*a. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2839*d**3*r*s**2 + 819*d**3*r*s + d**3*r + 2*d**2*r*s - d**2*s - 3*d*r*s**2 + r*s wrt s.\nAnswer: -5678*d**3*r - 6*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 19 - 19)*(-2*j + 3 - 3) + (-j**2 + j - j)*(-5*j + j + 3*j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 8, 0 = -r - 5*z - 22. Is r at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 5*t**2 - 4*t**2)*(-t**2 - 2*t**2 + 6*t**2).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -5, 90881, 29, 5.\nAnswer: -6, -5, -1, 5, 29, 90881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5*u - 3*l**3*u - l**3 - 29*l**2 - 5*l*u wrt l.\nAnswer: 120*l**2*u - 18*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537587356 and 796?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 43*h + 5365 = -105*h for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {o: 1, s: 4, j: 1, k: 6, x: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78331199059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.68 * -17.7.\nAnswer: -312.936","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -148, -323, -566, -877, -1256, -1703?\n\"Answer: -34*j**2 - 5*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 758*f + 5. Let a(k) = -379*k - 2. Let l(o) = -5*a(o) - 2*t(o). Let j(s) = -3604*s - 3782*s + 7387*s. Determine j(l(r)).\nAnswer: 379*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 41*r**2 - 12*r - 53. Let g be p(18). Let t = 18196 - g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**2 + 2*p**2 - 35*p**2 + 8*p. Let t(b) = -15*b**2 + 3*b. Let d = 1323 - 1331. Let a(s) = d*t(s) + 3*z(s). Let q(r) = r**2. Calculate q(a(h)).\nAnswer: 324*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k - 27. Let r = k - -11. Solve 0 = -3*j + 2*j - 3*i - 16, -r*j - 5*i = 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990 divided by 101.\nAnswer: 990\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 61, 2\/31, -140?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -780 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -422*y + 55718. Calculate c(132).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u - 41 = -46*u - 3*l, 4*l = -3*u + 22 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -0.610903?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-5)\/3 - -2). Let r be z\/(-4) - 2\/1. Is -3\/8 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3835*l - 3051. Is p(56) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118 times -1.143?\nAnswer: -2420.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-420)\/8)\/(-7))\/((835\/2338)\/((-280)\/147))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*f + 7*f - 193*f**4 - 13*f - 36*f**4 + 177*f wrt f?\nAnswer: -2748*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -27*o + 19*o. Calculate the lowest common multiple of o and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 13*x**3 + 3 - 3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, -267, -1615, -4427, -9189, -16387, -26507, -40035?\nAnswer: -57457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 23 - 50 + 122. Let z be y(-7). Let v be (2 - (-3 - -2)) + (-327599979)\/z. Round v to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 14 = 3*x, 0 = 4*x + i - 0*i - 19. Let c = 22 - 16. Calculate the smallest common multiple of x and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0725 to two dps.\nAnswer: 6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 - 19*d + 44*d + 2*d**4 - 30*d in the form l*d + q*d**4 + h + k*d**3 + f*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -15*r**2 - 14965*r + 692930 = 0?\nAnswer: -1042, 133\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6282693876.\nAnswer: 2, 3, 17, 41, 389, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/29 (b) -1 (c) -1\/3 (d) -4 (e) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/2, -3, -11\/8 in descending order.\nAnswer: 1\/2, 2\/11, -11\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19557541 - 230.8.\nAnswer: 19557310.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-218)\/(-114) - (-6)\/(-9) and -125\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(243)*-2)**2 - sqrt(243)) + sqrt(243) + ((sqrt(243) - sqrt(243)*3)*4)**2.\nAnswer: -108*sqrt(3) + 16533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*i + 21 + 116. Sort i, 2, -3, -4, -54 in ascending order.\nAnswer: -54, -4, -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17283636*o - 1272019 wrt o.\nAnswer: 17283636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5 - 668*a**4\/5 + 3144*a**3\/5 - 3392*a**2\/5 + 896*a\/5 = 0.\nAnswer: 0, 2\/5, 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b**4\/5 - 240*b**3 - 24524*b**2\/5 - 30160*b - 284258\/5 = 0.\nAnswer: -29, -13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 578.357 * 0.38\nAnswer: 219.77566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9886 is divided by 131.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 3\/5 (b) -1 (c) 0.04 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16301350*q**4 + 22462632.