diff --git "a/data/dm_maths/full_data_1/10693_11255.jsonl" "b/data/dm_maths/full_data_1/10693_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10693_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -n + 2*n = 8. Suppose -a = j + a + n, -12 = -2*j + 3*a. Solve i + j*i + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 74*r**4 - 37*r**2 - 37. Let g = 81 + -80. Let f(k) = -k**4 + 1. Let c(m) = g*n(m) + 37*f(m). Find the third derivative of c(x) wrt x.\nAnswer: 888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3763*f - 3758*f + 4493*f**2 - 1071*f**2 in the form m*f + y + i*f**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-1596))\/(511\/438).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(25*(-10)\/1250)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -22. Suppose -2*i = d - 72, -2*i - 3*d + 56 = -24. Let b be i\/5 - 20\/25. Calculate the greatest common divisor of c and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riii when four letters picked without replacement from rairxii.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 12:36 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 5*i - 3. Let a be x(-6). Let n = a + 73. Let m = n + -6. Calculate the highest common factor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75526914 divided by -119694?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + g**2. Let x be t(1). Suppose -x*f = f + 16. Calculate the least common multiple of ((-10)\/f + -3)*-6 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 2*q + 3*q - 6*q + 3*q + q - 1 + 1 + 2*q + (-1 + 3 - 1)*(2*q + 2*q - 3*q) + 5*q + 11 - 11 + (-3 + 3 - 1)*(q + 0*q + q) + q - 4 + 4.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 - 4*w - 2. Let r be y(-5). Let p = r + 9. Suppose 4 = -o + p. Let g(q) = 2*q. Calculate g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -76*r**2. Let c(n) = -1900*n**2. What is -3*c(j) + 76*f(j)?\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12007 or 12011?\nAnswer: 12011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14582, -29197, -43894, -58715, -73702?\nAnswer: -88897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 3. Let g be (-2 + 5)\/((-12)\/8). Calculate the remainder when t(g) is divided by (-2)\/7 + (-30)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 12, -3\/8, -0.6, 5, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + -2*sqrt(99))*-5*-4)\/(((-1*sqrt(504))\/sqrt(8))\/(1*sqrt(175))).\nAnswer: -600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (43 - 38)\/((-2)\/(-1) - 1). Solve 0 = -3*h - n*i, 4*i - 13 = -5*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 5*n - 17. Is 30\/43 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1679, 7, 3, 5.\nAnswer: -13, 3, 5, 7, 1679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94596241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-102)\/12 - (-36)\/4)\/(2\/(-8)). Let c = 22 - 31. Let t be 2 + (-21)\/3 - -2. Sort b, c, t in ascending order.\nAnswer: c, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 6*l - 6. Let c(r) = 0 + 7 + 2*r**2 - 5*r - 2. Let a = -5820 - -5815. Calculate a*b(h) - 6*c(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 939127 - 269570. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 5, 1\/3, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4, 5 in decreasing order.\nAnswer: 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390 is divided by 108?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-45))\/(10\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278089873.\nAnswer: 3, 19, 4440721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2082 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -36 (b) 1 (c) -3 (d) -0.01 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 152 - 1055*p**2 + 212 in the form n + x*p**2 + h*p and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 52 = -16*i, -16952*g + 16940*g - 6*i + i = -109 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k**2 + 117*k - 87. Give f(7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -142. Solve 13*x = r + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -6.1, 1\/3, -0.02, -0.6?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + j. Let w(b) = 4*b**3 + 18*b**2 - 6*b + 1. Calculate 6*d(x) + w(x).\nAnswer: -2*x**3 + 12*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((686\/105)\/7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - -1)*(2 + -4). Let n be p\/(-4) - 25\/60. Which is the third smallest value? (a) 1\/2 (b) -5\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -32.9. What is the third smallest value in -1\/8, -1, 23, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/10 + (-40)\/100. Put 5, -11\/2, q in ascending order.\nAnswer: -11\/2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 6*q - 11. Let k = 310 - 418. Let x be -4*k\/84 + 2\/(-14). Give o(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -2*z, 5*n - n + 4*z - 24 = 0. Suppose 2 = n*v + 30. List the prime factors of -2 + 0 - (1 + v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 31*l - 81. Give n(34).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-567)\/(-486) - (-6)\/(-36)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240290793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1044 or 7300\/7?\nAnswer: 1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*o - 376, -2*b + 5*b = -4*o + 502. Let v = o - -64. Let n = v - 95. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3)\/m*m)**42 assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(14)\/(sqrt(7) + sqrt(567))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w - 3. Let z(f) = 6*f + 1. Let k(o) = 4*h(o) + 9*z(o). Let s be k(7). Let d = s + -39. Solve -m - 2 = -d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3)\/d)**24)**(-2\/159))**(8\/13) assuming d is positive.\nAnswer: d**(256\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/4)\/13)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 43*m + 42.\nAnswer: -(m - 7)*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/17388, 0.1, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2323b12 - 8?\nAnswer: -2323b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*m = -9, 18 = -5*w - 0*w + 58*m - 57*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 74266, 0 in decreasing order.\nAnswer: 74266, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 105 - ((-1 - -5) + -23)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 16. Suppose -3*c = -6 - 6. Calculate the remainder when w is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:43 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 93311.\nAnswer: 9331.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.03 = 11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16763 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d - 112. Let r = 19 + d. Suppose 0 = 2*k - 6, -a + r*k = 5*k - 40. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v = -3*m - 55*v + 5, -3*v - 20 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 11*r - 62. Let a be y(-14). Let n(t) = -62*t**2. Let d be n(-1). Let j = 43 + d. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, 14, -3 in increasing order.\nAnswer: -4, -3, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:44 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - ((-108)\/(-14) - 2). Let o(r) = r**3 + 6*r**2 - 2*r - 3. Give o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4364.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/((-6300)\/(-231)) - -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016524 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 212913 + 425830 - 212917.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:07 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -375 + 5*b**2 - 15*b**3 + 37*b**3 + 2*b - 5*b**2 - 5*b**2 - 20*b**3 as s*b + f*b**2 + u + n*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 12*f**2 + 36*f - 244. Give z(8).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-3)\/(-89)). Let t = v - -23. Let i = 2 - 1.7. What is the closest to 1 in i, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 2*y**4 + 0*y + (7*y**2 + 3*y - 3*y)*(7*y**2 - 3*y**2 + 3*y**2).\nAnswer: 47*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*z + 888, -6*a + z = -a - 1134. List the prime factors of a.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 2208*h\/7 - 4500.\nAnswer: 3*(h - 14)*(h + 750)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 21\/2. Let h = 12.04 - 12. Let k = h - -0.36. Put n, k, 0.07 in increasing order.\nAnswer: 0.07, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2. Give o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 3*r**2 + 2*r - 3. Let p be n(-2). Suppose -3*s + p*c = 16*c - 629, 5*c - 25 = 0. What are the prime factors of s?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - (-7700)\/(-245)) + 284\/(-546)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-112*f + 87*f - 149*f + 2) + (-9 - 1 - 2 + (-3 + 1 + 0)*(-3 + 1 + 0))*(3*f - 3*f - 3*f).\nAnswer: -150*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -51151160 and -51151160 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from {t: 11, n: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 9:35 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 475*h + 26586. What is j(-54)?\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 6*u. Let g(r) = 4 - 5*r - 21 + 11*r - 15. Let v be g(5). Let i be f(v). Solve i = 5*x + 26 - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(-23\/6)*(u**(-2\/35))**(4\/15))**9 assuming u is positive.\nAnswer: u**(12051\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -9)*(-2 + 3). Suppose -p*f - b = 2*f + 463, -2*f + 2*b = 178. Let t = 154 + f. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -116. Suppose -2720 = 23*c - 91*c. Calculate the highest common factor of y and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 12. Suppose 21 = -w - 5*x, -1 = -3*w + k*x + 8. Let v(g) = 2*g - 1. Let o(p) = -9*p + 2. Let f(d) = o(d) + 3*v(d). Give f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 6*u - 22. Let z be s(-9). Suppose -w + 11 = 2*q, -3*q + 2*w + 4 = z. Solve o + 1 = 2*o + g, q*o - 15 = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/147 and -43\/20860413.\nAnswer: 146022891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1758 + 2602. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.24, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-7 + 564\/60) + 2\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j + 28. Let y(m) = -8*m - 35. Let v(l) = 5*s(l) + 4*y(l). Let x(g) = -g**2 + 2*g. Give x(v(c)).\nAnswer: -9*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 5*w - 27. Calculate the highest common factor of w and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/4)\/(-1 - 1). Suppose k = -0*p + 6*p - 834. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2236957 nanograms?\nAnswer: 0.0002236957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1199, -4, 2 in decreasing order.\nAnswer: 1199, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 8 in ascending order.\nAnswer: -10, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 101*n - 103*n. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62713 is divided by 2608?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3. Let o(t) = t + 5. Suppose 8 + 2 = -2*b. Let x(n) = b*p(n) - 3*o(n). Let j(l) = 2*l**2. What is x(j(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -155. Let a = -61 - f. Solve -6 = 5*b + 2*h + 2, -a*b + 4*h + 16 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.918 take away 563451812?\nAnswer: -563451779.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.1, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 90 = 18*d. Suppose 3*f + d = 3*y + 292, 4*f + 4*y = 368. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6639286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.5 less than -0.5?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 459 = -420. Suppose h = 4*g - 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279507143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.081 - 3.081. What is the closest to -0.12 in -2, 2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3) + -2 + 4874. Let s be (18\/3)\/(18\/9). Suppose s*h = f + l, -h - 5*f + 3 + 1600 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 + 384 + 21*a + 383 + 384 - 1536.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*(-1 + -2). Suppose -a = -2*a. Suppose a = r + u*r - 1920. Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -13. Let f be 4*(2 + 3\/(-2)). Let v = h + f. Solve v = 5*n - 1 + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u - 373. Let m be q(-20). Sort m, 1, -5 in decreasing order.\nAnswer: 1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 5*v - 210 + 2*v + 201 as d + k*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9a5388 (base 11) to base 13\nAnswer: 441815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14*i**2 + 160*i - 491. Give j(3).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268 - 404. Let k = g - -136.069. Let y = 0.007 - k. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -275?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.291507 + -28.291732. Let b = r - -27. What is b rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {d: 1, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6395 + -6392. Solve 3*j + 5*t + 22 = 0, r*j + t = 4*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(96\/(-9))\/(-2). Let z = -1759 + 1759.1. Which is the nearest to z? (a) x (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 251*i**2 + 205. Let w(j) = j**3 - 130*j**2 + j + 103. Let b(n) = 6*a(n) - 11*w(n). What is the second derivative of b(t) wrt t?\nAnswer: 42*t - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 divided by -16897?\nAnswer: -710\/16897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*v - 47 - 5 - 41*v + 2*v**2 + 52 to n + m*v**2 + y*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7947 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: Let j be 3 + 1 + (4 - 3). Suppose 0 = -5*v + 15, 3*d = v + 102 + 48. Suppose 0*w = w + j, -4*z - 5*w = -d. Calculate the remainder when 73 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 78.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h**2)*(-5 + 5 - 1) + 542*h - 3*h**2 + 10 - 542*h.\nAnswer: -h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/189*140\/(-55)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259484.\nAnswer: 2, 64871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.17?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3200) - sqrt(3200)*1)\/(sqrt(144)*2*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1158 divided by -5\nAnswer: 1158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (29 - (73 + -7))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 214157449 and 30.6.\nAnswer: 214157479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k - 3*g - 9 = 0, 0 = 2*k + 2*g + 6. Solve 4*c + 3 = -4*y + c, k = 2*c - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 + 613. Let a = j - 133. Suppose -4*d + a = d. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4466\/957*(-480)\/70\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/15*5\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 0.0479474539473?\nAnswer: 0.4479474539473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 - y - 1. Let a(x) = 0*x**3 - 3*x**3 + 6*x + 3 - 3*x - 2*x**3 + 3*x**2. Determine a(t) + 3*q(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 184. Suppose -4*j + a = -60. Solve 5*h + 4*u - j = 0, -5*h + 3 = -5*u - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9614*2*143135\/(-20). Let n be 1\/3 - r\/(-33). Round n to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6.9, -17881, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = -174*n + 175*n, 6 = -n + 4*j. Solve 11*g - 6*g = -2*x + 17, n*g - 13 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -34*p**2 + 679*p + 35. What is y(20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/((-22)\/1100).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 1881 - 15831. Let p be (-96)\/h - (-2)\/(-15). Which is smaller: p or 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 22*g\/5 - 36\/5.\nAnswer: -2*(g - 9)*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3*r**2 - 7*g**3*r - 5*g**2*r**2 + g*r**2 - 134*g wrt g.\nAnswer: 30*g*r**2 - 42*g*r - 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 6*l - 12 = -i, -3*l = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 30823.002 to 0 dps.\nAnswer: 30823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -136870 (c) -0.1 (d) -3\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*k**4 + 3388 wrt k.\nAnswer: 2380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -33*r - 62. Let a(w) = 16*w + 35. Let l(t) = -7*a(t) - 4*q(t). Let j(n) = -21*n - 2. What is 3*j(h) + 2*l(h)?\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - p + 4*p - 225. Suppose 25*z = 30*z - 4*g + 8, -z + 2*g = 4. Let m be y(z). What is m rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jppjspsjjp. What is prob of sequence pps?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3\/19))\/((m\/m**(-3\/14))\/m)*(m**4\/m)**(1\/83))**(-7\/4) assuming m is positive.\nAnswer: m**(-14659\/12616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {d: 3, p: 5, c: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4108874892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6506*o**5 + 3*o + 1230 wrt o?\nAnswer: -130120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -26*l - 45*l + 71*l - 189*l**3. Let t(g) = 10*g**3. Calculate -3*m(x) - 56*t(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2537*v - 2. Let f(w) = -1692*w + 2. Let c(y) = 8*f(y) + 5*l(y). Does 37 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5730 = s. Suppose -41*n + 36*n + s = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -12*r**2 + 236*r\/3 + 112\/3 = 0.\nAnswer: -4\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/7087797 and 51\/4.\nAnswer: 28351188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*x - 5, -8*b + 4*b = 5*x + 13. Let a be (-5)\/b*12\/15. Solve -2 = 4*j + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4180*x**2 - 41905*x + 31. Give u(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-6))*a*a\/(a*a\/(a*a\/a**(1\/8)))*a\/(a*a**3*a)*a*a\/(a\/(a**(-2\/9)\/a))*a)**(1\/29) assuming a is positive.\nAnswer: a**(-529\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 6. Let k be (-27)\/6 + 2\/4. Let u be w(k). Suppose u*v = -4*i + 16, -4*v + 14 = -2*v + 2*i. Calculate the greatest common factor of 42 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -454352?\nAnswer: -454345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*k - 247*k + 120*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6)\/(sqrt(3)*-3 - sqrt(3)) - sqrt(2) - sqrt(18)\/(2*sqrt(9)) - (2*(sqrt(72) + 1) + -4)) + 5.\nAnswer: -55*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 276*l + 24. Let p be u(3). Suppose 2*k = 10, 3*y + 3*k - p + 66 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 5\/((-10)\/4). Suppose f - 3*t - 1 = 0, 49 = 4*f + 2*t + t. Let u be (-30)\/25*f\/(-3). Sort u, -3, r in ascending order.\nAnswer: -3, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -3. Let c(j) = -j**2 - 2*j + 3. Let h be c(-3). Solve h = 3*u - 0 + z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23313 + 23317. Let l(d) = -5*d + 8. Let k(u) = 11*u - 17. Determine a*k(h) + 9*l(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*x - 11 = -3*b, -5*b = -4*x + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, 36\/1240693 in descending order.\nAnswer: 36\/1240693, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -0.6, -0.5, -1\/618, 5, 0.5, 2\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(8)\/sqrt(4) + -1 + 3)*1 - (2 + (sqrt(72) - (sqrt(72) + -1)) - (-3 + (sqrt(72) - (sqrt(72) - 1*sqrt(72)) - sqrt(72)))))*-6)**2.\nAnswer: -1440*sqrt(2) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {m: 12, x: 1, j: 4, g: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1107.24*-340.\nAnswer: -376461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) -3 (b) 2\/53 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*l = -49*l - 5586. Solve 24*b - l = 5*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7979629.\nAnswer: 7, 467, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 247.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -15*m. Suppose 0 = 5*d - 3*b - 11 - 21, -4*d + 5*b + 36 = m. Solve 3*f + d = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118.34 - -117.34. What is the biggest value in 312, -0.3, i?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 0, -3*t + 2*j - 61 = -2*j. Let l = -14 - t. Let v be (-75)\/100 + l\/(-4). Let y(z) = z**2 + 8*z - 5. What is y(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = b. Let a be -4 + 15*b\/(-3). Let y(n) = n**3 - 5*n**2. What is the units digit of y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/32*(-378)\/(-81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/5 - 57\/10. Which is the third smallest value? (a) 6 (b) 0 (c) 0.7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4 = 3*p, 49*p - 54*p + 11 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98797806 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - -180. What is the remainder when 7 is divided by (7 + -2 - 0)*o\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01965 + 162.03915. Let s = u + -162. What is s rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/20 - (-24)\/(-16)) + 112785\/(-5475)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3)*-3*-4)**2.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n**2 - 17*n - 67. Suppose -w = -4*w + 21. Calculate the smallest common multiple of g(-2) and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1440.\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 2.1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 189098719414\nAnswer: -189098719418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 437*a**2 - 4723*a**2 - 3576*a**2 + (-a**2 + 2*a**2 + a**2)*(2 - 1 - 2).\nAnswer: -7864*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 5*n - 28, -14 = -5*k - n. Let z(u) = 0*u**2 + 2*u**2 + 4*u**k. Let j(g) be the third derivative of -g**5\/30 - 4*g**2. What is z(j(d))?\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 501*b + 344*b + 217*b.\nAnswer: 1057*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 5424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8)*(13321\/5082 - 4\/(-88)). Solve v - 13 = 2*t, 0 = 139*v - 137*v + 3*t + f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:23 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:21 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/28964 and 4\/39.\nAnswer: 86892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -167?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7, -223\/4, -627.\nAnswer: -627, -223\/4, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*-1)\/(sqrt(72)*-6) + sqrt(156)\/(sqrt(972) + -1*sqrt(972) + sqrt(972)) + -1 + (1 + sqrt(52) - sqrt(13)).\nAnswer: 11*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*y - 249, 1161 = 5*l - 6*y + 7*y. What is the lowest common multiple of 189 and l?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 461338 and 43193.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3229, -3094, -2959, -2824, -2689, -2554?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 + 9 = y, 2*y + 4*j = -6. Let i = -1 + y. Suppose -i*h + 2*u + 28 = 0, -3*u + 2*u - 25 = -2*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1103, -2219, -3335, -4451?\n\"Answer: -1116*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 19 = 5*z, 0*t - 13 = -t + 3*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708185 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(143\/(-11)))\/(3*2\/36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9457768*0.02.\nAnswer: 189155.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*n - n = -4, 2*t - 8 = n. Suppose 0 = 2*i + t, 4*a - 94 + 18 = 2*i. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/20))**(-27))**(-5\/17) assuming n is positive.\nAnswer: n**(-27\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2*v + v - 8)*(5*v**2 - 2*v**2 + 0*v**2).\nAnswer: 9*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/(t**5\/t))**(-39) assuming t is positive.\nAnswer: t**429","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3973.304mg?\nAnswer: 0.000003973304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-4)\/y*y*y*y**(1\/5) assuming y is positive.\nAnswer: y**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*k**3 - 68*k**3 + 38 + 135*k**3.\nAnswer: 2*k**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 1342\/21. Let f = -0.7 - -1.2. Let m = 6 + -5. Which is the second smallest value? (a) l (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 65 - (5 - 10)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16c - 49?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899696 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -109. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**5\/20 - r**4\/6 + r**3\/6 - r**2 + r. Let x be (6\/(-1 + (-3)\/6))\/1. Determine k(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-2)\/(-22) - (-330)\/363) + (9 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87253, -87249, -87245, -87241, -87237?\nAnswer: -87233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9661391 times 0.4?\nAnswer: 3864556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -193.29 and -4?\nAnswer: 773.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 738 or 739?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65296 is divided by 742.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + q = 8 - 12, 5*u = -q - 4. Let n = 6.27 - 0.27. Let b = n + -6.2. What is the nearest to b in u, 1\/3, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -72\/91, 17032, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, 80, 291, 584, 959, 1416, 1955?\n\"Answer: 41*k**2 + 6*k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4 - 1 - 4 + d. Let s be p(4). Suppose 3*a = -3 + 6, s*n - 13 = 2*a. Solve 2*y = y - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -0*u - 17*u. Find q, given that -2*q**3 + 107*q**u - 100*q**2 + q**5 - 7*q**4 + q**3 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 30. Let t = i + -4.5. What is the third smallest value in -4, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*f - 0*f - 28, 0 = 3*q + 12. Solve -f*o + 5 + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - (-5115)\/(-110))*(-2)\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7881552 by -98.\nAnswer: -80424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 3*o + 4. Let h(j) = j**3 + 4*j**2 + 2*j + 4. Let u = 4 + -7. Let t be h(u). Suppose -c - t = -q, 0 = 5*q - 3*q + 5*c + 14. Calculate k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*w + 174 - 1266, -1365 = 5*f + 2*w. Let l = -267 - f. Let j(i) = -3*i - 10. Determine j(l).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4202.783118 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*d + 192 = 0, -6*d + 3*d - 297 = -3*w. What is the lowest common multiple of w and 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 - 1. Let q(o) = 5*o**3 - 33*o**2 - 66. Let c(z) = 4*m(z) - q(z). List the prime factors of c(29).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(320) + sqrt(320) + 1*(sqrt(320)*2 - sqrt(320)) - (1 + sqrt(320) + 4)) + 1 + 3)**2 + 3.\nAnswer: -3360*sqrt(5) + 32444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 13*h - 7. Let y be j(-10). Suppose -2*n - n + 11 = t, 3*t - y = n. Solve t*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1071 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3411, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 229343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**3 + 6*b**3 + b**3 - 16*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -143, -329, -609, -995, -1499, -2133?\nAnswer: -2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253732051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -623155329 smaller than -623155330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 572.1 times 26.58\nAnswer: 15206.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((20850\/20)\/139)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 + 1424*s + 506944 = 0.\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 431 - 108. Suppose m + 4*n = o + 113, 2*n = -6. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**0\/r)\/r)\/r)**(-1\/19)*(r\/(r*r**(-1\/9)))\/r**(-3\/7) assuming r is positive.\nAnswer: r**(772\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2997 + 113 + ((-32)\/(-2))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75671 - -127018. List the prime factors of a.\nAnswer: 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571821507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by 2?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*((-175)\/7)\/(-450).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 135. Suppose -17 = z - l. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543417241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 24 = -0*v. Suppose -g - i + 4 = 0, -g + 3*i = -0*g + 4. Calculate the smallest common multiple of v and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186.2 - -186.19969042. Round c to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**3 - 1\/120*a**6 - 11*a**2 + 0*a**4 + 0 + 0*a + 1\/504*a**8 + 0*a**5 + 1\/126*a**7. Factor g(f).\nAnswer: f**3*(f + 3)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -599, -844, -1179, -1610?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 1260 = -10*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 289.\nAnswer: -5\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/6*6\/5. Solve -17 = n + w*v, -v = -0*n + n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24 and 59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.73 take away -12.2?\nAnswer: -24.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let n(x) = -10*x**2 - 90*x. Let y(z) = -180*a(z) - 2*n(z). Let m(g) = -13*g. Give m(y(l)).\nAnswer: -260*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r + 26. Let w be (-1)\/(r\/6 + (-2)\/(-1)). Factor 6\/7 + 12\/7*b**2 - 15\/7*b - w*b**3.\nAnswer: -3*(b - 2)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*p - 9*p + 5458, 0 = 2*m - 4*p - 5422. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a factor of 10175595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 4*b - 3. Let i(k) = -k**3 + 7*k**2 - 8*k + 9. Let p be i(6). Calculate the remainder when 34 is divided by f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let f(z) = -z**2 - z + 1. Let j(w) = a(w) - f(w). Let y(q) = -4*q**2. Determine -j(k) + y(k).\nAnswer: -5*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 125, 274, 481, 746, 1069?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -53, -4 in decreasing order.\nAnswer: -6\/5, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + 3\/(-12). Let s = -1825\/9 + 203. Let r = -10 - -11. Which is the closest to r? (a) s (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - g - 20 = 0, r - 6510*g = -6412*g + 1960 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991 = 9*r - 4022. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (798\/(-102) - -8) + (-5908)\/(-238)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202437 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 27.93. Let u = -27 + x. Let m be (-1 - (-12)\/10)*-1. Which is the third smallest value? (a) m (b) -0.7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155910302 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(4410\/(-203)) + 4\/(-36).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t - 129. Calculate u(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2541*f**5 + 1255665114*f**4 + 2250407133*f**3 + 1231941396*f**2 + 254986596*f + 17789760 = 0. Calculate f.\nAnswer: -494160, -1, -3\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/465*36\/(-16).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22181 + -9160762\/413. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 26*b + 2. Let r be o(-13). Is r at least as big as 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let c be (9\/12)\/(-1 - (-10)\/8). Suppose c*d + 2 = 8. Solve -4*v + d*t + t = -22, 5*v + y*t = 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 4095 = -195. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 9*j - 16. Let k be g(5). Let f = k - 19. Suppose 37 = r + 5*s, r + 2*s = -0*r + 22. What is the remainder when f is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054602667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z + 72*z + 245994 = 153*z. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.633 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.28236896 to 2 dps.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/2732 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 12*n + 35. Let g be t(8). Find the second derivative of 72*h**2 - 19*h - 72*h**2 - 8*h**g - h wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 4*z**4 - 1252*z**3 - 4*z**2 + 98592*z - 97344 = 0.\nAnswer: -13, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.016, -3\/2, -46851, 0.2 in descending order.\nAnswer: 0.2, -0.016, -3\/2, -46851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 70 + 2. Let n = -19 - q. Suppose 5*c + 10 = n. Is -15\/7 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:40 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8276, 67174, 227040, 538358, 1051612, 1817286, 2885864, 4307830?\nAnswer: 6133668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/3 + -2\/3. Let s = -1345679\/20 + 67284. Which is the third biggest value? (a) w (b) s (c) 0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 46. Let m = -2483 - -2492. Determine t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 30 = 2*a. Let k = 15 - 10. Calculate the highest common factor of k and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccwwcwwccccwwcwc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8*2*-8. Let n = f - -4. Suppose 0 = 4*s - 24 - n. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*a - 28, -2*b + 4*a - 40 = -4*b. Let t be 10\/(-15)*b + 10. Let o(h) = -5 + 3 + 4*h**2 - h - h**3 - h. Determine o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/(-99) - (-14)\/(-6)*16\/(-28). Let u = 218 - 1530\/7. What is the closest to 4 in u, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598 and 317837?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132011043 - -10?\nAnswer: 132011103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 744611 (base 13) to base 16\nAnswer: 298d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-144))\/(1*(-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 + 200. Let o = m - 24. Calculate the smallest common multiple of o and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1134300 (base 5) to base 15\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-84668)\/(-20) + (-39)\/13)*(-15)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5)*(84*m + 46*m + 6*m).\nAnswer: 680*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:41 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -199280 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12928)\/29088 - ((-32)\/10)\/(9\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 2*a - 2*a)*(42 - 44 - 86)*(0 + 1 + 1 + (2 - 2 - 2)*(2 + 2 - 2))*(2*a + 2 - 1 - 3) as q + r*a + y*a**2 and give y.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.938714 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2701531\/69127182 + -2\/142237. What is the common denominator of t and -11\/3?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*q**3)*(0 - 1 - 1)*(4*q - 2*q + 0*q)*(1 - 3 + 1).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*d + i, -3*d - 29*i - 1 = -27*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -9*t**5\/20 - 5*t**4\/12 + 17*t**3\/6 + 5*t**2\/2 + 1115*t. Let h(y) = -14*y**3 - 8*y**2 + 25*y + 8. Give -5*h(r) + 8*p(r).\nAnswer: -2*r**3 + 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggtggggggggg?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**5\/24 - 7*j**4\/8 - 26*j**3\/3 - 16. Let t(g) be the third derivative of y(g). Differentiate t(u) with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2348766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3 + 1. Let u(y) = -5*y**2 - 2*y + 4. Let g(a) = -a + 2. Let c(m) = -2*g(m) + u(m). What is c(d(b))?\nAnswer: -45*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 55 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 = -23. Suppose -3*h - 57 = -v*n, -2*n + 55 = 4*h - 13. Let g be (2\/(-4))\/(n\/(-16)). Which is the second biggest value? (a) g (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 68 = -32. Let u(s) = s**2 + 3*s + 4. Let p be u(3). Suppose -m*w + p*w = -146. What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 10*d**7\/7 - 4*d**3 + 6. Find the third derivative of z(a) wrt a.\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m**(-4\/3))**(9\/4) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369012 - -332110871\/900. Calculate the common denominator of 27\/4300 and y.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2 - sqrt(68)) + -5 - (-1 + sqrt(68) + -3) - (((sqrt(68) + -1)*1 - sqrt(68)) + sqrt(68))*1)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4502, 3443, 2384, 1325, 266?\n\"Answer: -1059*l + 5561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 40. Is z(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 6*y**2 + 2*y - 21. Let q be w(-4). Solve -28 = 4*l + q*d + 2*d, 4*l = 2*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238 + 530. Is (5 - 8\/4) + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 1:32 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m + 19. Suppose 4*a + 12 - 40 = 0. Let u(f) = -7*f + 13. Let d(b) = a*u(b) - 5*o(b). Suppose h = 6*h - 10. Give d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = 4*q - t, -5*q + 13 = 4*t. Suppose 2*m = 9*i - 4*i + q, -5*m = -3*i - 50. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4570.\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8 + 4. What is the third derivative of 12*d**5 + d**2 - 8*d**5 + d**5 + 6*d**l wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - 4.799943. What is i rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*o + 20, -3*o - 8 = -2*x + o. Solve 3*t + 0*c = c, 3*t - x*c = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 18*d - 13*d. Solve -d*r = 1 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(27))\/sqrt(9) + -3)*-5.\nAnswer: 15 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - (4 - (-1 + 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0*a**2 + 1\/10*a**6 + 0*a**3 + 0*a**5 + 0 + 1\/3*a**4 - 4*a. What is the third derivative of l(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394026556.\nAnswer: 2, 7, 11, 1279307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 - 3 = 0. Let m(o) = o**3 - 17*o**2 - 20*o + 29. Let h be m(18). Put 0, y, h in decreasing order.\nAnswer: 0, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36))\/((-5)\/((-30)\/3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f = -33*f - 5*s - 23, 0 = 5*f + 5*s + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/5 - 92*s**4\/5 - 613*s**3\/5 - 310*s**2 - 1708*s\/5 - 136.\nAnswer: -(s + 1)*(s + 2)**3*(s + 85)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) + (sqrt(200) - -2*sqrt(200)))**2 + (2*sqrt(288)*-6)**2.\nAnswer: 35072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:07 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -683*h + 686. Give p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221519 (base 10) to base 5.\nAnswer: -24042034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234948551207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-14 + 2)) + (-10 - -8) + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (1*sqrt(2448))**2)*-4 - ((sqrt(2448)*3 + sqrt(2448))**2 + 1)) + 4.\nAnswer: -29373 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whqq when four letters picked without replacement from hhhhhhhhhhqhqw?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*h**5*k + 2*h**4 + 5*h**2*k - 45*h*k - 36*k wrt h?\nAnswer: 2220*h**3*k + 24*h**2 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101817 - -101870.929. Let d = 0.029 - o. Round d to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18564 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2014 and 1?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*x**2 - 212*x**2 + 8*x**2 + 36*x**2 - 109*x**2 in the form f*x**2 + j*x + m and give f.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*f**4*i**3 - 2*f**4*i - 2*f*i**3 + 2*f - 27*i**3 wrt f?\nAnswer: -1068*f**2*i**3 - 24*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16059 is divided by 556?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*d, -5*z - 3 = -4*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -2 - 28\/(-7))*1. Solve j = -1 - b, -k + 1 = -2*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 4 - (1 - 2) - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -38.54. Let j = 0.04 - t. Let k = 37 + -223\/6. Which is the closest to 1? (a) k (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) + (-187)\/(-5). Let y(o) = o**2 + 12*o + 2. Let d be y(-12). Suppose -2*k = 3*f + 10 - u, -48 = -d*k + 4*f. 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: Solve -56*r + 22 = -83*r + 184 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - w + 2. Let k(r) = -49*r**3 + 21*r**2 - 28*r + 14. What is -k(x) + 7*n(x)?\nAnswer: 49*x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4576361 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 5034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.014 - 0.01308. Round g to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 90 - 79 + z - z**3 + 2*z. Let u(t) = 31*t**3 + t**2 - 2*t + 1. Calculate the remainder when u(1) is divided by a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 divided by -584?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*(-6726)\/(-19152)*(-21)\/9.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2193 = -5*g - 518, 5*g = 3*t + 999. Let l be t\/(-6) - (-14)\/21. Suppose 2*x = -x - 4*q + l, -2*q + 19 = x. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2. Let b(a) be the first derivative of 21*a**2 - 847. Give d(b(w)).\nAnswer: -10584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r - 27. Let j be y(-9). Let z be 20 + (j - 4) + 7. Put -5, z, 3 in descending order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333.37 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-33 + (44 - 58)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Suppose 3*o = 3*r - 486, -d = o - 5*o. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 616 - 616. Factor -6\/7*b**2 + 0*b + t - 3\/7*b**3.\nAnswer: -3*b**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 119 = -10*j. Solve -11 = -4*w - x, 4*w + 0*x - j = -3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2378.296 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135313 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 2223*n**3 + 8928*n**2 + 8940*n.\nAnswer: -3*n*(n - 745)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(84)*-4 - sqrt(84)*2*2))\/(sqrt(972) + -6*sqrt(972) + sqrt(972) - sqrt(12) - 5*sqrt(1728)).\nAnswer: -32*sqrt(7)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -1071 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 750*w**2 - 27360*w + 57760.\nAnswer: -5*(w - 2)*(w + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.55 + 0.94. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 2*a + a - 33*a**3 + 3*a**2 - 5*a in the form h*a**2 + r*a + p + c*a**3 and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (6 - 1) + (4 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19886.99 * -0.158.\nAnswer: 3142.14442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 3. Let y be k(-1). Suppose y*d = -4*a + 636, 3*a = 3*d + 132 + 339. What are the prime factors of a?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96956474 is divided by 3399?\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-13123*x + 25805*x - 13064*x)*(-3*x + 2*x + 0*x).\nAnswer: 1146*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/28171328 and -61\/72.\nAnswer: 253541952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 - 2\/((-24)\/(-26))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 4*h + 3. Let c(f) = -f**2 + 5*f - 2. Let s be (2 + 1 + -5)*-1. Let d be c(s). Let a be u(d). Solve a*r = -r - y - 16, -4 = y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 3*x + (1 - 1 - 1)*(0*x + 5*x - 6*x))*(10 - 10 - 28*x).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2342*m - 7259*m - 1361*m + 98*m.\nAnswer: -10864*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*c + 18. Sort 2, 96, c in decreasing order.\nAnswer: 96, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -52. Suppose a = 4*s + k, 0 = -2*a - 4*s - 1 + 9. Let c be 55\/15 + (-4)\/a. Calculate the greatest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 8*z**2 - 7*z + 7. What is t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8146.07 - -8146. Let x = -3 - -1. Let o(h) = -h - 3. Let s be o(x). Is c bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -82. What is the highest common divisor of 35 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {o: 6, s: 1, k: 7, t: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - n - 7. Let p(u) = -6*u**2 - u - 6. Let r(k) = 5*l(k) - 6*p(k). Let h = 5 + -1. Let o(v) = -v**2 - 4*v - 4. Determine h*r(z) + o(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -17*n**4\/24 - 66*n**2. Let t(y) = 2*y**2. What is q(t(o))?\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75516 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - c = -4*c - 1, 4*w - 11 = c. Suppose w*m + 1814 = 4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s**3 + 51*s**3 + 54*s**3 - 208*s**3 + 66*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 divided by 1?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, -2 in descending order.\nAnswer: 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -44*s + 32. Let y(d) = 4. Let f(r) = -5*k(r) + 40*y(r). Let c(l) = -l**2. Calculate c(f(z)).\nAnswer: -48400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * 0.4\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 2\/7 (c) -137 (d) -0.3 (e) 3\/8 (f) -2\/5 (g) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 + 1) - 0. Let v(j) be the third derivative of j**6\/30 + j**5\/60 + j**4\/24 - j**3\/6 - j**2. Calculate v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -929 at least as big as -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 873 - 877. Let j be -1 + -1 - (-42)\/(-3). Is f\/j + 3494\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*h + 359*h - 66*h + 327*h - 183*h as o*h + a and give o.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 0*i + 3*a = 3*i - 6, 0 = g*i - 3*a - 10. Suppose -i*z = -2*c - 2*z + 22, -4*c = 2*z - 74. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*r - 41938 = 57570 - 36056 for r.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24440 + -24418. Solve -18*r + u*r = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 4*r - 323 = -9*j, 2*j - 640 = 5*r. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {v: 1, n: 5, c: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/8)*u**(6\/11))**(2\/55)*(u**(-1))**(1\/8)\/(((u\/(u\/u**(-1\/4)))\/u)\/u*u)**(-2\/89) assuming u is positive.\nAnswer: u**(-59359\/430760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 61246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 376457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 14*j**2 - j - 12. Let q be r(-14). Solve 15 = -h - q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + (sqrt(1088) + sqrt(1088) + 0 + 0 - sqrt(1088)) - sqrt(1088)) + sqrt(1088)*-1 + 4 + (3 + sqrt(1088) - sqrt(1088))*-2*-3)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*o - 547 = 0, -o + 12 = 3*o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*i - 109, -4*z - 86 = -i - i. Let j be 1*((-6)\/z + 0). What is the closest to 0.3 in j, -1\/4, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68493 is divided by 157?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -204462 (base 8) in base 7?\nAnswer: -401634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-210) + 5\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q**3 + 0*q)*(-6 + 453*q**2 - 460*q**2 + 4*q - 6*q + (-4*q + q + q)*(-2*q + 3*q - 3*q)).\nAnswer: 3*q**5 + 2*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.389 + -0.455. Let m = -1.362 + -0.044. Let w = a - m. What is w rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 24*x**2 + 43*x - 4. Let q be f(-22). Let b(p) = -p**3 + 5*p**2 + 7*p + 7. Let n be b(6). Solve -2*y = -2*o - q, 5*y - n = -o - 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:37 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 greater than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/63? (a) 2\/25 (b) 2 (c) -19 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(150)\/(sqrt(3) - -2*sqrt(3)))\/(sqrt(1440) - -1*-2*sqrt(1440)))**2.\nAnswer: 125\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:36 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2007 (base 10) to base 5.\nAnswer: -31012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 13. Let i be 9 + (-3 + -1 - -2). Let s be q(i). Let p = 197\/24 - 25\/3. Is p < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -27. Suppose -9*t = -5*t - 20. Suppose t*k - 598 + 133 = w. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 4*w**2 + w**2 - 75*w + 31*w + 4 + w**3 - 20*w as p*w**3 + z + y*w**4 + g*w**2 + q*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 538438639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-6)*(-3)\/2. Suppose -x - 3*r + 38 = 0, -w*r + 1 = -14. What is the remainder when x is divided by 5\/(3 - (-8)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 149700492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (23\/77)\/(71 - 58) and -28\/143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 1, g: 2, s: 3}. Give prob of picking 1 r and 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/44)\/(7\/(-35)). Let k = -13\/33 + h. Which is the nearest to 1? (a) -0.1 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, l: 8, o: 1, s: 1, f: 2, w: 2}. Give prob of picking 1 s, 2 a, and 1 w.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 5 + 7 + 2*d**2 + 5*d**2 to m*d**2 + w*d + n and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*a**2 - 266*a**2 + 43*a**2 + 70*a**2 - 123*a**2 - 157*a**2.\nAnswer: -688*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 8, m: 2, w: 2, i: 1}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 77*n**2 - 971*n - 2296. Give v(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 352*t + 451*t - 271*t - 5 + t**2 - 2*t**2.\nAnswer: -t**2 - 172*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -187080 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -q + 2*m - 4, 2*q + 8 = 2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let t be b(-13). Let n = t + 12. Is n greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 1 + 0 - x + 2*x**2 - 4. Let i be q(-6). Suppose -3*k = -5*s - 64, -2*k - i = -4*k - 3*s. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 6*r - 29*r.\nAnswer: -35*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.10037 - -0.30037. Let p be -1 - (14\/(-6) - -1). Which is the nearest to s? (a) p (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, -3, 5.\nAnswer: -14, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - x. Let w be 0 - -3 - 16\/8. Let q(k) = -3*k**3 + 6*k**2 - k. Let i(s) = w*q(s) + 6*j(s). What is the second derivative of i(l) wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nohvpddp. What is prob of picking 2 o, 1 h, and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1713236375 = -0*t + 25*t. Let u = t - 15829455. Round u to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-30))\/((-1)\/15). Suppose 3*m = 5*d + l, -4*m = 5*d - 3*m - 4. Let r be (-2)\/(-5)*(-5)\/(-1). Solve d*q - r = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from julrifr. What is prob of sequence ur?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 9*j**2 + 7*j - 8. Suppose -4*c - 4*p = 32, -2*c + 12 = -5*p + 28. Calculate t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -2\/7 (c) -1\/2 (d) 2 (e) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1780, -2101, -2472, -2887, -3340, -3825?\n\"Answer: w**3 - 31*w**2 - 235*w - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = -2*g. Suppose g = 6*v - 54 + 24. Is 6 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395966275 and 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 207*h**2\/5 + 14283*h\/5 - 328509\/5.\nAnswer: (h - 69)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let j(v) = -3*v - 9. Suppose -14*d = 58*d - 72. What is d*j(f) - 9*u(f)?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s - 14 = 2*h, 5*s = 4*h - 38. Let j = -4 - s. Suppose -j*z = -z. Solve i = -5*v - 2 - z, 3*i = -4*v - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2\/g)*g*(g**(-5)*g*g)\/g*g*g*(g*(g\/(g**(4\/3)\/g))\/g)\/(g*g**(-3\/8)*g*g))**6)**(-3\/10) assuming g is positive.\nAnswer: g**(213\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58309321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1100) + -5 + -4 + (sqrt(1100) - (4 + -2*sqrt(1100))) + -5*(-1 + sqrt(1100)))*-2*3)**2.\nAnswer: 5760*sqrt(11) + 41904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/3 and 137\/22056.\nAnswer: 22056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + 224999 + -2. Let a = -675001 - m. What is a rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6510544*n**2 - 32572592*n wrt n.\nAnswer: -13021088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*n**3 - b**2*n + 44*b*n*r + b*r - 25*n**5 - 14*n**3*r wrt n?\nAnswer: -18*b**2*n - 500*n**3 - 84*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 3*a**5 + 3*a**5 + 2*a**5 - a**3 + a**3 + (-2 + 2 - a**3)*(-3*a**2 + 3*a**2 - 3*a**2) - 4*a**5 - 20*a**5 - 4*a**5.\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25980708 to the nearest integer?\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -11 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 4.32.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-2) - (-1449)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(720))**2 - sqrt(720)) + sqrt(720).\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, -4, 1 in decreasing order.\nAnswer: 1, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 17. What is the common denominator of ((-1530)\/(-28))\/(-9) - p\/(-1) and 145\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -104. What is the first derivative of 9*m + 17*m + 7*m - 12 - g*m wrt m?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t**4 - t**4 + 4*t**4)*(5 + 0 - 4) + 64*t**4 + 7*t**4 + 12*t**4)*(4*t - 4*t - t) + (-3*t**4 + t**4 + t**4)*(1 - 1 + 2*t).\nAnswer: -87*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 5*(-10)\/25. Let a be ((-40)\/(-75))\/(52\/s). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6540759, -6540763, -6540765, -6540765, -6540763, -6540759, -6540753?\nAnswer: -6540745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhresddsvdrdeevhdsh. What is prob of sequence drvd?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8461 + -8465. Let g(h) = h**3 + h**2 + h + 1. Let m(k) = -k**3 + k**2 + k + 1. Calculate a*m(u) + 4*g(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*n - 10, -n + 26 = -0*b - 4*b. What are the prime factors of (9\/n)\/(1\/14)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a**2 + 11*a**2 - 25*a**2 - 16*a as g*a**2 + t + p*a and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Let r = 4 - h. Let v be (0*r\/(-2))\/(-1). Is 2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 390*x + 388 = 0.\nAnswer: 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a - 727?\nAnswer: -6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 16*o**2 + 7*o - 37. What is m(14)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*n**2*s**2 + 3*n*s**2 - 17*n*s - 2*s**2 wrt n.\nAnswer: -1114*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t - 246630 - 246623 + 739874 - 246620.\nAnswer: 39*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*20*138\/1380?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -251.98. Let u = 0.08 - 3.08. Let k = 4 - 3. What is the closest to 1 in k, d, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.3 + 55. Put -4, j, -2\/11 in decreasing order.\nAnswer: -2\/11, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001247133 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 11*s - s + 7 - 7*s. List the prime factors of b(-3).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 6. Let x be r(-2). Let b(s) = -2*s**2 + s + 1. Let u be b(x). Are -4 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 61*u**2 + 101*u - 42. What is j(-32)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 124138 - 122539 = -5*t, 0 = 5*d - t - 616706. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24424030 (base 6) to base 7\nAnswer: 6432120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1370*w - 198*w**3 - 43*w**3 + 23*w**3 wrt w.\nAnswer: -1308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1935*m**2 + 3694*m**2 + 505*m**2 + 2522*m**2 - 2*m**2 + 0*m + 0*m + (-1 + 1 - m)*(6*m - 3*m - m) in the form k + v*m**2 + u*m and give v.\nAnswer: 4782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((72\/(-162))\/(-2))*3535\/(-315).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((sqrt(1053) - 3*(4 + sqrt(1053)))**2 + 4 + 5 + sqrt(1053) + (2*sqrt(1053))**2 + 4).\nAnswer: 4410*sqrt(13) + 85810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + 1011207.\nAnswer: 1011283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/241 in -6\/11, -2, 1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -8*n. Suppose n = 5*r + 16 - 1. Which is smaller: -8\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -30\/7, -96, -0.5, 3.\nAnswer: -96, -30\/7, -0.5, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzfiyzjq. Give prob of sequence zf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884*p = 68579 - 93194 - 94077 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*z - 7916 = -11146 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-16) - 0) + 97\/(675120\/(-8604))\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -33. Suppose 6*v - w + 4 = 0. Suppose 0 = v*c - c - 188. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191255.54 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 13*f + 15 = 0. Let b be 3 + -6 + f - -16. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2516*b**3\/3 - 10078*b**2\/3 + 12524*b\/3 + 70\/3 = 0.\nAnswer: -5, -7\/1258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 2}. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/2)\/v))**(-1\/8)\/(((v\/((((v\/(v*v**(-2\/15)))\/v)\/v)\/v))\/v)\/(v*v\/(v**(-1\/2)*v))) assuming v is positive.\nAnswer: v**(-403\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 - 12) - (23 - (3 - 2))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 3)*(-22*o**3 + 80*o**3 + 75*o**3) - 4*o**3 + 2*o**3 + 4*o**3 as p*o**3 + l*o + w + d*o**2 and give p.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:52 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101575 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 96 = 0. Let n be 12\/(-9)*2\/((-12)\/(-99)). Let v = n - c. Solve 5*x + v = 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -516315?\nAnswer: 516302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 18*t**2 - 18*t - 29. Determine a(-10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1029 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:43 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -63. Let u = y - -44. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229502643 and 10785?\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4828410000 rounded to the nearest one million?\nAnswer: -4828000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/2 - -6. Find the common denominator of w and -7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14821 + 1541393\/104. Is n equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*t + 39, -2*t + c + 26 = 2*c. Let z be (1 - 2)*(-136 + 1). Suppose z = 5*r + 3*w, -38 = -r - w - t. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + 350\/490. Suppose b + 2*g = 26, -2*b + b + 5*g + 19 = 0. What is the hundreds digit of 4\/(b\/(-255))*(q + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 16*g**2 + 750*g - 4697. Determine y(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*u - 3, 5*s - 5*u + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2362, 4591, 6818, 9043, 11266, 13487?\nAnswer: 15706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 21. Let t(s) be the second derivative of -5*s**4\/12 - 993*s. Calculate u(t(n)).\nAnswer: -25*n**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4 - -3) + 27. Suppose -31*y = -v*y - 10. Let 0*p**y - 4\/3 - 2\/3*p**3 + 2*p = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148431 is divided by 13342?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (30 + -24 - (0 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545628718.\nAnswer: 2, 73, 3737183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 64*y**3 + 276*y**2 - 360*y.\nAnswer: 4*y*(y - 10)*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 6\/7, -227.4 in increasing order.\nAnswer: -227.4, -1, -0.2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 174, 638, 1554, 3072?\n\"Answer: 25*l**3 + l**2 - 16*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28742, -57462, -86160, -114836?\n\"Answer: 11*x**2 - 28753*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Put 0, k, -4 in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f - 1. Let v be p(1). Suppose 0 = b + 3*b + 3*q - v, -q - 1 = -5*b. Solve -7 = -3*z + 4*h, b = h - 2*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(8) - sqrt(96)\/(sqrt(24)\/sqrt(2))) + (sqrt(8)*-2 + sqrt(8))*-2)\/(((1*sqrt(528))\/sqrt(12))\/(sqrt(11) + sqrt(99)\/(sqrt(9)*2))))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 7212851\nAnswer: 114\/7212851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3713, -191, 3 in increasing order.\nAnswer: -3713, -191, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/176*28\/(-35)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 9. Let j be k(6). Put -1, -5, -4, j in descending order.\nAnswer: j, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**6*j**2 + 259*f**6*j + 8*f**2*j**2 + f**2 - 29*f*j**2 wrt f.\nAnswer: 360*f**3*j**2 + 31080*f**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 77, 75, 73, 71, 69, 67?\n\"Answer: -2*l + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.231 - -15.331. Let y = z - 15. What is the biggest value in 1\/2, y, 3\/11, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889*g = 877*g + 336. Sort -5, g, -3.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02580595279 rounded to 6 dps?\nAnswer: -0.025806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)*j\/j**(-1\/3)*(j**1)**(-2\/5) assuming j is positive.\nAnswer: j**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f - 26. Let t be g(12). Let x be (46\/(-69))\/(1\/t + 0). Let n = 96 - x. Which is the closest to -0.2? (a) -2 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 equal to 781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/7)\/(145\/(-116) + (-7)\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19*q - 6. Let j(v) = 38*v + 13. Give 3*j(i) + 7*s(i).\nAnswer: -19*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3 + 414\/36)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163430714?\nAnswer: 2, 4283, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o - 10. Suppose -15 = 3*z, -z - z = -o*a + 37. Solve 4*q = -2*v - 20, 4*v = 1 - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(2 - 2 + o**2) + o**2 + 5*o**2 - 5*o**2 - o**2 - 6*o**2 - 3 + 2 - o**2 + 2*o**2 + o**2 - 41 + 41 + 20*o**2 as x*o**2 + w*o + g and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 3*u. Let o(t) be the third derivative of -t**5\/30 + t**4\/2 - 101*t**2. Let b(j) = -3*o(j) - 12*x(j). Let c(v) = 15*v**2. Determine c(b(r)).\nAnswer: 540*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*y**2 + 0*y - 16\/7.\nAnswer: 4*(y - 2)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110200112 - 11111220?\nAnswer: -10122012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*j - 8, -10*h + 10 = -5*h - 2*j. Factor 1\/6*q - 1\/3*q**3 + 1\/6 - 1\/3*q**h + 1\/6*q**4 + 1\/6*q**5.\nAnswer: (q - 1)**2*(q + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 883 + -16a6?\nAnswer: -b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*d + 3879 - 57284 = -366*d - 4861 for d.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 23*z + 17. Let t be a(-11). Let o(p) = -2*p**2 + 10*p + 18. Calculate the smallest common multiple of o(t) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f + 5. Let a(y) = -16*y - 5. Let l(u) = 5*a(u) + 4*h(u). Let x(b) = -b - 1. Let v(t) = l(t) - 4*x(t). What is v(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196910468 to the power of 1\/2, to the nearest integer?\nAnswer: 14032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5930.965008 to 1 dp.\nAnswer: -5931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 27*d**2 + 73*d - 21. Let g be p(24). Solve -g*i + 20 = i - 3*n, -5*i + 2*n + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(5*sqrt(21)\/sqrt(3)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9470053 + 22*n**3 + 9470053.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30962740 divided by 4\nAnswer: -7740685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 0.1, -73?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - c3?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 125*r + 1. Let q be h(1). Let s(c) = 2*c**3 + 45*c**2 + 22*c + 42. Let j be s(-22). Calculate the greatest common factor of j and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13617517489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 6:26 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmvvvvimvvvmm. Give prob of sequence vvm.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -84. Suppose -4*p + 4 = -3*n, 3*p + 3*n - 1 = 2. Solve 4*a - p = -3*c + v, 3*c - 4 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((17 - 32) + (10 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -u + 6*u + 57, 3*u = 3*t - 42. Suppose -2*f + 406 = 5*f. Calculate the remainder when f is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 21 = 8*z - 5*w, -3*w = -4*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92\/11*v**2 - 2\/11*v**3 + 0 + 0*v = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-40) - 65\/(-25). Suppose -c*n + 14 = -4. Solve 13 - n = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6901288010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449946*v**2 - 3 + 1 - 449942*v**2 + 3.\nAnswer: 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/(2\/10). Let r = v + -4. What is the units digit of 1\/2 + (-3)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 3. Let h be p(7). Suppose 2*a - 11 = -3*a + v, -h*a - 4*v = -4. Suppose -2*j - a*f + 12 = 0, -5*j + 14 + 14 = 3*f. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90920 is divided by 22300.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 23120220?\nAnswer: -23120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214536\/392 + 2\/(-7)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*n + (1 - 8 + 9)*(317 + 26*n - 317) in the form a + h*n and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2665182 and 396942?\nAnswer: 18656274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 705\/8 - 88. Calculate the common denominator of -101\/6 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 11. Let x be s(13). Let a be (3\/(-9) + (-225)\/54)*x. What is the highest common factor of a and 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998*n**3 + 1231*n**3 - 680129 + 680128.\nAnswer: 233*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2640*((114\/(-35) - -3) + (-57)\/399). What is the greatest common factor of g and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/60 - 3*m**4\/8 + 2*m**3\/3 - 2*m**2. Let j be z(9). Let w(y) = 3*y + j - 2*y - 2*y. Determine w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -53\/3. Let n be (2\/12)\/((-6)\/(-8)). Which is the closest to h? (a) -0.4 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, n: 5}. What is prob of sequence nnnn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 46*z**2 - 48*z - 29. Let n be w(-47). Solve -2*t + n = 2*m, 7*m = -5*t + 8*m + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) -4 (c) 11.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83743.5 years in decades?\nAnswer: 8374.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 278 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5899 = -37*j - 101*j - 4447 + 5034 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 61174888.\nAnswer: -305874440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2867735 and -0.5.\nAnswer: 1433867.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6680529m in kilometers?\nAnswer: 0.0006680529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 6}. Give prob of picking 2 h and 1 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.77, 1, 4, -3, -2235?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -608 - -608. Does -1\/2677 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**3\/3 + 3. Let n(u) = 3 - 4*u**2 - 3. Calculate g(n(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.39 (b) -1\/10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -4*i - 23, i - 2*g = -13. Let p be (i + 0 + 2)*-1. Let k(r) = -10*r**3 - r**2 + r. Calculate k(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 831 + 0*a**3 - 417 - 414.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose x*r - 7 = 5. Is r greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 107*n**3\/6 - 44*n. Let i(x) = x**2. Determine i(c(o)).\nAnswer: 11449*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -10)\/(5\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95354081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttorttkrrtktkkrrrr. Give prob of sequence ottr.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 842 + -530. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from {a: 5, y: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.109 (b) -2 (c) 0.19 (d) 1\/2 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 11472*v**2 + 13 - 13 - 11261*v**2 + 4882*v**2 to the form w*v**2 + r*v + u and give w.\nAnswer: -17851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + (-3 - -10))*87. Suppose -3*k = -p - 3*p - x, 5*k = -5*p + 110. Solve -5*w = -0*w + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 + y + 16. Give j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 + c. Let h(p) = -3*p**2 - p. Let x(j) = -j - 1. Let t be x(0). Suppose -1 = 4*y + 3. Let a(b) = t*h(b) + y*d(b). Factor a(s).\nAnswer: s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*l + 623, -2*h + 3*l - 382 = -l. Let i = -121 - h. Suppose -32 = 2*m - 3*p, -m = 4*m - 5*p + i. Which is smaller: -15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - (-30 + 35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3776 + -2?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*b = 82 + 13, 0 = 5*b + 25. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m**2 + 44*m**2 - 33*m**2 + 43*m**2 + 155*m**2.\nAnswer: 253*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 266, 255, 228, 179, 102, -9, -160?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.2692cm in kilometers?\nAnswer: 0.005502692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122b8 (base 16) to base 4\nAnswer: -102022320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**2 + 6*b - 4. Let i = -109 - -104. What is the tens digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 64.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1820798.\nAnswer: 5462394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-171) - (-654)\/27*8. Let u = c + -37. What are the prime factors of u?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1 + -1 + 1. Let d be -12*(5 + -3 - k). Solve -52 = 5*v - 4*p - d, 4*v - 9 = -5*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 11 + 99 + 203)*(33 - 2*h**2 + h**3 - 33) to r + z*h**3 + q*h + k*h**4 + s*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -28 - (-16 - -56 - 43).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*m**2 + 2 + 695*m**2 - 2.\nAnswer: 285*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*g**2 - 12\/7*g**3 + 12\/7*g - 2\/7*g**4.\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -m + 27 - 242, 5*f = 5*m + 250. Suppose -3*q = 10 - f. Calculate the highest common factor of 45 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6237, 24473, 54865, 97413?\n\"Answer: 6078*v**2 + 2*v + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7392)\/(-55) - 11 - 3\/(-5). Suppose 9*t - 110 = a. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 7*m**2 - 45*m - 162. What is p(-9)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25851248.\nAnswer: 2, 19, 85037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226488*u**5 - 137084*u.\nAnswer: -4529760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:33 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 24 = 8*c, -873*w + 22 = -5*c + 848*w - 1722*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11712, -24394, -37076?\nAnswer: -49758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j**3 + 4*j**2 + 6*j - 7. Let s be -14 - (-3 + 21\/6)*-2. Let a(v) = -19*v**3 + 9*v**2 + 13*v - 15. Determine s*t(h) + 6*a(h).\nAnswer: 3*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9472\/5 - 2\/5*q**3 + 448*q - 116\/5*q**2.\nAnswer: -2*(q - 8)**2*(q + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16742, 16745, 16750, 16757, 16766, 16777, 16790?\nAnswer: 16805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(243\/(-9))*35.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 54, 4, -56, 3, 1546 in ascending order.\nAnswer: -56, -2, 3, 4, 54, 1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 3, 24497, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1495 + 1462 + (33 - 1) - (5 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 35*g**3 + 240*g**3 - 335.\nAnswer: 275*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/15 and 81\/7030.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-10) - 30\/4. Let g be (-1 - i)*1\/9. Is -17 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - 0 - -35. Let o be ((-2)\/(-3))\/(3\/f). Suppose -3*q + o*q - 25 = 0. Solve 10 = -q*k - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066943 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2)\/(20\/(-5)). Suppose 5*r - 2*d = -k*r + 24, 16 = 2*r - 4*d. Suppose 3*h - 10 = 2*h + 5*j, 19 = 3*h - r*j. Solve -4*v = v - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 59*v + 62*v + 5 = 0, -5*f + 4*v = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 b when four letters picked without replacement from {b: 19, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-12 - -5) - 9) + 7 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/r**(-5))*r*r*r)\/r**(-5\/3)*(r**(-2\/15)\/r)**(-2\/7) assuming r is positive.\nAnswer: r**(-1\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g + 1. Is j(1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 37. Suppose 7*k + 3*l - d = 2*k, 5*k - 2*l = 26. Let q = k + 6. What is the least common multiple of q and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 495*g + 4509 = -4*n - 12811, -27*g = -2*n - 24*g - 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 610.31223.\nAnswer: 609.81223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 7. Let o be 168\/40 - (-8)\/10. Suppose -o*g = h, 3*h - 33 = -0*h - 4*g. Let k = -15 + h. Calculate y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171281 is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*z + 282, -2*o - 8*z = -3*z - 181. What is the remainder when 87 is divided by 7\/(o\/(-24))*7\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*n**3 + 2*n**2 + 98*n - 1 wrt n.\nAnswer: 162*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/20 + 5*g**3\/6 + 4*g**2 - 7. Give y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -1547, -1543, -1537, -1529?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 104?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-7)\/(1575\/320) - 14\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)*k)\/((k*k\/(k**(-2\/3)\/k*k))\/k*k)*k*k**(-2\/11)*k\/(k*(k**(2\/7)\/k*k)\/k))\/(k**(1\/6)*k*k\/(k\/((k**(-2\/15)\/k)\/k))*k)**(-34) assuming k is positive.\nAnswer: k**(-1156\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*(-273)\/14. Suppose -u + 6 = -5*m. Suppose -m*o + b = -17, -3*o + 4*b = -0*b - 29. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -24?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 80 = 0. Calculate the highest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + j)*(2 + 1 - 2) - 2*j - 3*j + 6*j - 2 - 7*j + 2)*(-2 + 3 + 1 + (0 + 2 - 1)*(1 + 0 + 1) - 1 - 2 + 4 + 5 - 1 - 1) as n + k*j and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-1 - -2)) + -38 + 6 + 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 4*z**2 - 7*z. Suppose 46*g + 133 = 27*g. Let k(i) = -2*i**3 + 3*i**2 + 5*i. Give g*k(j) - 5*d(j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -11. Suppose 0 = -p - 2*p - u. Let m(z) = 1844*z**2 - 1 + 2 - 1845*z**2. Calculate m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/288 and 13\/6120.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/9)\/(m*m*m**5)*(m*m*m**6*m*m*m)\/(m\/m**(2\/5)) assuming m is positive.\nAnswer: m**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1482933, -1482931, -1482929, -1482927?\nAnswer: -1482925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-127)\/((-4572)\/48)*4\/(4\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 - -21200?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1106 and 106\/((9 - 6) + 1).\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 1)*(0 + 2 - 3)*(29*o - 36*o - 67*o) to the form l*o + q and give l.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 23881?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {c: 3, g: 5, b: 4, q: 3, w: 4}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*a - 107 = 195*a + 73. Let q(o) = -12*o - 4. Let t(b) = -1 + 4 + 4*b - 2. Give a*t(f) + 3*q(f).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549156086 to the power of 1\/2, to the nearest integer?\nAnswer: 39359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least -5439.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/75)\/((-498)\/(-1245)))\/3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 + 9. Give o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375, -1772, -2185, -2614, -3059, -3520?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239*n**2 + 384*n**2 - 68*n**3 + 380*n**2 + 475*n**2.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 162\/7*(6 - -1). Let i = -104 + p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97, 205, 313?\n\"Answer: 108*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*a - 15357450, -3*l - 4*a = -8*a - 46072340. Suppose 2*q = l + 14982556. Round q to the nearest one hundred thousand.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -1, 4\/5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 1884*s**2 - 14928*s + 29760.\nAnswer: -3*(s - 620)*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54489 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/((-76)\/171). Let z(a) be the third derivative of 0*a + 0*a**k - 1\/4*a**4 + 0 + 3*a**2 - 1\/20*a**5. Factor z(t).\nAnswer: -3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9203207 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 3*m**3 - m**2 + 0*m - 5*m to u*m + n*m**2 + h*m**3 + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44566527 divided by -14855509?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4090*b**2*h**2 + b**2*h*j + 41552*b*h**2*j - 7*b*h**2 with respect to j.\nAnswer: b**2*h + 41552*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2806 - 2362.4. Let h = r - 400. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.159 + -1.131. Let z = c + 0.29. Let w = -143 - -146. What is the fourth biggest value in w, z, 5, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 10 = 142. Suppose -9*w - j*w + 9240 = 0. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -0.2 (c) 4 (d) 186 (e) 62 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let a(m) be the second derivative of m**3\/6 - 45*m**2\/2 + 5*m + 84. What is a(k(y))?\nAnswer: -y**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 6*o**2 - 5. Calculate n(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/117*2\/10*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -3*sqrt(152)) + sqrt(152))\/sqrt(8) - (sqrt(19)*-3 + 5)**2.\nAnswer: -196 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -b + 3*b. Let p = 27 + b. Find the common denominator of -41\/10 and (-5)\/(-3) - 4\/p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224\/1045 + 3\/209. What is the biggest value in -6, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-29 + 25)\/((-4)\/18) and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {g: 5, y: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-68)\/(-119)*(-5138)\/(-4))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*g + 5 = -2*v, -4*g + 15 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 217*m + 24 - 51.\nAnswer: 217*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31111213202 (base 4) in base 3?\nAnswer: 20120122011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-15)\/((-35)\/7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243208 by 30401.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6453401 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000077129 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(19))**2*-3 + -5 - (-4 + (1 + sqrt(76)*-2 + sqrt(76))**2)) + 5.\nAnswer: -133 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2. Let i(b) = b**2 - 98*b + 193*b - 95*b. What is g(i(q))?\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {i: 4, w: 8, q: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/(-93 + 91). Let g(w) be the third derivative of 0*w + 0 + 0*w**4 + 19*w**2 + 3\/2*w**3 - d*w**5. Differentiate g(b) with respect to b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16 - 2*y + 30*y + 10 - 12*y. What is j(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3331 - 4?\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 20. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3244*g**3 + 2964*g**2 - 28. Let v(w) = 649*w**3 - 593*w**2 + 6. Let y(b) = -3*q(b) - 14*v(b). What is the third derivative of y(l) wrt l?\nAnswer: 3876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettelxextpexeexet. Give prob of picking 1 p and 1 x.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q - q)*(2*q**2 + q**2 - 6*q**2) + 5*q**3 + 0*q**3 - 4*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*v + 112 - 131*v - 21 + v**3 wrt v?\nAnswer: 3*v**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -34*l - 20. Let w be p(-7). Which is greater: w or 217?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r + 0*r)*((-3*r + 4*r - 3*r)*(0 - 5 + 2) + (r - 3*r + 3*r)*(-2 + 3 + 1) + 3*r - r - r).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l - 137 + 212 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12515\/8 - -1564. Which is smaller: m or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s - 4. Let p be t(4). Solve -9 + p = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/379887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -499403213 - 0.4\nAnswer: -499403213.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + d = -37, 3*i = 4*d + 31 + 32. Let x = i - -3. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-736)\/460*(-1365)\/6916?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 - 1605*x**4 + 217065*x**3 - 641595*x**2 + 638400*x - 212268 = 0.\nAnswer: 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 927 = 3*v + 6*x, 5*v = -3*x + 1555. Let w = -395178242\/1254715 - -9\/228130. Let l = w + v. Find the common denominator of l and 61\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342229 is divided by 794?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfu when three letters picked without replacement from {l: 1, f: 4, g: 6, u: 3, z: 1, d: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3872 and 5.\nAnswer: -3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -5*(sqrt(147) - (sqrt(147) + 0)) + 2)**2 + -2 + (sqrt(48)\/sqrt(4)*-4)**2.\nAnswer: 28*sqrt(3) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 9 - 41. Let y be (t\/10)\/(10\/25). Suppose y*h = h + 7. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 smaller than 377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*c*t**2 - 2337*c + 54*t**4 wrt t?\nAnswer: -70*c*t + 216*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -126439*b**2 - 2228*b. Let p(w) = -567*w**2 - 10*w. Calculate 5*i(r) - 1114*p(r).\nAnswer: -557*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*j = -113*j + 3130 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j + 1 + j)*(8 - 1 - 2 + 25 - 80 + 17 + (-2 + 0 + 4)*(0 + 3 - 1) + 1 + 1 + 0 - 3 + 2 + 0).\nAnswer: 28*j - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*d - d + 115, -2*o = -4*d - 118. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 + 201.052. Which is the closest to -0.1? (a) z (b) -2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (-1 - -2) - (229 - 223)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 93746?\nAnswer: 93738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 2*a**2 - a**2 + (2 + 2 - 6)*(-2*a - 3 + 3)*(2*a + 3*a + 4*a) to h*a + c + k*a**2 and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 883 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5267399\/216 - 24386. What is the common denominator of y and 43\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -8 - (-10 + 0). Let b be 0 - a\/((-21)\/18). Solve 20 = y + 4*n, 1 - b = -y - n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064774 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) + (-27)\/15. Let j = 4 + c. Suppose 0 = -j*h - 5*w - 2, 4*h = -2*w + 4 + 8. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -89, -193, -327, -485, -661, -849?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + -2 - (-3 + 0). What is the tens digit of ((-8)\/5)\/(b\/255)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-28)\/(-126) - (-284)\/18). Let g be (-2*1)\/n + 3303\/72. Suppose -3*a = 22 - g. Calculate the least common multiple of 36 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47286.35 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -68. Solve 2*z + 1 + 6 = -5*r, 5*r = z - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 3*o + 14 = -i, o + 2 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -11*m + 480. Calculate the highest common divisor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/7, -1.04, 1\/2, 1490\/47?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k + 192. Let c be s(17). Suppose 24 - 12 = 4*j - 4*f, j - 7 = c*f. Solve j*x - 5 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24298 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y. Let o = -689 + 1061. Suppose -4*m - 3*k + o = 0, 5*m + 5*k - 167 = 303. Let n(v) = 90 - m + 3*v. Give n(f(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 764\/76 - (-3)\/(-57)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 550985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y + 17. Let x(i) = -116*i - 36 + 50 + 37 + 79*i. Let z(b) = 8*w(b) - 3*x(b). Let a be z(4). Solve 4*h = -2*p + 4, -5*h - p + 0*p + a = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 318 = -2*v + 420, -4*v + 16 = 0. Let o = y - -12. Suppose -4*c + 3*j = c - o, 3*c - 5*j - 223 = 0. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/25*-3)\/(9\/120*76).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3, -0.2, -40?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/4 - 75*s\/2 + 519156 = 0.\nAnswer: -1518, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/6)\/(r*((r*r\/(r*r**1))\/r)\/r)*r**0\/(r\/r**(-2\/7))*r**5*r*r**(3\/7)*r*r\/((r**(-1\/11)*r)\/r*r)*(r*r**(-2\/23)*r)\/r*r assuming r is positive.\nAnswer: r**(106049\/10626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43303?\nAnswer: 13, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8227 is divided by 8106?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.535 to two decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -12, -8 in increasing order.\nAnswer: -16, -12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2. Let v(i) = -i. Let d(z) = -z. Let t be (-33)\/(-6) - 2\/(-4). Let r(g) = t*v(g) - 5*d(g). What is r(u(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1766 or 1\/3?\nAnswer: -1766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.35 - -35.65. Is n greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let q(o) = o + 4. Let t(s) = s + 1. Let k(x) = 6*x + 11. Let i(n) = -k(n) + 5*t(n). Let u(y) = 5*i(y) + 8*q(y). Give -5*d(r) - 3*u(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414816 and 4253024?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010011000011111 - 100?\nAnswer: -100011010011000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 1. Suppose 1065 = 5*j - 5*c + c, 0 = -j + l*c + 224. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/18 - 32*o**3\/9 - 29*o**2 - 400*o + 1. Solve n(w) = 0 for w.\nAnswer: -29, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14377498 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 977 and 0.5.\nAnswer: 977.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145846824 divided by 6076951.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132.4 or -2487.98?\nAnswer: -132.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = 3*b. Let z = 16 + -17. Sort z, b, -0.2 in decreasing order.\nAnswer: b, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*m - 363 - 43 = 0, -192 = -h + 3*m. Suppose -h = -0*n - 3*n. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2989402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/21 + ((-13900)\/35)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -7 - o**2 - 1\/3*o**3 + 3*o. Factor a(c).\nAnswer: -(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146113083.9s to weeks.\nAnswer: 241.58909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4395 + 1565. Let f = r - 2116. Does 37 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9512 + 9515 - 21179 + (1 - 3 + 1)*(11 - 4 - 3))*(-q**3 - 2*q - 2 + 2*q) to the form w*q + r + a*q**2 + y*q**3 and give y.\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 2*k - 1. Let v(m) = -5*m**2 - 2*m - 2. Let o = -1482 - -1480. Give o*v(i) + 3*y(i).\nAnswer: -5*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjpwwuww. Give prob of picking 1 u and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020594 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 8.5\nAnswer: -263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.1. Let q = -14.76 + 10.76. What is the closest to -1\/3 in 1\/6, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 123*a**2\/5 + 1036*a\/5 - 1572\/5.\nAnswer: -(a - 6)*(a - 2)*(a + 131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -12?\nAnswer: 31\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a - 11. Let j(q) be the third derivative of 0*q - q**2 + 1\/12*q**4 + 0 + q**3. Let b be j(8). Let o(y) = y + 1. What is b*o(v) + 2*k(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 0 - (0 - -1). Suppose q = u + 2. Is ((-2)\/u)\/((-3)\/(-51)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y - 15*y = -35*y - 401792. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112838817?\nAnswer: 3, 7, 13, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1757308*q**3 + 1325777*q**2 - q wrt q?\nAnswer: -10543848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 10 = -g. Suppose 0 = g*m + m - 4. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2974 (base 16) to base 7.\nAnswer: -42640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2994*c**4 + 8762 with respect to c.\nAnswer: 11976*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3721 - -5?\nAnswer: -371b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3381.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(-v + 0*v + 0*v) - 4*v - v + 3*v)*(32*v**3 + 3 - 16*v**3 - 15*v**3).\nAnswer: -4*v**4 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/2 - ((-504)\/(-24) - -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22002720 rounded to the nearest one hundred thousand?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/5 + 8*t**4\/5 + 8*t**3\/5 - 4*t**2\/5 - 2*t - 4\/5.\nAnswer: 2*(t - 1)*(t + 1)**3*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -7. Suppose -2*p = 3 - u. Determine r, given that -10*r**3 + 8*r**p + r**2 + r**4 + 0*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - (2 - (4 - 0))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1943*g**5 - 2*g**2 + 2036*g wrt g.\nAnswer: 116580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -217, -680, -1391, -2350?\n\"Answer: -124*z**2 - 91*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2176915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-6)\/105)\/1)\/(6\/360). Suppose -3*r = -6*r - 6. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2410 + 2426 = -5*p - 4*n, n + 4 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 408*k**2 + 90166*k - 448. Give z(-221).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -11. Is q less than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - z + 58 - 252 + 92.\nAnswer: -z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1083 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 6*i + 15*i**2 - 5*i - 3*i to t*i**2 + g*i + a and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -113?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l\/l**(-4))\/(l*l\/((l*l**4\/l*l)\/l)*(l**(-1)\/l)\/l) assuming l is positive.\nAnswer: l**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 at most as big as 850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -1\/3*y**3 + 0 - 1\/12*y**4 - 1\/2*y**2 - 5*y. Factor r(t).\nAnswer: -(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(40)\/sqrt(2)*-4)\/(-2*sqrt(196)) + (sqrt(50)\/(sqrt(10)*-1 - sqrt(10)) + -5)*-4).\nAnswer: 64*sqrt(5)\/7 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*j + 70 = 0, -4*j - j = q - 12. What is the derivative of -q + 101 - 315*i**4 + 2 + 394*i**4 wrt i?\nAnswer: 316*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.2. Let z = 4.99 - 5. Let n = 0.41 + z. Which is the smallest value? (a) -1\/4 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 + t**5\/15 + t**4\/24 + 3*t**3\/2 - 4*t**2. Let c be a(-4). Suppose c*d = 3*d + 42. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19999 = 1381*v + 5613 - 43616 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -414\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b + 305a2?\nAnswer: 306b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = q - 3, q - 1306*m + 1307*m - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-2) + (-96)\/64. Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - v + 0*v - 17.\nAnswer: -v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/27 (b) -2\/7 (c) -60\/439 (d) -3 (e) 0.5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + g)*(0*g**2 - g**2 - g**2 + 22*g**3).\nAnswer: 44*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30987)\/(-39) - (-204)\/442. Let k be (-3 - -2)*-23 - -1. Suppose 19*i - k*i = -b. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*w + 13. Solve -o = w - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + p**2 - 6*p**2)*(3*p**3 - 3*p**3 - p**3) - 4*p**2 - 7*p**5 + 0*p**5 + 6*p**2.\nAnswer: -5*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 35*x - 907. Calculate m(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = 5*c, -12 = 2*n - c - 2*c. Let i be n\/(1 + (-2 - 0)). Let k(v) = -2*v + 4. Let f be k(i). Solve 4*r = -3*g + 19, 3*g - f*r + 17 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.91 + -2.8. Let r = u + 0.09. What is the second biggest value in -1\/5, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.2543 decades to years.\nAnswer: 842.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c**2 + 4*c - 4*c**2 + c**3 + 1. Let x be h(3). Suppose -23 = -5*g - 2*u, 2*u - 3 = 3*g - 4. Solve x = -g*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 128*b + 19. Is n(42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from avsqrqv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 27, -4, 2, 646 in decreasing order.\nAnswer: 646, 27, 2, -4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpw when three letters picked without replacement from {p: 1, o: 1, f: 1, x: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/16*2\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*m - 275535*m**2 - 176*m.\nAnswer: -275535*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 2*w**3\/3 - w**2 + 2*w + 1. Let g be d(2). Suppose -2*b = -g*b + 60. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 91*u. Let i(b) = -62*b + 73. Determine i(o(d)).\nAnswer: 186*d**2 + 5642*d + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:57 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 2. Let o(u) = -3*u - 1. Suppose -1 - 1 = -t - 5*d, -2*t + 2*d = 8. Give t*l(z) + 7*o(z).\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -50, -13, -1\/2, -1604 in decreasing order.\nAnswer: 0.4, -1\/2, -13, -50, -1604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2653\/5 - -531. Let c(o) be the first derivative of -2\/5*o**3 - b*o + 1 - 3\/5*o**2 - 1\/10*o**4. Factor c(i).\nAnswer: -2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1276412 and 89268.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -3\/7, 3, -2 in decreasing order.\nAnswer: 6, 3, 0, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*x, 7*s = 3*s + x - 14. Let k be (38 - (3 + -1)) + -3. Let m be (-6)\/s*44\/k. Sort 5, m, -4 in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2445551 (base 6) to base 4\nAnswer: -133331023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12410075911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1578 and 1841.\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 80*a + 37 = 0. Which is greater: a or -2\/33?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 808950*v + 808947.\nAnswer: 3*(v + 1)*(v + 269649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 4, -5 in ascending order.\nAnswer: -5, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2 - (-357)\/179). Suppose w + 195 = -c. Let g = c + 627. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f + 5*n - 17 = 0, 5*f + 5*n - 25 = 0. Suppose f*o - 20 = o. Calculate the lowest common multiple of o and (-4 - -12)*15\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o + 18. What is the lowest common multiple of r(0) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 17*w. What is the remainder when b(-4) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -316*g**5 - 7*g**3 - 2*g + 83. Let f(t) = 106*t**5 + 2*t**3 + t - 28. Let q(u) = -7*f(u) - 2*s(u). Find the second derivative of q(y) wrt y.\nAnswer: -2200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 13) to base 11.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1755)\/360)\/39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -1.5. Let o be 1\/(-5) + 26\/(-195). What is the second biggest value in o, s, -4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589044 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 252, 251, 250?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = -q - 5, 2*q - 5*w = -31. Let i be (2\/(-8) - 0)*q. Let c(u) = -4*u**2 - u + 2. What is c(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((5 + ((1 + sqrt(448) + sqrt(448))*4 - (-1 + sqrt(448))*-4))*-3*6)**2)*1.\nAnswer: 311040*sqrt(7) + 20909993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4313604 divided by 4\nAnswer: -1078401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = -27*u + 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1359005*z**5 - 2455878*z wrt z.\nAnswer: -27180100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8 - 12 = -4*j, 0 = j - 3*z - 5. Solve -4*g - 11 = j*i, 5*g + 22 = 4*i - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -55303514?\nAnswer: -3\/55303514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43150, -43147, -43144, -43141, -43138?\nAnswer: -43135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 + 3*z - 5. Suppose -10*t = 157 - 87. Calculate f(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18302 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5703783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/21)\/(1\/16 - (13910\/(-4320))\/107)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -58. What is the remainder when b is divided by 248\/12 + 2\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3853 + -0.1887. Let j = -0.1245 + p. Round j to three dps.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14*-3)\/(2\/(-2*6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46940000 rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 19*l**2 - 21*l + 39. Give r(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 + 3*x - 4. Let z(l) = 1 + 0*l + l - l**2 - 4*l - l. Suppose 0*m = 3*m + 15. Let c be z(m). Calculate h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:19 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 183 + 203. Solve 0 = 2*d - 3*i - 13, -b*d + 4*i + 11 = -13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 629271*j - 332*j**3 + 3 - 3 - 314640*j - 314631*j.\nAnswer: -332*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 g when three letters picked without replacement from {g: 1, p: 1, z: 1, k: 1, f: 1, t: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 5*n**8\/336 + 7*n**4\/6 - 2*n**3\/3 + 48. Let o(u) be the third derivative of t(u). What is the derivative of o(w) wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 135.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 74 - 72) + 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.7 + -3. Let t = 44.66 + w. What is the smallest value in t, 3, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 38 - 347. Suppose -9*h + 94 = -l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(3\/5))\/r**0)**7)**48)**(-21) assuming r is positive.\nAnswer: r**(-56448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 19) + (-1 + -1 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401005 - 1430?\nAnswer: 355135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069061 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 2, a: 1, b: 4, w: 1}. Give prob of sequence byaw.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 5424.\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 3. Let x = -57 - -61. Let m be p(x). Let v be (m\/(-20))\/(1\/2). Which is the fourth biggest value? (a) v (b) 5\/4 (c) 0 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-43 - 8) + 77)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, 0, 12 in ascending order.\nAnswer: -326, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680.1949ml to litres.\nAnswer: 0.6801949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-440))\/(3 + (-80)\/25).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2756, 5558, 8360, 11162, 13964?\n\"Answer: 2802*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 78. Let l = u - 33. Solve -n + 0 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from jjjghhfjgjj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 64. Let t(i) = -i**2 + 5*i. Let f be t(6). Let u = f + a. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -2 + (37 + 6 - 41 - (-5 + -3))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -745 - -745. Solve -17*i + 9*i - 32 = f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800 divided by 25\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1150?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 69*j**2 - 262*j + 174. Calculate the smallest common multiple of p(65) and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 2*g**2 + 2*g - 2. Let u(b) = -8*b**3 + 6*b**2 + 6*b - 5. Let i(a) = -4*u(a) + 11*z(a). Let p(t) = -t - 11. Let x be p(-8). What is i(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(259 - -11)*50\/15 + 241\/(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 9*x**2 + 260*x.\nAnswer: -x*(x - 20)*(x + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b - 28. Let w be 22\/(-121) - 456\/33. Calculate the smallest common multiple of 86\/10 - w\/35 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 1.2. Let k = -163 - -1469\/9. Which is the second smallest value? (a) v (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/(-340)*1)\/((-9596)\/23990)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 94*z. Let b be 5*(10 - 576\/60) + -3. Give v(b).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1200*a**2 - a. Let n be x(-1). Let s be (-2)\/8 - n\/(-4). Find the common denominator of 41\/7 and (2\/4)\/((-6)\/s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -2\/5, -5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/22 and -3\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -58*y**2 + 1336*y - 40. Let f be v(23). Let s(o) = -7*o**3 - 2*o**2 + 15*o + 17. Let i(b) = -4*b**3 - b**2 + 8*b + 9. Calculate f*s(j) - 11*i(j).\nAnswer: 2*j**3 - j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2793\/126*-3)\/14.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -7, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 235*g + 5 + 237*g - 471*g. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -3 (b) -113 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22013322 (base 4) to base 13.\nAnswer: -15b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (4 + -4) - (85 + -25 + -65)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470504593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*v - 0*v. Let m be (4 - v) + 4*(-8)\/32. Let p = 13 + -8. Solve m*l + p = -7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 2, -3\/86 in increasing order.\nAnswer: -1.8, -3\/86, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 81060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7870 - 2893. What is the remainder when o is divided by 1659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*u**3*v*z + 2*u**3*v + 18*u**2*v - 5*u*v*z + 187*u*v - u*z + 1 wrt u?\nAnswer: -300*u*v*z + 12*u*v + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 39, -15, 66 in descending order.\nAnswer: 66, 39, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 1578584*o**2 + 176851584*o.\nAnswer: -4*o*(o - 394758)*(o + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1654 - 1658. Which is the nearest to 22? (a) -3 (b) r (c) 2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*j - 281*j + 145*j as f*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, v: 3, y: 3, n: 1, b: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-2)\/sqrt(12))\/(5*sqrt(36)\/sqrt(4)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-4)*468\/(-195). Suppose 3*q + 3*x = h, -4*q + 4*x - 3 = -27. Solve -d = -3*d - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -1*sqrt(180) + 4 + ((sqrt(180) + 1 + sqrt(180))*6)**2 + (sqrt(180) + -1 + 2)*2.\nAnswer: 876*sqrt(5) + 25962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 n when four letters picked without replacement from nlarlnrlrnndn?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.7698 nanometers in millimeters?\nAnswer: 0.0004427698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3)*(-2)\/92)\/(425\/((-247350)\/(-388))).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 8, 19, 30, 41, 52?\n\"Answer: 11*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40793.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s. Let f(a) = a. Let x(n) = 3*n. Let c(g) = 2*f(g) - x(g). What is l(c(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*m**2 - 2 - 2*m**2 - 2*m + 3*m**2.\nAnswer: 5*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*o + 42, 3*n - 34*o + 18*o = -17*o + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 - 59*g**3 - 586*g wrt g.\nAnswer: 20*g**3 - 354*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9597\/19 + 505. Let h be (-1)\/((-1)\/(-2)) - -1. Is k less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -46. Let p = a - 46. Is -7 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(325) + (sqrt(325) - (sqrt(325) + sqrt(325) + 3)) + -2 - -2*(3 + sqrt(325)))**2 + 1.\nAnswer: 20*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 387*c + 3098. Let n be x(-8). Solve -n*f = -15*p + 12*p + 13, p - 4*f - 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627830002?\nAnswer: 2, 5897, 53233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006334 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324*x**5 + 76*x**3 + 366482*x.\nAnswer: 6480*x**3 + 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*d + 755, 3*d - 4*d + 4*v = -194. Suppose 26 = 6*l - d. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -5*k**4\/12 - k**3\/3 + 3*k**2\/2 - 5472*k. Let t(i) = -21*i**2 - 8*i + 13. What is 9*l(s) - 2*t(s)?\nAnswer: -3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-7 - -29) + (3 - -5)\/2. Calculate the greatest common divisor of 1401 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 16*l - 1. Let u(y) = y**2 - 3*y. What is u(w) + z(w)?\nAnswer: 5*w**2 - 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -2, -23, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 18*z**2 + 4*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(11 - 246 + 22)*(-2 + 2 + t) + (1 - 4 + 5)*(3 + t - 3) + 3*t + t - 2*t + 0*t - 2*t + 4*t + 2*t - 1 + 4*t - 4*t.\nAnswer: 434*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/542025 and -68\/108405.\nAnswer: 542025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25224? (a) -0.5 (b) 0.156 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3 + (-3)\/(-6)). Suppose -8*h + 1188 = -4*h + x*c, 5*c + 20 = 0. Does 89 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 6 - 24. Let r(x) = 4*x - 30. Let f be r(11). Suppose -11*q + 41 = -f. Put 0, o, q in increasing order.\nAnswer: o, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h = -19*h - 15*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 6:57 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39066, 38941, 38720, 38397, 37966, 37421, 36756, 35965?\nAnswer: 35042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 minus -1367777724106?\nAnswer: 1367777724220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - -0.38. Let k = -6 + -66. Let w = 63 + k. What is the fourth smallest value in w, 0.4, z, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + 68. Let i = k + -189.00091. Round i to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/5, 0.07, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 101. Suppose 0 = -4*v - 2*s - 0*s + 20, u = 3*v - 5*s. Suppose -2*h = 2*h. Solve v*i + 4*z + 7 + 5 = h, 5*i + 4*z + 17 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q + 3. Let r = -887 - -4433\/5. What is the second biggest value in -3, r, q, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 3989.7248017?\nAnswer: -3990.2248017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 10:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*y - 8294 = -972*y + 1312*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26924.2ml to litres.\nAnswer: 26.9242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -3*h - 4, -2*h = 4*g - 18. Let b = 42 - 56. Let o = b + 18. Sort g, o, -1.\nAnswer: -1, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/72858616 and 1\/25736.\nAnswer: 72858616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140244609*t**2 - 11325342*t - 2?\nAnswer: -280489218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -4 + 5 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-13) + 17\/2)\/(2\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 10260578.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22976.2843 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 635, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 353005 = x, 3*x - 4*h = 1186720 - 127740. What is x rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267.3 - 267.34. Sort -2\/5, w, 1, -0.1, -8 in decreasing order.\nAnswer: 1, w, -0.1, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430859194247 - 5*b**3 + 430859194247.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6391 and 14608.\nAnswer: 102256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 456*v**2 + 4463*v + 1381. What is n(-446)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22303 - -200212331?\nAnswer: 200130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -446 by -2.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 310, 466, 618, 760, 886, 990, 1066?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.062 + -8.362. Let q = 42.3 + t. Let i = -34.4 + q. What is the third smallest value in -1, 0, 2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, -12, -3.25, -4 in decreasing order.\nAnswer: 229, -3.25, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 11*u - 22. Let b(m) = -m**2 - 4*m + 8. Give -8*b(w) - 3*s(w).\nAnswer: 2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Suppose -20 = -r*a, -q + 3*q + 5*a - 379 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-35343)\/(-1890))\/187)\/((-4)\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 2403396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 107. Is 9\/21 - k - (-5760)\/35 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from yxxyxyxyxxyxxyyx?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -13*n**5\/20 - n**4\/6 + 9*n**2\/2 - 4*n. Let y(q) = -6*q**3 - q**2 + 4. Calculate 4*x(h) - 9*y(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.3, -11\/80?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(56\/(-30) - -2). Let x = v - -30. Let a = x + -6. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11 - 155\/(-15))*-2733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:33 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:11 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (11 - (13 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 divided by -63?\nAnswer: 151\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 2830912*s + 8492700.\nAnswer: 4*(s + 3)*(s + 707725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + n = -7, z - 4*n + 7 = -n. Suppose 0 = z*v - 3*a - 8, -3*v + 12 = 5*a - 0. Suppose 5*h + 12 = -13, 5*l + v*h = -15. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -99795103.\nAnswer: -99795103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i**2 - 1. Let o be z(-1). Let v = 13 + o. Let u(r) be the second derivative of r**5\/20 + 2*r**4\/3 - r**3\/3 - 9*r**2\/2 + 38*r - 1. Give u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788108955 to the power of 1\/3, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.035 + -0.375. What is i rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 485.1, -13125, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 563 and 3.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -1)\/(1 + -3). Suppose 4 = -d*i + 4*i. Factor -2\/3*v**5 + 0*v + 2\/3*v**2 + 2\/3*v**3 + 0 - 2\/3*v**i.\nAnswer: -2*v**2*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27858909 is divided by 3955?\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 36. Let k be (-1 + (-338)\/2)*(-10 + 11). Let p = 190 + k. What is the least common multiple of n and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*q + 132. Let s = q - 76. Round s to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 - g + 4. Let w(k) = 16*k**3 + 5*k - 13. Let a(c) = 7*s(c) + 2*w(c). Let d(x) = x + 1. Calculate -a(y) + 3*d(y).\nAnswer: 3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w - 108\/7*w**3 - 2*w**2 + 3\/7*w**4 - 48 - 1\/210*w**5. Factor r(j).\nAnswer: -2*(j - 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 - (-3 - -3). Suppose l = -c + 2*f + 7, -5*c + 2*f = -10*c + 23. Find g such that 2 + 2*g + g - c*g**2 + g**2 - g**2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43470707 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -172149588, -344299178, -516448768, -688598358, -860747948?\n\"Answer: -172149590*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463 * 3.\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185412512.\nAnswer: 2, 137, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - 3*m**4 - 53*m**2 - 1 - 722*m**3 - 2*m + 13*m**2 - m**4 + 39*m**2 to the form g + x*m**2 + n*m**3 + w*m**4 + t*m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b + 32 = 192*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**2 - 6*h - 5. Let z(l) = 7*l**2 - 5*l - 4. Suppose -2 = -2*q - 14. Calculate q*z(j) + 5*t(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3911 divide 24980020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112856 = -4*d - 51*l + 49*l, -2*d + 56440 = 4*l. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 6*n - 4. Let t be k(-6). Let w be (-3)\/(8\/t - -1). Suppose -w*l + 0 = -69. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 1, y: 2}. Give prob of picking 2 w and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.76*-7.07\nAnswer: 33.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*p**2 - 628084*p - 22620640 = 0. Calculate p.\nAnswer: -7441, -760\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -228410 divided by 7?\nAnswer: -32630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 5*(sqrt(1053) + -2*sqrt(1053) + sqrt(1053) - sqrt(1053))*2*3*-2)**2.\nAnswer: 9720*sqrt(13) + 3790881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0457 + -0.04569938. What is g rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + sqrt(68) + -2*(sqrt(68) + 1*sqrt(68))))\/(-3*sqrt(4)*4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -40. Is 17 a factor of (p + 1)*(0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5)\/f)**(3\/4))**(-12\/11) assuming f is positive.\nAnswer: f**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 - 2*s**2 + 3 + 3*s**2. Suppose -2*d - 5 + 1 = 0. What is the units digit of g(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**7\/126 - i**6\/30 + i**4\/9 - 1348*i. Factor u(y).