\nAnswer: -65205400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6978563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 226, -3, 3\/142, -14.3?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1280, 1457, 1768, 2213, 2792?\n\"Answer: 67*u**2 - 24*u + 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-15)\/6)\/1*(-144)\/135.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 2*w + 1. Let c be b(-1). Suppose c*x + 2*v - 18 = 4*v, 4*x = 5*v + 21. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -75\/11 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 86*t + 525\/2.\nAnswer: -(t - 3)*(t + 175)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 180\/24*(-1 - -3) - (-9 + 17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -213251 times -0.1\nAnswer: 21325.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*q + 3 = 0, y - 1 = -2*q + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 - (0 + -4) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -17. Let z(u) = u**2 + 25*u + 26. Let i be z(-25). Let r = i + n. What is the least common multiple of 28 and r?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24741496 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3\/3 + 49472*g**2\/3 + 87827408*g\/3 + 175456960\/3 = 0.\nAnswer: -10220, -2146, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 859008743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4 - (-39)\/(-26). Suppose -2*g + 5*g + l + 9 = 0, 2*g - l = -c. Let f(x) = 5 + 2*x + 0*x - 2. Give f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 22488 in decreasing order.\nAnswer: 22488, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-27)\/o)*o*o\/(((o\/(o\/(o*o**13\/o)))\/o)\/o) assuming o is positive.\nAnswer: o**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 9132*c + 18256.\nAnswer: 2*(c + 2)*(c + 4564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g**5 - 5*g**3 - 4*g**2. Let i(o) = 19*o**5 - 6*o**3 - 5*o**2. Let d(p) = -5*i(p) + 6*v(p). Find the third derivative of d(r) wrt r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (24540\/72)\/5*(1 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22617664 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m**2. Let z(i) = 28*i**2. Give z(g(w)).\nAnswer: 5488*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnntntntnngtnt. Give prob of sequence nt.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1351*a - 81904 + 10301 = 0 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*k = -11, 0 = -4*s - 2*k + 1 + 1. Suppose g = 4*f + 5, -15 = 9*g - 4*g. Do s and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62437 - 62437 + 575*h)*(2*h**2 + h**2 - 5*h**2).\nAnswer: -1150*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 185 - 169. Suppose 2*z - n*s - 1668 = 0, -2*z - 18*s = -13*s - 1632. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 4 (c) 1.5 (d) 8.296 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d - 69*d = 5808. Let f be (-49)\/(-7) - 4 - (0 + d). Suppose 0 = 5*q + 2*m - f, 2*q - 747 + 165 = -4*m. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.111, -4, 2\/11, -0.3, 5.\nAnswer: -4, -1.111, -0.3, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 13, 22, 47, 94, 169, 278, 427?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*z + 24, 0 = -4*y + 4*z - 5*z + 20. Differentiate 21 - 10*l**4 + 9*l**4 - 16*l**y wrt l.\nAnswer: -68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -297, -296, -295, -294, -293?\n\"Answer: g - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 23, 0 in increasing order.\nAnswer: -134, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/546)\/(102\/(-28))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + c = 10, 2*l + l + 5*c - 6 = 0. Solve -2*j = l*u - 0*u, -4*u - 36 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/9)\/10*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56659718 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s**2. Let w(g) = -8*g**2 + 14*g**2 + 0*g**2 - 7*g**2. Determine w(l(o)).\nAnswer: -169*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1232 and 149\/947232?\nAnswer: 6630624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 118*l**2 + 79*l**2 + 109*l**2 + 15 - 7 to the form o*l**2 + i*l + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 not equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.6315 decades in months?\nAnswer: 73275.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -11 (c) -9543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165759 divided by 37?\nAnswer: 165759\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 + 35080*j - 35084 = 0.\nAnswer: -8771, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/117 + 3323\/1287. Let n = 14351\/3492 + -21\/388. Calculate the common denominator of o and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-1)*(-5)\/85*(-59)\/(-3186)*-153.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3083.169 weeks to seconds.\nAnswer: 1864700611.