\nAnswer: y**2*(y - 2)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3 = 4*u + 16, -2*u + 1 = -x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:18 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, w: 2}. What is prob of sequence bg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 97 = -37. Suppose -44*h + q = -42*h. Suppose -5*y - 4*l = -103, -2*y - y - 5*l = -h. Solve 3*k = 4*f + y, 5*f - 4*k + 2*k = -15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.1. Let u = 0.8 + z. Which is the closest to 0.1? (a) -1\/5 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 15. Suppose -2*d + h - 17 = 0, -h = 4*d - 5*h + 44. Let z be f(d). Let n be (10\/(-8))\/((-2)\/8). Sort z, 3, n.\nAnswer: z, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-3)))\/m)**(-24\/7) assuming m is positive.\nAnswer: m**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218151.\nAnswer: 3, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -664*l + 2654. Let s be v(4). Put 2, s, -146, 7 in ascending order.\nAnswer: -146, s, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 1449669*s**3 - 175129075629*s**2 - 175127625963*s = 0. Calculate s.\nAnswer: -241611, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470673 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222121 - 1101222210?\nAnswer: -1100000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*f = -681*f + 418. Solve d = -w + 321 - 319, 31 = 5*w - f*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*h - 12, 3*r = h + 2*h. Let y be h\/(-6)*45\/20. Which is the third biggest value? (a) -1 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 193779.\nAnswer: 96889.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.2. Let o = d + -0.1. Let r = -0.8 - o. Sort 1\/6, r, -1\/6.\nAnswer: -1\/6, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 56869*o + 284374. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppqqpp. What is prob of picking 2 q and 1 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 - 2*h - 3. Let f be y(-2). Suppose -b + g = -22, -g = 3*b - f*g - 71. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1498878506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -40*k. Let j(y) = 10*y. Let i(s) = 2*c(s) + 9*j(s). Let m be i(1). Let z be (-3 - -8)\/(0 + 1). What is the highest common divisor of z and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.06. Let x = k - -4.94. What is the third biggest value in x, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - -1.3. Let t = -384 + 383.5. Which is the fourth smallest value? (a) -1\/3 (b) 0.1 (c) m (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:12 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 3. Let w = -31 + 29. Let n(a) = 6*a - 4. Give w*n(v) + 3*z(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 5}. Give prob of sequence eqqe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335 + 338. Factor -4\/9*k**2 - 2\/9*k**u + 4\/9 + 2\/9*k.\nAnswer: -2*(k - 1)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = p - 3*u + 2, p - 3*u = 3. Suppose 3*v - p = -3*v. Solve -v*y + y = -i + 6, -5*i + 25 = -5*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2486\nAnswer: -2\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 76*b**2 - 645*b + 18. Calculate x(10).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1713769926, -1713769928, -1713769932, -1713769938, -1713769946, -1713769956?\nAnswer: -1713769968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682*r**3 + 1 + 851*r**3 + 2174*r**3.\nAnswer: 4707*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:59 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 27316?\nAnswer: -27302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56793.944 rounded to the nearest ten?\nAnswer: -56790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + s + 4*s**2 - 2 + s. Let h be x(-5). What is the remainder when 33 is divided by h\/9 + (-14)\/63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**3 - 25*f**2 + 18*f**2 - f + 9*f**2 in the form l*f**2 + w*f + a*f**3 + p and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*u + 3436 = -3428. Calculate the remainder when 6796 is divided by u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65963866 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 15. Let r be a(-7). Let t = r + 166. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 2*a - 6. Let k(s) = s**3 + 9*s**2 + 16*s + 10. Let h be k(-7). Let t(b) = -7*b**2 - 5*b + 13. What is h*t(w) - 9*d(w)?\nAnswer: w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 62. Which is the fourth biggest value? (a) -5\/2 (b) i (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 26 = 2*a. Suppose -9*w - 164 = -a*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/9)\/(x**(-1)\/x))\/(x**(3\/4)*(x\/(x*x**21*x*x))\/x) assuming x is positive.\nAnswer: x**(913\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/120 and -151\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 6319610.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Suppose 5*c - 2*k = -2, 338*c - 3*k + 16 = 337*c. Solve 5*i - c = -y + d*i, 5*i - 15 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 71. What is the nearest to f in 2\/11, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.42232796 to two decimal places.\nAnswer: 20.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 5*g**4 + 0*g**4 - 3*g - 2*g**4 + 2*g**3 in the form m*g**3 + t*g**2 + k*g + r + n*g**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25900 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 89, 140, 189, 236, 281, 324?\n\"Answer: -a**2 + 56*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 8. Find the third derivative of 21*v**6 + 771*v - i*v**2 - 771*v wrt v.\nAnswer: 2520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3527 + 3527 + t. Let l(o) = 3*o**2 - 15*o**2 - 4 + 4. Determine l(c(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1048385392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 10*n + 2. Give h(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 16, 4*s - 5*g - 12 = 16. Put -17, s, 1 in ascending order.\nAnswer: -17, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 - 0. Suppose 0 = n*k + k - 170. Let g = -477 + 480. Calculate the lowest common multiple of k and g.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14602 + -9599. What is the lowest common multiple of q and 1?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30d (base 14) to base 3\nAnswer: -211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2393, 9641, 21803, 38939, 61109, 88373, 120791?\nAnswer: 158423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 68*t + 191. Let u be w(5). What is the third derivative of 11*h**4 + 3*h - 263*h**5 + 45*h**2 + u*h**5 - 272*h**5 wrt h?\nAnswer: -240*h**2 + 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x**3 - 7*x**2 - 6*x + 7. Does 8 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/3)*s*s*(((s\/(s*(s\/(s\/(s\/(s\/(s\/s**(3\/5)))*s))*s)\/s)*s)\/s*s)\/s)\/s*(s\/(s\/(s*s**15)))\/s**(-2\/7))**(1\/28) assuming s is positive.\nAnswer: s**(1843\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - 396*s + 2466. What is y(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 185 = -45. Solve -r + o = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(-2))\/((-37)\/(-1406)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*f - 0*f. Let c = f + -15. Calculate the least common multiple of c and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1411*t = -1391*t. Let u(m) = -m**3 + 5*m**2 - 5*m + 4. Let c be u(4). Factor t*r**2 + 0 + 2\/3*r**3 + c*r.\nAnswer: 2*r**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**4\/12 - 3*j**3\/2 + 7*j**2\/2 - 4*j. Let y = -2 - -10. Give s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let o be (-135)\/20 + 1\/(-4) + 3. Let k(q) = q. Determine o*l(f) - 3*k(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. What is k(-18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-6))\/((-4)\/6). Let p = -0.1 + 0. Which is the nearest to p? (a) -4 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1493793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -50.4. Let f = v - -0.6. Let h = f + 7.41. Round h to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01026 and 8.93?\nAnswer: 0.0916218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 9. Let d be 4 + 222\/(-33) + v. Suppose 4 = 5*r - 4*k, 2*r + 9*k + 5 = 4*k. Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 8635.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x + 258. Calculate the remainder when i(-36) is divided by 110.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -34*(-13)\/(-104)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4) + (-2)\/(-11). Let q = -592\/5 - -118. Which is the nearest to -1\/4? (a) d (b) q (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 208, 0.6, -10 in descending order.\nAnswer: 208, 0.6, -2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 176\/12 - 4\/6. Suppose -34*x + 27*x + 98 = 0. What is the greatest common divisor of x and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -26*q**3 + 9*q**2 - 7*q. Let j(c) = -13*c**3 + 4*c**2 - 3*c. Let h(f) = -5*j(f) + 2*n(f). Determine h(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -16 + (20 - (28 + -24)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -8, -14, -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 e, and 1 n when four letters picked without replacement from twwttntwwetnxxtnty?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -3 (c) 212503 (d) 1\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -30. Let m be c*(-1 - 18\/(-10)). Suppose 0 = -4*r + 8*r - m. Are -2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-32) - (-6)\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.26 (b) 1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-35)*m\/(m*(m**(2\/9)\/m)\/m*m*m)*m*m**7*m assuming m is positive.\nAnswer: m**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 + 14 = 0. Let f(s) = -s**2 + 9*s + 0 - k*s + 9 + 0*s**2. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-4 - (7 + -1)) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8216, 17136, 41332, 88442, 166104, 281956, 443636, 658782?\nAnswer: 935032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w + 36. Let t be b(3). Calculate the remainder when (123\/t)\/((-1)\/(-4 - 2)) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**3 + 55*m**2 + 12*m + 15. What is s(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.1 (b) -0.055 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + -10.34.\nAnswer: -9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 1750104*q + 191429000676.\nAnswer: 4*(q + 218763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let k be (-2 - 2) + g\/6. Put k, 0, -3 in descending order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 233?\nAnswer: 8388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 4. Let i(k) = -11*k + 5. Let c(m) = 9*m - 4. Let n(x) = -5*c(x) - 4*i(x). Determine t(n(v)).\nAnswer: 6*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:36 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*p*s - 25*h**3*p - 17*h**2*s - h*s - 709*p wrt h.\nAnswer: 12*h*p*s - 150*h*p - 34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*207\/(-6) + 1. Let n(u) = 14*u**2 + 49*u + 23. Let v be n(-4). Let h = v - x. Is h <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2870865663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22989, 184026, 621109, 1472256, 2875485, 4968814, 7890261, 11777844?\nAnswer: 16769581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4761c - 1?\nAnswer: -47620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -388 + 417. What is the remainder when 92 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqj when three letters picked without replacement from qftjjjw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 15. Let u be v(-17). Solve r + 5 = d, -u*r + 4*r - 3*d = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-26) + 210\/(-156). Is -2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103130*g**4 - 115008*g**2 wrt g?\nAnswer: 2475120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*k - 6, 0*l + 13 = 4*k - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, t: 4}. Give prob of sequence hthh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -4, -30, -74, -142?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1 - 107*o + 0*o**2 + 1\/2*o**3 + 139\/20*o**5 + 11\/12*o**4. What is the third derivative of x(q) wrt q?\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 82*l**2 + 9*l**2 - 15*l**2 + (-3*l + 3*l + 3*l**2)*(0*l + l + l).\nAnswer: 5*l**3 + 76*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = -3*d, -2*i - 3*i + d + 5 = 0. Find the third derivative of -4*r**6 + i*r**6 + 4*r**2 - 3*r**6 wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154*171\/((-68229)\/228)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 2*v, 2*h - v + 8 = 4*h. Suppose 28 = h*s - 4*i, i + 4 = -3*i. Is s greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 308*n + 262*n - 515*n - 16 + 8.\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357b (base 13) to base 2.\nAnswer: -1110101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b**4 - 323303*b**3*v**3 + b**2*v**3 + b**2 - 32209*b*v**3 + 5*b - 5 wrt b.\nAnswer: 192*b - 1939818*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5070 by 5.\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -19*u + 16*u + 55, -5*z + 7*u + 14 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -68 + 36 - 4*p + 2*p + 36. Let o(t) = 11*t + 6. Let k(w) = 9*w + 5. Let s(f) = 6*k(f) - 5*o(f). Calculate z(s(v)).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 92, 195, 360, 599, 924, 1347?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82928871 and 27?\nAnswer: 248786613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -2 + (-3*(1*sqrt(180) - sqrt(180)))**2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119481565.\nAnswer: 5, 7, 3413759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165144 and 17694?\nAnswer: 495432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -5 (b) -332 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/96*6*3\/(-4)*272\/(-51)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 14*h - 7*h + h**3 + 0*h**3 + 2 in the form b + j*h**2 + a*h + f*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -42 - 28. Suppose -c + 17 + q = 3*y, 46 = 5*y + 2*c. Solve -y = v - 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 21335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*w**5 - 3*w**4 - 6*w**3 + w**2 + 2158*w + 1 wrt w.\nAnswer: -1860*w**2 - 72*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -1232, -1832, -2416, -2978?\nAnswer: -3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/(6*2\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(10)\/(sqrt(128)*-5) + -4 + ((sqrt(180)*-1)\/sqrt(9))\/((sqrt(4) - (sqrt(100) - sqrt(100)*-2)) + sqrt(4))).\nAnswer: -16 + 27*sqrt(5)\/130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjzqqz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39926519\/251 + -159070. Let s = j + 24559\/3514. What is the common denominator of s and -91\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/8)\/((-4)\/((-128)\/12)). Let z = 29 - 14. Sort j, z, 0.4, 1\/4 in ascending order.\nAnswer: 1\/4, 0.4, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from yzyyyyrrq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -4, 1\/70, -1\/3, 4\/5 in descending order.\nAnswer: 4\/5, 1\/70, -1\/3, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 1996 = -23*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 368263 and 736525\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-210) - (-68)\/510?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.967 - -2575?\nAnswer: 2580.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, -0.4, -18 in ascending order.\nAnswer: -18, -0.4, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eihkaqhhhhh. What is prob of sequence ia?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/3 - v**2\/9 = 0. What is v?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-2*sqrt(11)) - (0 + sqrt(13) + sqrt(13) + sqrt(65)\/sqrt(5) + sqrt(13)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -4 - 5) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -19*j**4\/24 + 41*j**3\/6 - 11*j**2 - 2. Let a be p(2). Solve q = -2*v - 5, -a = v + 3*q + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -21, -30, -41, -54, -69?\n\"Answer: -n**2 - 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 2*c**2 + 9. Let s(b) = -b**3 + 2*b**2 + b + 3. Let n(p) = -g(p) + 2*s(p). What is n(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1222 + 0.118. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*c**2 + 327*c**2 + 11*c + 366*c**2 - 1385*c**2 - 11*c + 356*c**2.\nAnswer: 82*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/18 + 1 - -1. Let r = -1063 - -1067.89. Let s = -0.11 - r. What is the closest to 0.1 in -2, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*f**3 + 14804*a**3*l**3 - 14*a**2*f**3*l**3 + 4*a**2*l + 34*a*l wrt a?\nAnswer: 18*f**3 + 88824*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/5 + 3448*g**3\/5 - 117520*g**2 - 148044000*g.\nAnswer: 4*g*(g - 438)*(g + 650)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + -1*sqrt(19)*-3).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71207393?\nAnswer: 317, 224629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.045 and 216.25.\nAnswer: 9.73125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:42 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322857416 to the nearest integer?\nAnswer: 17968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 31296.\nAnswer: -281664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:32 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(1 + m - 1 + 1)*(m**4 + m**4 - 3*m**4) - 4613 - 2416 + 2240 + 3*m**5.\nAnswer: m**5 - 2*m**4 - 4789","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 219, 376, 533?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/2)\/(-5 - -6). Let f = 14 + -7. Let j = c + f. Solve j*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 74*o + 1. Let a be w(1). Let u = 65 + a. Suppose 3*l + 709 = 4*v + u, -5*l = -5. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 190*r + 224*r + 5*r.\nAnswer: 447*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -10*q + 9. Does 9 divide 15\/q + (-25328)\/(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 6*i - 6. Suppose -2*d + 2*b = -34, -4*b - 67 = -4*d - b. Let g be (-2)\/d + (-146)\/(-16). Suppose g*v + 36 = -18. What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1495.412 - 1.412. Let l = q - 1494.0000002266. Round l to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 4\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 934, 938, 944, 952, 962, 974?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455355 and 3?\nAnswer: 455355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329563514*y**3 + 17848103*y.\nAnswer: 1977381084*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 7333963540518.\nAnswer: -7333963540498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64.5 + 51. Let l = n + 18. Is l smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 - 631 = 0. Let h = 226 - 99. Suppose 2*p = -h + d. What is the remainder when p is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.72 - 4.62. Let x = m + 4.1. What is the nearest to x in 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a factor of 105735960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148070.\nAnswer: 2, 5, 13, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.000055. Let q = 194 - 194. Let l = q + z. What is l rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.004276.\nAnswer: 0.055588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27539 is divided by 630.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 11. Suppose -2*r + 34 - 48 = 0. Is x at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9581886 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6858181 + -34?\nAnswer: -6858225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 26*k + 21. Let j be ((-64)\/(-3) - -5) + 24\/(-18). Calculate c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1424 divided by 356\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/4 + y**3\/3 + y**2\/2 + 2*y. Let x = 19 - 15. Suppose -o + 10 = x*w - 1, -4*w + o + 5 = 0. Determine d(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -178\/7. Let q = 7 + -2. Which is the second biggest value? (a) q (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*s - 6, -17*s + 13*s - 3*g - 21 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 132\/25, 1\/4, 36, 3\/2?\nAnswer: 132\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.059 (c) 0 (d) 4.1 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 71 = -2*s, 0 = 4*s + s - 5*m - 215. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*i + 283*i - 35 = 0. Solve -2 = m - i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 2052539.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*c**3 - 982*c**3 + 1494*c**3.\nAnswer: 87*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - ((14 - 4) + -27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795 is divided by 1315?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/9608 and -67\/20?\nAnswer: 48040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8772750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 - 111001001010100100110?\nAnswer: -111001001010010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16729, 66876, 150461, 267490, 417969, 601904, 819301, 1070166?\n\"Answer: p**3 + 16713*p**2 + p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-17)*(-3)\/(-6)*54\/9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/5040 + u**5\/60 - 3*u**2. Let o(k) be the third derivative of q(k). Let r(j) = -5*j. Calculate r(o(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1042*v**2 + 8*v + 26. Let p be g(-8). What is the units digit of (4\/(-6))\/(11\/(p\/12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2\/431?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45884570?\nAnswer: 2, 5, 4588457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and 296\/(-288) + (-3)\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -18. Suppose -3*k + 12 = -2*r + 6, k = -r + 7. Sort f, r, -1 in ascending order.\nAnswer: -1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 76230769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Suppose 3*c = 3*h + 4*c - 1254, -u*c + 407 = h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 9*b + 11. Suppose -d + 72 = d - x, -3*d + 98 = x. Let n = d - 42. Let c be k(n). Calculate the greatest common factor of 15 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*a - 2*d, -52 = 110*a - 108*a - 3*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 92903\nAnswer: -929030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 119877 and 119876 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:03 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194996 by 164.\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*s + 48. Let j(d) = -d - 3. Determine j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -0 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 885762 divided by 698?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let r be u(-3). Suppose 3*q + 43 = r*w, -2*w + 4*q = -11 - 3. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359908452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**2 - 93*u**2 + 178*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n + 9. Suppose 4*z + 8 = -8. Let m(p) = -p - 1. Let x(y) = z*m(y) + c(y). What is the first derivative of x(r) wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.35295*-8.\nAnswer: 10.8236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -1 + sqrt(75) - (sqrt(3) - (sqrt(144)\/sqrt(6))\/sqrt(8)) - (-3*sqrt(147)*-1)**2*-5.\nAnswer: 10*sqrt(3) + 6614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7889 or 0.096?\nAnswer: 7889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-196)\/294 + (-1047)\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, -41 in decreasing order.\nAnswer: 3, 1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 426 and 1942492?\nAnswer: 827501592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 1183680 - 1037328. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7254 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -3*x - 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -805 or -760?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 113. Suppose -3*y = v - h, 4*v = -3 - 13. Solve 15 = -3*p, l = -3*p - p - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*w + 2948 = 0, -2*q + 5*w + 438 + 731 = 0. Let u = q + -125. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -33 (c) 0.5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t**(-3))**(-45)\/((t**(-6)*(t\/(t**(-1)\/t)*t)\/t)\/(t**3\/(t\/t**0))) assuming t is positive.\nAnswer: t**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 195332?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-18)*(24 + -81) and -20\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 17010.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/70*-7)\/((-3)\/((-3)\/(-2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 59 + -32 - ((-1 - 2) + -2 + -20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 98585*d.\nAnswer: 5*d*(d - 19717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 9, -4, -33, -84, -163, -276, -429?\n\"Answer: -q**3 + q**2 + q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.4324218 milliseconds to weeks.\nAnswer: 0.0000000800800625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:59 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:28 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 1. Suppose 3*d + d = -5*u - 14, -5*d = -4*u - 3. Let a be 1 - (4 + (-4 - u)). Give t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/5188320 and 29\/8917425.\nAnswer: 285357600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*q - 66, 2*q - 4*k = -61 - 25. Let w(l) = -l**2 - 35*l + 251. Is w(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(2 + 2) + -2. What is the tens digit of 3\/((-9)\/(-93)) + u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.214154 months in millennia?\nAnswer: 0.0001011795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/13*(42\/(-195))\/(-7)*50\/2.\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6*l + 18474. Determine j(-133).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 4?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -542\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 10. Suppose -j + 5*j = f + 15, -10 = -2*f - 2*j. Let x be (2 - h - 0)\/f. Solve 0 = 2*y - 6, 2 - x = 4*a - y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4107804 - 171?\nAnswer: 4107623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6153 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.2, 3\/4, 2 in descending order.\nAnswer: 2, 3\/4, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 875763484967\nAnswer: -875763484969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 145, 152, 161, 172?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134333101 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 5, -16 in increasing order.\nAnswer: -16, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71229*b**4 + 2*b**2 + 47654?\nAnswer: -284916*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a factor of 13792720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400140 (base 9) in base 15?\nAnswer: 4a043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from fafafwwffqfafffffff.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/42*((-750)\/45)\/(-25).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6972 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3908058 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3102 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.7248 rounded to 1 decimal place?\nAnswer: 45.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440778.5 years to millennia.\nAnswer: 440.7785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 - 12*s**2\/7 - 50*s\/7 - 36\/7.\nAnswer: 2*(s - 9)*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/3 - -14. Let u be (-7)\/(7\/2) - 3. Which is the closest to y? (a) 3\/5 (b) -2\/17 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m - 29 = 0. Suppose -m - 3 = -2*h. Let u be 3\/((-7)\/1680*-5). What is the greatest common divisor of h and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 7, l: 4, v: 2}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2 + -2)\/2. Suppose -3*f - 2*p = -3*p - 9, -2*f = -4*p + t. Suppose -16 = -f*c + 28. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 749871857 and 24.\nAnswer: 749871881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -1121?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000 + 10110110?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*d**2 + 32*d**2 + 411*d - 724*d**2 wrt d.\nAnswer: -1144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -2 + sqrt(175) + 1)**2 + 2.\nAnswer: 40*sqrt(7) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 15. Let r(o) = -o**2 + 6*o - 3. Let f be r(a). Is 1\/f + (-228)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97479 is divided by 200.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 3. Let q = -34 + 61. Let p(x) be the first derivative of -13 + 58*x - 30*x - q*x. What is 9*p(j) + 2*s(j)?\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 8*g + 2. Let l be f(7). Is l\/(-63) - 44\/(-14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 2539 = 2719. What is the remainder when 927 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 39, 91794, 3.\nAnswer: 3, 24, 39, 91794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {h: 1, a: 4, b: 1, g: 2, y: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.9 + -6. Let k = -1.1 - s. Is -3 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5895 (base 13) to base 8\nAnswer: 30253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2225, 3, -6, -2, -1, 21, 0.\nAnswer: -6, -2, -1, 0, 3, 21, 2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144, 150, 160, 174, 192, 214, 240?\n\"Answer: 2*r**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8416*b + 8415*b - 19 = -2*p, 26 = -2*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.101.\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 3}. What is prob of picking 1 h and 2 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3320676036.\nAnswer: 2, 3, 92241001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2. Let j(u) = 1048699*u**2. What is y(j(f))?\nAnswer: 1099769592601*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 0. Suppose 2*t + 3*h - 25 = m, -t + 71 = 4*t - h. Suppose -t - 14 = -4*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -266, -294, -300, -260, -150?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**2*s**3*u - 2*j**2*u + 10*j*s**3 + j*s**2 - 319*s*u - 2*s wrt s?\nAnswer: 36*j**2*s*u + 60*j*s + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15884*t**2 + 15*t + 61. Let x be r(7). What is x rounded to the nearest ten thousand?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, -0.3, 3\/5, 2, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 2*c**2 + c - 29. Calculate m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*z - 121*z = -683*z + 54777 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 1.4. Let y = 35\/234 + 2\/117. Which is the second smallest value? (a) y (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*z - 9*z**2 - 3*z**4 - z**3 - 23*z**2 + 28*z**2 to the form b*z**3 + n*z**4 + v*z**2 + a + i*z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 1. What is l(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-12))\/((-39)\/8). What is the closest to -2\/23 in 1, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-110))\/(1\/(-5))*(-368)\/(-1380). What is the fourth smallest value in -3, 50, r, -7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2, 3, 4, -431 in increasing order.\nAnswer: -431, -3, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 14) + (-2 + -2 - -2) + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, 34.5089?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -8, -66, -188, -398, -720?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/12 + 9*o**3\/2 - 176*o**2. Let d(y) = 6*y. Determine d(l(b)).\nAnswer: 12*b + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 18*s + 180. Give g(11).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + t**2 - 2*t**2 + (-4*t + 5*t + 0*t)*(-6*t + 3*t + 2*t) - t**2 - 3*t**2 + 3*t**2 - 6*t**2 + 10*t - 10*t + 3*t**2 - 2*t**2 + 1 - 2*t**2.\nAnswer: -10*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 867368 to the power of 1\/2, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 - 316. Suppose -4*w + w = 0. Is t bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13003*h**3 - h**2 + 3*h - 1. Let t be r(7). What is t rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0 + 0*k - 1\/300*k**6 - 4*k**2 - 9\/5*k**3 - 9\/20*k**4 - 3\/50*k**5. Factor b(n).\nAnswer: -2*(n + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Suppose c - 5*s = -7, -s + t*s = c - 5. Let y(n) = -4 + 5 + 2*n - 2. What is y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*p**2*s**3 + 142*h**2*p**2*s**2 + h*p + 6*p**2*s - 5*p*s**3 wrt h.\nAnswer: 2*p**2*s**3 + 284*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -16, 5, -0.8, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddjddjdddjddjdjdddj.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 60830 divided by -2765\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxc when four letters picked without replacement from {x: 4, c: 16}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23481*m**3 + 27664*m?\nAnswer: 140886*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.55294 decades in centuries?\nAnswer: 8.655294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 13*p + 45. Let b be n(-7). Suppose -b*x - 5*x = -6*x. Let c(l) = -2*l - 7. Calculate c(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/4 + 193*a**3\/4 - 9347*a**2\/2 - 277750*a = 0. What is a?\nAnswer: -250, -44, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18298 and 144716268.\nAnswer: 1013013876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-1*sqrt(5))*1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-9)\/(-6) + -1). Suppose l*j + 3*o = 755, 7 = -5*o - 8. Suppose -164 = -5*n + j. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396) + sqrt(396)*-1))))) + -2*sqrt(396) + 4 + (5 + -1 + sqrt(396))*5)*5)**2 + 3.\nAnswer: 777600*sqrt(11) + 3726003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 3 (b) -1319 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {j: 11, g: 4, p: 4}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, o: 1}. What is prob of picking 3 w and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -25683505.\nAnswer: 565037110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u + 0 - 1\/42*u**7 + 0*u**5 + 1\/3*u**4 + 0*u**3 + 0*u**2 + 0*u**6. Find the third derivative of m(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240761651 to the power of 1\/2, to the nearest integer?\nAnswer: 35224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1431 or 1414?\nAnswer: 1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 2. Let o(z) = 224*z - 70. Let s(m) = -4*o(m) + 140*w(m). Let y(c) = c. Give s(y(h)).\nAnswer: -476*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. What is the third smallest value in x, -0.05, 5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2 + 1. Suppose 5*b + 5 = -3*w, -5*b - 12 = 2*w - 2. Let s(f) = 3*f**3 + 2*f**2 + 1. Let v(x) = w*c(x) - 2*s(x). Give v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437888248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0 + 86*f**3 + 2 - 85*f**3 + f - 3*f**2 - 5*f. Let i be t(4). Calculate the highest common factor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1876, -6, 2 in increasing order.\nAnswer: -6, 2, 1876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 13*t - 8. Suppose -7*c = -9*c + 4. Suppose -c*q = -4*g + 8, -2*g - 2*g = -4*q. Calculate the smallest common multiple of g and j(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -182*a + 8193. Let d be v(45). Put 0, -12, 7, 8, d in ascending order.\nAnswer: -12, 0, d, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60644.2 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153\/6 + 2\/(-4). Suppose 27 = -2*s + 5*b, 5*s = 3*b + 5 - u. Let a(v) = -5*v - 1. Let t be a(s). Solve 12 = -t*c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 2*i. Let b(a) = 2*a**3 + a**2 - 3. Let f(w) = -2*w**2 - 2 + 3*w**2 - 2 + 3. Let m = 3 + -4. Calculate i*b(z) + m*f(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205964?\nAnswer: 2, 11, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3.49 (c) -1\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(72) - (-4 + sqrt(72))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 2 = -4*v, 5*a - 47 + 124 = 23*v + a + 9*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Suppose 4 + b = -m. What is the remainder when 2 + 8*m\/(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -19, -53, -101, -163, -239?\n\"Answer: -7*k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*w + 12 = -81*w. Suppose -7*g = -w*g, 5*c - 3*g - 1170 = 0. Suppose 5*a - c = -14. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 76 = -21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262892047\/4 or 65723012?\nAnswer: 65723012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1556\/15 + 104. Let w be 65\/78*(-114)\/80*2. Let v = w + 269\/120. What is the third biggest value in v, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 - 196. Suppose 5*y + 20 = f*x + 3*x, -x - 5*y = 8. Factor -1\/11*m**x + 0 - 1\/11*m.\nAnswer: -m*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((1\/6)\/((-16)\/(-32))). Let p(w) = -10*w + 3. Give p(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 11. Let r(k) = -21*k + 51. Let x(h) = 3*h - 6. Let w(u) = 6*r(u) + 51*x(u). Determine w(v(p)).\nAnswer: 81*p + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:43 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i + 12. Let z(n) = -19*n - 13. Determine 6*t(l) + 5*z(l).\nAnswer: 13*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)*f*f*f**(4\/5)*f**4*f**(2\/21)*(f\/(f**(-1)*f))**20*f**(-1)*f**(1\/2) assuming f is positive.\nAnswer: f**(5333\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/10 + (-49)\/(-10) and 85\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:56 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/12 + (-199)\/(-4). Suppose 46*o = u*o - 273. List the prime factors of o.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(sqrt(15) - -3*(sqrt(15) - sqrt(240)))\/(sqrt(75) + (sqrt(75) - sqrt(75)*-2) + sqrt(75)) + -2)**2.\nAnswer: 256\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1476695, -1476542, -1476389?\nAnswer: -1476236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850209 is divided by 142?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose 0 + 60 = -15*k. Put 7, q, k in decreasing order.\nAnswer: 7, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f + 2*f)*(-394*f**3 + 2397*f**3 + 6*f**3).\nAnswer: -2009*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -29*d**2. Suppose -4*j = -2*j + 4, 3*w - 5*j - 10 = 0. Let g(p) = w*p**2 + p**2 + p**2 - 3*p**2. What is g(i(h))?\nAnswer: -841*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 11*x**2 + 6. Let b = 1699 + -1688. What is k(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5 + 19458146*d**4 + 167*d**2 - 313*d + 22 wrt d?\nAnswer: -180*d**2 + 466995504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2929*c**2\/2 + 11857*c - 2041. Differentiate i(a) wrt a.\nAnswer: 2929","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w**2 - 111*w + 1. Calculate q(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.02315 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 9 = 26*a. Let k be (a + (-28)\/8)*-4. Factor -4*b**2 + 2*b**2 - 20 - 3*b**k - 8*b - 12*b.\nAnswer: -5*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/((231\/18)\/77).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let r(w) be the second derivative of -1\/2*w**3 + 0 + 4*w - 17\/2*w**2. Determine -17*a(m) - 6*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*j**3 + 340081*j**2 - 340081*j**2.\nAnswer: -133*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*c = -28. Sort 1, c, 15 in decreasing order.\nAnswer: 15, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 36, 66, 110, 168, 240?\n\"Answer: 7*f**2 - 5*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28244718, 28244755, 28244792?\nAnswer: 28244829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:29 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(4\/7)*v)\/(v\/(v*v\/(v**(2\/9)\/v))))\/(v\/(v\/v**1))**(-25))**(-49) assuming v is positive.\nAnswer: v**(-13384\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 6\/10. Which is bigger: h or -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w + 20. Determine g(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/32*((-129)\/1075)\/(24\/(-80))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -26 (c) -1 (d) -60.7 (e) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**2*y**2 + 101*t**2 - 46*t*y**2 + y**2 + 15*y + 2 wrt y?\nAnswer: 12*t**2 - 92*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 3*x + x**2 + (-3*x**2 + 1 - 1)*(-1 + 2 - 4).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -84, -119, -154, -189, -224?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000310264 rounded to 7 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 14*q + 13. Let d(f) = 2*f**2 + 7*f + 6. Let s(u) = 5*d(u) - 3*j(u). Determine s(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.011 + -18.989. Let s = q + 28. What is the nearest to 1 in s, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**6)\/d)\/(d*d**(-1\/9)*d))\/(d*d**(-1\/7))**7)**(2\/99) assuming d is positive.\nAnswer: d**(-250\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {d: 2, o: 2, r: 2, k: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 788496 and 24?\nAnswer: 788496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/13)\/o)\/o*o*o**5)\/(o**(-3))**6 assuming o is positive.\nAnswer: o**(285\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 - 176683096*m\/9 - 3902114551518152\/9 = 0. What is m?\nAnswer: -44170774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**2 - 21*l - 156. Let o(q) = -3*q**2 - 5*q - 39. Let r(y) = -9*o(y) + 2*p(y). Is r(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 5*q - 5. Let s = -16 - -16. Let n(i) = -i**2 + i + 5 - 6 + s*i. What is -h(m) + 5*n(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 175 = -0*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 5, -1\/2, 2\/11, -0.4, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2550\/(-13600))\/(3\/(-72)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(55) + (sqrt(55) - sqrt(495)))*3 - (sqrt(880)*1 + sqrt(880) - sqrt(55)))\/((2*sqrt(1210))\/((sqrt(20)*-1)\/sqrt(10))))**2.\nAnswer: 900\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 105. Suppose 4*d = 3*k - 5 + h, 3*d - 12 = k. Suppose -6*u + 2*u = 0, x + 5*u - 1 = k. Which is the closest to 0? (a) x (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/1*(-10)\/8. Suppose -88 + 40 = -12*o. What is the second derivative of k*i - 11*i - 22*i**o + 8*i**4 wrt i?\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 2315. Let z be a(80). Is 1994 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(15) + (sqrt(15) - sqrt(135)))\/sqrt(5) + (sqrt(3) - sqrt(363)*2)**2 - (-3 + -1*sqrt(75))).\nAnswer: -2652 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37720 and 1776120.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 4811 = -60*p + 59*p + 1456 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-22)*u)\/u*u*u*u*u\/(u**(-12\/11)\/u)*u)**(9\/4))**(-16) assuming u is positive.\nAnswer: u**(5904\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 6788310.55703?\nAnswer: -6788305.55703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**4\/4 - 5*t**3\/3 - t**2\/2 - 6*t - 4. Let c be r(-5). Let b = c - -370. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -2*o, 5*o + 0*o - 4 = 3*q. Let f(l) = l + 19. Let k be f(q). Let d be 6\/8 + (k\/4)\/(-7). Solve u + 4 + 1 = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 73*h + 791. Give l(-12).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/2 + 7*k**3\/2 - 9*k**2\/2 - 7*k\/2 + 5 = 0. Calculate k.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 5*b)*(b**2 + b - b)*(-112*b + 74*b - 288*b) in the form l*b**3 + i*b + v*b**4 + f + u*b**2 and give v.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29207441?\nAnswer: 137, 213193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3\/8, 1\/4, -1\/2 in decreasing order.\nAnswer: 3\/8, 1\/4, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, 6, 1 in increasing order.\nAnswer: -1, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + -4.06. Let w(y) = -8*y - 10. Let s be w(-1). What is the second biggest value in 2\/3, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*m**2 + 21446*m + 832884.\nAnswer: 2*(m + 494)*(20*m + 843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.932 + 0.068. What is the closest to 3 in -5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3 + (-16)\/(-5)). Suppose -2*s + x*s + 5*t = 134, -2*t = 4*s - 188. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*f**3 - 5*f**2 - 222 wrt f?\nAnswer: 33*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 - 2*g**2 + 7. Let r(f) = 3*f**3 + f**2 - 4. Give 4*i(w) + 7*r(w).\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*f = -2*c + 8, 5*f + 15 = 0. Solve -4 = -0*n - c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -19*z**2 + 6*z - 1. Let u = 5494 - 5498. Let b(k) = -37*k**2 + 11*k - 2. What is u*b(y) + 7*t(y)?\nAnswer: 15*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 8. Let q be u(-6). Suppose -3 = -t + 2*l - 1, -5*t - q*l + 22 = 0. Let h = -723 - -759. What is the highest common factor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 8*z + 3 - 2*z. Suppose -l - 5*h + 2 = -3*h, -4 = -h. Let v(r) = -1 + 12 + 3*r + 0. Give l*v(q) + 22*a(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129324 is divided by 272.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108.74 + 110.45. Which is the fourth biggest value? (a) f (b) 4 (c) -3\/7 (d) 2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/24 + 5*o**3\/6 + 2*o**2 - 4*o. Give u(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 3*a + 1. Let g be w(4). Suppose 2*j + 46 = 3*o - 26, -g = -o + 5*j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 67 = -r, 0 = -r + 2*r - 3. Let d = 34 + n. Let g = -10 - -25. Solve -g = -3*i - d*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/5, 3, -3, 5, -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -18. What is the remainder when (-2)\/(-5) - 1509*(-4 + 531\/135) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 28*c**2 - 124*c - 128.\nAnswer: (c - 32)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/48*63 + -4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23750 divided by 1?\nAnswer: -23750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/12 - 733*o**3\/6 + 3271*o**2 - 2*o - 1409. Differentiate s(b) with respect to b.\nAnswer: 2*b - 733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197731637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 1 - y**4 + 2 + 2*y**2 + 2*y**2 in the form o*y**4 + m + w*y**2 + r*y + v*y**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -206*q + 956 + 4426 + 1043 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 - 6145\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/13 - 3278658*m**4\/13 + 2269832*m**3 - 91801992*m**2\/13 + 118031072*m\/13 - 52458240\/13 = 0.\nAnswer: 1, 2, 4, 1639320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-63)*(-3)\/((-18)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Let l be d(-1). Let s(v) = 3*v**2 - 1. Let j be s(l). Suppose 5*m - 9 = j. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 42*a - 10. Let d be n(18). Let t = 1090 + d. Let x = 1 + -0.89. Put x, -3, t in descending order.\nAnswer: x, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1908384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5570 divided by 8.\nAnswer: -2785\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 + sqrt(432) + 4 + -2)**2 - (sqrt(1800)*1)\/(sqrt(72)\/sqrt(3)).\nAnswer: 43*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46994*f**2*z + 5*f*z + 2*f - 230*z wrt f?\nAnswer: 93988*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 10*z - 11. Let g be q(-9). Let a be (-1)\/2*(1 + 1). Is a\/g - (-210)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 + 2985*y**3 - 329210*y**2 - 350040*y + 1992960 = 0. What is y?\nAnswer: -692, -3, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/35388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-684))\/((-2)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3734846 to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2\/13 - 77852*s\/13 = 0.\nAnswer: 0, 38926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**3 - 9*n**2 - 41*n + 5. Let y be 39\/91 + 5\/((-105)\/198). Let z(c) = 4*c**3 - 2*c**2 - 10*c + 1. Determine y*z(u) + 2*x(u).\nAnswer: -2*u**3 + 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 605*b**2*n**3 + 2*b**2*n + 34*b**2 - b*n - 79*n**3 - 25*n**2 - 2 wrt b.\nAnswer: 1210*b*n**3 + 4*b*n + 68*b - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in 4\/3, 0.3, -10\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 8*v**2 - 8*v - 12. Let h be m(-9). Let z = 43 + h. Calculate the least common multiple of z and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 z when four letters picked without replacement from {f: 2, p: 2, x: 1, z: 2, c: 13}?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and 7136780?\nAnswer: 7136770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let d(o) = -3*o + 5*o + 4*o - 7*o. Give b(i) + d(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/312*-13*0. Let a(i) be the second derivative of 2\/3*i**4 + 0 + 0*i**3 + 3*i - 1\/5*i**5 + g*i**2. Find y, given that a(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -23. Let b(q) = 2*q**3 + 18*q**2 + 12*q + 8. Find the common denominator of b(-8) and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w - 4. Suppose w = p - 0*p. Let t be ((-10)\/3)\/(p\/(-48)). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3 + 101\/4*i**4 + 26 + 1\/2*i**2 + 0*i. Find the third derivative of t(p) wrt p.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 14. Let q(x) = -51*x + 97. Let w be q(2). Determine l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*v + 2*v - 138 = 0, 0 = -m + 4*v - 26. Is m less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*h + 98 = r, -5*r = h - 154. Suppose 0 = -13*y + r + 34. Solve -5*i + 0 - y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5711*y - 5700*y - 28 - 12, -4*w + y - 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55274*l - 10 = 2*y - 55278*l, 2*y - 5*l = -7 - 6 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 - g + 7 + 5*g**2 - 3*g. Let j be i(-5). Suppose 0 = j*d - 9 + 3. Solve -d*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8818.\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -258990, -258798, -258480, -258036, -257466, -256770, -255948?\n\"Answer: 63*h**2 + 3*h - 259056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 305. Let i(p) = -2403*p - 38396. Let g be i(-16). What is the highest common divisor of w and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:38 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, 5, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplvivtlpllplpl. Give prob of picking 1 l and 1 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m - 1290 = -5*u, -5*u + 1290 = -m. Suppose h = 7*h - u. Calculate the remainder when h is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 - 380*j**2\/9 - 386*j\/9 + 764\/9.\nAnswer: 2*(j - 191)*(j - 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(2*sqrt(204) + sqrt(204)) + sqrt(204) + sqrt(204) + sqrt(204)*1*5 + sqrt(204))\/(-6*sqrt(132)\/(sqrt(11)*3)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i + 3*i**2 + 1\/24*i**4 + 0*i**3 + 0. Let t(q) = -6*q. Calculate t(a(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Suppose y - 22 = -4*o, 0 = -3*y + 2*o + 2*o - 14. Let r(s) = -75*s**3 + 76*s**3 - 1 + y. Let v(a) = -6*a**3 - a - 1. Determine d*v(b) - 3*r(b).\nAnswer: 3*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Calculate the smallest common multiple of 11 and (3 - -3)\/(3\/d).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13445290*p + 14741741 wrt p.\nAnswer: -13445290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.84 to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236*d*w**3 - 127*d*w - 883*d - 10*w**3 - 43*w**2 - 1 wrt w.\nAnswer: 1416*d*w - 60*w - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198228224?\nAnswer: 2, 29, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*m - m = -196, 5*v - 2*m = 308. Let x(p) = p**3 + 11*p**2 + 9*p + 20. Let i be x(-10). What is the highest common divisor of i and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 765 - 1794. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 9*b - 3*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 850.09898846.\nAnswer: 849.09898846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -21. Suppose -3*f = -v - 21. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.692 times 0.04\nAnswer: 0.02768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2845, -5691, -8537, -11383?\nAnswer: -14229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - 6*r)*(-31*r + 3*r - 192 + 29*r).\nAnswer: -4*r**2 + 768*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 176\/3 + 4\/(-6). Let a = b - 20. Factor 3 + 2*p - 133*p**3 - a*p - 75*p**3 + 144*p**2 + 16*p**3.\nAnswer: -3*(4*p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 179293*j + 358586. Calculate s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*q - 14 = -4, 5*q + 10 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 300729.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 - 2034*v**4 - 39140*v**3 - 235760*v**2 - 463872*v - 265216 = 0.\nAnswer: -8, -2, -1, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8078, -8171, -8264?\n\"Answer: -93*q - 7985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let u = 0 + 6. Suppose 0*j = 3*j - u. Let g(c) = 0*c**2 - j*c**2 + 3*c**2. Determine b(g(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 330.857 times -122\nAnswer: -40364.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82\/175 - 1\/25. Let j = 54106\/3 - 18036. What is the nearest to j in 5, 0.2, n, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -69450329?\nAnswer: 2\/69450329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s + 12*s**2 - 2*s + 1 + 0*s**2. What are the prime factors of u(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.9637 litres to millilitres.\nAnswer: 239963.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 61*w + 12. What is the remainder when n(1) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14*t**(-3))**(-1\/21) assuming t is positive.\nAnswer: t**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y - 18. Let n(k) = k - 1. Let f(h) = 90*n(h) - 5*r(h). Let a(w) = 16 - 2*w - 6 - 6 - 4. Determine a(f(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.77 + -5.7713316. Round c to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -5, 5, 4, 146, -10 in decreasing order.\nAnswer: 146, 5, 4, 2, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**6\/120 - k**5\/6 + k**3 - 3*k**2. Let u be f(10). Is u > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 20 + -18 + (-2 - -7) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-3))\/((-50)\/1200) - 3)\/(2\/(-6)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30 and -39\/76?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1 + t**3 + 263471*t**2 + 69*t - 1 - 263492*t**2 + 0. Calculate c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*3\/(-24))\/((-13)\/(-78)). What is the second derivative of g**4 + 22*g**3 - 14*g**l - 130*g + 22*g**3 wrt g?\nAnswer: 12*g**2 + 180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -189, -243, -255, -213, -105, 81, 357?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2\/12*(-10)\/15. Which is the smallest value? (a) 5 (b) p (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-8 - (-5 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4423335.\nAnswer: 3, 5, 7, 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 2*l - 16 = -23*k, 0 = -3*k + 4*l + 6. Calculate the remainder when (29 + k)*63\/21 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34715224 and 408.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 39*s. Let r(y) be the first derivative of -5*y**2\/2 + 250. What is v(r(z))?\nAnswer: -25*z**2 - 195*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 73 = 3*x, -x - b - 2*b = -1. What is the remainder when 1294 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 54, 82?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d. Let z(s) = 94*s**2 - 160*s**2 + 65*s**2. Let t be z(d). Solve 6 = -t*r - 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/87)\/(11121\/4407623)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Let a be (-4)\/18 - 108\/(-69). Let p = -36\/23 + a. Put v, -1, p in decreasing order.\nAnswer: v, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*h = 4575, 3*p - 609*h = -605*h - 2740. Which is smaller: p or -921?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 250 + 50 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 29*z + 110. Calculate p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8820, -17642, -26464?\nAnswer: -35286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-195)\/(3959280\/108)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**5\/2 - 63*j**4\/2 + 297*j**3\/2 - 417*j**2\/2 + 90*j = 0.\nAnswer: 0, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 114*i**2. Let m(d) = -17*d**2. What is f(m(y))?\nAnswer: 32946*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - -4.55. Let r = 0.25 - d. Let j = 2.4 + r. What is the second smallest value in 0.3, 0.05, j, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 12*m - 4*m**2 - 24*m + 12*m as k + x*m**2 + a*m and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67823 - -124020. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microsecond in nanoseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggqqgg. Give prob of picking 1 q and 2 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdppedpdpdeddd. What is prob of sequence dd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 59527 + 19939 + 19902 + 19686.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864231260 rounded to the nearest 1000000?\nAnswer: 1864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*g - g, 0 = 2*x + 2*g - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2189322 (base 11) to base 3.\nAnswer: -21012202210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nspnsspnsunnnrdundnd. What is prob of picking 3 d and 1 n?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -491, 0.066, -2?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 50*t - 2 + 3 + 31 in the form o*t + r and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1978.32 * -18.8.\nAnswer: -37192.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t = -3595 + 3839 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 6?