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**4 - 7*a**3\/3 - 3*a**2\/2 + 15*a + 263. Does 55 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35867516 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 48*z**2 + 66 - 30 - 49*z**2 + 26*z. What is c(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 11, q: 1}. What is prob of picking 2 j and 1 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 - q**2. Let r be p(-1). Suppose -6 = -r*v + 2*v. What is the lowest common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/7 (b) 55 (c) -41 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 + 6)*(-17 + 4*d + 17) + 0 + d + 0 + (2*d + 2 - 2)*(3 - 4 + 2))*(-1 - 5 + 3)*(-5 + 1 + 3).\nAnswer: 129*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135795570 and 21.\nAnswer: 950568990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 918\/(-60)*(-3315)\/5967?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34363, 68725, 103087, 137449, 171811?\nAnswer: 206173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 - 374. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 29259631*w. Let o(c) = -16*c. Give o(b(f)).\nAnswer: -468154096*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4777 times -0.2?\nAnswer: 955.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*b**3 + 171 - 171.\nAnswer: -111*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, 825, 8, 0.5 in decreasing order.\nAnswer: 825, 8, 0.5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:23 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 + 15203*j\/3 - 15206 = 0.\nAnswer: -15206, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.8 - -5.8. What is the nearest to 1 in -1.3, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -45.1?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 627 + 3405 = -1764 for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41824340 and 62.\nAnswer: 1296554540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, -3, -2732798, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127388 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 21*g = 24*g - 11, q = -g + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 1 (c) -2\/3 (d) -4\/9 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t**3 + t**2 - 2*t - 3. Let z be s(-1). Let a = z - -66. Let n = a - 5. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*y - 18. Suppose 8*l - 6*l - 6 = 0. Solve 11 = -2*d + m, l*d - y*m = m - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -0.1, -99.4, 3\/5, -23.4, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + l - l**2 + 15 + 20 + 23 + 28 - 160 in the form y*l**3 + a*l + r + q*l**4 + n*l**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 24186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 37 = -33. Solve q*h = 0, 2*w - 11 + 1 = -3*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**46\/((x*(x**(-2\/5)\/x*x)\/x)\/x**(2\/15))*(x**(2\/3)\/x)**(-16)*x**(-5)\/((x**(-3\/4)*x)\/x) assuming x is positive.\nAnswer: x**(1937\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**4 + j**2 + (-3*j + j + 3*j)*(3*j**3 - 2*j**3 - 3*j**3) - 1 + 1 + 3*j**4 + (2*j**3 - 5*j**3 + j**3)*(-2*j + 0 + 0).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 228. Let y be (-22 + -13)\/(1 - 2). Suppose 34*i = y*i - 29. What is the remainder when f is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/858*-91*2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21428 + -0.84033. Round l to three decimal places.\nAnswer: -0.626","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from {g: 5, p: 8}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -631*u - 239. What is the units digit of j(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71877 > 71788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*o - 3*o**3 - 49*o - 49*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7425623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 14 = -2*g, 4*w - 5 = 5*g - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 4*m + 1. Let w be d(-3). Suppose 3*n = w*n - 12. Find the first derivative of 2 + 1 - 2*g**n - 2 - 2 wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12233 (base 5) in base 11?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2042 (base 5) to base 9.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2*j*o**3 - 2*c**2*o + 81464*c*j + 13*j*o**3 + 13*j*o**2 + 147*o wrt c.\nAnswer: 6*c*j*o**3 - 4*c*o + 81464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.01 + -11.1. What is f rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7904 and 380224?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -360017 and -1148.\nAnswer: 413299516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -22. Suppose 4*g = 11 + n. Let a be 88\/40 + (-2)\/g. Solve r = 3*r + a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 5*n**2)*(-1365*n + 2425*n**2 + 1365*n).\nAnswer: 7275*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 6. Let t be (9\/(-3))\/((-1)\/2). Suppose 2*n - 5*n = -t. Let g(o) = -4*o + n*o + 5*o - 2 + 19. Calculate -4*g(s) - 11*i(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**28))**38\/(k**16\/k**(-40)) assuming k is positive.\nAnswer: k**(-1158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = q + 5*y, 58638*y = 4*q + 58640*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}