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-7 - (-13 - -19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -56, -28, 30, 130, 284, 504, 802?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100 (base 2) in base 13?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251948455 divided by -12977.\nAnswer: 19415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1956967 to 2 dps.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 + i - 6. Let l be o(3). Let h(x) = x**2 - 15*x + 2. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 98 - 3. Let g = 1 + -10. Let m = g + v. What is the smallest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20598469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**4\/24 + u**3\/3 - 3*u**2 + 28. Suppose -21 = -2*r + 5*n, -3 = 5*n + 12. Calculate p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 2*i - 7*i + (1 + 2*i - 1)*(-5 + 1 + 5) + 0*i + i + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 72*d**2 - 554*d - 54. What is q(-79)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 49 = -28*x. Suppose -x = -4*r + 1. Solve 8*u + r = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9147.645 days to minutes.\nAnswer: 13172608.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3529*v**2 - 1175*v**3 + 3529*v**2 + 430 wrt v?\nAnswer: -3525*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614070146 to the power of 1\/2, to the nearest integer?\nAnswer: 40175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/3)*c**(-2\/5)\/c*c*(c**(1\/3))**(-2\/29)*(c*c**6*c*c**6*c)**(1\/14) assuming c is positive.\nAnswer: c**(14099\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 8*a**2 + 11*a. What is y(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (sqrt(2448)*-1 + sqrt(2448) - sqrt(2448)) + 1*sqrt(2448)*-2 + (-4*(sqrt(2448) + 1 + sqrt(2448) - sqrt(2448)) - (1 + sqrt(2448)*1))*2)**2.\nAnswer: 3432*sqrt(17) + 413833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/91 + 1150\/11011. Let j = o - 127\/363. Let k = -7 - -10. Which is the second biggest value? (a) 1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -505484.\nAnswer: -353838.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 4*p**2 - p + 2. What is the smallest common multiple of 3 + -6 + 5 + 2 and o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - t + 0*t = -14, 4*l + 2*t - 16 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1202 and -5\/67816239.\nAnswer: 135632478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93001, 372370, 837983, 1489840, 2327941?\n\"Answer: 93122*h**2 + 3*h - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/((-4)\/390). Let z(s) = -26*s + 26. Let r be z(-7). Suppose -u + r = 3*u. Calculate the highest common divisor of u and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 + 3297*m**2 + 93*m + 43810. Give w(-471).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42159181021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxx when three letters picked without replacement from {c: 1, x: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 713 + 66. Suppose -5*m - 14 = -g. Suppose 2*u = 4, 8*w - 3*u = 5*w + m. What is the remainder when w is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 - -132.2. Let m = -13.6 + c. Round m to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4252*10\/(-40). What is the greatest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p + 72175 = 72890 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08531 rounded to 4 dps?\nAnswer: 0.0853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/7))**(-38)*c*c\/(c\/(c*c**(-7\/2)))*c\/c**(9\/11) assuming c is positive.\nAnswer: c**(-1039\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(10\/7))**(-1) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7925660 to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.003, 1\/13, -0.5, -5\/24, -30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 x when four letters picked without replacement from yimimmiiymixiixmmxi?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995755221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1 (c) 0.5 (d) -10625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -768*k**6 - 2*k**4 - 33*k**3 - 144272*k**2 + 46 wrt k.\nAnswer: -92160*k**3 - 48*k - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 4\/2)\/(-1). Suppose i = 3*z - 7*z. Suppose 5*a - a = z. Is -1\/4 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3 + 7\/4*p**4 + 0 + 0*p**2 - 7\/10*p**6 + 3*p - 3\/10*p**5. Factor n(u).\nAnswer: -3*u*(u - 1)*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 3. Let f(m) = -3*m - 2. Let t(z) = -3*f(z) + 2*p(z). Let b(h) = -2*h. Let s = 5 + -4. What is s*b(j) + 3*t(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*m**5 - 13978*m**4 + 4405380*m**3 - 10212206*m**2 + 2915100*m = 0. What is m?\nAnswer: -3239\/4, 0, 1\/3, 2, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - 8. Let f = a - -2. Let s be (-5)\/(f\/(-4)) + 0. Solve -d + 15 = -2*r, -d - 5*r = -s*d + 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/3 - 7*i\/3 - 12.\nAnswer: (i - 4)*(4*i + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 855030\/(15\/3). What is w rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -206958, 0.24 in ascending order.\nAnswer: -206958, 0.24, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13080653017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -2106.8777?\nAnswer: 18961.8993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.16 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234127302 + 13*z**2 - 234127302.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68713.98 litres in millilitres?\nAnswer: 68713980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 15) in base 6?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.08 - -0.9. Let o = y - 8.9. Let k = o - 0.08000001. What is k rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:40 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8 + -2 + (12 - 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 638*x + x**2 - 122*x - 7*x**2 + 2 - 8*x**2 + 16*x**2 to the form p + h*x**2 + k*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-1530)\/9)\/(-17))\/(-66))\/((-10)\/24)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3)\/(s*(s*s**3\/s*s)\/s*s))\/((s*s*s\/s**(-4))\/(s*s**3)) assuming s is positive.\nAnswer: s**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 + 8*q + 2. Let t be f(8). Let i(k) = 23 + 32 + 3*k - k**3 - k**t - 2*k. Is i(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495839?\nAnswer: 3, 498613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-12))\/(1\/(-3)). What is the third biggest value in -4, 5, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-5 - -32 - (257 + -278)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y + 85*y + 2*y + 21*y)*(-2*y + y**2 + 2*y) in the form v*y**3 + u*y + c + j*y**2 and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k**2 + k**3 - 2 + 9605*k - 4804*k - 4802*k to w*k + n*k**2 + o*k**3 + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.7 - -54.7. What is the closest to 0 in 1\/3, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6235 and 2030.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dixuixxuuuuuwuwuidu. Give prob of sequence udui.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 + 0.4?\nAnswer: 217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11)*4 + sqrt(11))**2 + 6*sqrt(66)\/sqrt(6).\nAnswer: 56*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0*s**2 + 3*s**2 + (0*s - 2*s + 0*s)*(2*s + 0*s - s))*(s + 3*s - 3*s)*(11*s + 4*s - 7*s) + s**4 + 3*s**4 - 8*s**4.\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/66*900\/330.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 131.506 from 3.19.\nAnswer: -128.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 - -10?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-7 - -11) - 3. Solve -o + i*o + 19 = -4*t, 4*t + 3*o = -17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 4*a + 8, 2*z + 4 = 2*a. Suppose 4*q + q = z. Suppose -4*s + 2*f + 25 = -15, -40 = -3*s + 4*f. Solve 0 = 2*c + g - q*g - s, 0 = 5*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*3\/(-3))\/((-1)\/19). Let y = 45 + h. What is the first derivative of -28 + y*b - 40*b + 7*b wrt b?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631968223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + x = 5, -1233*x = 3*m - 1231*x + 30 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/165 - 101*h**5\/55 + 100*h**4\/33 + 202*h**3\/33 - 201*h**2\/11 - 1837*h - 2. What is g in n(g) = 0?\nAnswer: -1, 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124386499 times 0.1?\nAnswer: 12438649.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9980\/533 + -774\/41. What is the closest to -12 in h, 8, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let j(t) be the first derivative of -17*t**3\/3 + 3*t**2\/2 - 6. Let s(m) = 630*m**2 - 112*m. Let i(z) = -112*j(z) - 3*s(z). What is i(p(k))?\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 0*h**4 + 5*h**4)*(-2*h + h - h) - h**5 + h + 3*h - h.\nAnswer: -7*h**5 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18458 = -349*s + 388 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 543*u + 1111*u - 568*u - 5*u**2.\nAnswer: -5*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091190654 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/11 - 21442*r\/11 + 42892\/11 = 0. Calculate r.\nAnswer: -10723, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 35130\/833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x**5 + 556*x**4\/3 - 2564*x**3\/3 - 3436*x**2 - 11060*x\/3 - 3800\/3 = 0. Calculate x.\nAnswer: -10, -1, 95\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbrbbbbrb. Give prob of sequence rbr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -385.29.\nAnswer: 385.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 2*d**5 + 4*d**4 + (2 + 1 - 1)*(3*d**5 - 3*d**5 - 2*d**5) + 12*d**5 + 20*d**3 - 20*d**3 - 2*d**5 + 0*d + 0*d - 2*d**4 + d**5 + 2*d**4.\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -1.3 in descending order.\nAnswer: -0.4, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*y - 17 = 0, -2*y + y = 4*m + 104. Which is bigger: m or -26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 (base 6) in base 7?\nAnswer: -1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79965 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 - 0) + (9 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*t - 20*t**2 - 562*t.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4581289 and 4581289 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s - 14*s - y + 25, 2*y - 6 + 18 = 2*s + s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 988*v - 20189 - 559 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, -1, -5, 5\/2, -13\/3, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1729, 3512, 5321, 7156, 9017?\n\"Answer: 13*j**2 + 1744*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1290 * -413326.\nAnswer: -533190540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.205 - 1.25. Let l = n + -10.955. Let d = l + 11.4. Sort -2\/25, d, 4.\nAnswer: -2\/25, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 40 = 0. Let d be z\/(-6)*1785\/(-10). What is x in -14*x**4 + 361*x**3 - 160*x - 524*x**2 - 6 - d*x**4 - 993*x**3 - 10 = 0?\nAnswer: -1, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407302.\nAnswer: 2, 7, 47, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 914430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 20*m**2 - 86*m + 34. Determine z(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 1658*t + 125229. Give a(620).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -1.7.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1229 - -2?\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223215 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:13 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 16*b - 19*b + 3*b - 15*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20965991 a multiple of 1556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - (6 + -3)) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/21 - (0 - -3))*30\/(-380). What is the closest to -0.2 in -79, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19685, -77564, -173641, -307922, -480413, -691120, -940049, -1227206?\n\"Answer: -j**3 - 19093*j**2 - 593*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 9*p. Suppose 10 + 2 = 3*k. Let a be u(k). Suppose -a*b + 8 = -3*b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - -2. Suppose r = -3*b + 73. Let k be (-6)\/b - 56\/10. Let z(s) = -2*s**2 - 5*s + 6. Let u(x) = 4*x**2 + 9*x - 11. Determine k*u(n) - 11*z(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -10211001012202?\nAnswer: -10211001012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:47 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191138?\nAnswer: 2, 95569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1078 and 76028645?\nAnswer: 152057290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -32*y**2 + 6*y - 3. Let p(q) = -11*q**2 + 2*q - 1. Let x(f) = -6*j(f) + 17*p(f). What is the tens digit of x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 36. Suppose -5*o = -0*g + 4*g - 16, m = o. Suppose 5*h = l + l - 2599975, -g*l + 5*h = -5199975. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.6 (b) -7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/4 + 6379401*l\/2 - 13565585706267\/4.\nAnswer: -3*(l - 2126467)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 1.1. Let l(n) = 4*n + 14. Let b be l(-4). Sort s, b, 2 in decreasing order.\nAnswer: 2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 17*j**3 - 5*j**2 + 163*j + 329. Let g(t) = 27*t**3 - 8*t**2 + 245*t + 493. Let y(h) = 5*g(h) - 8*r(h). What is the derivative of y(o) wrt o?\nAnswer: -3*o**2 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5964.\nAnswer: 1\/1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/38*((-16)\/3)\/4. Put -3, g, -20 in decreasing order.\nAnswer: g, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.076 - 5\nAnswer: -6.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2819917?\nAnswer: 73, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (64\/6)\/2*(-30)\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (4 + -4 - -1). What is the highest common divisor of 5 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131476980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0 (c) -5\/3458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooxx when four letters picked without replacement from {x: 2, h: 1, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 746714, 746013, 745312, 744611, 743910, 743209?\n\"Answer: -701*g + 747415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3\/(-6) + (-5)\/(-2)). Let b be m\/(11\/22 + (-2)\/12). Let y(r) = 89*r**2 - r + 1. Is y(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11815 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -201, -332, -339, -162, 259?\n\"Answer: 10*j**3 + 2*j**2 - 207*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16509 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -4)\/(10\/597). Let t = 49 - -71. Let v = s + t. Put v, -0.5, 3 in descending order.\nAnswer: 3, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - p - 6 = 0, 4*m + 8 = -p + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2747950\nAnswer: 1\/2747950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 117*t = 1481 + 439 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -37337.9.\nAnswer: -37337.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 3*l + 27, -l - 12 = w. What are the prime factors of 39 + 2 + w\/3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90349964 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 34. Suppose -3*u + 27 - 15 = p. Let a(n) = -n. Let y(k) = -7*k. Let r(x) = u*a(x) - 2*y(x). Let q(l) = -3*l**2. What is r(q(z))?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 80. Let r = m - 10. Solve -o + 0*w = 5*w - 18, r*w - 12 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f - 8*f + 8*f**3 + 4*f**4 + 7*f**3 + f**4.\nAnswer: 5*f*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27936)\/1649 - 1*-17)*(0 + -2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*22\/616*-406.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 + 6 = -b, 0 = -5*b - 4*f + 12. Let y be (-13 - 10137\/(-806))\/((-2)\/(0 - -2)). Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsbl when four letters picked without replacement from {r: 2, b: 2, y: 5, l: 1, s: 4}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3. Let f(d) = 6*d**3. Suppose -2*p - 4*b = -2*b + 80, 0 = -2*p - 4*b - 82. Calculate p*l(j) + 6*f(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t + 1048 = 152 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -82*o + 3. Let j be p(-3). Suppose -3*m + j = 39. Is (-1 + -1)\/((-4)\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2410 and 5985235.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15081 * -171.\nAnswer: 2578851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 5. Let l(j) = 2*j - 6. Let c(o) = 3*l(o) + 4*w(o). What is the derivative of c(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 j when three letters picked without replacement from rjrrrjjjrrrj?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h + h)*(3 - 2 + 0) + 8 + 3*h - 10*h**2 - 1 - 4*h.\nAnswer: -12*h**2 - h + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4 + 26 + 2*w**2 - 15*w**3 + 0 + 0 to j*w**2 + q*w**3 + f + y*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/11 less than or equal to -75221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8076286 and 1702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((1\/(-5))\/(-1)). Suppose -4 = 27*s - 29*s. Put s, o, -2 in increasing order.\nAnswer: o, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 29*m**2. Let t(j) = 7685*j + 17. Give t(v(i)).\nAnswer: 222865*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let z(x) be the second derivative of x**3\/6 + 3*x. Let r(u) = -2*u. Let m(d) = r(d) + 3*z(d). Determine i(m(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15803 divided by -1\nAnswer: 15803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25023, 4, 18 in descending order.\nAnswer: 18, 4, -25023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -816*l*s**6 - 13*l*s**3 + 81295*l*s - 6*s**4 + 2*s**2 wrt s?\nAnswer: -97920*l*s**3 - 78*l - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93335 or 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 8:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 22*q**2 - 82*q + 478. Let i be d(-13). Solve -3*g = -2*x - 13, 32 - i = 3*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153195 + 223046. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7282384 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 892375313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52885*i**2 - 13247*i**2 - 13240*i**2 - 13219*i**2 - 13216*i**2.\nAnswer: -37*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -16. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 - 21*b**2 - 14*b**3 + 21*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2579*k - 6787. Determine o(-3).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-4\/15) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36624593 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 0.1, -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = z - 10, -z + 4 - 1 = -2*q. Let c be 8*(q + 2\/(-8)). Let p = c + -8. Which is bigger: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1133 divide 119872533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**8\/84 + x**6\/10 - 2*x**5\/15 - 15*x**2\/2 + 13. Let l(s) be the second derivative of r(s). What is v in l(v) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3 (c) 2.868 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l - 54. Let d be 6836\/l + 6\/27. Suppose b + 190 = 2*q, 2*q + 2*q + b = d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 27083525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.1 or 16?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**3 - 21*y**2 - 9*y + 4. Let b(c) = 9*c**3 + 41*c**2 + 19*c - 8. Let h(p) = -6*b(p) - 11*v(p). Let d be h(16). Is 11 a factor of 3\/(-4) + 1735\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-15) - -2) + 12\/(-20). Suppose 0 = b*z - 5*z + 15. Suppose 3*d + 4*p - 258 = 0, d - 91 = 2*p - z*p. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (6 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 greater than 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*m - 12*m = 348*m - 149766. Calculate the remainder when 1976 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -10*k + 525. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228422 divided by 631.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 9:17 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let k be d(5). Let g(z) = z**2 - 8*z - 33. Let c be g(-3). Solve k*a - 3*n + 6*n - 40 = 0, -n + 5 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -581\/764 - -2\/191. Let h = 0.07 - 1.07. Let n = 0.8 + h. Which is the third biggest value? (a) s (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 11 + -7 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 2 (b) 0.4 (c) 6\/13 (d) -58.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Suppose 3*y - 20 = -4*k + 1, 0 = -3*y + 3*k + 21. Let w = y - 7. Is w at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1412164 and 663.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 26149600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24993016.82 to the nearest ten thousand.\nAnswer: -24990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h - 20. Let n(f) = -f + 13. Let a be n(6). Let d(v) = -11*v**3 + 4*v**2 + 4. Let z(w) = -6*w**3 + 2*w**2 + 2. Determine a*z(q) + h*d(q).\nAnswer: 2*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57626908 divided by 778742?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133973944 = -5*t - 42973944. What is t rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138.838 - 139. Let z = 0.16199958 + p. What is z rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -1910 in descending order.\nAnswer: 9, -1, -1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461276.\nAnswer: 2, 23, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.3, -0.4, -129, -3, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 11 - 29)*(138 - 138 - 10*m).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -b - 7*k, -5*k - 11 = -2*b. Let c = 58 + -35. Solve 4*t = b*l, -c = t - 0*t + 5*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108 - 2*j**3 - j + 4*j**3 - 67*j**2 - 2*j**3 - 41 + j**3.\nAnswer: (j - 67)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26*(1 - 3\/2) - 7. Let n(x) = -x**3 - 22*x**2 - 41*x + 7. Determine n(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 2 o when four letters picked without replacement from dddodzoo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -1 + 2 + 86. Calculate the remainder when 8 is divided by h\/15 - 12\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) + 3 + (-10 - (-143)\/22). Sort w, -4\/11, 8\/9, 2.\nAnswer: w, -4\/11, 8\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20967788*f**2 + 76014254 wrt f?\nAnswer: 41935576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -4 - -11) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088315 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2 - 14286*v - 301329 = 0.\nAnswer: -21, 4783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 571, 572, 573, 574, 575, 576?\n\"Answer: q + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108870 and 24.5.\nAnswer: -2667315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 482 and 34?\nAnswer: 8194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ac73 (base 14) in base 5?\nAnswer: 11403400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21445*h - 22201*h + 41355*h to the form j + f*h and give f.\nAnswer: 40599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77) - -1*sqrt(77)) + sqrt(77)))*-2*6*-1)\/(sqrt(35)\/sqrt(80) - (sqrt(448) - sqrt(448)*1)).\nAnswer: -144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26742657 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 + -12 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7603849427.\nAnswer: 23, 1481, 223229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + 34?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -2028797569415.\nAnswer: -2028797569415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 7. Let u be 6*-1 + 1 + -2. Let q be b(u). Suppose 4*l - 168 = -q*k - 4*k, -3*k + 32 = l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6785 + 26967\/4. Let k = -43 - h. Factor k*q**3 + 1\/2 + q**2 + 5\/4*q.\nAnswer: (q + 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9955315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 4, k: 1, y: 1}. Give prob of sequence lu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103, 99, 93, 85?\n\"Answer: -i**2 - i + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2008462 is divided by 665.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 42*d + 24. Calculate the least common multiple of 10 and p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let r = 16533 - 16528. What is the closest to o in 0.2, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1 - 20\/(-6)). Let d(o) = 5*o - 5. Let i(h) = -6*h + 6. Let p(n) = w*d(n) - 6*i(n). Let s be p(8). Solve -s*j + 12 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b - 1. Let q be 4\/(-8)*(-72)\/(-3). What are the prime factors of l(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 4:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(108)\/sqrt(4))\/sqrt(9))**2 - ((1 + sqrt(3) + sqrt(3))**2*-1 - sqrt(3))).\nAnswer: 5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7969672 less than 1245?\nAnswer: 7970917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcxcczz. What is prob of picking 3 c and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/15)\/(7\/5). Let w = -0.8 + 0.3. Let m = -15 + 11. What is the biggest value in m, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2460 and 6.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Suppose 12 = 6*r - 18. Let v(x) = x**2 - 9*x + 27. What is the smallest common multiple of v(r) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 7*f**6\/180 - f**5\/60 + f**3\/2 + 2*f. Let r(d) be the second derivative of y(d). Let z be r(-2). Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616, -614, -598, -562, -500, -406?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225771 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-6) + 12254\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5725 or -5686?\nAnswer: -5725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = 3*k + 10, 0 = 4*g + 2*k - 4. Suppose i - 2*i = -g*q - 10, -i + 20 = -4*q. Does i = -3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16252 + 8743. Let d be b\/(-4) - (-6)\/(-24). Let z = d - 1138. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. What is the third derivative of 2*v + 14*v**6 - 6*v - 8*v**2 + n*v wrt v?\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1099.\nAnswer: -4\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.1, 5\/3, -7\/6, -5.08, -3\/10 in decreasing order.\nAnswer: 4.1, 5\/3, -3\/10, -7\/6, -5.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82728620 to the power of 1\/2, to the nearest integer?\nAnswer: 9096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39178359 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/(27\/54).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 88*q**2 - 1820*q - 1224. Give l(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 29030 = 5174. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -21*h + 97. Let v be o(5). Let a be (-16 - -12)*4\/v. Solve -4*r - r + 25 = 0, 3*j + a*r - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 1824 - 68388. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836390 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 772*r - 154. What is v(1)?\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73257, 73297, 73401, 73599, 73921?\n\"Answer: 5*i**3 + 2*i**2 - i + 73251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 38 + d - 2*d)*(197 + 268 - 97).\nAnswer: -368*d + 2208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - p**2)*(2*p**3 - p**3 + 0*p**3 + (4*p - 2*p + 0*p)*(2*p - 2*p - 2*p**2) - 21 + 17*p**3 + 21) + (p**3 + 0*p**3 - 3*p**3)*(-12*p + 2*p**2 + 12*p).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16591)\/(-15))\/(1\/(-3)). Let h = -3337 - x. Let v = h - -648\/35. Which is the third smallest value? (a) 0.1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202035 + 14?\nAnswer: -202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2617*z + 7549 = -2598*z - 7404. Which is smaller: z or 786?\nAnswer: 786","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6951?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 18. Let o(y) be the second derivative of y**5\/60 - y**3\/6 - y**2\/2 - 19*y. Let z(j) be the second derivative of o(j). Give d(z(m)).\nAnswer: -2*m + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -19 + 7, 3623 = 5*x + 3*w. What are the prime factors of x?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from tlmtlyczzmmz.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/8, 15477 in increasing order.\nAnswer: 3\/8, 3, 15477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/351 and -35\/27?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 27*y + 78. What is u(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - v - 1 = 4*v, -4*i + 20 = -4*v. Suppose -i*j - 12 = 0, -5*l + j = -7*l + 682. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f - 9. Calculate p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5da5ad (base 14) to base 13\nAnswer: -888414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 4*a + 8. Suppose -2*k - a = -8. Suppose -99 = -5*p - 2*i, 0 = -5*i - k - 12. 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: Does 15 divide 4086276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -90*d + 239. Let n(f) = 2*f**2 + 8*f. Determine n(t(p)).\nAnswer: 16200*p**2 - 86760*p + 116154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 14 = 168. Is f less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3317 + -3398 + (-10947)\/(-135).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*w - 49*w - 90*w.\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -4.927365.\nAnswer: 1.4782095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**2. Let j(t) = -3*t**2. Determine j(p(w)).\nAnswer: -243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2795628211 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Let z(b) be the third derivative of -1\/60*b**q + 0*b + 0 - 1\/24*b**4 + 0*b**3 + 0*b**5 + 2*b**2. What is the second derivative of z(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-855)\/(-1710))\/(44\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936928 and 1748.\nAnswer: 936928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51668 + -47947799\/928. Find the common denominator of 1\/812 and u.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 188672 divided by 47168\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565277.\nAnswer: 3, 7, 19, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*w + 3, -3*l + 2*w = -3 - 12. Suppose l*h + 102 = 2*a, -4*a + 290 = 3*h + 50. Calculate the remainder when a is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1001744313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -32 in decreasing order.\nAnswer: 9, 3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -906, -905, -904, -903?\n\"Answer: s - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/244)*(-855)\/68970. Do -1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 79 = -2*b, -6*b + 104 = 4*o - 3*b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/20)\/(22\/(1760\/(-20)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 207 - 97 - 106 + (-2*z - 2*z - 3*z)*(-3 + 4 + 1).\nAnswer: -11*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4239 and 71121?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -10. Let y = 23 + b. What is the derivative of -4 - 2 - y + 4*k**4 - 2*k**4 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 33*j**2 - 4 - 1723*j + 1707*j - 93*j**2 + 56*j**2 + 4. Let t(m) = m + m - 3*m. Determine t(k(h)).\nAnswer: 4*h**2 + 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1556350083 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.6635 - -0.0365. Let y = 29 - i. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19378, 19380, 19382, 19384?\nAnswer: 19386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49281048 divided by 6\nAnswer: 8213508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 12. Let d be v(-8). Let k(x) = x**2 + 33*x - 67. Let o be k(-35). What is the third biggest value in 5\/2, 2, o, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5053, 1, 2, -5 in decreasing order.\nAnswer: 5053, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from fffpfp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113154674.\nAnswer: 2, 307, 184291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m + 9. Give o(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9 + 350\/21. Find the third derivative of 2*t**6 + 14*t**6 + 2*t**6 + s*t**2 wrt t.\nAnswer: 2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -68.5, 5, -1\/7?\nAnswer: -68.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 273, 10*b - 6*b = 2*i - 111 - 30 - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.384137um?\nAnswer: 0.000384137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/((35\/140)\/((-2)\/12)) - 2. Put 64, m, -7 in ascending order.\nAnswer: -7, m, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2\/13 + 19985374*i\/13 - 7994148\/13.\nAnswer: -2*(i - 1998537)*(5*i - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/(-86) + (664\/16 - 8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -711100 divided by 2735?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (14 + -2) - (-2 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -169 (c) 42.609 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:33 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfgn when four letters picked without replacement from noffofnogooniofofgnf.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from {l: 3, k: 1, d: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*w + 331 = 8*w, 0 = -x - 2*w + 331. Let n = 329 - x. Sort n, -7, 0, -5 in increasing order.\nAnswer: -7, -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776743 a multiple of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69145739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i)\/i**(-2\/9))**(1\/24) assuming i is positive.\nAnswer: i**(11\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -25. Suppose 3*g = -3*g + r. What is the greatest common divisor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/(-198) + 0 + (-308)\/693?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 201 - 68)*(108*s**2 + 1470*s - 1470*s)*(-3 + 3 + s) to the form o*s + p*s**3 + r + u*s**2 and give p.\nAnswer: 11880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109086 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-120))\/(((-84)\/14)\/(-6)*(-22)\/44).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 37 = -83. Let p be (-20)\/q*3\/2. What is the second derivative of -p*y + 3*y + 25*y**5 + 8*y wrt y?\nAnswer: 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (4543632\/(-648))\/139?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 20*y - 17. Let w be x(-21). Suppose -w = 5*h + 4*k, h + 5 = k - 6*k. Suppose h = 4*n - 5*n. Solve 2*b - 4*b + 6 = n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19549 - 19549.1. Let c be 2\/(-1) - (1 + 1). What is the nearest to s in c, 3, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lnlnlnnnlllll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0061 + -0.9939. Sort -8, d, -4, -6 in decreasing order.\nAnswer: d, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 28380*r**2 - 13416*r - 6708. Let b(h) = 4*h**2 - 2*h - 1. Give 13416*b(t) - 2*o(t).\nAnswer: -3096*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15.04*-8.7412\nAnswer: 131.467648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -0*m + d - 1, -2*m - 4*d = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 375, 351, 329, 315, 315, 335, 381?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.61 + 24. Round r to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14288928*a**2 - 14288883*a**2 + a**3 + 28577811*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3508 + -3514. Sort a, -5, 3, -4 in ascending order.\nAnswer: a, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/7492 and -7\/185.\nAnswer: 1386020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-10))\/((-21)\/(-70)). Suppose -2*x = -m*x + 1746. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*b = -1568, 0 = 4*m - 7*m + b + 2372. Calculate the remainder when m is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108.2 + 112.2. Let r be (-33)\/9 - 4\/(-6). Put s, r, 6 in increasing order.\nAnswer: r, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1054*f**2 + 2*f - 1. Let i be t(1). Suppose 3*x + z = i, 2*z = -x - 3*z + 375. What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -36. Which is smaller: -15 or c?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - 0) + 26 + -26\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17163, -34332, -51505, -68682, -85863?\n\"Answer: -2*u**2 - 17163*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 4\/(-1)*(105 + -107)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4763795 is divided by 207114?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066138303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*r**2*w*z**2 + 9*r**2*w*z + 13*r**2*z**3 + 6309*r*w*z**3 + 10*r*w*z**2 wrt z.\nAnswer: 78*r**2 + 37854*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3)\/((-4)\/(-8)). Suppose -a*t + 8 = 0, 4*w + 0*t - 28 = 5*t. What is the lowest common multiple of w and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -350859 - 1?\nAnswer: -350860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/(-64)*168\/60?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18673\/(-13413) - ((-12)\/(-10))\/((-90)\/100).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - (1076\/9)\/(-2). Find the common denominator of (-8)\/(-6) + (-371)\/o and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36665*m**3 - 2*m + 17580?\nAnswer: -109995*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4693\/91 + 8\/(-14). Let p = k + 15. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357 greater than -357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -374*a**3 + 4*a**2 + 12*a - 815. Let d(p) = 3*p**3 - p**2 - 2*p + 2. Let c(m) = 6*d(m) + f(m). Differentiate c(i) with respect to i.\nAnswer: -1068*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 73*c**5\/5 + 58*c**4\/3 + c**3\/6 - 13*c + 7. What is the third derivative of h(q) wrt q?\nAnswer: 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -7*u**6\/360 + 22*u**3\/3 - 21. Let d(q) be the third derivative of v(q). Let k(t) = 6*t**2. Determine k(d(j)).\nAnswer: 294*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojt when four letters picked without replacement from {o: 11, t: 1, j: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -45*w**2 + 6*w + 6. Let d(b) = -b**2 + b + 1. Determine -6*d(i) + y(i).\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1920059 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 4, -2\/11, 1\/3 in decreasing order.\nAnswer: 4, 0.7, 1\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, h: 3}. What is prob of sequence hyhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. Let g = f - 1. Suppose 0 = -3*p - 4*n + 4 - 3, 0 = -4*p - 5*n. Which is the smallest value? (a) p (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 12 + 8 = 0. Let r be (9\/h)\/(2\/40). Calculate the remainder when 35 is divided by 15\/2*(-54)\/r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 613589460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2663949296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90726 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1066*v**2 - 6 + 174*v**2 + 4.\nAnswer: -892*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47426986 divided by 1619.\nAnswer: 29294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 456*i\/7 - 12996\/7.\nAnswer: -4*(i + 57)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49\/(294\/4) - (-8)\/(-21). Let p = 0.08 + 3.95. Let h = p - 0.03. What is the second biggest value in h, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 527?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 716674*r**4 - 3099721*r**2 wrt r?\nAnswer: 17200176*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*1*sqrt(95)*-2)\/(sqrt(5) - 1*sqrt(320) - (sqrt(20) - sqrt(500)))*6.\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/(k\/k**(30\/11))*k)\/k)*k*k)**(-42)\/(((k**(-39)\/k)\/k*k)\/k**(2\/23)) assuming k is positive.\nAnswer: k**(-3382\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q + 2*y - 1 = 0, -3 = 2*q - y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391560.\nAnswer: 2, 5, 17, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 396\/165*(-2 + (-8)\/(-6)). Let v be (2\/5)\/(3\/(-15)). Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 + 14 + 1*-29. Let w = -17 - s. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5415660 is divided by 1494?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189648)\/2001840)\/(24\/(-10)).\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*c = -135, -5*c + 6*c + 516 - 249 - 240 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280 and 640.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13813 + -8012. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in 3, -0.5, -1\/11, 4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 + 196604*v\/3 - 4831641602.\nAnswer: -2*(v - 147453)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37108652, -37108659, -37108676, -37108709, -37108764, -37108847, -37108964, -37109121?\n\"Answer: -g**3 + g**2 - 3*g - 37108649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31110, 4, -4 in descending order.\nAnswer: 4, -4, -31110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtbb. Give prob of sequence bbtt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 + 1538243?\nAnswer: 1538163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4595160.\nAnswer: 2, 3, 5, 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 10 - -8) + (0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - -0.2. Let c = -0.94 + s. What is the second biggest value in -2, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14945 - -45867. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19656\/(-1638))\/(21\/(-154)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -16, -31, -50, -73, -100?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 29*n - 57 - 166 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14449965 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30 and 143\/3906.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7241*x - 42. Let r be l(6). Suppose -15*u + r - 2173404 = 0. What is u rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.8 + -31. Let h = v - 3.7. Is h at most 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*r - 12, 2*s + 55 - 62 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76206504203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/((-366)\/(-60) - 6). What is the units digit of 11 + (2\/(k\/(-6)) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Let y(j) = 10*j + 2. Let o(i) = -i + 1. Let p(b) = -2*o(b) + y(b). Calculate z(p(c)).\nAnswer: -432*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 8712.\nAnswer: 26136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 661008064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 167.93098?\nAnswer: -16.793098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.017 + -10.797. Let b = z - 0.22. Let h = -10.9 - b. Put -3, 2\/9, h in increasing order.\nAnswer: -3, h, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -30, -63, -110?\n\"Answer: -7*l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 0.86. Round z to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + a + 1. Let u be 6\/(-12) - 1\/(-2). Suppose u = 2*h + 1 - 7. Suppose 2*b + 16 = -4*m - 0*m, -4*b - m = -h. Determine d(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -96\/13, -2\/3, 4\/7, -1.7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3 + 2*u**2 - 125*u + 234 = 0. Calculate u.\nAnswer: -13, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*j**3*o - 2*c*j**2*o + 4*c*j - 6*c*o + 3*j**5 - 2*j*o wrt j?\nAnswer: 18*c*j*o - 4*c*o + 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239034 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19770 = -50*q + 54030. Suppose -3*l = -0*l - z - 25, -3*l + 29 = -2*z. Suppose 5*m - q = -l*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1986\/24825*20\/(-6)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10570? (a) 5 (b) -4\/33 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2956 + -1220. Suppose 904 = 22*u - g. What is the highest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-126)*(-9)\/30)\/(27\/36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -122. Let h be 2\/60*t\/(63\/4). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 419840 and 410000?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 2*w, -3*w + 14 = -u - 0*u. Let k be w\/(-9) - 22\/12. Let o be 9\/2*-5*(-36)\/2835. Which is the nearest to -0.1? (a) k (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*v - 1 - 3, -5*y = 5*v - 15. Solve -3*c + y*c = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h**3 + 5*h**2 - 9*h - 9. Let f(p) = 7*p**3 - 3*p**2 + 4*p + 4. Give 9*f(g) + 4*u(g).\nAnswer: 11*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7908271, -31633090, -71174457, -126532372?\nAnswer: -197706835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.223 + 494.223. Let r = b - 340. Let s = r + -152.999901. What is s rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 114, -1, -2 in descending order.\nAnswer: 114, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/360 - n**5\/60 + n**4\/24 - 5*n**3\/6 + 2*n**2. Let z(o) be the first derivative of a(o). Factor z(g).\nAnswer: (g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 7044184879?\nAnswer: -7044184883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w**(-5))\/(w*w**(4\/11)\/w*w\/(w**(2\/7)*w)*w) assuming w is positive.\nAnswer: w**(-776\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 428.92 - 422. Let u = 7 - p. Let n = -0.28 + u. Sort n, -3\/8, 1\/4 in ascending order.\nAnswer: -3\/8, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-5 - -4 - 2) + -5 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/(-5)*(-312330)\/(-116)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1624583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10855 - 2245*z - 10855.\nAnswer: -2245*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -8*g - 11304. Let q be (g\/(-10))\/(15\/(-50)). Is 4\/((-32)\/q) - 1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 + 6 - (-1 + 22)) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 - 9\/(-4). Suppose -2*q - 7*i + 12 = -h*i, i - 9 = -2*q. Solve -q*b + 12 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 170*j + 170. Let r(z) = -8*z + 37. Let w be r(4). Let i(v) = 56*v + 57. Let a(c) = w*m(c) - 16*i(c). Differentiate a(g) wrt g.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(1\/6)))**(-13\/5))**(7\/5) assuming c is positive.\nAnswer: c**(91\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.32, -0.2, -10\/3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w\/(w\/(w**(-1\/2)\/w*w)))\/w)\/w**(-6\/13))\/(w\/(w**(-12)\/w)*w**7) assuming w is positive.\nAnswer: w**(-521\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31221 - -33?\nAnswer: -31133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26280, -52568, -78868, -105186, -131528, -157900?\n\"Answer: -h**3 - 26281*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j + 14. Give f(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12038 is divided by 1496?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 899, 0.3, -31.45 in ascending order.\nAnswer: -31.45, 0.3, 899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 153 = -2*u. Let t(s) = 2*s**2 - 33*s + 14. What is the units digit of t(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 + 0 - (15 + -53 + 30)) - -113\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q\/(q*q*q**(1\/10))*q)\/((q**(-8)*q*q)\/q**(2\/5)))\/((q**(-1\/2))**(-47))**(7\/2) assuming q is positive.\nAnswer: q**(-1479\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:24 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 875*j + 31225 - 7600 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 2*z + 6*z - 7*z to q*z + c and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 12 - 24 - 97*b.\nAnswer: -97*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4661641*b**2 - 161447. Let a(l) = 2252*l**2 - 78. Let q(r) = -12419*a(r) + 6*n(r). Let v(u) = 2*u. What is q(v(g))?\nAnswer: 9032*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5790 and 5.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - 2*z**5\/15 - z**3\/6 - 2*z**2. Let i be m(8). What is the units digit of (1\/((-4)\/52))\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)*a*a)\/(a**(-3\/5)\/a))**(1\/7) assuming a is positive.\nAnswer: a**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 7 - 3 - c**3 + 0*c**2 + 0*c**2. Let v be r(0). What is the tens digit of (-1704)\/(-108) - v\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b13 - 1b?\nAnswer: 9af8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -531*h**2 - 10*h + 13. Let w be x(3). What is the remainder when -1*3\/9 - w\/33 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -138*w - 3718. Determine l(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.04 + 0.61. Let k = 32.77 - y. Round k to 0 decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 22250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/4, -7 in ascending order.\nAnswer: -7, -5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -80. Let j be (-4)\/(-6)*81\/(-36). What is the nearest to b in 3, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35)\/(7\/(2450\/20)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -620, 2\/5, 0.1, -0.07 in decreasing order.\nAnswer: 2\/5, 1\/8, 0.1, -0.07, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and -37\/1256492.\nAnswer: 2512984","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**9)**(2\/7) assuming b is positive.\nAnswer: b**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/10158474251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 15280860.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2. Suppose 0 = -2*q - 4*v + 12, q + 2*v - 4 = v. Suppose -4*s = -q*s. Let r(c) = -9*c + s*c + c + 6*c. Calculate r(w(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**4 + 9*r**3 + 56*r**2 + 20*r + 5. Let w(c) = -c**4 - 4*c - 1. Let z(k) = -b(k) - 5*w(k). What is the third derivative of z(t) wrt t?\nAnswer: 360*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - 3*j + 3*j)*(-1346 - 962 + 150)*(-4*j + 3*j + 0*j) - 2*j**3 - 2*j**3 + j**3 as z*j**2 + p*j**3 + l*j + q and give p.\nAnswer: 4313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.8352837us to days.\nAnswer: 0.00000000021800096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 28. Differentiate -12*m**3 + 2*m**2 + 3*m**2 - 6 - 5*m**t with respect to m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*l + 7*l. Suppose -l*v - 6 = -t, -2*t - t - 5*v - 2 = 0. Solve 2*a = -7 + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2220000110121 (base 3) to base 2\nAnswer: 101110110111001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n. Let x(i) = 272*i + 3. Let f(t) = -3*t + 1. Let v(w) = 3*f(w) - x(w). Give v(c(q)).\nAnswer: -843*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8133.348us in nanoseconds?\nAnswer: 8133348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -16645?\nAnswer: -16653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 - 1400*l**3 - 20028*l**2 + 445592*l - 1549760 = 0. Calculate l.\nAnswer: -334, -29, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 8*y**2 + 2*y + 8. Determine v(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a70d6 - 3?\nAnswer: 13a70d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -116*g - 251 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1624*l + 1199*l**3 + 684*l**3 + 193*l wrt l?\nAnswer: 11298*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -5*y, p + 0*p - 5*y = -15. Put -1, 7, 3, p in ascending order.\nAnswer: p, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-40))\/((-6)\/8). Let j = -19\/22 - 7\/11. What is the third smallest value in v, 3, j, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 29*z - 34. Determine i(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3068967, 3, 2, -1 in ascending order.\nAnswer: -1, 0, 2, 3, 3068967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 4 - 10)*(2 - 2*z - 2) - 208*z + 220*z - 96*z.\nAnswer: -122*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + 0.1. Let f = -1.192 + -0.008. Let w = d + f. Put 3, w, 0.4 in descending order.\nAnswer: 3, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/2, -2\/81, 0.5, 3\/8, -0.3, 2432?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 214*c - 212*c + 10, 5*c = -4*i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4 - 44326*c**3 - c**2 - c + 6354 wrt c.\nAnswer: 24*c - 265956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18732491 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.3715.\nAnswer: -3.3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53 + 23.67. Let m = v + -11. What is m rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:59 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 17. Let i be x(8). Let u(f) = -f**2 - 13*f. Does 7 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -34*h + 7. Determine y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + 1. Let y be x(-2). Let l = -8 + y. Solve 3*t - l = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, 1, 5 in ascending order.\nAnswer: 1, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -83639982 divided by 6?\nAnswer: -13939997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11003001 (base 4) to base 3.\nAnswer: -1001100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216*v + 1196*v - 2410*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 431*u + 710*u - 8187 - 941 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157\/7 - -22. Let k(z) = -z**2 - 80*z - 300. Let v be k(-76). Which is the second smallest value? (a) 46 (b) i (c) v (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*g + 8. Let z be 278\/14 - g\/28. Solve 0 = -0*i - 5*i + z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-104)\/13 - (148318\/(-7) + (-62)\/(-217))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/7)*b*b)\/b)\/b*b\/b**(1\/8))\/(b**(-3)*b*b\/b**(-1\/3)) assuming b is positive.\nAnswer: b**(307\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 11*a**2 - 2*a. Let k(s) = s**2 + 6*s + 9. Let f be k(-6). Let g(t) = -2*t**3 + 5*t**2 + t. Calculate f*g(j) + 4*p(j).\nAnswer: -2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 3*i - 130 + 5*i - 3*i.\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/9 + 266*h**2\/3 + 2828*h + 13728 = 0.\nAnswer: -24, -6, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-4) - 2)*-4. Let j = -5 - g. Suppose 2*x + j = 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 5*l**2 + 5*l**2 - 17*l**2 in the form n*l**2 + g*l + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -936675 - -190975. Let j = c - -1280700. Round j to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let j(g) be the first derivative of g**4\/6 + g + 3. Let v(s) be the first derivative of j(s). Calculate v(u(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 1012 = 4. Let b = 112 - c. Is b at least as big as -2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:20 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (-2 - (14 - 4) - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24505717 - 8168576 - 8168570 - 3*k - 8168571.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4 + 8492*s**3 - 839419*s**2 + 20624590*s = 0.\nAnswer: -8590, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 376?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 63.6. Let a = 6.24 - 7.1. Let i = a + t. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/5, 0.3, 258?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14271828 from -0.5.\nAnswer: 14271827.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19146 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 2. Let w be q(7). Let m = w + -1. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 45 = -5*d + 3*i, -3*d - 7 = 5*i. Suppose -d*t = -34 + 4. Solve 3*h - 15 = t*w, h + 3 - 8 = 5*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t + 14 = 187*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16 - 5*g**2 - 4*g**2 - 21*g + 5*g + 8*g**2. Suppose 0 = 22*t - 5*t + 136. Is f(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410779 or 410777?\nAnswer: 410777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 971718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176) + 3)**2*-3.\nAnswer: -555 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -36*j**3 - 2*j**2 + j + 2. Suppose -3*q = -7 + 10. Is 5 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - -57. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdmmmkmdom. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 277, 1109, 2429, 4189, 6341, 8837, 11629?\n\"Answer: -8*f**3 + 292*f**2 + 12*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 1343, 4624, 11039, 21632, 37447?\nAnswer: 59528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294*(-33)\/891 - -11.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4451 divided by -89?\nAnswer: -4451\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/65 in -2\/7, -9, -3\/5, -8.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -30*g + 7 + 111\/2*g**2. What is the first derivative of i(b) wrt b?\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 56. Let c be n(-29). Suppose 6 = -c*m, -y = 3*y - m - 11. Solve -2*x + 2*l = -2, 3*l + 0*l = -y*x - 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52702228 divided by -267524?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/5 and (-1)\/(((-2296)\/(-91) - -6) + -3).\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19024 * -0.9.\nAnswer: 0.171216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335593343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41.9? (a) 39.5 (b) 1 (c) -6\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -15.2, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-3\/5)*j)*j**(-7) assuming j is positive.\nAnswer: j**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38399*l*t**2 + 3*l*t + 2227*l - t wrt t.\nAnswer: -76798*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/9 - -13\/9. Let f = -0.15598 + 635.05598. Let q = f - 635. What is the nearest to 1\/2 in q, -4, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**18)**(-1\/19)\/((y\/(y\/(y*((y\/((y**(-5\/9)\/y)\/y))\/y)\/y*y)*y))\/y**(-1\/20)) assuming y is positive.\nAnswer: y**(-649\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*p**3 - 5*j**2*p - 30*j*p - 745*p**2 - 12 wrt p?\nAnswer: -6*j**2*p - 1490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-61)\/(-2) + 7\/(-14). Suppose 10 = -5*a + k, -s - 5*a = -43. Let t = s + -20. Solve 4*y = -t*i + 24, 3*y + 0*i = -i + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 9. Let q be u(-5). Let h be (1 - -2) + q\/4. Suppose 28 - 8 = h*r. Sort 3, -5, r in decreasing order.\nAnswer: r, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:33 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 77?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 565 and 110.\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327618 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019206.3 rounded to the nearest 1000?\nAnswer: 1019000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 5469 + -5466. Calculate the greatest common divisor of 13 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 + 216.000095. What is i rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Let c be q(9). Let a = -4 - c. Suppose -h + 670 = a*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*c**3 + 159*c**3 - 10357 + 10357.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/((-240)\/34))\/(((-2278)\/(-544))\/(-67)) and -25\/11502.\nAnswer: 57510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + 10*v**2 + 35*v + 78. Let k be n(6). Suppose -12 = 3*g - 2*f, -2*g + 5*g + 3 = 5*f. Sort g, -1, 2, k in decreasing order.\nAnswer: 2, k, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in 57, 0, 1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.23 - -1.07. Let t = w + -6. Let u be (-6)\/(-9) - (-5)\/(-3). Which is the nearest to -2\/3? (a) t (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 31, 3, -687\/2, -34, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/2699 and -22\/3533.\nAnswer: 9535567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 238280?\nAnswer: 9\/238280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-162 - (-2 - -3)) + (-2)\/2. Let o = 235 + k. Suppose -3*x = s - o, -2*x - s = -5*s - 52. Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 12*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1782) + -6*sqrt(198))*4)\/(sqrt(1100)*-3*-2*1).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, d: 9, x: 4, k: 2}. Give prob of picking 2 x, 1 k, and 1 d.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33919 < 373125\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l - 24. Let x(q) = -76388*q**3 + 4*q**2 - 7*q + 6. Let t be x(l). Round t to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (-51 - (89 - 37) - -46).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 34. Let o = -16 - q. Suppose -8 + o = -6*n. What is the closest to n in -3, -4, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:08 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.235855 nanometers in kilometers?\nAnswer: 0.000000000001235855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -411, -494, -585, -684, -791, -906, -1029?\n\"Answer: -4*f**2 - 71*f - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1836 and 11833020.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 478 + -473. Which is the closest to 4? (a) -2 (b) u (c) 1 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*a + 5*f, -7 - 2 = -2*a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 240*l + 179*l - 312*l - 3317 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.505669909 to 5 dps.\nAnswer: 0.50567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155320 - 86441. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 19.1. Let t = 186869 - 186884.99888. Let l = t + o. Round l to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, 1, 0.6, -1\/3, -3.6 in decreasing order.\nAnswer: 1, 0.6, -1\/3, -3.6, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from przprzyzpppzpypzyzp. What is prob of picking 2 z?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b + 2*r + 5, r - 2 = 0. Let s be 15\/b + (-2)\/(-6). Suppose 1 = s*y - 3*y - 4*v, -4*v + 11 = 5*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3888 - -863\/3888. Put f, 0.18, 51, 0.9 in ascending order.\nAnswer: 0.18, f, 0.9, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.1, 27198, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let d(o) be the second derivative of -o + 0 + 0*o**2 - 1\/3*o**3. Suppose 0 = 594*u - 592*u + 10. Calculate u*a(y) + 4*d(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:34 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*i - 5*i = 479, -1207 = -5*z - 2*i. Let j = 3857\/16 - z. Is 1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(380\/(-48))*(-10)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -9631*c**3\/6 - 5581*c**2\/2 + 4234*c. What is the first derivative of x(t) wrt t?\nAnswer: -9631","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1732 - 61*s - 2*s**4 + 5*s**2 + 1731 - 6*s**2 to the form y + q*s + r*s**3 + w*s**2 + t*s**4 and give q.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37893?\nAnswer: 3, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -137375\/37, 0.2, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(-44)*-4. Let d = 0.04 - -0.02. Let s = -0.46 + d. Which is the biggest value? (a) 0.1 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/1136042462?\nAnswer: 1\/1136042462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxcm. What is prob of sequence cmc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2 + 3*z - 3. Let f be d(1). Solve -g - 5*q = 3*g - f, 2*g - 3*q = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*g - 17 = 0, -3*s = -0*g - 2*g - 25. Let y = 7 - s. Suppose y = r - 24 - 17. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6415\/6 - -1070. Let q(y) be the second derivative of -14*y + 0 - a*y**3 + 5\/4*y**4 + 0*y**2. Find d, given that q(d) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2.923854 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110 - 82 - (13 + -69 + 9)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + 4. Let f(d) = -7*d**3 - 2*d**2 + 12. Let h(v) = -v**3 + v**2 + 1. Let a(w) = f(w) - 5*h(w). Give 4*a(y) - 7*z(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11623 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1005 and -0.4.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 500?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27015 or -2?\nAnswer: 27015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 - 3 = 0. Factor -4*h + 2 + 2 + 0*h**g - 2 + 2*h**2.\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**(-1\/9)*v**13*v**(-2\/21) assuming v is positive.\nAnswer: v**(4072\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 - -310. Let z(x) = x**2 - 14*x + 8. What is z(f)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s + 45. Let y be (-3 + s)*1\/3. Let m = 1 + -2. Sort y, 1, m in increasing order.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 2*p)*(2 + 94*p + 87*p - 165*p).\nAnswer: -16*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t + 13*t - 17*t - 3*t**2 + (-3 + 3 - 6*t)*(3*t - 4*t + 0*t) + 3*t + t**2 - 3*t)*(-5*t + 3*t - 10*t).\nAnswer: -48*t**3 - 108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18*u. Let d = 95 - 139. Let l = -39 - d. Let g(j) = -5 + 2*j + 10 - l. Give g(o(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.921 + -0.003. Let j = -130.99 - -129.9. Let l = f + j. What is l rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 214*h**2 - 191*h + 3119. What is u(-213)?\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48.62162kg?\nAnswer: 48621.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18605\/6 - 3094. Find the common denominator of -61\/10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 5, 0.2, -919.5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*s**2 - 2 + 0*s**2 + 11*s**2 + s**3 to the form u + l*s + c*s**3 + o*s**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 36. Let q(a) = -76*a + 404. Determine 6*q(c) + 68*w(c).\nAnswer: 20*c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23872068*n**2 + 113372688.\nAnswer: 47744136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*f**2*j**2 - 2*f**2*l**2 - 2*f*j**2*l**2 - 3*f*j*l**2*q - 3*f*j*q - 2*j**2*q - j*l**2*q + 3 wrt j?\nAnswer: 40*f**2 - 4*f*l**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 18*a**2 - 19*a - 27. Suppose -1037 = 9*x + 20*x + 32*x. Calculate z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = 15. Let m(o) = o**3 + 5*o**2 - 9*o - 9. Calculate m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6965 and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043101325 rounded to 6 dps?\nAnswer: -0.00431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**2 - 6*r + 2. Let z(j) = 51*j**2 + 24*j - 9. Let h(a) = 9*n(a) + 2*z(a). What is the second derivative of h(q) wrt q?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*k - 5*u, 2*k - u = -3*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 510.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.5 + -66.5. Which is the closest to t? (a) 0 (b) 0.5 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 + r**4\/3 + r**3\/6 - 4*r. Let f be z(4). Solve -l = -3*b - f*l + 27, -b - 1 = -l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(9)\/sqrt(108) + 3*(sqrt(3) + 1*sqrt(3)))**2 - (5 + -1 + sqrt(243) + 2)**2).\nAnswer: -540*sqrt(3) - 9895\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 4, 0, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.63473895 rounded to 0 decimal places?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.26 - 18.96. Which is the second biggest value? (a) 0.1 (b) -1\/5 (c) q (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 - 10*o + 1. Suppose -4*d = 4*i + 16, -5*d + 20 = -3*i + 56. Is u(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a + 87. What is y(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -21*b**2 + 18 + 12*b - 4*b - 6*b + 0*b + b**3. Calculate the smallest common multiple of w(21) and 27.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 0 + sqrt(2299) + -5 - (((sqrt(2299) - (sqrt(2299) - (sqrt(2299) + sqrt(2299) + 0 + sqrt(2299)) - sqrt(2299))) + 1)**2 + sqrt(2299))) + 5.\nAnswer: -36785 - 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/65 + (-13483)\/(-79443).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3790975us?\nAnswer: 379.0975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12200111112 (base 3) in base 15?\nAnswer: 23252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1, -3, -4, -6158.\nAnswer: -6158, -4, -3, -1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*b - 163. Let o = 270 + -166. What is the highest common divisor of b and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let j be (-26)\/(-116)*-4 + 1. Let c = -37\/203 - j. What is the closest to x in c, 2, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x - 2*x + x - 3 + 3 + (2*x + 2*x - 5*x)*(2 - 2 + 1) - 5*x + 2*x + x + 0 + 0 + 2*x + 5*x + 0*x - 7*x)*(2*x - x**3 - 2*x).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -2453*a**7\/42 - 2437*a**3\/6 + 3949*a. What is the second derivative of q(j) wrt j?\nAnswer: -49060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 - 12*x - 6. Let o be p(-5). Suppose -o = -q - 5. Let h = -28 + q. Put 3, h, -10 in decreasing order.\nAnswer: 3, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 + (41 - (20 + (-23 - -26))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36730938*y**3 - 6*y**2 - 2*y - 406540 wrt y?\nAnswer: 220385628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*-339 - (-5 - -8). Let m = v - -225. Let x = -235\/4 - -59. Which is the closest to -0.1? (a) 5 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*p + 10 = 0, -r + 112 = -3*p + 99 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 8*v**2 - 2*v + 34. Let a be m(-14). Suppose 4*c = -3*g + a, 10*c - 13*c + 2*g + 2978 = 0. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110000100000 (base 2) to base 15\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**8\/224 + v**7\/70 + v**6\/80 - v**5\/20 - 39*v**2. Suppose s(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 353.236353581 from 5.\nAnswer: -348.236353581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439 - 190. Let k = -123 + r. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxb. Give prob of sequence xbxd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q**5\/9 + 34*q**4\/9 - 80*q**3\/9 - 136*q**2\/9 + 32*q\/3 = 0 for q.\nAnswer: -3, -2, 0, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -8 - 12. Suppose -5*r = s*q - 35, 6*q - q + r = 49. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 8*i + 1. Let j be k(-8). Let b = -25\/4 + 6. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612933, 1225867, 1838801, 2451735, 3064669, 3677603?\nAnswer: 4290537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*a - 48*a + 196*a - 59*a + (-4 + 4 + 1)*(-a + 3*a - a) + a + a - 4*a.\nAnswer: 73*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 7:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*t - 65, 9*t - 3*t + 3*j = 45 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 1265?\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 5 = -8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1\/2*-2). Suppose -4 = -0*l - 4*l. Let t = y + l. Which is smaller: t or -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 13 - (-3 + (-3 - -9) + 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.73 + 1.73. Which is the second biggest value? (a) g (b) -3 (c) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231071 or -9\/43?\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10543 + 3510133?\nAnswer: 3455150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68726892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (4*-2*sqrt(240) + sqrt(240) - sqrt(240)) + sqrt(240))\/(sqrt(84)\/sqrt(7)*4))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s - 165 = -3*g, -2*s - 3*g = -109. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130 (base 5) in base 12?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from {f: 3, r: 1, c: 4, l: 2, u: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 10. Let r(p) = 3*p - 7. Let w(h) = 7*r(h) + 6*z(h). Calculate w(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-14)*(0 - -4). Suppose 2*f - 3*f + 4 = 0. Which is the closest to -0.1? (a) -1 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2371 - 4?\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8342 - -8465. Calculate the remainder when 235 is divided by c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 12. Let u = 11.4 - s. Round u to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (10 + -14 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26 and -3.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4.1. Let g = -2.5 - j. Put 0.2, g, -1\/2 in ascending order.\nAnswer: -1\/2, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*s**3 - 306*s + 519*s - 216*s.\nAnswer: -66*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2133357 (base 10) to base 9.\nAnswer: 4011366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8))\/((-9)\/12). Let u(c) = 3*c - 2. Let b be u(d). Solve -b*h + h = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -1 + 0*l + 0*l**3 - l**2 - 1\/210*l**5 - 1\/21*l**4. Let x(n) be the second derivative of o(n). Determine d so that x(d) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23246231 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2201782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -747*b + 12960. Give z(17).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 55*q**3 + 155*q**2 - 105*q.\nAnswer: 5*q*(q - 7)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(11) - sqrt(11))*2 - (sqrt(132)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3712*o - 2 + 2 + 1587*o**3 + 1917*o + 1795*o.\nAnswer: 1587*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((12*21\/1260)\/(2\/(-4)))\/((-2)\/(-260))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44360298341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26375 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/2114 - -8521\/10570. Factor s*v**2 + 8\/5*v - 32\/5.\nAnswer: 4*(v - 2)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*-1*1\/2. Let o = -172939779420\/371 + 466145233. Let y = o - 275. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-4) - 9\/(-27)*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 2*c + 11. Let y be z(5). Let s be (y\/(-6))\/(176\/(-23256)). Let x = s - -88. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1\/2 (c) 0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2. Let r be 42\/4 + 1\/(-2). Let f be r\/(-35) - 60\/(-14). Let m(b) = 8*b - f*b - 7*b. Give m(y(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h - 3)*(14*h + 77 - 77).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/57 - (-154)\/(-6). Let z = 66 + o. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4) + 13 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 5*v**2 + 5. Let p be w(5). What is the closest to -2\/25 in 3, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 3. Let k(f) = f**3 - 5*f**2 - 5*f - 1. Let h be k(6). Let q be g(h). Put q, 1, -2 in descending order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-48)\/(-7)) + (-2805)\/(-680).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*v**2 + 21 - 20 - 32*v**3 + 34*v**3.\nAnswer: 2*v**3 + 276*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 6882*u**3 - u + 6194*u**3 - 19258*u**3 + 6189*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2 + 28300*k + 2587500 = 0.\nAnswer: -90, 5750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/189 and 41\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29\/7 - 1\/7 - 13. Let l = 37 + s. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 11*g - 2*g + 25 - 6*g. Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046*-0.28624.\nAnswer: 0.01316704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.401 in 0.5, -2, -1, 5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115404015217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**4 + 2592*x**2 + 2*x**4 - 2592*x**2)*(-21 + 116 + 17 - x).\nAnswer: 10*x**5 - 1120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 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: Round -0.00387325379 to 6 decimal places.\nAnswer: -0.003873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -29*n**3 - 2*n**2 + 1. Give z(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/3 - 62*w = 0.\nAnswer: 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.68118 and -2?\nAnswer: 9.68118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1978 = 35*l. Let h(x) = -x**2 + 11*x - 27. Calculate the lowest common multiple of l and h(6).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108080799 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 9*h + 2. What are the prime factors of u(-12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167 - 167 - 74*w)*(-3 + 5 - 1)*(-w + 1 - 1) to the form c + l*w + k*w**2 and give k.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -4*x, -5*z + 2*x = -3*x - 25. Suppose -175 = -z*n + 4*p, -22 - 48 = -2*n - 5*p. Suppose 0 = 5*y - n - 30. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 222*s**3 + 2*s**2 - 4*s. Let c be n(3). What is c rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17085ml in litres?\nAnswer: 0.00017085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.7 - 34. Sort 2\/39, -2, m in ascending order.\nAnswer: -2, m, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.42737*0.07\nAnswer: 0.8699159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -34. Let c = 19 - d. Suppose 5*z + 3*w - 228 = 0, -2*z = -c*z - 3*w + 93. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from rnnaihinriirhiiiini?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u - 13375 = -d, 3*u - 67015 = -5*d. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32288 times 0.1\nAnswer: 0.032288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 105. Determine o(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 6)*(-2*g - 3 + 3)*(4*g**4 - 5*g**4 + 2*g**4) + g**5 - 2*g**5 - 2*g**5.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 662\/13 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5600, 10159, 14718, 19277?\nAnswer: 23836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t, 8 = 2*q + t - 4*t. Suppose -2*x + 984 = -4*j, 0*x - 2018 = -q*x - 2*j. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218 times -0.4\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339 + 440. Let n(o) = 3*o**2 - 7*o - 1. Let i be n(8). Let k = c + i. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apkc when four letters picked without replacement from addkppdkckdpkkppkdkk?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111959013.\nAnswer: 3, 919, 40609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 19 - ((1 - (2 - -5)) + -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 113 = -0 + 4. Sort -5, -4, 1, 5, w in increasing order.\nAnswer: -5, -4, 1, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/15)))**(-9\/8) assuming l is positive.\nAnswer: l**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 64\/5 of a century?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*c - 4*c - 5*c.\nAnswer: -9*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 10028\/(-9)) + 2\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 10*w**2 + 5*w + 10. Let c be (-13)\/2 + (-4)\/(2 - -6). What is the tens digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5421.4 - 5432. Sort -2, -3, w, 2\/13 in descending order.\nAnswer: 2\/13, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 5*a + 0*a)*((1 - 1 - 2*a**3)*(-2 - 2*a + 2) + (0*a - 2*a + 4*a)*(-5*a**3 + 2*a**3 + a**3) + 5*a**2 - 5*a**2 + a**4).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let s(g) be the second derivative of -g**4\/6 - g**3\/2 - 11*g**2\/2 - 36*g. Let n(i) = 5*j(i) - s(i). Find m, given that n(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50\/103 - 2140\/1957. Is i smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 28*s**2 - 17*s - 267. Let m be j(27). Suppose 0 = -3*a - 5 + 20. Solve -m*w + a = 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and 87\/26596.\nAnswer: 79788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/(-120)*(24\/20)\/(4\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -367 - -33317. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7330.883 microseconds to nanoseconds.\nAnswer: 7330883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7972890 to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417685 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -3 in increasing order.\nAnswer: -20, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 376, -4.38, 2 in descending order.\nAnswer: 376, 2, 2\/5, -4.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**2 + 0*v**2 + 3*v**2. Let p(i) = -24*i + 39. Let f(k) = -11*k + 18. Let l(u) = 13*f(u) - 6*p(u). Calculate l(o(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 8*d\/3 - 5\/2.\nAnswer: -(d - 15)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 18777628.\nAnswer: 18777627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 41*n - 46*n. Suppose t - 2*t = -n*b + 8, t + 5*b = 24. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 13. Let u(y) = -y + 12. Calculate -4*u(b) + 3*v(b).\nAnswer: 10*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -17.54 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 85. Suppose -129*r + 144 + 372 = 0. Solve -2*y = r*y + b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + p**2)*(257*p - 1660*p**3 + 1654*p**3 - 90*p).\nAnswer: 6*p**5 - 167*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from {h: 5, d: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5026 and 6821.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 1 + 27. What is the remainder when 26 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004223314 (base 5) to base 7.\nAnswer: -23125443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11087957 times 7\nAnswer: 77615699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -396, -5, -1, -2, 3, 105, -4 in decreasing order.\nAnswer: 105, 3, -1, -2, -4, -5, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15242223, -15242231, -15242241, -15242253?\n\"Answer: -n**2 - 5*n - 15242217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -785a7 (base 13) to base 3.\nAnswer: -102002201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -5 (b) -5.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -1\/14*h**7 + 0*h**5 + 0*h**4 + 0*h**6 + 1\/3*h**3 + 0 + 0*h**2 - 3*h. What is the second derivative of x(w) wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*h - 362*h + 1 - 1018*h - 1 to the form d*h + c and give d.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/5*-3 - 125. Let o = -139 - z. Put -2\/9, 1, 0, o in decreasing order.\nAnswer: 1, 0, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t**2 + 44*t - 24. Let h be w(2). Solve -4*p - h = 5*y, -3*y = y + 4*p + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/13 + ((-2230)\/(-130) - 9). What is the units digit of (5 - 116\/p)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 43*x**3 + 4*x**2 + 2*x - 1. Let m be j(2). Suppose 0*t = s + 2*t - m, 2*s = 5*t + 726. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 5585*r**2 - 67560*r - 203220.\nAnswer: 5*(r - 1129)*(r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**4*k + 2*d**4 - 573*d**3*k - 2*d**3 - 10*d**2*k - d*k + 6*k wrt d?\nAnswer: -120*d*k + 48*d - 3438*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50030, 100048, 150052, 200036, 249994, 299920, 349808?\nAnswer: 399652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100.356 millennia in centuries?\nAnswer: 41003.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4628 + 4627.5. What is the second biggest value in 1\/8, -1\/3, -5, 1\/20, m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6 - 0 - (-14077)\/14. Suppose -4*g = 201 + s. Let w = g + 431. Is w a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-116)\/6*-2*3. Let m be n\/6 + 3\/(-9). Let t be -7*(-3 - m\/(-7)). Solve 0*u + 4 = t*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1231 - 259 = 0. What are the prime factors of y?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777509317 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:52 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*i + 0*i = 8, 3*i - 12 = 2*g. Let t be (3697 + 4)*(1 - g). Let s = t - -854. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 - 2)*(-3*x**3 + 3*x**3 - x**3) + 4 - 4 + x**3)*(3*x - 2*x - 3*x) to the form z + f*x**4 + b*x + y*x**2 + d*x**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z + 12*z + 21*z - 2)*(2*z**2 + 4*z - 4*z).\nAnswer: 42*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 77. Let b be s(0). Let f = 193 + b. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263512.4 rounded to the nearest 100?\nAnswer: -263500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = 0, 4 + 2 = h - g. Suppose h*b = -b - z + 127, 12 = 3*z. What is the remainder when 163 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 127. Sort v, -3\/2, 0.2, 5 in descending order.\nAnswer: 5, v, 0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/807 + 11288\/4035. Suppose -4\/5*d**3 - 2*d**4 + 0*d + q*d**5 + 0*d**2 + 0 = 0. What is d?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*l + 49 = 52, 3*d + 57 = 22*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n. Suppose -3*b + 20 = -4*l, 4*b + 2*l = b - 10. Suppose b = 16*j - 22*j - 6. Determine a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - b - 4, -200*k + 3*b = -201*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-192)*-56*(-4)\/(-6)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142362.\nAnswer: 2, 3, 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 11132907*v**2 - 10328462622765*v + 10328473755675 = 0. Calculate v.\nAnswer: -1855485, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 - 1079*u**3 - 1465*u wrt u?\nAnswer: 20*u**3 - 6474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*n - 23*n + 5*n.\nAnswer: -104*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (2 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Let v be (18\/(-15) - -2)*h. Suppose 9 = -2*n + 5*n. Solve -2*c - 3 = v*q + n, 3*q = 2*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 26743?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2 - 3 + 4 - b. Let p(k) = -8*k - 4. Let a(q) = -p(q) + 6*w(q). Find the first derivative of a(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-31)*m*m**1\/m*(m\/m**30)\/(m*m*m**(-4\/19)*m) assuming m is positive.\nAnswer: m**(-1174\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76274 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let h(c) = -17*c**3 + 7*c**2 - 18*c - 5. Let d(s) = 6*s**3 - 2*s**2 + 6*s + 2. Let x(z) = j*h(z) + 11*d(z). Factor x(p).\nAnswer: -2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)*k*k*k**(-2\/9)\/k*k\/(k\/(((k*k**(3\/4)*k*k*k*k)\/k)\/k*k))*k*k\/(k*k*k**(-8))*(k\/(k*k**(-1\/2))*k*k*k*k\/(k\/k**(-2\/19)))**3 assuming k is positive.\nAnswer: k**(16561\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 2 - (47 + -38 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 414 + 32.8\nAnswer: 446.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 bigger than 121.797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.03248ml to litres.\nAnswer: 0.02803248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 10*y**2 - 27*y - 1. Give p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + p + 9 = -3*p, -29 = 5*k + 4*p. Let a = k - -8. Let m = a + 2. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2125426 + -68.676743\nAnswer: -2125494.676743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-186.31.\nAnswer: 745.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 + 8*r - 2. Let x be u(-6). Solve -x*g = -0 - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*n**3 + 6*m**3*n + 4*m**3 - 44*m**2*n**3 - m wrt n.\nAnswer: -6*m**3*n - 264*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 271*a + 13 + a**3 - 14*a**2 + 5*a**2 - 283*a. What is u(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2414.1 - 2414. Is z not equal to 5089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwjuuvjxjvuu. Give prob of picking 1 w, 1 x, and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4098026 by 4098026.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 19*g**2 - 17*g - 5. Let w be l(-20). Let h = w - -70. Let a(k) = -8*k + 40. Let c be a(h). Solve c = 2*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 divided by -175?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h. Suppose -3*s + 24 = 2*u, -u + 4 = u - 2*s. Let g be y(u). Calculate the highest common divisor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17190 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Let z = g + -2. Is z >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v + 5. Let g be f(-11). Let m = 1199\/7 + g. Let o(i) = 5*i**3 - 2*i**2 + 1. Let d be o(1). Which is the closest to m? (a) 1 (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 - 192. Suppose -5*y = -6*y + 2*o + c, 1 = -y + 3*o. Find i, given that -4\/7*i - 44\/7*i**4 + 12\/7*i**y - 24\/7*i**2 + 4\/7 + 8*i**3 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 - 38*d - 215 = 0. What is d?\nAnswer: -5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(((-714)\/28)\/17). Let j = -3.07 - -1.07. Which is the closest to -12? (a) -4 (b) u (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7155109\/19032144 + 3\/147536. Calculate the common denominator of a and 46\/129.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599347161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 + 5*z - 8. Let n be (-1)\/(-2)*4*21\/(-6). Calculate a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18755*f*z**2 - 8*f*z - 508*z wrt z?\nAnswer: 37510*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 4*a**2 - 9 - a**3 + 6*a - 4*a**2. Let w(u) = -3*u + 30. Let t be w(12). Let k be (35\/(-15))\/((-2)\/t). Determine m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -3, -1.\nAnswer: -4, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n + 23. What is r(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012745 to 6 decimal places.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 8, q: 2, w: 2}. Give prob of picking 1 w and 2 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + a1893?\nAnswer: a1892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 - 5 - -26)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.05 - 1. Let l = 530 + -535. Let g be -1 + 2 + -3 + (-140)\/(-60). Sort g, l, b in decreasing order.\nAnswer: g, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:02 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5 - 3. Suppose 2*s + 6 = h. Sort 1, s, -5, -4 in decreasing order.\nAnswer: 1, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k + 29. What is g(-7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 less than -60426.06368?\nAnswer: -60702.06368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10264 - -17645. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 2, q: 2, g: 1, o: 1, s: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3 + 6\/3). Let i be 3 + (-3 - 8 - -1). Let j = r - i. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-3*3)**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 + (-96)\/(-54) + -3. Let o be 0\/t*((-18)\/4)\/(-9). Suppose 2 = -2*m - 0. Which is the closest to 0.1? (a) o (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 - 6352*n**2 + 2502700*n = 0?\nAnswer: 0, 725, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115847318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - p - 6 = 0, 2*p - 7*p = -5*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 326 = 3*h, -199 = -4*h + 6*h - y. Let g = -171 - h. Let c be (-2)\/7 - g\/21. Solve -c*k + 1 = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 plus 0.5?\nAnswer: -692.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004545003 rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2*g**3\/3 + g**2 + 2*g - 3. Let r(u) be the first derivative of b(u). Differentiate r(w) with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/3 (c) -7208 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:31 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - 3*m**4\/4 + m**3\/2 + 27*m**2\/2 + 4*m - 5. Let c be i(-9). Solve c*o = o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*c - 6 - 3 = 0, 5*r + 65 = -c. Let f(w) = w**2 - 8*w - 6. Let j be f(8). Let h = j - r. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42041212 divided by -10510303.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 201324845 to the power of 1\/3, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 6, v: 2, a: 4, d: 3}. What is prob of sequence dv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 4 - 3*y + 7.\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 518.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -358.938 - 9.257. Let y = s - -350.19572. Let h = -18 - y. Round h to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 18 = 10*q - 2*i, 0 = 4*q - 4*i - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/189)\/(1839\/(-21455)) + (-4)\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 865289853*c**4 - 815708103 wrt c?\nAnswer: 3461159412*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 100. Find the common denominator of (-474)\/(-20)*(22\/12 + m) and (-56)\/6*(-14)\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2718*g**3*n**3 + 482*g**3*n**2 - 138589*g**2*n**2 - n**3 + 1 wrt g.\nAnswer: -16308*n**3 + 2892*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 21 = 2*r, 15 = m + 3*r - 6. Is 7 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - 2)\/((38 + 61)\/8118)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 13 = 4*v, -3*f - 2*v = -0 + 9. Let n be 40\/(-8 - -3)*f. Suppose -6*k - n*k = -2856. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 12*i - 2. Let f(w) = 1729*w**2. Calculate s(f(m)).\nAnswer: 14947205*m**4 - 20748*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 449.9 + -449.86181. What is d rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4058758829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*(-2 + 2). Let r be -1 - (o + -3 - 0). Suppose -r*m = -0*m - 40. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16303 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -64, -72, -70, -52, -12, 56, 158?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5865, -23449, -52763, -93813, -146605, -211145?\n\"Answer: -p**3 - 5859*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.2. Let x(u) = u - 4. Let j be x(0). Let g be (4625\/150 - 36) + (10\/2 - 2). Which is the third smallest value? (a) j (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010100010100000 (base 2) in base 11?\nAnswer: 233695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o**2 + 2*o + 2. Suppose -3*y - 17 = -2*m + 2*y, -3*m - 37 = 5*y. Let d(w) = 12*w**2 - 2*w - 3. Let x(p) = m*g(p) - 3*d(p). Determine x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1))**(-15)*k*k**(-8)\/k*k*k*k*k\/((k*k**2*k)\/k))**(1\/9))**25 assuming k is positive.\nAnswer: k**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.1025km to nanometers.\nAnswer: 308102500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4)*(-2)\/(-5). Let o be -2*(-2)\/n + -2. Suppose 2*s - o*k = 190, 2*k + 12 = -k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850366132 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 356 = -5*n. Let a(f) = -8*f - 2. Let s be a(-4). Calculate the greatest common factor of s and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974761 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l - 5*f = -20, 0 = -l - 3*f + 12. Suppose 3*s - 83 - 70 = l. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4105592 millennia?\nAnswer: 4926.7104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 174. Determine q(33).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + 1*(4 - 5). Solve 3*c - q = -s - c, 5*c = s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 0*w - 3 + 1 + 3*w. Let d(i) = i**2 - 4*i + 3. Let r = 92 + -95. Give r*t(u) - 2*d(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3696382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*j + 2*j**3 - 1 + 0 + 307*j + 11*j**2 to the form n*j + w*j**3 + r*j**2 + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/11 (b) -2 (c) 2.3 (d) 0 (e) 2 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-14 + 7 - (5 + -4)) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 251*r + 41. Give b(50).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-825)\/154))\/((6\/10)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 7*x + 76. Let u be l(10). Let g = -122 + u. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29 - -27 - 26\/(-4)) + -4. Let b = 1 - 1. Let k be 2 + -2 - b\/(-2). Sort x, k, -3 in descending order.\nAnswer: x, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 20717?\nAnswer: -20722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4981, 0.7, -4327?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q**2 - 5*q + 7. Let l be m(2). Let w = -14 + 23. Calculate the greatest common factor of l and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -22*n + 14. Let p be r(-7). Let u be (2\/(-20))\/(6\/p). Which is smaller: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 4, m: 3, h: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 2)\/((-2)\/(-22)*11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 + 219*f**3 + 1339*f**2 + 2469*f + 1350 = 0.\nAnswer: -3, -2, -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 14*g - 9.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*v - 5*v - v + 2*v + 1 - 1 + (-v + 4*v - 5*v)*(-1 - 1 + 1) - v + 0*v + 3*v)*(-v + 0*v + 2*v).\nAnswer: 4*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 190*p**2 + 15. Let q(o) = o**2 + 3. Calculate -h(l) + 6*q(l).\nAnswer: -184*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 2000?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6043 by 4.\nAnswer: 6043\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -594, -1173, -1740, -2289, -2814?\n\"Answer: b**3 - 586*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 0*s**3 - 18115003667*s**2 + 4*s**3 + 18115003664*s**2.\nAnswer: 9*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.14 and 65?\nAnswer: -1049.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1960))\/(3*sqrt(810)))\/(1*(sqrt(2) - (-2*sqrt(2) - sqrt(2))*-3) - -1*sqrt(288)).\nAnswer: 7*sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 6*k + 7 = -3, 0 = 29*d - 52*d + 21*d - 5*k - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69945619 equal to 69945617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s**4 - 2*s)*(-2 + 3 - 8 + (1 + 2 - 5 + 0 + 5 - 3 + (-2 + 2 - 2)*(3 + 3 - 4))*(3 - 5 + 4)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 85*o. Let q(v) = -96*v**2 + 21*v - 84. Let g(s) = 9*s**2 - 2*s + 8. Let n(b) = 42*g(b) + 4*q(b). What is n(x(y))?\nAnswer: -43350*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 8621975 and 2.3510655.\nAnswer: 8621977.3510655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 25*l**2 + 130*l - 31. Give v(-17).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2527110 divided by -9\nAnswer: -280790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -132211103?\nAnswer: -132211113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 2*b**2 - 4*b**2 - 5*b**2. Let l(s) = 4*s**2. Determine l(i(o)).\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, o: 2, p: 6, g: 5}. Give prob of sequence pp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226 + -110. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43982122 to the nearest integer?\nAnswer: 6632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 4*s**3 + 5*s - 5*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 8*n + 0*n + 1 - 1 + n - 3*n + n + n + (-5 + 4 + 3)*(3*n + 0*n - n))*(-2*n**2 + 3*n**2 + 3*n**2) in the form l*n + r*n**3 + v*n**2 + u and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -0.3736348\nAnswer: -21.6263652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 17*o**2 - 18*o - 2. Let j be b(-18). Let g be -1*((43 - j) + -3). Let n = -30 - g. What is the remainder when 47 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usnuuuuuu. What is prob of picking 3 u and 1 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 5*t - 196 = 0, -d - 4*t = -124. Suppose 4*k - 41 + 13 = -5*j, 5*k + 2 = 3*j. Suppose 0*p - j*p + d = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u - 4. Let d(p) = -2*p + 13. Let r be d(9). Let i be z(r). Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.11 + -0.11. Let p = f - 6.9999999. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4384 in 0, 13, -10, -0.2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-1\/7)\/k)\/k)*k*k**0\/k)**11)**(12\/7) assuming k is positive.\nAnswer: k**(1980\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -59. Suppose z = 2*k + 61, -k + 0*k - 13 = 3*z. List the prime factors of (21\/(-12) - w)*k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:40 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 1. Let r be x(1). Suppose 4*t = o + 1 - 0, 3*o + t + r = 0. Let n = -6099 + 6103. Sort -9, 5, o, n.\nAnswer: -9, o, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(25\/3)*d)*d*d*(d\/d**(-2\/39))\/d assuming d is positive.\nAnswer: d**(-245\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 5) + 14 - (10 - (2 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20092 + -803767\/40. What is the common denominator of h and (-282)\/(-80) + (-2)\/(((-54)\/(-6))\/18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 11460*s**2 + 57324*s - 3. What is k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00299351478 rounded to six dps?\nAnswer: 0.002994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 2. Let k be t(-2). Let l(v) = v**3 - 5*v**2 - 2. Let x be l(5). Sort k, 2, x in decreasing order.\nAnswer: 2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51120102 (base 6) to base 15\nAnswer: -1db962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/9 - 1264*w**3\/9 - 199712*w**2\/9.\nAnswer: -2*w**2*(w + 316)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 589301749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 43, 57, 75?\n\"Answer: 2*d**2 + 4*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/19 (b) 2 (c) -17\/4 (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6194 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/((-3)\/9). Suppose -y + 16 = -p*y. Is ((-12)\/y)\/((-1)\/(-4)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**5 + 4*d**3 - 6*d**2 - 7*d + 6. Let f(v) = v**5 + v**2 + v - 1. Let b(o) = -5*a(o) - 20*f(o). What is z in b(z) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2436004 - 2433?\nAnswer: -2441440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32522066*u**3 + 49244918*u**2 wrt u.\nAnswer: -195132396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29916 is divided by 664.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 195.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*a - j + 10, 3*j - 3 = 0. Let m be (-4)\/(-3)*54\/4. Suppose k = -k + m. Solve -4*n + k = n + a*x, -5*n + 3*x = 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 - 3*z**2 + 3*z**2)*(-4382 + 840*z**2 + 4382) to l*z**4 + c*z**3 + x + a*z**2 + t*z and give l.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10376419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 26955.3433 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*c - 153 = 0, 3*c - 87 + 924 = -5*i. Let h = 79 + i. Let b = -51 - h. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (567\/12 + -47)*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*w + 1, 143*w - 137*w + 23 = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -124. Is 98 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/21 (b) 14 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 + 0.2. Let l = o - 6. Let p = 6 + -5. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 37, -2\/3, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + c + 2 + 4*c - 2*c + 0*c + (c - 1 + 1)*(-10 + 0 - 2).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from ngnnggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (93118\/(-7))\/(9\/252*-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-27) + 2)\/(1\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669 (base 12) to base 15.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -8\/27*t**3 + 0 + 7*t - 3\/5*t**5 + 1\/5*t**6 + 2\/3*t**4 + 0*t**2. Solve z(l) = 0 for l.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.628 + -0.092. Round s to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(1 - 5 + 2)*(2*n - 5 + 5)*(3154 - 3154 - 72*n)*(-887 - 765 + 1183) to the form m + t*n**2 + q*n and give t.\nAnswer: -270144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19718, -39529, -59340?\n\"Answer: -19811*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315.62 - 316. Let b = 66.7597073 + -67.1397. Let y = m - b. Round y to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 174 = 494. Calculate the remainder when 638 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {q: 2, g: 1, l: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -60*t + 21*t + 17*t + 25 + 29 + 15*t. Let y be n(8). Let c(w) = -9*w**2 + 2*w + 1. Calculate c(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6157, 6, 1\/24, -0.27?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*d + 20, 0 = -5*w - 4*d + 9 + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003118845704 rounded to six dps?\nAnswer: 0.003119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:01 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**4 - 27*n**3 + 11*n + 35. Let y(f) = 18*f**4 + 54*f**3 - 22*f - 68. Let c(p) = 5*i(p) + 3*y(p). Find the second derivative of c(v) wrt v.\nAnswer: 108*v**2 + 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/3, 78, -233, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 divided by 3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 2*c**2 + 5686*c + 40*c**3 - 5682*c in the form h*c + d*c**2 + v*c**3 + n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:25 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k - 240 + 36 = 0. Let q(u) = 2*u. Determine q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6187 and 3118547?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 1. Let m(s) = 53*s + 23. Let i(g) = m(g) + 5*p(g). What is the remainder when i(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 26. Let y(l) = -1823*l**2 + 3*l - 451. Let o(g) = -3*r(g) - y(g). Find the second derivative of o(b) wrt b.\nAnswer: 3652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - 10*r**2 + 3 - r**2 + 14*r + 16*r**2. Let n be i(-14). Solve -3*y = n + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:02 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -1, 3, -1.8 in ascending order.\nAnswer: -59, -1.8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19700830?\nAnswer: 2, 5, 1970083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.1. Let w = 213\/2 - 106. Which is the closest to 0.1? (a) p (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**3 + 12310*p**2 - 311145*p - 671490 = 0.\nAnswer: -2487, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -12\/7, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 50*j - 501. Give z(-16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(637)*1 + -5)**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 77*m = -33*a - 401, -3*a = -3*m + 21 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*f**3 + 4*f - 45 + 5*f**2 + 171 - 76 - 50.\nAnswer: -205*f**3 + 5*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 548 = 783. Let x = c + -117. Solve -2*a - 3*y - 3 = x, 0 = -5*a + 2*y - 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8833*t**3 + 5685*t**3 - 196*t**3.\nAnswer: 14322*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18056348 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2) + -8 + (-9)\/(-3). Let v be 1068\/w*8\/(-12). Suppose 18*a - v = 163. Is 14 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.15 + -4.554. Let u = -0.604 - i. Which is the nearest to u? (a) 1 (b) 3\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 619\/62 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.2, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.3, 575\/6, 4\/5, -3, -8 in decreasing order.\nAnswer: 575\/6, 4\/5, -0.3, -2\/3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -19*j - 111. Let l be r(-6). Let n(f) be the first derivative of -2 + 1\/9*f**2 + 2\/27*f**l - 1\/18*f**4 - 2\/9*f. What is m in n(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1 + (-25)\/(-24)). Suppose -2*z + n = 4*r, -3*z + 2*r - 2 = z. What is the third derivative of -2*w**3 + 3*w**z + 0*w**3 - w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 105. Let z = -20 + 23. Suppose -2*k = z*t - 3, 9 = 3*k - 4*k - 5*t. What is the remainder when c is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvqqffmmvfffms. Give prob of sequence qfs.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -0.01. Put -1\/2, s, -2, 3 in descending order.\nAnswer: 3, s, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 33 + 31. Find the second derivative of -l*i + 9*i + 4*i - 16*i**5 wrt i.\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 27*x**2 + 6*x + 32. Suppose -3*d + 85 = -g, 4*g = 3*d - 95 + 7. What is the units digit of c(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 - -165. Let t = 3\/26 - -5\/13. Which is greater: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 640200, 2560856, 5761956, 10243506, 16005512, 23047980, 31370916, 40974326?\n\"Answer: d**3 + 640216*d**2 + d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10))\/(((-108)\/(-3024))\/((-16)\/12))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*t - 2*l, -3427 = -t + 5*l - 3400 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 5*h**2 - h**3 + 0*h**3 - 2*h - 6. Let k be (-19628)\/2103 - (-2)\/6. Determine g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -136, -134, -132?\n\"Answer: 2*x - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 22*z**2 + 20*z**2 + 70.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323560*i**2 + 323560*i**2 + 2058*i**3.\nAnswer: 2058*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30173 and 2574.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*-1*2*sqrt(25)\/sqrt(5))**2*-6)*2.\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876116.1 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 18 + (1 - 16) - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + 2*i**2)*(0*i - i + 0*i) - 4*i**3 - 7*i + 7*i + 345*i - 1 + 343*i - 692*i - i**3 + 12*i**2 in the form k + a*i + s*i**3 + l*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -553*u**6 + 47*u + 42*u + 57*u**2 + 36*u - 135*u wrt u?\nAnswer: -66360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 466355580 divided by -6?\nAnswer: -77725930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 - 6316*d**2 + 4980160*d + 9985600 = 0.\nAnswer: -2, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57873105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0*x)\/x)**(-13\/3)*x*x*x**(1\/2)*x*x*x*x*x**(-6) assuming x is positive.\nAnswer: x**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26695113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56537 - 588198. Let u = c + 1005394. Suppose -2*q - 3*p - 319356 = u, 0 = -4*p - 20. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose 0*i + 5*i = -4*n + 33, k*n = -5*i + 29. Let r = -1\/1362 + 40877\/23154. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1608541508 rounded to 4 decimal places?\nAnswer: -0.1609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 332 and 0.2?\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211310344 (base 5) to base 14.\nAnswer: 1907b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + 2*sqrt(1900) - (-6*(-1 + sqrt(1900)) + sqrt(1900)))**2 + -3).\nAnswer: -2240*sqrt(19) + 186322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 4*v - 140. Solve -3*i = i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31410 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {f: 5, q: 4, b: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.8 * 5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -125493998\nAnswer: 878457986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 196109*g**3*y - 4*g**2*k + 21*g*k*y - 9261351*k*y + 7*y wrt g.\nAnswer: 588327*g**2*y - 8*g*k + 21*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.7 and -0.602.\nAnswer: 13.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9026 (base 14) in base 4?\nAnswer: -12002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3309 is divided by 1347?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + 2. Let t be 3\/(-18) - (-145)\/w. Let s be 110\/33*t\/10. What is the greatest common divisor of 72 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(-91) - (3438\/(-7) + 0). Suppose a = -7*j + 1429. What are the prime factors of j?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 109186, 2 in decreasing order.\nAnswer: 109186, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073511657 to the power of 1\/2, to the nearest integer?\nAnswer: 32764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3055090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 41 in decreasing order.\nAnswer: 41, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 7*g - 72. Let q be y(-15). List the prime factors of q\/((-30)\/(-15) - (-2 - -2)).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 - ((-12)\/(-20) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15953148 divided by 3.\nAnswer: 5317716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-14)\/(-35) - (44\/(-60))\/(-11)). What is the third biggest value in -0.3, 3\/4, l, -11.25?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 2*a**2 + a + 2. Let t be c(2). What is the least common multiple of (-132)\/77*14\/t and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18908663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2681, -2675, -2681, -2705, -2753?\n\"Answer: -l**3 + 13*l - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 388901*k**3 + 0*k**2 - 388897*k**3 - k**2 - 2 + k**4 + k as n*k**3 + m*k + i*k**2 + f*k**4 + y and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301282174?\nAnswer: 2, 1650641087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 137.97 and 0.1.\nAnswer: 138.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 + 90. Let w = -39 - y. Suppose m - w = -2*m. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 42*r**2 + 27*r + 405. Calculate k(41).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 1, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 - 6*h - 3. Let x be c(7). Let s = -327 - -222. Let y = s - -109. Solve -x + 24 = y*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 568301 and 0.7?\nAnswer: 568300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2601*z**2\/10 - 100776*z\/5 - 1952288\/5 = 0. What is z?\nAnswer: -1976\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i - 2*i - i + i + 2*i + 4*i - 3*i - 2*i + (0*i - 3*i + i)*(2 - 1 - 2) - i + 0*i + 2*i - 85*i - 43 + 45 - 569*i.\nAnswer: -652*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-36)*r*r**2)\/(r\/r**(-3\/11)*r)**(3\/5) assuming r is positive.\nAnswer: r**(-378\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {z: 7, m: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40469, -80940, -121411?\n\"Answer: -40471*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 387624.8 and 434.1418?\nAnswer: 387190.6582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 - 254.9. Which is the third biggest value? (a) 3 (b) 9 (c) x (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 10*t**2 - t - 1\/24*t**4 - t**3 + 0. Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 541?\nAnswer: 270.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 793 - 424. Let i = u + -5533\/15. Which is the closest to 0? (a) -1 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*m + 25 = 0, -50*h + 3*m - 40 = -45*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6*o - 162. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16439*q**2 - 16437*q**2 + 396 - 386 + q. Determine y(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**3 - 2*s**2 + 6298205*s + 2354037 wrt s?\nAnswer: -6*s**2 - 4*s + 6298205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011903549 rounded to seven dps?\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249698 is divided by 1951.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + 15 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366*-7.\nAnswer: -2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 28*b - 47 - 39*b.\nAnswer: -53*b - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 25*z. Suppose -2*b + 4 = z, -6*f + f + 5*b = -805. Suppose 16 = l - f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/(-28) - 5) + 33\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11529 divided by -3843?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1910 = 5*p, 0 = -3*p - 0*p - 3*l - 1164. Let h = p + 387. Solve -24 = -4*r - h*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + q - 7 = -7*d, 2*d - 4*q + 24 = 0. Let s(u) = -u**2 - 7*u - 10. Let i be s(d). Which is the biggest value? (a) i (b) 5 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 24*i - 76. Let v be -9 + 2 + -9 + 2. Let h(m) = -5*m + 15. Let c(x) = v*h(x) - 3*y(x). Let f(z) = 2*z**2. Give f(c(a)).\nAnswer: 8*a**2 - 144*a + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -289 and -0.4.\nAnswer: 115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 18 = 0. Let v = -62 + 42. What is the units digit of v\/(-6)*i\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fczcgza. What is prob of picking 2 z and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*k**2*y - 83*f*k**2 + f*k + 145*f*y + 211*k*y + 242 wrt k.\nAnswer: -4*f*k*y - 166*f*k + f + 211*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r + 9. Let x(s) = -11*s - 14. Calculate 8*n(a) + 5*x(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 1 - (5 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b = -129*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:27 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39124 = 26*r - 2970. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 + 2*y - 4. Let c(w) = w**3 - w**2 - 1. Give 4*c(a) - n(a).\nAnswer: 5*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-855)\/342*(-16)\/(-20)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -26*p**2\/11 + 100*p\/11 + 16\/11 = 0.\nAnswer: -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -10, -241.\nAnswer: -241, -196, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1649 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705262851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49.70787 kilograms?\nAnswer: 49707870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13270, -106136, -358184, -849004, -1658186?\nAnswer: -2865320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13908772*a**3 - a**2 - 144186*a + 47 wrt a?\nAnswer: -83452632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 244*i**3\/3 + 7*i**2 + 228. What is the second derivative of d(x) wrt x?\nAnswer: 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 + 6*d + 7. Let a be t(7). Let l be 13 - 0\/(a + 1). Let o = l - 6. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 9. Let l(v) = -6*v + 30. Let y(g) = 10*k(g) - 3*l(g). Let x(i) = 104*i**2. Give x(y(j)).\nAnswer: 416*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (648\/(-48))\/((4\/40)\/(6\/45)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(3\/1 + -1). Suppose -n*l = -0*l - 70. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15.1387 (b) 0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 277, 244, 191, 112, 1?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 8*d - 5*d)*(-5*d**2 + d**4 + 5*d**2) + 3*d - 3*d - d**5.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-30))\/((-4)\/(-6)) - -4. Suppose 0 = 4*y - 5*y - l*j - 51, 0 = -4*j + 8. Let u = y - -115. Which is smaller: 53 or u?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*10\/2*24\/(-60). Find the second derivative of 2*b**5 - 2*b**2 - d*b**2 + 2*b + 8*b**5 + 2067 - 2180 wrt b.\nAnswer: 200*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g + 10. Let u(z) be the first derivative of -3*z**2\/2 - 3*z - 4. Let o(v) = -4*d(v) - 11*u(v). What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92841a7 - -4?\nAnswer: 92841ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6)*(-16)\/2. Let i be (4 + -3)\/(1\/q). Sort 0.01, i, 2, -3.\nAnswer: -3, 0.01, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586043 take away 0.113?\nAnswer: -586043.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2680*h - 161583. Give m(-59).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**(-2\/25))**(12\/7)\/((k**(-1))**(-2\/3)\/((k\/(k\/(k**(-3)*k)))\/(k**(-1\/6)\/k))) assuming k is positive.\nAnswer: k**(123\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (13 - 9)) + (1 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/3 + 7\/21. Let v be 102\/l + (-8)\/28. Find the third derivative of -4*w**3 + 4*w**2 - 6*w**3 + v*w**3 wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 29610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -93*r + 4755. Give x(51).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 924, 5, -0.2, 5\/3, 3 in ascending order.\nAnswer: -0.2, 5\/3, 3, 5, 924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 391*k**5 - 15*k - 19 wrt k?\nAnswer: 7820*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 10*j - 32\/3.\nAnswer: 2*(j - 1)*(j + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5, -5, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -78 + 14 + -1 + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 841*x - 20. Let t(r) = 418*r - 11. Give 6*s(l) - 11*t(l).\nAnswer: 448*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-8)\/t)\/(t**(3\/8)\/t*t))\/(t**(-2\/17))**(-11) assuming t is positive.\nAnswer: t**(-1315\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -155*i**5 + 225*i**3 - 340*i**2 - 240*i + 85. Let t(r) = 11*r**5 - 16*r**3 + 24*r**2 + 17*r - 6. Let m(n) = -6*q(n) - 85*t(n). Factor m(b).\nAnswer: -5*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1)**2*-5 + (-1*(-2*sqrt(98))**2 + sqrt(98) - sqrt(98)) - 1*(-2*sqrt(98) + sqrt(98) - sqrt(98))**2*6.\nAnswer: -3239 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/48)\/(7\/42*3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 93*f + 277. Let p be g(-3). Let y(t) = 5*t - 1. Let w be y(1). Suppose 0*u = w*u. Put -4, u, -1, p in descending order.\nAnswer: u, -1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3145799\/7 + 448670. Let w = 731 + u. Determine i, given that 8\/7 - w*i - 6\/7*i**2 = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373681626 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 4*g**2 - 3 + 2*g**3 + 3*g. Suppose -13 = -3*z - 4. Is p(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:55 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305040250 take away 818?\nAnswer: 305039432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 993.5*51.\nAnswer: 50668.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365 - 364.7. What is the second biggest value in 0.2, -272, n, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -0.13. Let s = z - 1.28. Let h = 0.6 + s. Which is the second smallest value? (a) h (b) -1\/11 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/19, -0.32, 2, -317, -3.\nAnswer: -317, -3, -0.32, -4\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 2*s + 8 = 0, 3*h - s - 5 = 0. Suppose 6 = -p + 2*p + 5*a, -a = -p. Calculate the least common multiple of h and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.21 plus -24?\nAnswer: -29.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 31. Let x be (45\/210)\/(k\/(-7) - -1). Suppose -9\/4 - 3\/2*v + x*v**2 = 0. What is v?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -467 and -20020\/43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {y: 8, s: 3, z: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 54. Let b be (15\/(-9))\/(8\/y). Suppose 4*j - b = 39. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u. Let z(c) be the third derivative of c**6\/360 + 3*c**4\/8 - 2*c**2. Let m(k) be the second derivative of z(k). Calculate d(m(o)).\nAnswer: 52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81812 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 53. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36283 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3340.272 micrometers?\nAnswer: 3340272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 76. Is -11\/2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Let i(t) = -10*t - 833. Calculate 6*h(a) + i(a).\nAnswer: -4*a - 797","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (129\/(-72))\/(3\/(-428)). Let y = 255 - r. Calculate the common denominator of y and 7\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -13213244.\nAnswer: 92492708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30847852 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66080 and 4295200?\nAnswer: 4295200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose x = -5*h + 85 + 15. What is the remainder when (-3)\/((-4)\/464*6) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/40*((-350)\/(-21))\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - d)*(180 - 180 - 10*d**2) + 5*d**2 - 4*d**2 - 3*d**2 - d**3 + 0*d + 0*d - 2*d**3.\nAnswer: -23*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k, -2*b + 3*k - 3 = -2*k. Suppose 0 = -57*s + 58*s + b. Sort s, 1, -0.72.\nAnswer: s, -0.72, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.857064s to microseconds.\nAnswer: 8857064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*1*-1)\/(sqrt(300) - 5*(sqrt(300) - -1*sqrt(300))).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*z - t - 122, -130 = -4*z + 5*t. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 3, -1, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 5*s - 20, -2*s + 5*c - 5 = 0. Let i = -67 + 69. Sort s, i, 3 in decreasing order.\nAnswer: s, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 0, -2913?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2509\/(-169) + (-1)\/((-13)\/(-2)). Which is the third smallest value? (a) y (b) 0.3 (c) 1\/2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 - 253*x - 33. Let q be l(-36). Solve q*k - 15 = 3*m, 4*k + 2*m - 6 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + 20.1. Let f = -13 + t. Which is the second smallest value? (a) 1 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*q + 4*q - 25, 4*g = -4*q. Suppose -q*y + 3 = -37. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 8 + 4 = 0. What is the smallest value in p, 1, -2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1394?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 73*s**3 + 2*s**2 - 4*s + 3. Let w be d(1). Calculate the highest common factor of w and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*j - 114. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3225 by 3.\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 divided by -5?\nAnswer: -1247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -50 in decreasing order.\nAnswer: 3, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 0. Let x be (5 - l)\/(2\/(-14)). Factor x*p**3 + 2*p**3 - p**2 + 4*p**4 - p**3 + 5*p**2.\nAnswer: 4*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 22*b - 15. Suppose 0 = v - 1, -b*v = 3*j - v + 13. What is the nearest to 0.1 in 0.1, 0.5, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/140 and -41\/8064.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 5}. Give prob of sequence ddd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-7)*y)\/y)\/y)**10 assuming y is positive.\nAnswer: y**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/2 - 2*b**3 - 1374. Solve w(d) = 0 for d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3215 + 3256 = -0*r + 3*r, -4*h + 118 = r + 115 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.172.\nAnswer: 0.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3684 and -3694 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -890816 by 14368.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 88 = z + i, -3*z + i + 688 = 0. Round z to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6121, -8420, -12249, -17608, -24497, -32916?\nAnswer: -42865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/44)\/((-7)\/(21\/6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -711\/5 (b) 3\/4 (c) 0.1 (d) 6 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + -1)*6 + -6*sqrt(704)*-1 + 0 + -5)**2*-1 + -2.\nAnswer: -101499 + 2112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 + 3*y - 11. Let o be x(6). Suppose 4*m = -c - 13, -4*c = -6*c - m + 2. Solve 3*h + 3*r + 9 = 0, -o*h - c*r = -3*h + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-3915)\/(-3969))*(-60)\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 32)\/((12\/(-16))\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 29 + 30 + 26)*(-s**2 + 0*s**2 + 0*s**2 + (-4 + 0 + 5)*(-s**2 + 0*s**2 - s**2) - 21 + 21 + 5*s**2).\nAnswer: -2*s**4 + 170*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2765.1ug?\nAnswer: 2765100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8342 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 + 7*t - 1. Let g be y(-4). Let i be (g - (3 + -3))*(-20)\/(-12). Sort -5, 4, i in descending order.\nAnswer: i, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111010010010111101 (base 2) in base 4?\nAnswer: 10322102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Let l = -4.8 + n. Let q(f) = -f**3 - 4*f**2 - f - 4. Let v be q(-4). Which is the closest to l? (a) v (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceecceeeccceeccc. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17 (b) 12 (c) -549 (d) -0.5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 + 89 - (9 - 5)) + (2 - 75).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207621 - 584539 = -26*m + 670050. What are the prime factors of m?\nAnswer: 2, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1549\/13 - 119. Let k be ((-3)\/9)\/(3\/27). Suppose 4*o + o = 3*w + 2, 18 = -3*w - 3*o. Which is the second smallest value? (a) w (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -175*n + 171*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 3*q = -34*o - 2535, o - 839 = 4*q. Calculate the highest common divisor of 385 and o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*d + 42, 3*d + 9*x + 168 = -3*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d - 35*d - 360727 + 3814103. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.5 * 4.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 18*p**2 + 6*p + 119. Is 32 a factor of u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:03 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448 + 268 = -105*y + 341*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*m**3 + 96905*m**2\/2 - 2305167*m\/2 - 154539 = 0. Calculate m.\nAnswer: -669, -2\/15, 231\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {p: 2, l: 4, w: 3, h: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*t**4\/2 - 233208*t**3 - 622041*t**2\/2 + 906915*t + 1295700 = 0. What is t?\nAnswer: -5\/3, 2, 17276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*d + 5887 = 402*d - 18493 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let s be w(-6). Let j(o) = 29*o + 2 - o - o**2 - 20*o. Let t be j(s). Solve 2*r + t = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 3)*(0 + 2 - 1) + 1 + 4 - 6 + (0 + 0 - 4)*(1 - 1 - 3) - 11 - 11 + 4)*(-m + 2*m - 2*m) in the form f*m + r and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -59310427787 less than -3.417?\nAnswer: 59310427783.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*j + 47170 + 30151 = -29814 + 23715 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147021 - 147019. Let b = 2 - 4. Sort v, b, -1, -6.\nAnswer: -6, b, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5604 + -5601. What is the second biggest value in 4, -3\/148, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + 18 - 48. Suppose -2*d = 4*y - 9 - r, -2*y - 6 = 4*d. Suppose 16 = -y*g + 306. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155325*c**2 - 1236565*c**4 + 295936*c + 1236569*c**4 + 142787*c**2 + 2180*c**3.\nAnswer: 4*c*(c + 1)*(c + 272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 m, and 1 y when four letters picked without replacement from {y: 3, z: 3, m: 4, t: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*(-1)\/7. Let o = 2.02 - 0.02. What is the closest to o in -0.4, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let p(a) be the first derivative of 0*a**2 + 0*a + 8 - 5\/3*a**3. Calculate p(x(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 8\/273, 1, -3?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 0. Let m(f) = f**2 + 6 + 5 + 0 - 6 + 6*f. Calculate m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-2*-2*1)\/(sqrt(720) + (sqrt(720) - (-1*sqrt(720) - sqrt(720))*6)))**2.\nAnswer: 13\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 2, s: 6, p: 3}. Give prob of sequence wxx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -1313011?\nAnswer: 1313310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -3, -2, 309, -13, -7 in ascending order.\nAnswer: -13, -9, -7, -3, -2, 1, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**2 + 1198*m - 908. What is l(119)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.40531 and 0.3.\nAnswer: -0.10531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 2\/3*k**3 + 0*k + 0 + k**2 + 1\/12*k**4. What is n(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 8. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Suppose 4*y + 18 = -2. Let u = o - y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from {j: 4, a: 3, b: 11}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**6\/2 + 31*w**5\/5 + 187*w**2\/2 + 423. Find the second derivative of f(m) wrt m.\nAnswer: 60*m**3 + 372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2)*g*g**(1\/2))\/(g**(-1\/6)\/((g*(g\/g**(-6))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 88. Suppose a*h = -2*h + 86540. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 19, -3\/5, 1, 2, -10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4410100?\nAnswer: 2, 5, 44101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**2 - 73*r + 46. Let i be p(5). Let j(n) = -5*n**2 + 17*n + 5. Determine j(i).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 8. Suppose v*s + 3*s = -20. Is 3 a factor of (-102)\/s*26\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 21147*t + 232980 = 0. Calculate t.\nAnswer: -11, 7060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, 997, -5, 4 in descending order.\nAnswer: 997, 4, 2, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*3\/(-48))\/((1\/26)\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2)\/(4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 17. Suppose -5*z - 2*p - o = 0, 2*z + 10 = -5*p + p. Let u(m) = -3*m**3 - 1. Let n be u(z). Solve -2*l - n*l + 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let l be -1 - (f + -3 + 1). Which is the third biggest value? (a) -0.4 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + -2)*698\/(-28269). Factor 2\/9 - t*j - 4\/9*j**2 + 2\/9*j**4 + 4\/9*j**3 - 2\/9*j**5.\nAnswer: -2*(j - 1)**3*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -6, -13, -32, -69, -130?\n\"Answer: -l**3 + 3*l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/360 - q**5\/9 + 23*q**4\/72 + 7*q**3\/3 + q**2 + 124. Factor k(b).\nAnswer: -(b - 2)*(b + 1)*(b + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -273*h**4\/8 + 398583*h**3\/8 + 396939*h**2\/4 - 4383*h\/2 - 2193 = 0. What is h?\nAnswer: -2, -1\/7, 2\/13, 1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let k be (-1 - y)*(6 - 3). Is (-1*2 - k) + 52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = k. Suppose -a - 4 = -3*a - 2*i, 0 = -5*a - 4*i + k. What is the second derivative of -6*c - 5*c**4 + 0*c**4 + c**4 - a*c**4 wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63 - 419.\nAnswer: -418.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 - 4*z. Suppose -4*n + 6 + 6 = 0. Let p be i(n). What is the highest common divisor of p and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = -3*s, 4*w - s + 116 = 0. Let b = -10 - w. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6743 or 6717?\nAnswer: 6717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and 2470?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 265, 432, 669, 1000, 1449, 2040?\n\"Answer: 4*o**3 - o**2 + 96*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 k, and 1 n when four letters picked without replacement from ekntdknnddeknnnnkenk.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -721*i**2 - 699*i**2 + 1285*i**2 + 3*i as w*i**2 + f + x*i and give w.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 84*m + 616 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 1902*o - 1899*o + 3806*o as k*o + h and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 408?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -329. Let h(z) = 3 + 2 + y*z - 270*z. Let n(m) = 4*m - 2. Let q(u) = 2*h(u) + 5*n(u). Let v(k) = -k. Determine v(q(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - m**2 - 2*m. Let z be l(-1). Is z <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54408568 - -4?\nAnswer: 54408573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 11 in ascending order.\nAnswer: -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29416770 and 972.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 40 = -17*c. Let d be -4 + (0\/1)\/1. Let j = d - c. Solve -10 = -2*k - 3*r, -4*k - j*r + 0*r + 16 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2151488 and -16.169.\nAnswer: 2151471.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 2032*b**3 - 25*b**2 + 50800*b.\nAnswer: b*(b - 2032)*(b - 5)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 7, s: 7}. Give prob of sequence skz.\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4. Let l be u(3). Suppose 0 = -l*t + 13 + 83. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 20799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssshhhusqsshhsushh. What is prob of picking 1 s, 1 q, and 2 h?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16540 and -39\/625720.\nAnswer: 517470440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((((f\/f**(2\/13)*f)\/f*f)\/f)\/f)\/f)\/f**(1\/8))**(-1\/5)*(f*f*f\/(f**(1\/5)\/f)*f)\/f*f**2*f*f**(-3)*f**(-4)\/f assuming f is positive.\nAnswer: f**(-119\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - ((-10)\/20*-24 + -17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/24 + 61*j**3\/2 - j**2. Let i be u(0). List the prime factors of i\/15 - 1\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0 + (-1 - 6 + 5)*(1 + 2 + 0))*(-4 + 3 + 0)*(0 + 0 - 2)*(0*l + l + l) as z + f*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(-3*y + 4*y + 0 - 1) + y - 3*y + y + (2 - y - 2)*(6 - 2 - 2) + 12*y - 2*y + 9*y to o + h*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 - m. Suppose 3*f - 4*s - 22 = f, 12 = -3*f - 3*s. Let g(j) = j + 5*j - 5*j**3 - 1 - 2*j**2 + f. Determine g(b) + 4*v(b).\nAnswer: -b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*l - 4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 7*w - 24. Is w <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 + 3*x - 12. Let k be u(6). Let t = 86 + k. Let v be 4\/(-6) - 44\/(-3). What is the highest common divisor of t and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*-2 - (-1*sqrt(242))**2 - (-3 + 1 + sqrt(288))**2.\nAnswer: -534 + 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009944*m - 1009911*m + 1122 = 0 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-8))\/(2*(8 + 1)). Let f(l) be the third derivative of -7*l**2 + 0*l - 1\/40*l**6 + 2\/105*l**7 - m*l**5 + 1\/6*l**3 + 0 + 1\/8*l**4. Factor f(i).\nAnswer: (i - 1)**2*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 11) to base 5\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 897120 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 439, 1467, 3467, 6763, 11679, 18539?\nAnswer: 27667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-11)\/429 - 4\/3)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12221 (base 5) to base 10\nAnswer: -936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 44 = 16*p. Suppose -349 - p = -3*z. What are the prime factors of z?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2400 - 175672391\nAnswer: -175674791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -326?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 26 = 5*q + 4*t, 27*q - 31*q - 5*t = -11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 179*z + 6. Let i be 1*(0 - 2) - 2. Let c be w(i). Round c to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/253197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.564 - -0.036. Let s = a + -6. Let g be ((-2)\/12)\/(3 + -2). Put g, 4, s in decreasing order.\nAnswer: 4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Let f(a) = a - 1. What are the prime factors of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*z - 2 = 0, -4*g - z - 2*z + 2 = 0. Suppose -2*a - 5*f = -23, 3*a - g*f - 3*f = -3. Solve 24 = j - 3*j - 4*x, 5*x + 17 = a*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q = 0. Let v be (2\/12)\/((-1)\/2). Let p be (-3)\/2*8\/(-6). Which is the closest to v? (a) q (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7917500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3003 divided by 39\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**3 - 5*t**2 + 4*t - 4. Let c be (-9 - 0)*1\/(-3). Let q be u(c). Let g be (-1)\/2 + q\/10. Calculate the greatest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25028254 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**5 - 1255*g**4 + 11610*g**3 - 23400*g**2 = 0.\nAnswer: -260, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 12) to base 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95993 - 471727 = 12*d. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/7 + (-4)\/14. Let x = -4 - -4. Suppose -y + x*y = -2*p - 27, 4*p + 104 = 4*y. Solve b = -s*b + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 + 1 - 2 + l - 6. Let c(a) = a**3 + 3*a**2 + 4*a + 5. Let f be c(0). What is y(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4 and -83\/8236.\nAnswer: 8236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 201 + 295. Suppose -5*m + l = -2*q, 0 = -m + 4*m + 5*q. Solve 6 + 4 = m*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2117 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 893*o**6 + 214*o**3\/3 - 2*o + 213. Find the third derivative of k(b) wrt b.\nAnswer: 321480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 91665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 80. Let t = b + 61. Are t and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 844 = -38. Suppose 4*y + 12 = 0, -4*m + 30*y = b*y - 333. What is the highest common factor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2528890 by -794.\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 806.3261um in centimeters?\nAnswer: 0.08063261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*c**2 - 29*c**4 - 33*c + 28*c**4 - 2*c**3 + 2 - 3 + 27*c + 4 in the form l*c**2 + o*c + r*c**4 + t*c**3 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122362 (base 9) in base 2?\nAnswer: 10010000011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/19324 and -97\/3904.\nAnswer: 18860224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t + 12. Let u(k) = 6*k - 13. What is 4*u(g) + 5*x(g)?\nAnswer: -6*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 69*z + 30. Let m(u) = u**2 - 134*u - 61. Let x(s) = 2*m(s) + 5*t(s). Let p be x(26). Solve 1 = 2*q + 4*d - 1, 3*q = p*d - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1542660.\nAnswer: 1\/771330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*s + 8 = 20, 5 = s. Suppose 1 = -k + 2. Sort k, j, -4 in ascending order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13750835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 3\/94, -1\/3, 0?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11597 - -11603. Suppose -70 + 10 = -3*y. Calculate the remainder when y is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16851, 33671, 50491?\n\"Answer: 16820*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 12. Let m be (1\/(-1) - -4)*(-1826)\/(-66). Let k = c + m. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -258, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, 0, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*((3 + sqrt(475)*1 - (sqrt(475) + 3 + 1 + sqrt(475) - sqrt(475))) + 5 + -3*(sqrt(475) + -2 + sqrt(475)))*6)**2.\nAnswer: -3110400*sqrt(19) + 89164800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 108.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1722 + 10*j**2 - 1722. Let m(s) = -3*s. Determine f(m(p)).\nAnswer: 90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dpvdvvddvpvvvpvd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540264 - 59320 - 118601 = -11049*s for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/3 + 5*m. Let s(k) = 26*k. Calculate n(s(t)).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -3, 5\/3, 2\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 3*p. Suppose 3*m - 3 = -3*o, -5 = p*m + 2*o - 4. Let b(v) = -6*v + 1. Calculate b(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(9 + k**3 - 9).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-5))\/((-1)\/5). Suppose -4*u + 4 = 0, j*r + u = -2*u + 123. Let v = 45 - r. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87652, 87465, 87152, 86713, 86148, 85457, 84640?\n\"Answer: -63*l**2 + 2*l + 87713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 64*s - 13*s)*(0*s + s + 2*s).\nAnswer: 153*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + -0.126. What is c rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -0.3. Let k(p) = 3*p - 1. Let n be k(-5). Let f = n + 14. What is the third biggest value in -4, x, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*b**2 + 56*b**2 + 16*b + 5 - 18*b + 42*b**2 to the form p*b**2 + h*b + r and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - j)*(17*j**2 + 13*j**2 + 23*j**2).\nAnswer: 106*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(105)\/sqrt(432))\/(sqrt(60)\/((sqrt(144) - (sqrt(144) - (sqrt(144)*1 - sqrt(144) - sqrt(144) - sqrt(144) - sqrt(144))))\/sqrt(12))))*-1)**2.\nAnswer: -3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10*5*(-5)\/(-40). Factor -1\/4*a + 1\/4*a**2 + 1\/4*a**3 - d.\nAnswer: (a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 3. Suppose s = -4*y - 7, 0 = s + 2*y - 0 - 1. Which is the nearest to 0.2? (a) 0.3 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.02 + 0.02. Let v = -5.999 - b. What is v rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100331 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 59010*w + 649473 = 0 for w.\nAnswer: -19681, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697038 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -2, 36, 86, 148, 222?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 - 275042027742*p + 275042027742*p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-1) + 1 + 234\/297 and 91\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3412, -6825, -10238?\n\"Answer: -3413*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from aaabdabbbaaaad?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 + 13*w - 10. Let c be t(8). Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9) + 0 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1379 + -5?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**2. Let i(y) = -6*y**3 + 203*y**2 + 35*y - 28. Let g be i(34). Let z(j) = -j**2. Let p(n) = -n + 14. Let h be p(15). Give g*z(v) + h*t(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -883, -1296, -1693, -2074, -2439?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 4. Let v(x) = -6*x - 5. Let s(u) = 3*a(u) + 2*v(u). Let m be s(2). What are the prime factors of (20\/(-6))\/(m\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 1\/3 (c) 11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*k + 456*k - 13 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135942234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001042979 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 4. Let i be k(4). Let v = 18 - i. Let q = 527 + -521. What is the smallest common multiple of v and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 + 6*b - 294. Is i(-11) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 78?\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*q - 28 = 1026*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1110001101 (base 2) to base 15\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b = 55*b + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 8. Let a be (1 - 44\/4)\/(-2). Suppose 0*b - b = 3, a*w - 88 = -4*b. What is the remainder when w is divided by m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077*u**2 + 311*u**2 + 344*u**2 + 420*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*v - 84*v + 14. Solve -3*c - v*g + 6 = -3, g - 12 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l = 78*l + 171360. What is the hundreds digit of l\/68 - -1*(3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 3*w - 63 = 0, -79*m + 68*m + 4*w - 29 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (3 - 6)) + -8 + -11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6278*g**3 + 3 + 6230*g**3 - 1)*(-4 + 4 - 3*g + (2 + 4 - 5)*(0*g - 5*g + 3*g)).\nAnswer: 240*g**4 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/(18\/(-72))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 32?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 20\/175 + 2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w + 5*s, -3*w + 7 = -2*s + 7*s. Let d = w + 6. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t**3 - 2*t**2 - t - 2. Let u be l(2). Suppose -4*x + u = -2*x. Let p = x + 17. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 + 438 = 12*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 4. Let g be x(-4). Suppose -b - g*b - 430 = 0. Calculate the common denominator of 53\/12 and b\/(-32)*(6 + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191*k*x - 194*k wrt x?\nAnswer: 191*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.583 + -0.57929. What is w rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m - 123. Let i be d(-13). Solve -18*k + 14 = -2*l - 13*k, 5*k - i = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 0 + (-8 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2955 and 9456?\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 317 = -5*o + 5*u, 0 = -5*o - 3*u + 350. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, k: 4, n: 1}. Give prob of sequence kkk.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 186, 190, 196, 204, 214, 226, 240?\n\"Answer: k**2 + k + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/13, -172, 63, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*a**2*k - 14*a*k - 4*a + 2 wrt a?\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -3*i**4\/8 - 31*i**3\/6 - 10*i**2. Calculate the remainder when a(-6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzvzzvyyvzvj. What is prob of sequence vz?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3880691, -3880694, -3880697?\n\"Answer: -3*d - 3880688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3887 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(-1)*(-26 + -5 + 29). Sort c, -148, 1, 9 in increasing order.\nAnswer: -148, c, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 78 = -34*c. Suppose -2*y = -0*y - 128. Suppose y = c*n - 0*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-41*s**4 + 16*s**4 + 16*s**4) in the form g + u*s + x*s**4 + o*s**3 + f*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803126413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 14 = 4. Let f(i) = 1 - n + 46*i - 162*i. Let g(x) = -2*x**2. What is f(g(j))?\nAnswer: 232*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 2) + 2 - 0) + -1. Suppose 46*k - 43*k - 6 = l. Which is the nearest to k? (a) 5 (b) 0.3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 5, 145?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100151651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:01 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137316485890 and -40.\nAnswer: 137316485850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 2. Let o(s) = 6*s - 3. Suppose 0*r = 2*r - 10. Calculate r*g(k) - 4*o(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225112 and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 5 + 0 + 11*d. Let h be p(-3). Let i = h + 30. Solve 0*a + 12 = o + 3*a, -i*o + 4*a - 32 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 25*h**4 - 5054*h - 5225*h**2 + 211*h**3 + h**5 - 351*h**3 - 7*h**3 = 0.\nAnswer: -19, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*(-640)\/48.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5030*l - 5029*l + 408 + 18*l**2 - 9*l**2 + (-1 + 2 + 0)*(2*l**2 + 0*l**2 - 3*l**2) to f + q*l + v*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 87. Suppose 128 = 5*x - r. Find the second derivative of 0*f**2 + f**2 + x*f - 42*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -446 bigger than -446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76054064.\nAnswer: 2, 71, 66949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 1.5. Let t = r - -2. Let y = -13\/33 - 3\/11. What is the closest to y in 5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -218, 5, -3 in ascending order.\nAnswer: -218, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w - 14. Let f be n(-4). Let a be 3*(1 + 1)\/f. Is 37 a factor of a\/((4\/1124 - 3) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122.159994313 + 122.16. Round d to seven decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k - 5480 = -3848 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3*g**2*r**2 + 2*d**3*g*r**2 + 48*d**3*r**2 + d**3*r + 9*d*g**2*r**2 wrt g.\nAnswer: 12*d**3*r**2 + 18*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 157*w + 333. Let z be c(-2). What is the greatest common factor of 2242 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 79.\nAnswer: 79.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3495372 and 1165124.\nAnswer: 3495372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 52. Suppose t = 5*p - 3*p. Let s be ((-18)\/15)\/(4\/p). Let i(o) = -2*o - 5. Determine i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 11. Let r(u) = 2222*u - 3*u**2 - 1109*u - 1115*u. Let m(k) be the third derivative of 19*k**5\/60 + 13*k**4\/24 - k**2. Determine d*m(w) + 39*r(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - -2. Which is the nearest to -0.2? (a) i (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*d + 194*d - 60*d)*(-11 - 4 - 2).\nAnswer: -5287*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1*-10*50\/(-15). Let f be ((-5)\/(v\/(-32)))\/(2\/15). Solve -7*i + 10 = -f*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -13*f + 10*f. Suppose -10 = f*u - 62. Calculate the remainder when 63 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035617361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*j = -97*j + 25, 4*j = -2*b + 32. Let q(t) = -16*t - b*t**2 - 1 + 22*t + 2 + 11*t - t**3. Give q(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3324075 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*f + 38*f + 31*f)*((-3 + 3 + 2)*(4 + 1 - 3) + (-3 + 3 - 2)*(1 - 4 + 2))*(-5*f - 3*f + 2 + 5*f).\nAnswer: 252*f**2 - 168*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*k + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28458438 - -0.065.\nAnswer: 28458438.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 3)*(0*f**2 + 0*f**2 + 2*f**2) + 89*f**2 + 98*f**2 - 179*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 18*m**5\/17 + 4*m**4\/17 - 18*m**3\/17 - 4*m**2\/17 = 0?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1769 + -1770)\/(3 - (-99)\/(-2)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.12182, -1, -47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -991516.1399 to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*s - 3*t + 1, 0 = -s + t + 7. Suppose s*b - b - 22 = 0. Suppose 5 = -3*j + b. Calculate the greatest common factor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p + 0*p - 4*p)*(-2 + 4 - 4) + 6*p + 18*p - 3*p - 16*p + 80*p - 2 + 15*p + (3 - 1 - 1)*(-p + 2*p - 2*p) to the form q + n*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {r: 15, d: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 39837\/832 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 250*d + 497. Let a be k(-2). Sort a, -4, 2, 59 in descending order.\nAnswer: 59, 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -95, -1\/9, -6280?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3 - 36*s**2 + 81*s - 42 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/(-28))\/((-2)\/(-376)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.346 * 0.3.\nAnswer: 0.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.076 - 0.476. Which is the nearest to 0.1? (a) 1\/13 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 40 = -10*a, 2*a = -59*c + 56*c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7238 + 0.2762. Which is the smallest value? (a) -2\/9 (b) 0.2 (c) 41 (d) 7 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcrrrsrrscrs. Give prob of picking 1 r and 1 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-24)*(2\/(-6))\/(28\/432)*2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 518119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d - 2394 = 209*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(432)) - (sqrt(432)*-2 + -1 - sqrt(432))) + 4 + (-6*(-2 + -2*sqrt(3)))**2.\nAnswer: 312*sqrt(3) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 + 3*x**3 + 259*x**2 - 717*x - 3 wrt x.\nAnswer: -36*x**2 + 18*x + 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 4*m**6\/15 - m**4\/4 + 35*m**3\/6 - 1999*m**2\/2 - 43*m - 24. What is the first derivative of t(i) wrt i?\nAnswer: 32*i**3 - 6*i + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22370 is divided by 1315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 1505996?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/13, -2\/7, 29, 11\/95 in descending order.\nAnswer: 29, 0.2, 2\/13, 11\/95, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16561 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-6) + -5 - -8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 137307*r - 686535. Give x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 16.590595654433\nAnswer: -17.590595654433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*y. Solve 0 = y*c - 0*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nur when three letters picked without replacement from nurur.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85821 - -85819. Let m be 1\/(0 + -1) - 31. Which is the nearest to -1\/4? (a) 5 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2424423122?\nAnswer: 2424423122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose 8*g = i*g. Suppose g = -y + 11 + 9. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -4 + 1 + (6 - 3) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-600)\/(-2400) + (-18542)\/(-8). What is the greatest common factor of a and 976?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -4*p = -45*p + 241 + 128. Solve r = -3*a - 14, s*a - 3 + p = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198255591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)*-2*2. Let l be (x\/(-6))\/((-4)\/18). Suppose -4*i - 4*j = -136, 2*i - 5*j + 42 = l*i. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r. What are the prime factors of h(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.016719697 - -0.016696. Round d to 7 decimal places.\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 2\/9, 0.3, 9 in decreasing order.\nAnswer: 9, 0.3, 2\/9, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.25 and 434595.6.\nAnswer: 434595.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = n. Let u = -1 + n. Calculate the smallest common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*f - 58 = 4*f, 3*f = 5*q - 106. Let d = 485 + -245. Suppose 0 = -0*a - 4*a + d. What is the greatest common divisor of q and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15351509623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - q**2)*(-17*q**3 + 4*q**3 - 162*q**3).\nAnswer: 175*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z + 25. Solve 5*x = -5*b + 25, 0*x + 5*b + z = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**7\/1680 - j**6\/360 - j**5\/20 - 2*j**2. Let q(h) be the third derivative of u(h). Differentiate q(m) with respect to m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*y**2 + 0 + (-y - 3*y + 3*y)*(3*y - 4*y + 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115518900 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 11 - (-12 - (-25 - (-1 - -4))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 39. Give f(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 3*h + 9. Let i(q) = -11*q**2 + 6*q - 19. Determine 6*i(w) + 13*y(w).\nAnswer: -w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/46? (a) -4 (b) -266 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92856 and 238500.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22475 and 870.\nAnswer: 134850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.2257 minutes to microseconds.\nAnswer: 2953542000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3340998361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 120972*g**5\/5 + 826634*g**4\/5 + 1874902*g**3\/15 + 362792*g**2\/15 - 8*g\/5 = 0.\nAnswer: -6, -1\/2, -1\/3, 0, 2\/30243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = 3*h - 0*v, 3*v + 12 = 0. Solve 2*c + 1 = -w - 0, h*w = -3*c - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 1 + 1)*(2 - 4 + 4) + (3*y - 2*y - 3*y)*(-2*y + 2*y - 2*y**2) + 5*y**3 + 0*y**3 - 3*y**3 + 6*y**2 - 6*y**2 - y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 69. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/84 - 4\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 14, -8, -30, -52?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -185*q**2 + 2. Let c(s) be the third derivative of s**6\/720 + 13*s**4\/6 - s**3\/3 + 140*s**2. Let n(f) be the second derivative of c(f). Give w(n(a)).\nAnswer: -185*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.736 + -0.764. Let z = -266634 - -266635.49991. Let i = z + v. What is i rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313485 is divided by 6429.\nAnswer: 4893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5210 + 5209.5. Which is the third smallest value? (a) 5 (b) -5 (c) -30 (d) -3 (e) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110776690 is divided by 42970.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/3451 and 30\/2233.\nAnswer: 37961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)*a**(3\/11)\/a assuming a is positive.\nAnswer: a**(-13\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3*m**4\/4 + 4*m**2 - m - 1487. Let h(b) = -4*b - 4. Determine q(h(p)).\nAnswer: -144*p**2 - 288*p - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3787, 5, 9 in descending order.\nAnswer: 9, 5, -3787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 410?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s + 11. Let b(v) = v + 2. Suppose 0 = -2*j + 4, 3*q - 11 = 3*j - 32. Let m(l) = q*b(l) + i(l). Let w(o) = 3*o. Calculate -4*m(f) + 3*w(f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2931*p**3 + 2*p - 179108?\nAnswer: -8793*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*x + 3, -3*o - 15 = -0*x - 2*x. Let p be (-2 - -3)*(7 - -1). Suppose 5*f - 16 = 2*l, p = 2*f - f - 2*l. Put -1, o, f in increasing order.\nAnswer: o, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 88, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4 - 14. Let j(i) = i + 1. Let u = 2 + 0. Let z = 4 - u. Let n(b) = -b**2 - 9*b - 9. Give s*j(t) + z*n(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Let i be (102\/85)\/(3\/5). Let o be (54\/8 - i) + (-10)\/(-40). Solve -o*n + q = 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6922*m + 27*m**2 - 13835*m + 86*m**3 + 6913*m - 2 to the form x*m**2 + i + v*m + z*m**3 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 205641 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124158, 248319, 372486, 496659, 620838, 745023?\nAnswer: 869214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 886, 3558, 7996, 14188, 22122, 31786, 43168?\n\"Answer: -2*t**3 + 895*t**2 + t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9380597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 114. Which is the closest to g? (a) -2 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 8. Let k be (-5 + 4)*0 - 0. Solve -m - a*m - 6 = k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 + 3789*w**2 - 1194480*w - 1198272 = 0. What is w?\nAnswer: -1, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 - -2?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.1952 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 7 + -2 + -8 + (11 - 4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 7, 0, -2\/7, -2, -18 in decreasing order.\nAnswer: 25, 7, 0, -2\/7, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125)*-2)\/sqrt(9).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 8*h**3 - 614*h**2 - 778*h - 156 = 0.\nAnswer: -1, -1\/4, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -161753?\nAnswer: -161752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.84241 grams?\nAnswer: 13842410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24891.332 - 24871. Round m to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2226240, 4451890, 6677540?\n\"Answer: 2225650*z + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 3. Suppose -v = -5 + u. Factor 3*f**v - 3*f + f - f**2 + 4*f**3 - 2*f**3 - 2*f**4.\nAnswer: -2*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66586 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 12. Let c be b(0). Let u be (7\/14)\/((-2)\/c). Let r be (u\/6)\/(2\/(-12)). Let v(k) = -4*k + 4. What is v(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357180770 to the nearest integer?\nAnswer: 18899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889027 is divided by 173.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 4. Determine c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.6? (a) 14.4 (b) -2\/3 (c) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1161546 and -53.640118.\nAnswer: -1161599.640118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3986*t + 83011. Determine s(-21).\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 - 104 - 21 - 7*v**2 to m*v + i + s*v**2 and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.1 - -9.1. Let u = -7 + 7. Which is the smallest value? (a) l (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a**2 - 39*a**2 + 60 + 11*a**2 + 15*a**2 as x*a**2 + c*a + d and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 13. Suppose -5*n + 3*a - 72 = 0, -5*n + 4*a - 45 - 26 = 0. Let k be (18\/n)\/((-3)\/(-15)). Determine h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/4 + 123*q**4\/4 + 951*q**3\/4 - 5079*q**2\/4 + 1707*q - 705 = 0. What is q?\nAnswer: -10, 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422222 is divided by 645.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43936 - -66029. What are the prime factors of f?\nAnswer: 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11632 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2248 - -2331. What is the remainder when 223 is divided by a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -50 - 10. Let k be b*((-8)\/20 + 56\/15). Suppose w + 4*c + 14 = 0, 5*w = 2*c + k - 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163611 is divided by 348?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/210 - 30*c**4\/7 - 10800*c**3\/7 - 1379*c**2. Let d(x) = 0. What is x?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 133938*m. Let f(t) = 548*t - 1. Give f(l(a)).\nAnswer: 73398024*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 38*p**2 + 45*p + 11. Is s(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(1331) - sqrt(1331)*-2) + 4 + -2*sqrt(1331) + -5 - -2*(2 + 3 + sqrt(1331)))**2.\nAnswer: 594*sqrt(11) + 12056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 + 166*k - 115. Let q be t(23). Which is the biggest value? (a) -1 (b) 96 (c) 3\/5 (d) q (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4. Let z be y(0). Suppose -9*n + 36 = -9. Solve 3*h - z*q = -6 - 14, -25 = -n*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -14. Suppose -5*b + n = 5*k, -k - k = -b - 1. Is (310\/8)\/(k\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/7)\/2)\/((961\/(-217))\/(-31))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 12271?\nAnswer: -12273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than -5975.3?\nAnswer: -5975.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d + 6. Let t(k) = -2*k - 19. Let w be t(-13). Let r be f(w). Let v = 167 - r. Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 13. Let x(f) = -2*f**2. Give x(m(n)).\nAnswer: -18*n**2 - 156*n - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - t - t + 1 = 0, -35 = -5*p + 5*t. Let l = -15 - -19. Suppose 0 = p*y - l*y. Which is the nearest to y? (a) 0.04 (b) 1\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {u: 3, i: 2, q: 2, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23036690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -318 + 321. Suppose 11069 = 2*h + 3*q, n*q - 927 = h - 6457. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5696 + 24576 = 44*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 + 170*g**2 - 43*g - 10. Give c(21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41503 - -2?\nAnswer: -41501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*i**4 + 12186*i**3 - i**2 - 3034030*i + 1.\nAnswer: 432*i**2 + 73116*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/20 + 73\/4. Suppose 2*v + u = 2*n, -2*n + 8 + 24 = 5*v. Suppose 106 = 2*j - 4*a, -3*a = j + n - 39. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*i = 297*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/490 and -115\/294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/20 - p**4\/12 + 24*p. Let w be (4\/(-10))\/((-1)\/(-5)). Determine n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 111. Suppose -l - 2*l + n = 4*u, -4*l + 176 = -4*u. Let z = 43 - l. What is the smallest value in z, 3\/8, 3\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 16 - 11. Which is the biggest value? (a) -13\/4 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnornaaooan. What is prob of sequence nar?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(35\/63)\/(8\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22567 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8204695 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-17 + 8)) + -4 + 7 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 - 377*b**4 - 373*b**3 + 1129*b**2 + 374*b - 752 = 0. Calculate b.\nAnswer: -376, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (26 + 25 - 19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1853*c**2 + 3358*c + 3357*c - 6715*c.\nAnswer: -1853*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (587 + 4844*z - 2423*z - 2419*z)*(-2*z**3 - 2*z**3 + 5*z**3) in the form b*z**3 + d*z + w*z**2 + g*z**4 + o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 3. Find the second derivative of -c*x**3 + 51*x**2 - 51*x**2 + 9*x wrt x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 2*l = 16*r + 1296372, 5*r - 2*l = 3240915. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -35*s**2 - 1457800*s - 19569860 = 0.\nAnswer: -41638, -94\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*z**3 - 2109*z**2 - 1094710*z?\nAnswer: 102*z - 4218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - t + 2*w + 10, 5*t + 5 = -w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100*((-475)\/(-125))\/19?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412000.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/4581 and 52\/1635417.\nAnswer: 1635417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/((1508\/(-66352))\/((-3)\/8)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -74, -0.3, 0.1, -2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30110 or 0?\nAnswer: 30110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 4570*y + 4575.\nAnswer: -5*(y - 915)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**6\/120 + 3*f**5\/20 + f**4\/12 - 4*f**3\/3 + f**2\/2 - 2*f. Let h(m) be the first derivative of v(m). Is 4 a factor of h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 60*u**2 - 2*u - 155. Let m(v) = v**2. Give m(x(s)).\nAnswer: 14400*s**2 - 480*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 33*b**2 + 6*b + 3. Let t be f(-1). Let i be 12\/t + (-39)\/(-15). Solve -i*r + r = -5*g - 10, 0 = -5*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -813*c**3 + 129631*c**2*o**3*p - c*o**3*p - 7887*c*p - 1703*o**3 + 4*o*p + 2*p wrt c.\nAnswer: -4878*c + 259262*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1289518 and 13386.\nAnswer: 3868554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185608, 185854, 186088, 186304, 186496, 186658?\nAnswer: 186784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 30 = -4*o, 4*o + 39 = 210*k - 209*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 11, 11, -5, -43, -109?\n\"Answer: -g**3 + g**2 + 14*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sstx when four letters picked without replacement from wxttxwxxsssxttttts.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (24 + (-52 - -5) - -33).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*c = -8 - 17, 2*j + 3*c - 35 = 0. Suppose -369 + 39 = -j*y. Is -92*(1 + y\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514 at least as big as 2514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773694, 773716, 773738?\nAnswer: 773760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.0358 (b) -19.9 (c) -1 (d) -3\/2 (e) -1.9 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -27\/25*k**5 - 21\/5*k**3 - 22 + 6\/5*k - 9\/10*k**2 - 15\/4*k**4. Factor z(f).\nAnswer: -3*(f + 1)**3*(9*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 17\/12*q**5 + 73\/210*q**7 - 53*q**2 + 0*q**4 - 1 + 0*q**3 + 0*q**6 + 0*q. What is the third derivative of p(k) wrt k?\nAnswer: 1752*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -11*d + 325. Suppose -d + 202 = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*k - 455185, -k + 28395 + 62634 = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 11*j)*(-2*j - 20*j**2 + 9*j**2 + 17*j**2).\nAnswer: -66*j**3 + 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 116\/9*w**4 - 19968*w + 3456*w**2 + 46080 - 2\/9*w**5 - 896\/3*w**3 = 0. What is w?\nAnswer: 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 56537 and 30260.\nAnswer: 86797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 7, -4.7, 27, -0.2 in descending order.\nAnswer: 27, 16, 7, -0.2, -1, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85906*j**3 - 308997 wrt j?\nAnswer: 257718*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-10)\/(-35) + (-10)\/(-14)). Is i - (1629\/(-3) + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 8. Let x = -4 + -6. Let u be q(x). Let l(v) = -v. Let z be l(u). Which is the biggest value? (a) 3 (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 2. Let d be 1\/2 + (-6)\/(-4). Let l(u) = -4 + 3 + 3 + u**3 - u**d - 1. Let b(y) = 11*y - 23. Let x be b(2). What is x*m(h) - 2*l(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -20 + 10. Factor 80*h**4 + 0*h**5 + 5*h**g + 105*h**3 + 395*h**3 + 2647*h + 1520*h**2 + 1280 - 407*h.\nAnswer: 5*(h + 2)**2*(h + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let g be (4 + 25\/(-10))\/(2\/4). Solve -q = f, -b = g*b - q - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 29*m + 29. Let v be a(-14). Let x be 12\/16 + v\/(-4). Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 23) + -1 + 0 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 - 4*m**2 + 260 with respect to m.\nAnswer: 8*m**3 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54\/225 - (-151040)\/4000\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1\/2*a**2 + 6 - 443\/4*a**4 - 4\/3*a**3 + 0*a. Let h be z(3). What is h rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -1.8. Let f = -0.6 + n. Let h = -2.2 - -2. What is the nearest to 0.1 in f, h, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 - i - 5. Let r be n(-8). Let k(p) be the second derivative of 1\/2*p**4 + 0*p**3 + 2*p**2 - r*p + 0. Differentiate k(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657495 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13061, 11849, 9829, 7001, 3365?\n\"Answer: -404*p**2 + 13465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715893 and 352089?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 - 49*k + 282 to b*k + f and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -87*t - 44. Let u(n) = n - 1. Let m(p) = k(p) + 2*u(p). Let c(o) = 17*o + 9. Let h(f) = -11*c(f) - 2*m(f). Does 7 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 414\/(-8)*(-1)\/3 and ((-54)\/90)\/(-19 + 20 - (-226)\/(-205)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 22*a**2 + 24*a - 61. Let f be z(21). Solve -4*w - 2*o - o = 0, -f*o = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*c - 145*c + 2591 + 2331 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 3. Let l(k) = -2*k + 3. Let x be l(w). Let v = 27.76 + -23.76. Which is the closest to x? (a) 1\/11 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 82*n + 305. What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 5}. Give prob of sequence kkq.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*13\/((-104)\/(-48)). Sort 0, -2, g, 12 in descending order.\nAnswer: 12, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 13*r - 14. Let o be m(5). Sort o, 0, -9, 5 in descending order.\nAnswer: 5, o, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6240783.\nAnswer: 3, 2080261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-50)\/((-1350)\/(-369)).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1634 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13204 by 17.\nAnswer: 13204\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*r + 3 = -2, -5*n = -2*r - 56. Calculate the remainder when 2\/n - 828\/(-10) is divided by (0 - (1 - -1)\/2)*-21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33089 = -1244*f - 37819 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2\/9 + 32*q\/3 - 100\/9 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19176150 to the nearest ten thousand.\nAnswer: -19180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 172, -16 in ascending order.\nAnswer: -16, -3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4052*o - 981*o + 307013 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27.8? (a) -0.4 (b) 0.4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times 497360?\nAnswer: 40783520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 321\/(-3)*15\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**3 + 2*y**4 + 0*y**4 - 3*y + 8*y**3 + 1 + 7*y to q*y**2 + c*y**4 + l + h*y + d*y**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*12165\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-15)\/(-525) + 52\/(-70). What is the nearest to -4\/5 in 2\/5, h, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-1222)\/(-2) - -2. What is j rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2694, 0, -4, 5 in descending order.\nAnswer: 5, 0, -4, -2694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*b - 157 - 354, 400 = -4*b - 3*q. Let l = b + 109. What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1350051 (base 8) to base 10\nAnswer: 380969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 22. Let r be (-10 - 1 - -3) + 5. Let d be h(r). Solve -13 - 12 = -d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:52 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g - 7*c + 3*c, -5*c = 4*g - 21. Suppose -4 + 0 = -g*v. Solve -3*x - v = -10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 18*d**2 - 30*d + 17. Let g be b(16). What is the greatest common factor of g and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8*j = 0. Let l = j + 5. Suppose -2*f = -l*b - 31, 4 = -2*f - 5*b - 15. Solve o + 3*c = -0*o + 4, -f*o - 2*c + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -618*f. Let b(k) be the first derivative of 2*k**3 - 461. Give b(l(h)).\nAnswer: 2291544*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 5*z + 33 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318*d**2 + 2 + 672*d**2 + 649*d**2 - 9.\nAnswer: 3*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48456 + -25681723\/530. What is the common denominator of -76\/477 and r?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.392149 to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (46 - 2)\/4. Let z(t) = -t - 7. What is z(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542367526.\nAnswer: 2, 3, 19, 101, 160453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*c + 12 = 0, 4*q + 4*c - 20 = c. Suppose 4*o + 5*z - 161 = 0, q*o - 3*o + 5*z + 59 = 0. What is the highest common factor of 110 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*j - 4, 3*j - 2 - 15 = -4*v. Solve -g = -x - 0 + j, 5*g + 15 = 4*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 342.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -50. Find the third derivative of -4*y**4 - 15*y**2 + t*y**2 + 7*y**2 + y**4 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h + 10 = 0. Let x be h*(2 - (-156)\/(-15)). Suppose -x = -4*u + u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(11) + 3).\nAnswer: sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 33 + 63 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 23 = j, 5221*j - 5218*j - y = 58 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3321 is divided by 50.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, m: 5, s: 2}. Give prob of picking 2 l, 1 m, and 1 s.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -87, -258, -521, -882, -1347, -1922?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m + 22*m + 120*m + 36*m + 139*m.\nAnswer: 240*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2\/6 + 1445*m\/6 + 17200 = 0?\nAnswer: -160, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 2 - -3 - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14*(2 + 13 - (-4940)\/(-364))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 8. Let x be c(-6). Is 0\/x - 12\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, l: 4, k: 3, y: 1}. What is prob of sequence lllk?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*f - 28, 0 = 5*y - 10 - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 - 6*g - 1. Let f(a) = 46*a**2 - 1. Let o be f(-1). Let k = o + -50. Calculate v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 10. Let c be j(8). Suppose c*i - 131 = i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48500256 or 48500255?\nAnswer: 48500256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186 - -8?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298346 - p + 298353 - 596699.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 11550062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p = 86*p + 5*v - 33, -2*v + 27 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -0*q, -4*f + 4*q = -36. Let k be (-3 + 4)\/(2\/f). What is the third derivative of -13*g**4 + 13*g**k + 3*g**2 + g**5 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 30, 31744 = -18*u - 2*z - 22892. Is u < -3036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b - 23. Let g(t) = -4*t - 52. Let a be g(-12). Let v be o(a). Is (v\/(-15))\/(12\/(-1905))*-52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609*y = -606*y + 127560. Round y to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84744073, -84744060, -84744047, -84744034, -84744021?\n\"Answer: 13*i - 84744086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 5*m)*(7 + 7 - 9)*(0*m**3 + 2*m**3 - 3*m**3).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b - ad1?\nAnswer: -9a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -12*o + 33. What is the second derivative of -13*v + 217*v**o - 218*v**2 - 2*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3226 take away -0.5?\nAnswer: -3225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (60\/70)\/((-8)\/(-28)*(-24)\/(-64))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 8 + 37*a + 4 in the form y*a + o and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26487 = -181*q + 20514 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129580 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**2 - 87*b + 1262. Give d(10).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 1, i: 2}. What is prob of sequence jiiz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1369, -10 in ascending order.\nAnswer: -1369, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*v + 19, 2*t - 28 = -2*t - 4*v. Suppose -3*y - 149 = -t*z + 3, 5*y = 2*z - 57. Solve 2*a - 25 = -z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1)\/n*n))\/n**(-1)*(n**(2\/3))**(-2\/9))\/((n**(-2\/3)*n**(-4))\/(n**(1\/3)*n*n\/n**(2\/13)*n*n)) assuming n is positive.\nAnswer: n**(4106\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91615112?\nAnswer: 2, 19, 43, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29250891 from -33490.31.\nAnswer: -29284381.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4 + 13*j**3\/3 + 13*j**2\/2 + 13*j - 189. Let f(z) = -z**3 - 3*z**2 - 3*z - 3. Calculate -26*f(q) - 6*x(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 3*w - 137 + 29*w + 43*w. Is o(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.03. Let v = w + -4.6. Round v to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82942 divided by -6?\nAnswer: -41471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -79, -2, -96, -7, -4 in descending order.\nAnswer: 5, -2, -4, -7, -79, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1253 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2584, -21\/5, 5 in descending order.\nAnswer: 5, -3, -21\/5, -2584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3555 - 22\nAnswer: 3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 11. Let b(t) = -224*t + 11. Determine -5*b(f) - 5*v(f).\nAnswer: 1135*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 601 + -307. Sort j, -4, -5, 2 in descending order.\nAnswer: j, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784779317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.049 - -0.149. Which is the closest to g? (a) -6 (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137262.2 take away 10?\nAnswer: 1137252.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13331 + 3?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*b - 1352 + 664 + 599 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(3328)*6 + sqrt(3328) + sqrt(3328) + sqrt(3328) + 2 + sqrt(3328) + 1)*-4)**2 + -3.\nAnswer: 8192*sqrt(13) + 13631501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82753 or 83847?\nAnswer: 83847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3049\/11 - 277. What is the nearest to -1 in 0.3, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -5205?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2032 - 38*m + 2032 + 1 - m - 5 + 3 + (0 - 1 - 1)*(4*m - 2*m + m) to v + a*m and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -114*y + 9395. Give h(84).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 16 - 1. Which is the nearest to -0.1? (a) 3 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-2)\/(-3))\/(-1))\/(8\/(-276)). Suppose -4*o + u = 11. Solve 0 = 2*l - l - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 124*r**2 - 5514*r - 574. What is s(92)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.363 - 0.36299679. Round u to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2370868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 2*c**2 - 3*c - 5*c**2.\nAnswer: -7*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6625, -5256, -1531, 5726, 17691?\n\"Answer: 196*l**3 + 2*l**2 - 9*l - 6814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from rrkkrrrrrrrkrrrkkk?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = z + 3*z - 6, -5 = -4*z + i. Let o = z + 5. Solve -v = -o + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 11082?\nAnswer: -11085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqfq when four letters picked without replacement from {f: 2, n: 1, q: 2, y: 2, o: 1, p: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3508, -6879, -10252, -13627, -17004, -20383, -23764?\n\"Answer: -v**2 - 3368*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2 in 0.7, -0.5, 3, 148?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -3, -1\/4, -1717.\nAnswer: -1717, -10, -3, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -2 + 0 + 10. Sort w, 12, -1 in increasing order.\nAnswer: -1, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008740 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109723 + 109722.8. Suppose -3*t - 4 = t. What is the closest to x in -3, t, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -43. Which is the fourth smallest value? (a) 47 (b) l (c) -0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19033957, 19033956, 19033955, 19033954, 19033953, 19033952?\nAnswer: 19033951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 659170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.64633 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**3 + 7*z**2 + 4*z + 2. Let b(a) = -a**2 - a - 1. Calculate 4*b(v) + n(v).\nAnswer: 11*v**3 + 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.62 - -9.6. Let n = 5362 + -5360.98. Let p = n + k. Which is smaller: p or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - 2*w + 6. Let h be f(4). Solve -1 - h = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -962*o + 45. Let t(w) = -964*w + 70. Calculate 3*r(k) - 2*t(k).\nAnswer: -958*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 - v - 1. Let s be x(-1). Suppose s = 4*p - 2. Suppose -k + p*k - 35 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vjpmmpmmmimmmmvmmmiv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (261*b + 1233*b - 252*b)*(-22 + 4*b**3 + 22) as q*b**3 + l + d*b + v*b**2 + n*b**4 and give n.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1336300 by -115.\nAnswer: 11620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -w - n - 4*n, -7*w = -3*n - 1994. Calculate the greatest common factor of 1394 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - ((-2)\/1)\/(-2). Suppose 2*f - 4 = 0, 2*d + 2*f = 4*f + 18. Let q = r - d. Calculate the lowest common multiple of q and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1458*d**2 - 5*d + 2. Let a be f(3). Let k = -62109 + a. What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g**3 + 102*g - 98*g + g**2 - 16*g**3 + 4. Let m(k) = 2*k**3 - 2*k**2 - 5*k - 5. Give -4*m(l) - 5*q(l).\nAnswer: 2*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j - 47 - 24*j + 2. Let k be y(-9). Let q(f) = f**3 + 19*f**2 + 12*f + 1. What are the prime factors of q(k)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -339922\nAnswer: -48\/169961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (120\/35)\/((-9)\/(-189)). Find the first derivative of -26 - 45 - l*t - 19*t - 8 + 7*t wrt t.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - 8*t + 3. Let c(y) = -2*y**2 + 36*y - 3. Let j be c(17). Let b = -39 + j. Let i be r(b). Solve -8 + 20 = -i*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4404, 4387, 4358, 4317, 4264?\n\"Answer: -6*t**2 + t + 4409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280440.\nAnswer: 2, 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27783*u**3 - 38749*u**3 - 190688*u**3.\nAnswer: -257220*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16195 = 281*s + 22377 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 19. Solve o = 2*k - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779 smaller than 10914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -835*w - 204. Is 34 a factor of f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v + 25*v - 12753. Let r = -318 + v. What is the remainder when 53 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -40. Suppose 0 = m*j - 6*j + 2164. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388392 divided by 6\nAnswer: 64732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 4)*(-5*z**2 - 10*z**5 + 5*z**2) + 14*z**4 - 14*z**4 + 18*z**5.\nAnswer: -62*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000939118 rounded to 7 decimal places?\nAnswer: 0.0000939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1364429\/195 or 6996?\nAnswer: 1364429\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -0.1, -2\/3, 2\/313 in ascending order.\nAnswer: -2, -2\/3, -0.1, 2\/313, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + 3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - (-41 - (-20 - -12))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5925*u. Let y(o) = 10*o - 78*o + 10*o + 18*o + 39*o. Give y(a(p)).\nAnswer: 5925*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 6.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*((2*sqrt(704) - sqrt(704)) + sqrt(704)))**2.\nAnswer: -256*sqrt(11) + 45060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keekeokkkee. Give prob of sequence oe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 16*j + 67. Let t be c(-5). Let d = t - -65. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/56*4\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 2. Let q be l(-2). Let w(z) be the first derivative of -2*z**2 - 3*z + 1. Is w(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 + 469*i**2 - 92 - 71*i**2 + 39 + 2*i with respect to i.\nAnswer: 796*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 12. Let m be n(-27). What is the units digit of (3\/(-5))\/(-1)*5*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.8 - -18. Which is the biggest value? (a) f (b) 2\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 2*m)*(-2*m**3 + 2*m**3 - 2*m**3) + 2*m**4 - 9*m + 7*m + 4*m**4 - 2*m**2.\nAnswer: 10*m**4 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87239.\nAnswer: 23, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.745 + 16.2. Round a to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 54. Let s = -13262 + 13234. Give p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*k**2 - 14*k**2 + 26*k**2)*(k + 1 - 1).\nAnswer: 97*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 770231239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. What is the smallest common multiple of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-588)\/572 + (-2 - (-96)\/52). Suppose -16 = -5*h - 3*h. What is the second biggest value in h, -48, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0)*4\/(-8). Suppose -3*f + 10 = o, -z + 2*f = -12. Suppose -3*s - 6 = 2*a - 81, 66 = 3*s + 5*a. Calculate the greatest common divisor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 9*f - 364 = f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*h**4 - 171.\nAnswer: 372*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let d(i) be the third derivative of -i**4\/24 + i**3\/6 - 21*i**2. Let n be d(r). Put -2, n, 5 in increasing order.\nAnswer: n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/2*b**2 - 75\/2*b + 6875\/2 - 1\/2*b**3.\nAnswer: -(b - 11)*(b + 25)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(675) - sqrt(27)) + 4)**2.\nAnswer: 480*sqrt(3) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1105 and 43732.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*n + 143. Let f = n - 29. Solve 4*p + f = 3*a, -3*a + 2*p = -0 - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -327bea + -5?\nAnswer: -327bef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 1 + 1)*(13 + 4 + 1) + (2*t - 4*t + t)*(-3 + 2 - 4).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 + n**5\/5 - 5*n**4\/8 - 31*n**3\/6 + 40*n**2. Let v be f(-13). Which is the third biggest value? (a) 3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*5*(-48)\/540?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-10)\/4. Let z(x) = x**3 - 2*x**2 + 2. Let p be z(q). Solve p = 2*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 19*g + 221 = -131 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 2*o. Let d be b(2). Let n be ((-6)\/8)\/((-3)\/(-24)). Let g = n + d. Solve 0 = 3*l - 3*a - 19 - 2, -2*l = 2*a - g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5446742411 take away -3?\nAnswer: 5446742414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 - 114*o**2 + 14*o - 179. Let q be r(-23). Solve 81*x - 85*x = 3*a + q, x = 5*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-57*r + 109*r**2 + 57*r + (r**2 + 5*r**2 - 3*r**2)*(4 + 0 - 5)) to o*r**2 + s + k*r and give o.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5167*b**2 + 31003*b + 4. Give o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 9. Let q(l) = 7*l + 17. Let y(p) = 3*q(p) + 5*t(p). Suppose -d = -0 + 2, 4*d = 4*r - 16. Let n be r + (1*-9 - -2). Determine y(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 235*p**4\/24 + 15*p**3 - p**2 + 28*p. Find the first derivative of x(v) wrt v.\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138308 or -553237\/4?\nAnswer: -553237\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -120 (b) 1 (c) -0.1 (d) -44 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 386 times -0.02336\nAnswer: -9.01696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 18*t**3 + 33*t**3 + t.\nAnswer: 51*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + l. Solve l = 2*v - b - b + 4, 2*v + 10 = 4*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 32*n**2 + 109*n + 4687. What is l(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 34 = -g + 47, 3*y - 2*g = -50 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from iihikikkkhihkkkhhhkh.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-8)\/(-16)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 60 - 72, -19 = z - 3*b for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h**2 + 21*h + 1. Let b be y(4). Let q = 397 + b. Calculate the remainder when 48 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 41*w - 362. Give i(9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v**3 + v**2 - v - 1. Let f be q(-1). Suppose -5*j + 3 = -7. Suppose 0 = -j*w - w + f. Calculate the greatest common factor of 88 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 2\/33*r**3 - 7\/33*r**6 + 38\/55*r**5 + 63 + 2\/11*r**2 + 0*r - 15\/22*r**4. Find s such that p(s) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 - 3566500*v**2 + 7133015*v - 3566510 = 0?\nAnswer: -713302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -97358.3094 rounded to the nearest one hundred?\nAnswer: -97400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 6. Let y = h - 13. Let i = y + 19. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i. Let q(f) = -2*f**2 + 14*f + 3. Give -q(y) + 4*z(y).\nAnswer: -2*y**2 - 10*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/9 (c) 4 (d) -0.015 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14102, -14098, -14094, -14090, -14086, -14082?\nAnswer: -14078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2866, 0, -0.3, 8, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 - 7 + 2*v**2 - 2*v - 4*v + v**3. Let r(i) = 26*i**2 + 3*i + 2. What is the remainder when r(-1) is divided by c(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-6885)\/68)\/45\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117*m - 456 = 1105*m. Let a(n) = -2*n - 13. Let z(p) = -3*p - 25. Let f(i) = -11*a(i) + 6*z(i). What is the remainder when m is divided by f(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let v be i(-3). Let s be (-5)\/(-3) - 1\/v. Find the third derivative of -3*f**3 + 4*f**3 + 2*f**s - 3*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58938)\/(-266) + 3\/7. Suppose 0*o + q = 2*p - 2*o, -4*o = 2*p - 198. What is the remainder when p is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -4 in decreasing order.\nAnswer: 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**2. Let w be 30\/(-16) + 19\/(-152) - -50. Let y(k) = -3 + w*k**2 - 53*k**2 - 1 + 4. What is r(y(u))?\nAnswer: 350*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212222201220001 - 11?\nAnswer: 212222201212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(6*(sqrt(16)\/sqrt(2) - sqrt(8) - sqrt(8)))*-2.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 83, 30, -87, -292, -609, -1062?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046833793 rounded to six dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866 a factor of 1069846274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426795 or 426792?\nAnswer: 426792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 4*h. Let n be t(-3). Let y(o) = -o + 1. Let w(u) = -7*u + 2. Give n*y(r) - w(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p + 20. Let u = 6 + p. Solve 2 - 8 = -u*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -122*t**2 + 0 + 1\/3*t**4 - 1\/30*t**5 - 1\/2*t**3 + 0*t. What is the second derivative of i(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2662805 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Suppose -j*i - 30 = i. Let s = i - -10. Which is the third smallest value? (a) s (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-2)*(-9)\/756*9*(-54)\/(-81)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let f(o) = 10*o**2 + 1. Let d = 114 - 113. Let r be f(d). Solve -p*q + 2*s - r = q, -2*s = -4*q - 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507 + -505. Let 1261 - 174*k - 47*k + 21*k - 533 + 1772 + 4*k**r = 0. What is k?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + 2 + (-44 - -40)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l - 2. Let m(z) = z**3 - 2*z**2 - 2*z + 1. Let q be m(3). Put l, -4, q in descending order.\nAnswer: q, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2993)\/2948 + -1 + 2. Let g = j - 1\/134. Let q = 31\/88 - g. Sort -1, -2, q in ascending order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25997 is divided by 25130?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-26240)\/1008 + 60950\/2898?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/9 + 135\/162)*(-20)\/25?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-10)\/((-720)\/27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2 (c) 1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4248181 and 707455?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4\/3)*n)\/(n\/n**27))\/(n**(3\/4))**(-1\/2))**(-9\/7) assuming n is positive.\nAnswer: n**(-1875\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 244*d - 485*d + 247*d)*(-4 + 2 - 1).\nAnswer: -18*d - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*-1*(-30)\/800*8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 1, -4\/5, 716, -3.\nAnswer: -3, -4\/5, 1, 233, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -177*m**2. Let d(w) = -4*w + 1. Let h(c) = 17*c - 4. Let b(t) = 4*d(t) + h(t). Calculate b(r(f)).\nAnswer: -177*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27601 is divided by 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30860.11 - 30717. Let j = 141 - g. Let w = 0.11 + j. Sort 0.4, w, 2\/11 in ascending order.\nAnswer: w, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6860182 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282950, -565882, -848814, -1131746, -1414678, -1697610?\nAnswer: -1980542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:00 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10*((-984)\/240)\/41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + -62. Let k = u + -11. Suppose 1040*r - 1015*r - 1050 = 0. What is the remainder when r is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 1 + 2*v**3 - 3*v**3 - 2*v**3 - 24 in the form n*v**3 + k*v**2 + j + y*v and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138587375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*l**2 + 18813*l - 3135.\nAnswer: -3*(l - 1045)*(6*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-45*10\/(-6). Suppose 0 = -3*p + 5*n + 49, -4*p + k - 5 = -2*n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4340044*l**5*n**3 - l*n**3 + 4*l*n**2 - 4153*l*n + l + 1 wrt l?\nAnswer: -86800880*l**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20002021021 + -11?\nAnswer: -20002021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 12?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y - 1. Suppose -n + 16 = 3*n. Suppose -m - 3 = z + m, -n*m = -3*z + 21. Calculate the remainder when v(-1) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20))\/(150\/(-1125))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29415718583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4241, 4819, 5397, 5975, 6553, 7131?\n\"Answer: 578*q + 3663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 431?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2)\/(-1) - 108\/90?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v. Let y(s) = -5*s**2 - 2*s**2 + 0*s**2 + 0*s**2. Determine t(y(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25048 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -42. Solve -5*k - 38*k**3 + n*k**3 + 3*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n. Let l = 210 + -205. Let o(z) = 3*z + 1. Determine l*o(y) + 4*q(y).\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 579, 241, -321, -1107, -2117, -3351?\n\"Answer: -112*z**2 - 2*z + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 73, 66, 57, 46, 33?\n\"Answer: -b**2 - 2*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2 + 1)\/(-2). Let g = x - 6. Calculate the smallest common multiple of 63\/g*8\/(-6) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -36*l**2. Let c(k) = 95207*k. Give i(c(n)).\nAnswer: -326317422564*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l = -29*l + 3*q - 148, 5*l - 821 + 759 = -q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1 + 2*(-35)\/28?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eclvsslct. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkwkkwkkkkkkk.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 36\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 10*z**2 + 9*z. Suppose 1 = -12*w + 73. Let r be n(w). Calculate the greatest common factor of 36 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(405) + (-2*(sqrt(405) - sqrt(405)*-2) - sqrt(405)))**2 - ((sqrt(5) - (sqrt(605) + -2)**2)*-4 + 0)*3.\nAnswer: -6903 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2330646021 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u**(-3\/4)*u*((u**(-1\/3)\/u)\/u)\/u**(-7))\/((u**(-1)*u)**(-2\/15)\/(((u\/u**6)\/u)\/(u**0\/u))) assuming u is positive.\nAnswer: u**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 + 8*z + 2. Let i be p(-8). Suppose -i*f - 2*f = -20. Is 3 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 55. Let p(t) = -10*t - 110. Let r(u) = 9*j(u) + 5*p(u). What is r(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let n(g) = g**2 + 2*g. Let o(i) = 5*i**2 + 11*i. Let f(l) = 11*n(l) - 2*o(l). Give t(f(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 7, d: 1, t: 3, o: 6}. Give prob of picking 1 o and 1 v.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nnnbnnnnb.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 1, -41\/2, 1145, 5, 0.5 in ascending order.\nAnswer: -69, -41\/2, 0.5, 1, 5, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14127074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32798 divided by 529\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/24 and -151\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-57)\/76*15\/50?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1144052496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/(-4 + -1)*1\/(-2). Let l = -8 + x. Suppose -3*d + 14 = -d. Solve -d = 5*v - 2*p - l*p, 0 = -3*v - 3*p + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31609, -31618, -31641, -31684, -31753?\n\"Answer: -a**3 - a**2 + a - 31608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 56 - 76 = 0. Suppose 0*p - s = -3*p. Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/44 + 304\/(-88))\/(-2). Put -5, 4, w, -3 in descending order.\nAnswer: 4, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -3*g + 14*k, -2*g = k - 4 - 1 - 2 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, -2\/13, 2, -37?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2010 = -5*l - 3*z + 8*z, 2*z = -3*l + 1221. Calculate the lowest common multiple of l and 6.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1572530*m**4 + 15*m**2 - 4300 wrt m.\nAnswer: 37740720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(156\/8 + -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*n - 2. What is the second smallest value in n, -6, 0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/2*(-66)\/(-4). Let q be (-92)\/(-10) - (3\/15 - 0). What is the highest common divisor of v and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82c83e (base 15) to base 13\nAnswer: 1399667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 3*m + 0*m - m + m - 3*m + (5*m - 3*m - m)*(-1 + 2 + 1) + 4*m - 3*m - 3*m + (3*m + 2*m - 2*m)*(1 + 13 + 46) + (-1 + 0 + 0)*(-2*m + m + 2*m).\nAnswer: 177*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929.7 - -75.7. Let m = 853.95 + j. Which is the closest to 0? (a) 3 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9 = 3*r + 3, 0 = -r - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3, -4*l - 29*d + 3 = -45*d + 21*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - (-32)\/(-5))\/(2\/10). Does 7 divide (5 + (-49)\/14)*(-56)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let u(j) be the second derivative of -1\/6*j**3 + 0*j**2 + 0 - 9*j. What is u(s(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6732.877mg to grams.\nAnswer: 6.732877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4*n**5\/25 + 23*n**4\/20 - 26*n**3\/15 - 4*n**2\/5 - 337. Let t(x) = 0. What is x?\nAnswer: -1\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -368.754 to the nearest integer.\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)\/(j*j**(-25))*j**(-2\/57)*j\/(j*j**(-23)*j))**(2\/91) assuming j is positive.\nAnswer: j**(2390\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/330 and 41\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/97)))\/(f*f\/(f*(f\/(f\/(f*f*f**(19\/5))*f*f))\/f)*f)*(f*f**(-14))\/(f*f**6) assuming f is positive.\nAnswer: f**(-9302\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45196 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046*d**5 - 559*d**3 - 1670610*d**2 wrt d.\nAnswer: 62760*d**2 - 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 87. Let d = z - 20. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*k - 3*s - 56, 5*k - 59 = 2*s. Solve 26 = k*j - 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969489 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*m - 11 + 29 = 0, -m = 3. Let p(a) = -a**2 + a + 18. Let v be p(5). Sort v, -11, o in descending order.\nAnswer: v, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/(150\/225)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11463 and -2.6?\nAnswer: 0.298038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625036 is divided by 1381.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/(-63) + 0 - -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j**7\/j))\/j*j)**(1\/24)*(j*j**(-2\/3)*j)\/j**(-6) assuming j is positive.\nAnswer: j**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4906 - 1c02?\nAnswer: -6808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:48 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 477. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-7)\/7*2 + 5. Factor -3\/2*m - 3\/4*m**3 + 9\/4*m**2 + f.\nAnswer: -3*m*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 8. Suppose -4*j + 1 + 7 = 0. Suppose 31 - 1 = j*y. Calculate the remainder when y is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 624 = 11*d. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:59 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 437681 or 437685?\nAnswer: 437685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(135\/(-93)) - (-42)\/(-63).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -1401.\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033162 divided by -516581?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 2*l**3\/3 - 3*l**2\/2 + 4*l + 1. Suppose 8*w + 12 = 4*w. Is o(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (648\/40)\/((-13716)\/(-30480))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3822\/(-8372)*184\/(-112)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from kvpfjzjv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -3, 31, -4, -2 in descending order.\nAnswer: 31, -2, -3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/24 + d**3\/2 - 7*d**2\/2 + 5*d. Let m(f) be the first derivative of p(f). Give m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h + 163. Let c be u(-35). Suppose c + 4390 = 9*j. Round j to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 112?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**13*m*m**0)**(11\/3) assuming m is positive.\nAnswer: m**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 31*t + 11. What is w(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/20512 and -1\/6?\nAnswer: 61536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605)*2 - sqrt(605)).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/445 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37822*q**4 - 2*q**5 + 6*q**5 + 37817*q**4 + 3375*q**2 wrt q?\nAnswer: 240*q**2 - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqd when three letters picked without replacement from bdgpqda?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 133. Let a(h) be the third derivative of g*h**2 + 0*h + 0 + 1\/12*h**4 + 5\/6*h**3. What is the first derivative of a(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21955100 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-580)\/6*(-362)\/5430. Determine j, given that -10*j**2 + 96 + 2\/9*j**4 - 48*j + h*j**3 - 2\/9*j**5 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4)**2 + 1*sqrt(20)\/sqrt(4).\nAnswer: sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*r - 2 + (-r + 2*r + r)*(4 - 2 - 1) - 740 + 305*r + 740 in the form o*r + k and give o.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27322794.\nAnswer: 2, 3, 1517933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-20 - -33) + -4 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/64)\/((-95)\/114)*4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 54. Let k = 15 + r. Let q = k + 74. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 0, 10 - 2 = -2*g - 3*u. Suppose g*j - 21 = -j. Suppose 8*n - j*n = 3. Solve -n*b + 5*r = 2*b - 5, b + 3 = 2*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h + 3*h**2 + (6 - 3 + 2)*(0 + 0 + 2*h**2) - 2 + 2 - 2*h**2 + (3*h - 2*h + 0*h)*(14 - h - 14).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84\/(-42)*(-41)\/2*1 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 5659*d**2 + 3*d + 0*d - 5666*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1291886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((63\/(-14))\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2 (b) 5\/87 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-6*y + 4*y + 3*y)*(-5 + 2 + 1)*(3 - 4 + 3).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-1912)\/24)*(-4 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 55. What is the remainder when 108 is divided by i(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 + 3772864*h + 5337938535936 = 0. What is h?\nAnswer: -2829648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.382 - 7.782. What is the smallest value in b, -1, 794?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2681355.\nAnswer: 3, 5, 178757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - 27\/(-81)*(-18)\/(-1). Which is greater: -0.084 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 1. Let l(v) = 188*v + 186*v - 375*v. Let y(b) = 6*b - 3. Let h(k) = 4*l(k) - y(k). What is -2*h(u) + 7*w(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8151 is divided by 4066?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 - 13677*l**3\/4 - 2170197*l**2 - 492450108*l - 37963897392 = 0. Calculate l.\nAnswer: -3851, -236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 176584338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056 is divided by 410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160000688?\nAnswer: 2, 2089, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*((sqrt(448)*2 + sqrt(448))*-3 - -1*(1 + sqrt(448)))*1)**2.\nAnswer: -2048*sqrt(7) + 458770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:57 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*f - 4*f - 43, -12 = -2*i - 3*f. Solve -4 = -l - 0, -i = 3*a - 3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20562, -82255, -185050, -328929, -513874, -739867, -1006890?\n\"Answer: 3*r**3 - 20569*r**2 - 7*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1. Let r(w) = w**2 + 1. Let s(t) = -2*q(t) - 2*r(t). Let v(d) = -d. Determine v(s(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m - 12. What is the remainder when 53 is divided by l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25527554 to the power of 1\/2, to the nearest integer?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-23 - -11 - -3) - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-9)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 996 + 160*a - 158*a + 1047 in the form c + l*a and give c.\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 24*z**2 + 3 - 2 + 0.\nAnswer: 24*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:56 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 18*d. Suppose d = 5*s - 194 + 164. Solve 0 = -3*w - 6 - s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644741709 - 644741709 - 51*p.\nAnswer: -51*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -8*v + 295. Calculate the highest common divisor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000000489 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*z - 18300 = 0. What is z rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -51.895. Let q = -0.005 + c. Let w be (6\/15)\/(2\/10). Is q at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253269000 = 28*r + 79*r. Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b430 (base 14) in base 12?\nAnswer: 70782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11981)\/(-84) + 6\/(-21)*-1. Let q = -439\/3 + w. Find the common denominator of 5\/54 and q.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-22)\/12))\/(-5*(-10)\/125).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 11432 = 1992. Let h = 449 - x. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77400522 divided by -333?\nAnswer: -232434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 + 4 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r - 4. Let m be k(-3). Let i(p) = 16*p**3 - 4*p**2 + 3*p. Let x be i(1). Suppose 4*z - m = -2*j, -2*z + 40 = -j + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/((-84)\/(-2156)*-11)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12762099, -25524198, -38286297, -51048396?\n\"Answer: -12762099*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmokfkkfomnm. Give prob of picking 1 n, 1 o, 1 m, and 1 f.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49492, 49476, 49434, 49354, 49224, 49032, 48766, 48414?\n\"Answer: -2*n**3 - n**2 + n + 49494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 2*i**3\/3 + 2*i**2 - 6*i - 4. Let r be a(-3). Suppose -j - 2 = 0, 4*j = 3*n - r*n - 437. List the prime factors of n.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + -1 + sqrt(242) + 3 + -2)*6)**2.\nAnswer: 3960*sqrt(2) + 9612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (36 - ((-18 - -11) + 24))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -325? (a) -4\/7 (b) -1 (c) 0.94 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 163*m + 64412. Calculate h(185).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425))**2 - sqrt(17) - sqrt(17))*4.\nAnswer: 32*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11 + 0 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333079629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 11*j + 6. Let u be v(11). Suppose u*p = 19 + 11. Calculate the remainder when 17 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/5939 + -291027\/47512. Calculate the common denominator of x and 9\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.5 times 0.3\nAnswer: -9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (4 - 5) + -17. Sort d, 0, 3 in ascending order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2463*n**2 + 131*n + 25. What is the units digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25338 - 22*q**2 + 25224 + 24*q**2 + 636*q.\nAnswer: 2*(q + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, -2, -81, -250, -539, -978, -1597?\n\"Answer: -5*o**3 + 16*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1886 and -35\/164?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 4, 0.2, -1\/8, -53?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 minus -651004626?\nAnswer: 651005537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-696)\/(-116)*14\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-3 + 2)) + 2. Let t = -6 + 6. Does c = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3.09 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 49, 58, 67, 76, 85?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11507*n**4 - 4*n**3*t - 8568*n**2*t + 2*n + 6 wrt n.\nAnswer: 276168*n - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 367.8014 and -4.\nAnswer: -1471.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/183 and -71\/588.\nAnswer: 35868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 + 2*z**5 - 4*z**5)*(2 - 1 - 2) + 0 - 2*z**5 + 0 + (-1 + 5 - 5)*(-4 + 1 + 1)*(-z**2 + z**2 - 4*z**5).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -24, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7134, 28509, 64136, 114015?\nAnswer: 178146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370476 and 207.\nAnswer: 8520948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33520 (base 10) to base 9\nAnswer: -50874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24216*c - 629612. Calculate f(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Let p(m) = -3*m**2 - m + 2. Let d(a) = 6*a - 2*a + 3*a**2 - 3 - 3*a. Let w(r) = v*p(r) - 2*d(r). Find the second derivative of w(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/((-5)\/(-50))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10 = 33. Suppose -4*a = g - 71. What is the remainder when a is divided by (-38)\/(-4) + 15\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -4 - (-2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 - -6.3. Let a = 2.9 + t. Let i = 2\/39 - -11\/39. What is the third biggest value in a, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -127*x**2 + 10*x + 67. Let s = -26 + 28. Let h(d) = 63*d**2 - 4*d - 34. Let f(y) = s*q(y) + 5*h(y). Differentiate f(a) wrt a.\nAnswer: 122*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19126878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d - 131*d = -68*d + 112 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 - m**4\/3 + 3*m**3\/2 + 5*m**2. Let q be (-3 + 1)\/(2\/(-9)). Calculate the least common multiple of 22 and h(q).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 7}. Give prob of picking 2 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 32 - 98. Suppose -13*w + b*w = 42. Let p(z) = 2*z - 6. Calculate p(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -43. Suppose o*t - j - 24 = 0, 2*j + 24 = 3*t + t. Calculate the greatest common factor of t and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*135\/60.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -656, -636, -618, -602?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1298*r**3 + 9*r**2 + 7*r - 1. Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, v: 4, d: 2, w: 4}. What is prob of picking 1 d, 1 v, and 2 h?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 3 - 3 + 503279*p**2 - 3 - 506200*p**2 + 4 to z*p**2 + m + n*p and give z.\nAnswer: -2921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-18))\/(5*1\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + l = 3*l + 4762, 3*a + 5*l = 3591. Suppose -484 - a = -4*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1603121 or -1603124?\nAnswer: -1603121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f**2 - 4. What is the hundreds digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(2168\/(-56910))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -503.8 - -505.8. Suppose -13*u - 22 = -15*u. What is the nearest to -1\/2 in a, 4, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 5*i - 33*i + 41*i + 3*i - 5*i.\nAnswer: i - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -232.\nAnswer: -21\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28118308 and 5588.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -3. Let n = -4 - f. Find the first derivative of -1 + 7*u**n + 1 - 4*u**3 + 1 wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126225 less than 0.24?\nAnswer: -126224.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 17*s - 8. Let t be q(8). Let f = t - -1945. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 + 275.4. Sort w, 2\/13, 0, -3.\nAnswer: -3, 0, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431854595.\nAnswer: 5, 86370919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 125 + 171 = -8 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(b - b - b) - 2*b - 1 + 1 - 2*b + 2*b - b + 0*b - 4*b + 2*b)*(0 - 1 - 3)*(-3 + 4 - 3).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (344\/(0 - -4))\/2. What is the third derivative of 11*s - 24*s**3 - 11*s + k*s**2 wrt s?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 638, 4148, 13670, 32210, 62774, 108368?\n\"Answer: 501*o**3 + 3*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-189)*-7*(1 - (-33)\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-23) - 1839844518\/(-2622) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 31230020?\nAnswer: -31223333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 118, -3, -357, -2 in increasing order.\nAnswer: -357, -3, -2, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 26*c - 31*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*1*15951\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/4 - 27*f.\nAnswer: -3*f*(f + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-4708)\/6. Let u be -2*22\/(-4)*115. Suppose 5*m - u = p. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -142. Let p be (-6)\/((-108)\/(-102))*18\/m. Are -36 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18456968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2\/9, 73 in increasing order.\nAnswer: -4, -2\/9, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29\/c**(-4))**3 assuming c is positive.\nAnswer: c**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205.99 + -0.99. Let r = i - 51. Let q = r + -153.921. Round q to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/66*-3 - 70\/(-22). Let c(f) = -70*f - 1. Let z be c(-2). Suppose -d*m + z = -23. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-54)\/6)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -76455?\nAnswer: 4\/76455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9768118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v + 3. Let f be m(5). Let g be (-3)\/(f - (-534)\/(-176)). Let l = 23 + -1. Calculate the greatest common factor of g and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54791100 divided by 4.\nAnswer: 13697775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956 + 6836 = 1743*u - 855*u + 2052*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddybzyzzbzlzzyzyyy. Give prob of sequence zzdz.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 24*q**2 + 16 - q - 15*q - 20*q**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {v: 2, e: 2, f: 1, q: 2, w: 4, s: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 + 5*o + 6. Let s be (-2 - -5)*(-15)\/(-9). Calculate the lowest common multiple of q(s) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 18. Let i = -75 + 79. Solve i*a - s = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l - 8. What is d(3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 3*j. Suppose -3*g + 47 + 19 = 0. Suppose 0 = 8*n - 4*n - 3*o - 17, -4*n + g = 2*o. What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + 5) - 46 - (-5 - 2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 3. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -602\/141?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((7 - (-7 - -13)) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 1754*n**2 - 309*n**2 - 3*n.\nAnswer: -2063*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.728 and -24?\nAnswer: -17.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4368089 rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*h**3*v**3 - 76236*h**3*v - 10268*h**2*v**3 + 7*h*v**3 - 6*h*v**2 - v wrt v?\nAnswer: -228*h**3 - 61608*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 597, 1189, 1791, 2409, 3049?\n\"Answer: q**3 - q**2 + 588*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561251 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -0.05. Let w = 31.5 - 42. Let k = 11 + w. Which is the smallest value? (a) z (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + (-114)\/(-27). Suppose -2*w - 28 = -3*g - g, b*w = -4*g + 40. Let c be (-9)\/(-3) - 50\/g. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l)**24\/(((l\/l**(-18))\/l)\/l*l\/(l**(-11)\/l)) assuming l is positive.\nAnswer: l**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/560 and 12\/126559.\nAnswer: 70873040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5447 divided by 13\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 41*f - 9. Let g be a(2). Let p = -51 + g. Solve 3*d + p = 5*o, 3*d = -6*o + o + 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {v: 2, n: 1, h: 2, s: 2, q: 4, z: 9}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 2 - 7*n + 4 + 7*n. Let j be s(-2). Solve j*l - 2*w - 11 = w, -5*w - 11 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(243) + -1 + sqrt(243) + 2 + sqrt(243) + -2 + sqrt(243) + (1*sqrt(243) - sqrt(243)) + sqrt(243))**2*-1 + -5 + 1.\nAnswer: -6075 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -31, 7, -2, 39, 34 in increasing order.\nAnswer: -31, -10, -2, 7, 34, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 268, 490, 726, 982, 1264, 1578, 1930?\n\"Answer: g**3 + g**2 + 212*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/(-666)*(-3)\/(-6)*-4 + 1.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129640 = 5*k + 3*w, -2*w - 129665 = -5*k - 0*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*q**2 - 32*q**2 - 289 + 2*q - 51*q**2 - 33*q**2 - 2*q**3 as c + v*q**3 + o*q + g*q**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 218 = 127. Let z(o) = o. Let v be z(0). Suppose v = -13*r + 8*r + x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/6*v - 2\/3*v**2 - 1\/3 - 1\/6*v**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-1)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 568642*f - 1 - 568799*f + 12 to j*f + b and give j.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u - 3*u + (-5 + 3 + 0)*(-3*u + u + 4*u) - 2*u - 5*u + 5*u)*(24989 - 11416 - 8566).\nAnswer: -35049*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 155*(-40)\/125*(-15)\/6. Let k = s + -114. What is the highest common factor of k and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/490035 and -101\/168.\nAnswer: 3920280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -193, -371, -547, -721, -893, -1063?\n\"Answer: b**2 - 181*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 - n - 7. Let b = -1 - 5. Let m be y(b). Let f = m - -914. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1 + 1 = 263*c. Let x(n) be the third derivative of -19*n**2 + 1\/15*n**5 + c + 0*n**4 + 0*n + 5\/2*n**3. What is the derivative of x(w) wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -54861632*v. Let h(z) = -z**2. Calculate j(h(g)).\nAnswer: 54861632*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/9 - -3)*(-4)\/3. Let q = -0.3 - -0.1. What is the closest to 1 in -5, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281358349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.3288 years in centuries?\nAnswer: 1.033288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.68462843 + 0.1?\nAnswer: -74.58462843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*y - 5*z - 411, -2*y + 405 = z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231231 and 9317?\nAnswer: 2543541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -443\nAnswer: 2\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1364, -0.1, 2\/5, -3 in ascending order.\nAnswer: -1364, -3, -0.1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8 + 2*q + 10 - 17. Let v be y(1). Let p = -4 - -3. Sort v, 0, p.\nAnswer: p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*v - 15 = 0, 3*o + 12*v - 13*v + 5 = 0. Determine z so that 3\/4*z**5 + 0*z**2 + 0*z + 1\/2*z**3 - 5\/4*z**4 + o = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13693 - -47070. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 2*g**2 + 2*g + 1. Let j be n(-2). Let c = j + 73. List the prime factors of 2*(c\/4 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -16\/5*f + 4\/3*f**2 + 0 + 26\/15*f**3 + 2\/15*f**4 = 0.\nAnswer: -12, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2254 = -32*w - 334. What is the lowest common multiple of w and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 44*o**2 + 4*o + 70. Give m(5).\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from azazaaz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 3*l - 28*l**3 + 3*l + 68*l**3 in the form z*l**3 + t*l + n + v*l**2 and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 2*m**6\/105 - 11*m**5\/35 - 56*m. Suppose j(t) = 0. Calculate t.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154195 is divided by 286?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/1*970\/5432\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a + 52. Let o be l(-4). Suppose -4*q = -o + 68. Solve 5*i + 4*z = -1 + 13, -4*i - 4*z + q = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480191.\nAnswer: 631, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:43 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 = 2*p, -f - p = f - 7. Find the first derivative of 4235*k**f - 4235*k**3 - 7*k**4 + 9 wrt k.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1224.87 + 1287. Let c = -63.13 + 0.13. Let a = m + c. Round a to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 182132*q - 93805008.\nAnswer: -4*(q + 521)*(q + 45012)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 685 = -10*k. Suppose -k - 121 = 3*s. Let m = -23 - s. Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6, 5*q = -0*x - x + 83. Let n = q + -13. Solve 4*j = 5*d + 5, -4*d = -n*j - d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 23*c + 45. Calculate l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.346 times 2.1\nAnswer: -0.7266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1286 + 1289. Solve 2*g - 6 = w, -4*w = 2*g - d - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u**2 - 10*u**2 - 18*u**2 + 106*u**2 + 321*u**2 as r*u + n + b*u**2 and give b.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*a + 48*a + 506*a + 318*a + 213*a.\nAnswer: 891*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/5)\/(5\/(-25)). Let g(x) = x**2 - 9*x + 8. Let r be g(n). Suppose -2*t + 0*t + 56 = r. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + b + 4 = 0, -20 = -12*b + 17*b. Suppose -14*f + 28*f - 10234 = t. Calculate the highest common divisor of 43 and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 - 6 + 5 + 5 + (-1 - 3 + 5)*(-1 + 2 + 3))*(-1 - 6 + 4 - 2*i).\nAnswer: -20*i - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -87. What is the remainder when 20 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0*t - 4*t)*(-3*t - t + 2*t) + 0*t + 4*t**2 + 0*t)*(-21*t**2 + 73*t**2 + 10 - 9).\nAnswer: 416*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 3*m - 1. Let d be c(2). Suppose -5 = -u - d. Let k = -5 - -3. Put k, u, 1 in decreasing order.\nAnswer: u, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 1464331 + 1464331.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 2*z + 6. Let h be y(-3). Calculate the common denominator of 13\/2 and 27\/6*(-3)\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/234544 and -77\/1583172.\nAnswer: 6332688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 16 + 12. Let v(p) = -p**2 + 17*p - 8. Let j be v(s). Suppose -4*d + j - 14 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 30. Let w be z(-11). Let h(k) = 3*k + w - 8*k - 6*k**2 + 2 - k**3 - 7*k. Let n be h(-8). Round n to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 7*a)*(-12*a**3 + 110*a**3 + 58*a**3).\nAnswer: 936*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -641700 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {w: 2, e: 1, d: 1, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*(121\/11)\/11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -1 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 11 + -2 + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -19. Let f = 9 + l. Solve f = -3*k + 2*r + 17, -3*r - 3 = 3*k - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12270 and 58.\nAnswer: 355830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -97, -192, -287?\n\"Answer: -95*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3)*3)\/((-6)\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124251781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468396927 to the power of 1\/2, to the nearest integer?\nAnswer: 38320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6.17705 times -13.6\nAnswer: -84.00788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3138 - -3136. Sort 130, -4, f in decreasing order.\nAnswer: 130, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 2018*j\/9 - 14420\/3.\nAnswer: 2*(j - 21)*(j + 1030)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m + 7986 - 360 + 451 = -10947 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5801, 4, -26, -0.5 in increasing order.\nAnswer: -5801, -26, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i**3 + 90*i - 90. Let u(x) = -x + 1. Suppose 1728 + 252 = -22*n. Give n*u(k) - p(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -39. Let p be (t\/4 + -2)*-612. Suppose -3*m = 5*s - 246, -189 = -4*s + 3*m + 24. What is the highest common divisor of p and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147813283.\nAnswer: 17, 8694899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 1 = 3*z. What is j in z + 52*j - 24*j**2 + 2*j**3 - 5*j**3 - 63 - 112*j = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*o + 415*o + 445*o + 128*o + 767*o.\nAnswer: 1980*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 52*s - 452. Let k be i(-14). What is the highest common divisor of 368 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 16 - (0 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:02 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.179 + -0.791. Let o = -0.03 + d. Let y be ((-1)\/(-1 + 0))\/4. What is the nearest to o in 3\/8, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1617325 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9263, -9262, -9253, -9230, -9187?\nAnswer: -9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**4 - 2*x**4 - 2*x**4 + (x - 3*x - 5*x)*(-5 - 4 + 11 - 2*x**3).\nAnswer: 16*x**4 - 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 116004 = 2*w - 6*l, 0 = 3*l - 6. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2408\/1720*(-62)\/(-7))\/(4 + -2).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 - 5*l - 4. Let i be u(4). Let q be (i\/16)\/((-2)\/(-1)). Let f = 0 - 0. Which is the second biggest value? (a) q (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335142, -341734, -352726, -368124, -387934, -412162, -440814, -473896?\nAnswer: -511414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5204 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958563940?\nAnswer: 2, 5, 1873, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 z when three letters picked without replacement from {p: 2, u: 1, z: 3, t: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose -3*s - n = -8. Suppose s*a + 3 = -a. Let c(r) = -12*r**3 - r**2 + r + 1. Calculate c(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 2620272.\nAnswer: 39304080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 209*q - 4 - 208*q - 2*q**2 + 4*q**4 to h*q**4 + s + c*q**3 + y*q**2 + d*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*a**3 - 3)*(0 - 3*a + 0) + 71*a - 68*a**4 - 71*a.\nAnswer: -74*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3753325, 3753326, 3753329, 3753334, 3753341?\nAnswer: 3753350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -2*z**5\/15 - 3*z**4\/8 - 15*z**2. What is the second derivative of i(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 5*i + 336 = 0. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1327 in 2\/7, 40, -16\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 116.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6 = -6*q + 10*q, -1 = q + 2*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98397, 200848, 303297, 405744, 508189?\nAnswer: 610632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 70, -3 in decreasing order.\nAnswer: 70, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-49 + 19 - -25)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**4 + 6*u**4 - 7*u**3 + 5*u**3 + 4 + u**4 - 4 + (0*u**3 + 0*u**3 - 2*u**3)*(-2*u + 2 - 2) + 4*u**4 - u**4 - 4*u**4.\nAnswer: u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31b (base 13) in base 11?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (405 - 871 + 65)*(o - 1 - 2*o - o).\nAnswer: 802*o + 401","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 27*b**3 + 3*b**2 + 27*b.\nAnswer: -3*b*(b - 1)*(b + 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (551*r + 557*r + 451*r - 490*r)*(-4*r - 2*r + 5*r) + (r + 2*r - 6*r)*(-r + 12*r - 4*r).\nAnswer: -1090*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 8:26 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c + 2*q = -153*c + 431 - 115, -2*c - 3*q = 76 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffxfffxff. Give prob of picking 2 f.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294181.\nAnswer: 294181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, 1 h, and 1 l when four letters picked without replacement from hhsywlwlhl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44970363.\nAnswer: 3, 1665569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17734.39 tonnes to micrograms.\nAnswer: 17734390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c + z - 19, 5*c = -2*z + 98. Let s be ((-22)\/(-8))\/(4\/16). Let n = -6 + s. Calculate the highest common factor of n and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133386125633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*(-5)\/30*-15\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 - -425. Suppose -j*p = 44 - 54. Solve 3*l = -p*l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*d - 10, 7*f - 2*d + 9 = 12*f. Is (-253692)\/(-45) + f - (-6)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 34. Let v be p(-12). Solve -3*k + 8 = z, 5*k - z = 2*z - v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j - 68. Let d(o) = -1. Give 68*d(p) - y(p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 2, 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -2*p - 3*g, -5 = -2*p - 3*g. Let y be p*3*4\/(-24). Solve 0 = -o + y + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - u**3 + u**3 + 3*u**3 - 4*u**3 - 2*u**3 + (-u**2 + u - u)*(4*u - 2*u - 4*u) - 5*u**3 + 5*u**3 - 5*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**2 - 6*t**2 + t**2)*(-2 - 97*t**2 + 69*t**2 + 3).\nAnswer: 420*t**4 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b - 77, 0 = 4*b - 135 + 123. Calculate the greatest common divisor of t and 1256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327.2 or 34.332?\nAnswer: -327.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - r + 4)*(2*r**3 - 13*r**3 + 28*r**3).\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2138 + -2030. Which is greater: 109 or z?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - u = -0*m - 19, 0 = -5*m + 2*u + 17. Suppose -4*l + 4 = -2*y - 2, l + 3 = m*y. Solve 3*q = l*n + 2*n - 2, 2*q - 4*n = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010070973679 to five decimal places.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*s + 50, -4*s + 6*j - 1295 = -1345 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4615610 is divided by 377.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbm when three letters picked without replacement from mmmbbmbbbbbbm.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.2. Suppose 384 = -8*r + 376. Sort r, 3, w in descending order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 94?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 - 1.1. Let t = f + 2.6. Let i = t + -0.3. Which is the second smallest value? (a) i (b) 2\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-168)\/2)\/3 + -1. Let b = c - -44. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 136\/(-10) - (-2)\/(-5). Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 39. Calculate the remainder when 107 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -47\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124791 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 692\/329995?\nAnswer: 692\/329995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 6. Let f be o(10). Suppose -12 = -8*d + f*d. Solve -z - d = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617850626 a multiple of 4379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 7 + -3 + (-18 + -6 - 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169718?\nAnswer: 2, 84859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -671 + 696. Solve 4*j + j - g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c1 + -87?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**3 + 8*c**2 - 8*c + 13. Let i(u) = 11*u**3 + 16*u**2 - 15*u + 26. Let q(d) = -4*i(d) + 7*w(d). Suppose 9 = -y + 2. Is q(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345517 (base 9) in base 15?\nAnswer: e8ded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21717, 21766, 21847, 21960, 22105, 22282?\n\"Answer: 16*z**2 + z + 21700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 3*j**2 - j**2 + 2*j**2 - 47 as h*j**2 + k*j + f and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594540558 is divided by 198180180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385389 + -154926467\/402. Find the common denominator of b and 87\/16.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**5 + 0*r**6 + 1\/105*r**7 + 0*r**4 + 0*r**3 + 1\/336*r**8 - 8*r**2 + 0 + 0*r. Factor y(a).\nAnswer: a**4*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6565, -29400, -68507, -123892, -195561, -283520, -387775, -508332?\nAnswer: -645197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 - 704365*s**2 + 24808263480*s - 124023708900 = 0. Calculate s.\nAnswer: 5, 70434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84023143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.5, 4, 1, 2\/3, 4\/23, 3\/52?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -55, -43, -17, 29, 101, 205?\n\"Answer: h**3 - 2*h**2 + 3*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379.\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309960614 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 8 - m + 4*m + m. Let y be f(8). Suppose 5*b - y = 34. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.12067 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*w + 3*w - 1601 = 0, -4*c - w = -2131. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/359360 and -97\/16.\nAnswer: 359360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 237447767 less than 237447767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 17 + 9*c - 16)*(-2*c - 3*c + 2*c + c + 0*c + 0*c + (4*c - c - 5*c)*(-2 - 2 + 6) - 3*c + 7*c - 3*c).\nAnswer: -45*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16010 and -281?\nAnswer: 4498810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 1. Let h(z) = -7*z - 2. Let f(o) = 2*h(o) + 5*v(o). Let t be (-6)\/(-3) + (-90)\/9. Let c = t - -7. Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 26 = 174*w - 176*w, 4*w = 3*a + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 2}. What is prob of sequence ere?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -7 - (12 - 60295 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*i + 64852*i**2 + 588*i.\nAnswer: 64852*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 + 6*f + 2. Let y(x) = -9*x**2 - 13*x - 4. Let n(w) = -3*w + 10. Let r be n(4). Let u(t) = r*y(t) - 5*s(t). Let u(p) = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**8\/336 + 17*c**7\/105 + 43*c**6\/12 + 623*c**5\/15 + 6545*c**4\/24 + 3025*c**3\/3 - 417*c**2. Factor b(p).\nAnswer: (p + 2)*(p + 5)**2*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*k + 2*k - 15, q = k. Let v = q - -3. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 9. Let w be d(-7). What is the second derivative of 7*z**w + 27*z - z**2 - 17*z - 5*z wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130897.\nAnswer: 13, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 331?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 7 + 4 + 3 + 6*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztttzrztzrrtatrzr. Give prob of sequence az.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9455 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2688\/13 or 22921?\nAnswer: 2688\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/21 - (-40)\/24. What is the third biggest value in w, 5, 0.03, 2\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 13247892?\nAnswer: 13247879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*z = 2*z - 4, 3*z - 7 = -2*t. Suppose -4*a - t = -5*y, 2*a + 6 = a + 4*y. Suppose 0 = -5*u + a*u + 48. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 2) + -2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -237630 (base 8) to base 14\nAnswer: -21b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 3 (c) 0.5 (d) -14324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072)*-2*6 - (sqrt(9072) - sqrt(9072)*2*-4 - sqrt(9072) - sqrt(9072)))\/(-5*(sqrt(576) - 1*-1*sqrt(576))).\nAnswer: 57*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*m**2 + 1182*m**2 + 91*m**2.\nAnswer: 944*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**7\/2940 - i**6\/420 + i**4\/21 + 11*i**3\/3 - 5*i**2. Let l(p) be the first derivative of x(p). Factor l(w).\nAnswer: -2*(w - 1)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.769351563 to four dps.\nAnswer: -11.7694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127071 is divided by 361?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + 40824 = 9*x. Calculate the common denominator of 3\/7 and ((-3)\/(x\/(-45)))\/(0 + 1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-15)*(-15)\/2. Suppose a*x + 4*d = -6 + 32, 3*d = -3*x + 15. Suppose -b = b - x. Solve 4*m = -b*w + 2 - 9, -2*m - w - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21916252130358 and -29.\nAnswer: 21916252130329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -609201 and 25267.\nAnswer: -583934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 12*z + 16. Let v = -31 + 43. Let r(q) = -q - 1. Let n(i) = v*r(i) + t(i). Differentiate n(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3657\/2 - 1760. Let b = -2946\/43 + a. Are -1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 969335 divided by -115.\nAnswer: -8429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49324\/1232 + 34 + -74?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150100000 to the nearest 1000000.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0633815694 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*(-75)\/(-50)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(7\/6))\/g)**(-15)*(g*g\/(g*g**(-1\/18)\/g*g))**(-9\/2))**(-4\/7) assuming g is positive.\nAnswer: g**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -d + 1061, -89 - 329 = 2*p - 2*d. Let x = 356 + p. Calculate the highest common divisor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25075151.\nAnswer: 251, 99901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, -5 in ascending order.\nAnswer: -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 3289?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4705020.4 times -0.08\nAnswer: -376401.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxt when three letters picked without replacement from {h: 2, x: 2, a: 3, t: 3, i: 5}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -265. Let h = p - -288.8. Let i = h - 55. What is the third smallest value in i, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 4944786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -55266 divided by -61\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**9\/504 - 3*v**6\/40 - 37*v**5\/30 - v**3\/6 - 167*v**2. What is the third derivative of q(j) wrt j?\nAnswer: -120*j**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47477\/25305 - (-17)\/((-6120)\/(-16))) + 4\/18?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 k, and 1 v when four letters picked without replacement from {w: 7, v: 2, q: 1, e: 1, y: 3, k: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-66))\/((-4)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 + 9*y - 5. Let g be q(4). Let v be 6\/g + 636\/(-11). Let m = 41 + v. Do m and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 0*s)*(-2*s**2 + 4*s**2 - s**2 + (0 - s + 0)*(-2*s - 5 + 5) + 9*s**2 - 12*s**2 - 2*s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -385, -875, -1563?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g + 232 = 0. Let q = -36 - g. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261881 is divided by 767.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.4. Let w = p - -0.60000104. What is w rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17\/l**6)**42 assuming l is positive.\nAnswer: l**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6204490675?\nAnswer: 5, 9439, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2797431407 and 275744.\nAnswer: 2797707151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101\/331, -7, -5, 4\/5, 1.\nAnswer: -7, -5, -101\/331, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 411*t**3 - 2*t**2 + 7*t + 4. Let j(i) = 417*i**3 - 2*i**2 + 6*i + 3. Calculate 4*j(w) - 3*s(w).\nAnswer: 435*w**3 - 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352488 + 8*z - 8*z - 8*z**3 + 10*z**3 - 1352488.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 654487 + -0.01.\nAnswer: 654486.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-780)\/80 - -16) + (-159)\/60.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -47. Let r = 178 + -166. Let s = r - d. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*k - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -1986, -5, 1, -2, 3.\nAnswer: -1986, -24, -5, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 770 = -2*q + 5*x, -4*x = 20. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184.2*0.48934.\nAnswer: 579.476428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4.9, 1\/6, 3, 14 in ascending order.\nAnswer: -2, 1\/6, 3, 4.9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t - 2. Let b be h(-2). Suppose -b*r + 71 = m - 109, -m - 4*r + 190 = 0. What are the prime factors of m\/(-4)*72\/(-45)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -3*g - 21, -40*m + 43*m + 5*g + 24 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - 8*g**2 - 5*g - 6. Let h(a) = -5*a**3 + 7*a**2 + 4*a + 5. Suppose -4*i - 18 = s, 51*s = -i + 49*s + 6. Give i*h(q) - 5*p(q).\nAnswer: 5*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/6 (b) 1.2 (c) -4\/3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22827 and 12747?\nAnswer: 13855989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 13*x - 7. Let u be y(-7). Suppose -3*d + 2*q = -15, 63*d - 68*d + 4*q + 25 = 0. Sort -2, d, u, -4.\nAnswer: -4, -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2340, -8011, -18362, -28713, -39064, -49415?\n\"Answer: -10351*q + 12691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69128*p - 49 = -69129*p + 4*o, -3*p - o - 22 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069033449 to the power of 1\/2, to the nearest integer?\nAnswer: 55399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24704565, 0.1 in descending order.\nAnswer: 24704565, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4747 + -4747.22856. Round d to three decimal places.\nAnswer: -0.229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189 = 131*f + 514 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(156))\/(1*sqrt(12)*-4).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 2\/9 (c) -17567 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g + 1. Let j be n(2). Suppose 5*b = j - 16. Suppose -19 = -b*o + 6. Solve -1 = 2*i - 3*i - o*w, -4*i - 3*w = 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 25950804*j**2 + 3*j**3 - j - 51912051*j**2 + 25961247*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 40 + 10 + 8 - 17*c + 15*c + 15.\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 152, 359, 626, 959, 1364, 1847?\n\"Answer: r**3 + 24*r**2 + 128*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213390 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u + 7. Let h be g(-6). Sort -3, -1, h in decreasing order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27960 and 7104.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -0.25639?\nAnswer: -3.58946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 17*t**2 - 17*t + 21. Let i be h(-18). Let n(j) = -5*j**i - 8*j**2 + j**3 - 9*j - 10 + 4*j**3 - j**3. Suppose x + 1 = -6. Determine n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d + 7. Give j(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (8 + -15)) + 2 - 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**6)\/(s\/(s*(s\/((s**(-2\/11)\/s)\/s))\/s)))**34)**23 assuming s is positive.\nAnswer: s**(-24242\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59687*p - 400 = -59767*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 - 89. Suppose 0 = v*b - 42*b + 50. Solve 2*f - b = -2*q + 7*f, -2*f - 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -16 in decreasing order.\nAnswer: 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1 + z**2 + 1\/3*z**3 - z. What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 945*t**3 - 4839*t**2 + 12501*t - 6720.\nAnswer: 3*(t - 320)*(t - 1)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b + 2*b. Let x(f) = -3*f - 4. Let p(u) = -2*u - 3. Determine b*p(s) - 3*x(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 44 (c) 3374 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 819 in -2\/9, -2\/15, -2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 1, i: 4}. Give prob of picking 1 z and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j - 1. Let i(b) = -61*b**3 + 4*b**2 - 87*b + 4. Let c(u) = i(u) + 4*l(u). Find the second derivative of c(z) wrt z.\nAnswer: -366*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*s**4*t - 8016*s**4 - 235*t - 96 wrt s?\nAnswer: -36*s**3*t - 32064*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 436 - 442 = 0. What is the fourth biggest value in i, -0.04, -1, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/42*1)\/((4192\/(-11004))\/(68\/(-9)))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z. Let a(b) = 3*b**3 - 7*b**2 - 6*b - 8. Let n(c) = a(c) - 4*w(c). What is n(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 4*d + 0*d**3 + 1\/12*d**4 + 0 - 3\/2*d**2. Let w(h) be the first derivative of c(h). Let q(l) = 4*l**2. Calculate w(q(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6627*i**3 - 1361239662*i**2 + 173775195*i - 5546016.\nAnswer: 3*(i - 205408)*(47*i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 185 = -74*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 - 7*o**3 - 4*o**2 - 5*o**3 + (-4*o**2 + 0*o**2 + 5*o**2)*(2*o + 0*o - o).\nAnswer: -11*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6996 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 7*l + 8. Let j = -13 - -7. Let p be q(j). Suppose 0 = -g + p. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76185146 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4011*h - 35 = -5*y - 4016*h, -2*y + 2*h + 14 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(130) + sqrt(130))*4 - -3*(sqrt(130) + sqrt(130)*1))\/((-3*(sqrt(70) + 1*sqrt(70) + sqrt(70)))\/(sqrt(7) - (sqrt(7) + sqrt(252)\/sqrt(4)))).\nAnswer: 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 19*q**2 + 20*q + 4. Suppose -15*i = 8*i - 460. Let u be v(i). Let c be 9 + (-4 - -7)\/(-3). Calculate the highest common factor of u and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614572 is divided by 2667?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {d: 7, i: 2, e: 1, l: 1, s: 1, q: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 8) to base 2\nAnswer: -11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1542 is divided by 308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*i - 4, 19*i + 4*m - 4 = 21*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h + 553. Determine n(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23519?\nAnswer: 29, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 84*l - 18. Let x(w) = 84*w - 19. What is -2*j(f) + 3*x(f)?\nAnswer: 84*f - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1512, -1653, -1794, -1935, -2076?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102060, 204213, 306508, 408951, 511548, 614305, 717228, 820323?\n\"Answer: n**3 + 65*n**2 + 101951*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193*f - 3410 = 1182*f. Calculate the highest common divisor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) + (sqrt(3) - sqrt(27)))*-2 + 4 + (sqrt(117)*-1)\/sqrt(9).\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:09 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5715899*z**5 + 8285183*z.\nAnswer: 114317980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + (sqrt(130) - sqrt(130)*-3)*3) - 3*sqrt(130)*-3)\/(sqrt(90)*-3 + (sqrt(90)\/(-3*sqrt(9)) - sqrt(10) - sqrt(10)))*-4)**2.\nAnswer: 4212\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5754, 5728, 5704, 5682?\n\"Answer: w**2 - 29*w + 5782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2. Let h(l) = 0*l - l + 1 + 2*l. Let k(g) = g**2 + 4*g - 3. Let d be k(1). Suppose -5*o + o = -d*r - 12, 0 = 4*o + 4*r. Determine o*h(z) - v(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26 + 294*w + 1 - 300*w. Let o be u(4). Put 5, o, -7 in decreasing order.\nAnswer: 5, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 minutes after 4:51 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 - r**3 + r + 2. Let q = 7 - 5. Determine o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225\/932 - -2\/233. Which is the closest to 1? (a) -1\/5 (b) 20\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 1323 = 22*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1304 >= -1300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*3*(23 - 5). Let b = -7 - -25. What is the greatest common factor of c and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -309, -1242, -2739, -4752, -7233?\n\"Answer: 8*p**3 - 330*p**2 + p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86246 is divided by 1065.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -300000?\nAnswer: 300001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/4 - 21*y**4\/2 + 22*y**3 = 0.\nAnswer: -44, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 65.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z\/(z*z\/(z*z*z**3\/z))*z)\/((z\/((z\/z**1)\/z))\/(z**(2\/23)\/z)) assuming z is positive.\nAnswer: z**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 + 1003?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -519, -517, -515, -513?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10942*i - 10936*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987028 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4721*d**4 - 4149*d.\nAnswer: 56652*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*(-12)\/(-20))\/((-2)\/5). What is the third derivative of -26*s**2 + 2*s**h + 6*s**2 - 12*s**3 - 16*s**3 wrt s?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 22*i**3 + 4*i. Let n(t) = -45*t**3 - 8*t. Let j(d) = 3*n(d) + 7*r(d). What is the second derivative of j(l) wrt l?\nAnswer: 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.5. What is the nearest to -2\/3 in 3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = 2*n, 2 = 2*v - 2*n - 2. Suppose 4*q = 5*q - v. What is the smallest common multiple of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-4 + (-4 - -9) - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 2*x. Let c be k(-1). Solve c = -2*p + 2 + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 11*c**2 - 11*c + 1. Let y be j(10). Let o = y + 16. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237920.96 - 773.644.\nAnswer: -238694.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4 = -f. Let p be (f\/(-4))\/(-5*1). Let k = 2.3 + -2.8. What is the nearest to 2\/7 in 1, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:32 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110 (base 2) in base 9?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30271 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: Determine n, given that 162*n**3 - 6*n**2 + 0*n**4 - n**4 + 7*n**2 - 6*n - 156*n**3 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -64, -191, -432, -823, -1400, -2199, -3256?\n\"Answer: -6*t**3 - 3*t**2 + 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*z - 2*z. Let j = z + -4. Suppose -j*k = -6*k + 30. What is the smallest common multiple of k and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:13 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 + t - 10. Let l(c) = 2*c**3 + c**2 + 16*c + 22. Give -l(j) - 2*o(j).\nAnswer: -4*j**3 - 5*j**2 - 18*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3762?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -301*d + 1885. Is a(-66) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.049.\nAnswer: 4.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184000 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*b, 19*b - 16*b + 15 = -u. Let g be 99\/(-22) + 3 - 24206\/b. What is g rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -42*v + 7. Let q(a) = -1. What is h(g) + 6*q(g)?\nAnswer: -42*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -85, 1101 in decreasing order.\nAnswer: 1101, 5, -22, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0 - 4 + h + 0 + 2. Calculate p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**2\/2 + 4*r - 1. Let y be i(0). Suppose 2*j - 2 = 5*l + 26, 3*j - y*l = 28. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4633 + 4641 - 13916 + 4637 + 79*m + 87*m.\nAnswer: 166*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1881, -1647, -1395, -1125?\n\"Answer: 9*n**2 + 207*n - 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 15, w: 3}. What is prob of sequence ee?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1246\nAnswer: -249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 353.6, 2, 1\/8, -1\/4 in increasing order.\nAnswer: -1\/4, 1\/8, 2, 353.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.05 - 0.05. Let n be 10 + -3 + -2 - -4. Suppose -93 = -22*u - n*u. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-16)\/6)*22\/(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5533, -10852, -15687, -19798, -22945?\n\"Answer: 40*s**3 + 2*s**2 - 5605*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-12)*(-1 - -1). Let a = -4 - y. What is the third smallest value in -5, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002987 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 15136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 2 + 9)\/2. Let f(x) = 3*x**2 - b + 0 + 6*x**2 + 5. What is the units digit of f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37715, 38139, 38563, 38987, 39411?\nAnswer: 39835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 12. Let d = -36 + 39. Suppose 17 = 2*z + d*y, 6*y - 38 = -3*z + 4*y. Solve 0 = -2*o - n + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 2*n - 6. Let g be h(4). What is the remainder when (-90)\/(-12)*g*2 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -300036*s - 33904064. Calculate b(-113).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g + 20. Let d = -1708 + 4970. Let b(p) = 5 - d*p + 2*p**3 + 6*p**2 + 3258*p - 3*p**3. Determine b(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/3)*j))\/j)\/(j\/j**(-1\/6)*j*j*j)*j**4\/(j*j**(-1)))\/((j*j*j**(-1)\/j*j)**(-1\/59))**(2\/133) assuming j is positive.\nAnswer: j**(-23537\/15694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177670?\nAnswer: 2, 5, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 9, g: 5}. Give prob of picking 3 g and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 3*j**2 - 2*j - 2. Determine b(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*u - 382, u + 6*c = 5*c + 129. Calculate the remainder when u is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 21. Suppose 5 = -5*l, -3*l = -4*y + 1 + 2. Is q(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63c8 + 342b?\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2180*k**3 - 6787.\nAnswer: 6540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 3. Let g be i(-6). Suppose 588 = 4*n - 3*m, 4*n + g*m - 342 - 270 = 0. What are the prime factors of (-2)\/(-7) + n\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*p - 10*p**3 - 48*p + p**3 + 2 - 2 + (0 + 0 - 2*p)*(0 + 0 - 2*p**2))*(-5*p - p + 4*p) + (0*p**2 + 2*p**2 + 0*p**2)*(-p**2 + 0*p**2 + 4*p**2).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 738.7 - 738.7. Let m = 2 - 0. What is the second smallest value in m, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - h - 2 - 3*h - 2. Let t(m) = -5*m - 14. Let u be t(-2). Let n be 39\/(-26)*u\/(-2). Determine j(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let i(c) = -2884*c. Give v(i(w)).\nAnswer: -8317456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 3*w + 1. Let x(k) = 5*k**2 + 8*k + 2. Let a(f) = 7*b(f) - 2*x(f). Let j be a(-2). Solve -2*v + g + j = 0, -1 = 3*v - g - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 327557, 327555, 327553, 327551?\n\"Answer: -2*m + 327559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*h - 6 = -s, 3*s - 10 = 5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5898230461 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: Let i(d) be the third derivative of 0*d**3 + 0*d - 3*d**2 - 1\/8*d**4 + 0. Let z(h) = -2*h - 3*h + 7*h. Give z(i(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-450)\/10)\/9)\/((-5)\/2235). Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*x - 9563176, x - 7456947 + 284539 = 3*h. What is h rounded to the nearest ten thousand?\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*a**2 - 53*a**2 - 3*a + 5*a)*(4*a - 4*a + 2*a)*(3 - 3 - 2) in the form y*a**3 + t + d*a + j*a**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 + 73628*s - 1355270596 = 0.\nAnswer: 36814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1. Let t(i) = 5*i - 2. Calculate -t(c) - 5*y(c).\nAnswer: -5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 114*c - 20. Let z be j(-5). Let r = 1\/64 - 1413\/320. Calculate the common denominator of 3\/45*3*z\/12 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 - -4) - (124 - 147) - -9.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1083)\/1444*(-116 + 1 - 1). Calculate the greatest common divisor of 638 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.25*0.04761.\nAnswer: -2.1067425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 18*d + 9\/2*d**3 + 30*d**2.\nAnswer: 3*d*(d + 6)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4 + 43*k**3 - 2047*k**2 - 4219*k - 2130 = 0.\nAnswer: -71, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - -3 - 4 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 71875*b**4\/2 - b**3\/3 + 3*b**2\/2 + 4*b + 9. Let q be c(4). What is q rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 17*t = -20880. Let o = 1434 - 323. Let g = o + t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 4:06 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*r. Suppose 0 = -2*z - 3*z + r*x + 22, 3*z = 3*x + 15. Suppose 141 = z*d - 35. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 0 - (-1 - -3 - 23 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 8*p. Is 7 a factor of (-1 - 1\/(p\/8)) + 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l + 0 = -25, 2*l = -2*q + 10. Let s = 2.95 - -0.05. Let v = 7 - s. Which is the nearest to -2? (a) v (b) q (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8949939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = i + i - 29, -11665*i + q - 1 = -11668*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 16, 0.3, -0.1, -2\/9, 34, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6529*s**2 + 7565*s.\nAnswer: -13058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y - 2 + 8 + 19*y - 12 + 34*y.\nAnswer: 23*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21450 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0)*(-5)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/p**(-7))**14*((p\/p**(-2)*p)\/p**(3\/5))\/((p\/p**0)\/((p*p\/p**(-1\/9)*p)\/p)) assuming p is positive.\nAnswer: p**(833\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -39a54?\nAnswer: -39a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 - 33. Let f(y) = -2*y**2. What is z(f(a))?\nAnswer: 40*a**4 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*g - 25, 4*h - 2*g = -5*g - 16. Let i = -123 + 120. Sort h, i, 0 in descending order.\nAnswer: 0, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16659 + 2*d - 16659. Calculate u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/6 + 10*y - 28. Let l(x) be the first derivative of h(x). Let o(p) = -7*p. Determine o(l(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose -5*p = k - 275, 0 = p - 3*p - n*k + 97. Suppose -3*a + 3*l + 60 = 0, 0 = -4*a + l + 9 + p. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-35))\/(3\/15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003444267767 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -295, -955, -2041, -3547, -5467, -7795?\n\"Answer: b**3 - 219*b**2 - 10*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*p - 16213606 = 154*p + 29802394. What is p rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 60, 1\/2, 0, -1, -0.4 in descending order.\nAnswer: 60, 1\/2, 0.01, 0, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j. Let b(z) = -8*z**2 + z - 2. Let a(k) = b(k) + 2*v(k). Find the first derivative of a(g) wrt g.\nAnswer: -12*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**5 - 11*t - 4*t**5 - 10*t wrt t?\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2176 + 3420. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259*f**4 + 32228*f**2 - 277511590*f?\nAnswer: -3108*f**2 + 64456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 6*i - 3*i)*(-i**2 + 2*i**4 + i**2) + (2*i - 6*i + i)*(-17 + 17 + 15*i**4).\nAnswer: -79*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide -7 + (-9 - -13) + 8\/2 - -23639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i - 7 + 1 + 2 + i - 10*i. Suppose 6 = 2*u + s, 0*u - 4*s + 9 = 3*u. Suppose -2*p = 5*a - 16, u*a - a = -4*p. Give d(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*r - 254*r - 294*r - 856*r as n + d*r and give d.\nAnswer: -1607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*g - 354*g + 3288 = 12604 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -80*g. Let o(r) = -r. Let m(x) = 2*f(x) - 176*o(x). Let y be m(1). Suppose -6*j = -7*j + y. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377882508 divided by 502.\nAnswer: 752754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007457442 to seven dps.\nAnswer: -0.0000746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6158791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23109, -21386, -19663, -17940?\n\"Answer: 1723*u - 24832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3178, -3183, -3192, -3205?\n\"Answer: -2*a**2 + a - 3177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -4589355.2?\nAnswer: 4589355.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(20\/(-130)) + 20711\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004007 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 541*a**6\/120 - 3673*a**4\/24 + 290*a**2. Find the second derivative of x(d) wrt d.\nAnswer: 3246*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 225*i + 7220 = -3*x, 5*i - 140 = 3*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a**2 - 2)*(5 - 5 - 6*a)*(0*a**2 - a**2 + 0*a**2).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v + 6. Let n(f) = -f**2 - 5*f + 4. Let l be n(-4). Let a be z(l). Suppose a*q - 2*q = 308. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 7 = 11*t + 5*w, 5*w + 10 = 0. Is t greater than -15\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*u**2 + 170*u**2 - 99*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 25 = 1. Suppose -2 = -0*u - u. Suppose u*s - 5*s + 15 = 0. Solve -4*i + 0*m - q = 4*m, 0 = s*i + 3*m + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 divided by -413?\nAnswer: 538\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 30*a - 91. Let n(r) = -r**3 - 2*r**2 - 75*r - 183. What is 5*g(y) - 2*n(y)?\nAnswer: 2*y**3 - y**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*14\/105)\/(4\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -19. Let b be v*(-4 + 2 - (-20)\/12). Let p = b + -6. Solve -c = -p*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4469\/4 + 1103. Is -15 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*p**2 + 446*p - 446*p + (-p + p + p)*(0*p - 5*p + 2*p) + (-2 - p + 2)*(2*p - p - 3*p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/y*y**(-5))**(7\/3) assuming y is positive.\nAnswer: y**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 + -1)) + (52 - 59)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12751km in nanometers?\nAnswer: 4127510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 + 46*h + 20. List the prime factors of o(-8).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -900, -881, -862?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 3, n: 1, b: 1, u: 2}. What is prob of picking 1 b, 1 u, and 1 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 6210?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12296 is divided by 246.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-20)*8\/(-3). Suppose -5*o + w = -239, 3*o = -o - y*w + 194. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 14 - 5*r + 2 + 0*r**3 - 5*r**2. Let a be i(-5). Suppose -a + 109 = 6*l. Calculate the remainder when 59 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1849?\nAnswer: 369.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27148, 27152, 27158, 27166?\n\"Answer: r**2 + r + 27146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 7*w**2 + 7*w - 5. Let v be q(6). Let g be -1*2 + (7 - v). Let t be (1 - 0)*4 + 0. Solve 3*p = 5*l + t, -4*p - 8 = g*l + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -761?\nAnswer: -67\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2411 - 2414. What is the nearest to -2 in f, -5, -268?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11294*w**3*y**2 + 2*w**3 - 12*w**2 - 658*w*y**3 - 65*w*y - 17*w + 9*y + 1 wrt y.\nAnswer: -22588*w**3 - 3948*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 1\/17 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 - 1. Let b(d) = -4*d**3 + 4*d - 3. Let h(x) = -b(x) + 5*s(x). Let u be h(-4). What is the units digit of ((-10)\/40)\/(u\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 220, -4, 5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 74431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4024, -4064, -4104, -4144, -4184?\n\"Answer: -40*b - 3984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*f + 6*i + 9, 2*i + 4 = -f. Suppose 0 = -2*k + f, 0 = -3*h - k + 4*k + 3. Calculate the smallest common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16535 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Suppose 3*z + 3*t + 4 = z, z - 3*t = -2. Let g(b) = 1. What is z*q(k) + 2*g(k)?\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + ((-21)\/(-27) - -2). Let f = -131.3 + 93.6. Let q = 38 + f. Which is the nearest to 1\/2? (a) r (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let i be 1*(-2 - -1)*4. Let x be ((-2)\/n)\/((-2)\/i). Solve 2*a + 10 + 2 = x*m, -5*a - 6 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z - 5*t + 10, 5*t + 11 = 2*z. Let w(m) = -5*m**2 - z*m**2 - 2*m**2. Let a(y) = -3*y. Give w(a(l)).\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s**(-2\/13)*s**(-1\/7)*s**(-3) assuming s is positive.\nAnswer: s**(-636\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2738, 5315, 7892?\n\"Answer: 2577*w + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1180 - 1181. Sort -4, -2, k, 1 in decreasing order.\nAnswer: 1, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*28970.\nAnswer: 579400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5 - (-2)\/5. Let t = -294\/5 + 59. Let w = 4 - 7. What is the third smallest value in w, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let v(c) = -633*c**2 + 30*c - 6. Let f(u) = -12661*u**2 + 605*u - 121. Let q(d) = 6*f(d) - 121*v(d). Determine q(y(t)).\nAnswer: 2508*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(198)*-2 + sqrt(198))*6)\/(-6*(sqrt(704) - sqrt(704)*-1*-4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 - 45. Let r be (-1)\/((1 + 5)\/(-42)). List the prime factors of u(r).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 16. Suppose f = v*t - f, t = f. Suppose 2*j - 4*h + 3*h - 51 = t, h + 76 = 3*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/6319 and 74\/267.\nAnswer: 18957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8495887?\nAnswer: 8495887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 9*g**3 - 9*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 4*i**3 - 3*i**3)*(-923 + 2*i**2 + 0*i**2 + 919 - 2*i).\nAnswer: -6*i**5 + 6*i**4 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.5. Let k = -0.3 - v. What is the nearest to 0 in 0.4, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 152. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)\/((-5)\/355). Suppose -5*g = 2*p - 176 - o, -4*g = 2*p - 242. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*m - 116*m = 240 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -141, -278, -469, -714, -1013, -1366?\nAnswer: -1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7.9 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 152\/5 in -17, -147, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-12))\/((-6)\/8). What is the third derivative of 2*s**5 - t*s**5 + 3*s**6 + 3*s**2 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 37\/65?\nAnswer: 37\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5024142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16947*j + 152536. What is p(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235.5 + 194. Let b = u - -26. What is b rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 9*a - 26. What is the units digit of c(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 60*f + 104.\nAnswer: 4*(f - 13)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-302)\/(-2) + 0 + 6. Let w = d + -52. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 - 25*p**3 + 89*p**3 - 39*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50025, -50003, -49981, -49959, -49937?\nAnswer: -49915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and -13081.341.\nAnswer: -13074.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -1352, -2036, -2734, -3452, -4196, -4972, -5786?\nAnswer: -6644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 + 7*y**2 + 8*y - 6. Let l(w) = 5*w**3 + 7*w**2 + 7*w - 5. Let b(p) = -5*c(p) + 6*l(p). Let b(u) = 0. Calculate u.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22697079.\nAnswer: 3, 1723, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 267*w**2 + 80*w + 2. What is p(-1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1270?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128251942 and 364.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 521039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g**3 - 7*g**2 - g. Let n(m) = -13854*m - 24*m**2 + 19*m**2 + 26*m**3 + 13853*m. What is 7*n(u) - 5*r(u)?\nAnswer: -13*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3140 or 3137?\nAnswer: 3137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 287008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -150. Let r = 43 - 24. Suppose 5*d + r + 1 = o. Put 3, 0.5, d in descending order.\nAnswer: 3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 10*p**3 - 309*p**2 + 309*p**2 + 2)*(-p + 3*p - p) in the form t*p**3 + c*p + j*p**2 + n + l*p**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5212160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6622992?\nAnswer: 2, 3, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 8 + 3*c**2 - 11 - c**2 - 2*c**3 + 2*c to the form o*c**2 + u*c**3 + g*c + z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3\/3 - 5*l**2 + 3*l - 1. What are the prime factors of z(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 1.4. Suppose -3*h = -1 + 4, u + 2*h = -3. Which is the second biggest value? (a) k (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3, -17, -1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21380, 0, -2, 2127.\nAnswer: -21380, -2, 0, 2127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8858 + -8853. What is the closest to 0 in s, 0.8, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 10 - 30*h - 45.\nAnswer: -30*h - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106001 + -3?\nAnswer: -106004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22232, 22226, 22216, 22202, 22184, 22162?\n\"Answer: -2*h**2 + 22234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -801?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -223 + 265 + (5 - 33)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000110628547 rounded to seven decimal places?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose 6 = t*w - 230. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -152*r**2. Let q(d) = d. Determine g(q(i)).\nAnswer: -152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:41 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 0*x**3 + 3*x - 5*x**2 + 7 + 2*x**3 - 4*x. Suppose -c + 7 = 2*t - 7, -2*t + c + 10 = 0. Is j(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.27, -1, 2\/43, 3, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1375\/304 + 80\/19. Let q = -18737\/12 - -1559. Calculate the common denominator of y and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 1.648.\nAnswer: 3.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 13*g - f - 13 = 0, 4*f = -3*g + 3. Let h = 120 + -80. Calculate the highest common divisor of g and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -0*m. Suppose 2*k = m*k - 212. Let w = -2117 - -2145. Calculate the remainder when k is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92683146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, n: 1, h: 3, u: 5, b: 1}. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + j - 68 = 0, 3*j = 2*h + j - 68. Suppose 0 = 5*s + 3*k - h, -s + 2*k = -4 + 5. Solve -4 = s*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70792 and 3167942?\nAnswer: 12671768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/25 (b) -0.5 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times 29?\nAnswer: 0.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g + 1 + 1608*g**3 + 1 + 1607*g**3 - 3216*g**3 to the form x*g + c*g**2 + z*g**3 + w and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 5:27 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.733677 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 2.9, 1, -1112.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*p + 2 = -0*p, -3*m + 26 = p. Suppose -171 = 7*w - m*w. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -25, -32, -37, -40?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16*m - 367. Calculate the remainder when b(-31) is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 > 3050\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 3}. Give prob of sequence lll.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(156)*-3 + sqrt(156) + sqrt(156)) - -1*(2*sqrt(156) - sqrt(156)))\/((sqrt(132) - sqrt(132)*-2*5)\/(sqrt(880)\/sqrt(5))) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120509 - 120818 - 4*p**2 + 12*p**2 + 241327.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 273*g**2. Let h(r) = -5*r**2 - 10*r - 220. Let q(b) = -2*b**2 - 3*b - 66. Let u(z) = 3*h(z) - 10*q(z). Calculate f(u(c)).\nAnswer: 6825*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1252)\/(-13146) + (-3604)\/(-84)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d**(-5)*d*d\/(d**6*d)*d\/(d\/(d**(2\/23)\/d))*d assuming d is positive.\nAnswer: d**(-412\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = -b. Let d = b - 5. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 22)*(-4*z + 5*z + z).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1073, 1891, 2709, 3527, 4345, 5163?\nAnswer: 5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 24*q + 25*q + 7*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-12)*((-7488)\/(-78))\/48?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*d**2 + 73407*d + 300777.\nAnswer: 3*(d + 937)*(26*d + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/4 - 2108617*a**3 - 8892535522611*a**2\/2 - 8892529196761*a - 17785054176289\/4 = 0. What is a?\nAnswer: -4217233, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.2547, -44, 0.3, -1.2, 0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/48149 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (-81 - -174) + -4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 31 - 15*u + 18*u - 14*u. Let z be p(2). What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*x + 80, 0*x - 3*k = 3*x + 96. Let w be (-50)\/20*(-8)\/x. Which is the smallest value? (a) 0.06 (b) 2\/7 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 3, v: 6, j: 4}. Give prob of sequence jzj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3016 and 2216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5929768, -5929766, -5929764, -5929762?\nAnswer: -5929760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iioi when four letters picked without replacement from {i: 3, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 87?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98256 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 7, l: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1192 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-970)\/(-70) + -13 - 60\/35.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12916439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Suppose 2*b = 6, -s - b = -4*s + 9. Let a(g) = 5*g - 5. Determine s*a(j) + 22*m(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28519, -61950, -95381?\n\"Answer: -33431*q + 4912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3629696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*u - 440, u = -1 - 4. Let i be (-1 - 2)*n\/(-30). Let a = -7 - i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5624113.\nAnswer: 11, 31, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 8 = 2*u. Let f be 68\/u + (6 - 3). Let m = 556\/9 + -62. Which is the closest to 0.2? (a) f (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 50*m - 46*m - 51821 = 0, 3*m - 51827 = -5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 5, 14, 292 in ascending order.\nAnswer: -11, -4, 5, 14, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r + 4. Let n(s) = 6*s**2 - 6*s - 20. Determine 16*f(c) + 3*n(c).\nAnswer: 2*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783149477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmgmmgmgmggmgmgm.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.98 + -0.68. Let n = 73 + -70. What is the second biggest value in t, -2, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/14*-1)\/((-1)\/(-7)). Let o be 9\/(-54) + (-1)\/(v\/19). Suppose -o*b + 2 = -13. Solve 0 = b*j - j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(30\/(-21) + 1)*175\/(-150). Which is the closest to 0.1? (a) 289 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.68 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, s: 5, n: 1, e: 3}. Give prob of sequence en.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2809.646638 - 0.053362. Round b to the nearest ten.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**7)\/(t\/t**(3\/8))*(t*t**0)**(1\/20) assuming t is positive.\nAnswer: t**(-263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -68*y - 881. Let v be m(-13). Solve -v = 4*w - w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 5*v - 62, -36 = -2*v - 2*p. What is the lowest common multiple of (-6)\/(-4)*(-132)\/(-9) and v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0 - 4*s**2 + s**3 + 9*s**2 - 2 - s. Suppose 0*k + 5*k - 40 = 0. Let f = 3 - k. Determine m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -5*w**4\/24 + 35*w**3\/6 - 245*w**2\/4 - 4*w - 6. Factor u(j).\nAnswer: -5*(j - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 12 = 5*d, -2*d + x - 14 = -26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 + 234\/24. Let s = 55 - b. What is the greatest common factor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/3 and 151889 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 28 - 24 + 2*b - 4*b as i*b + h and give h.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**7 + 2*j**2 + 0*j**6 + 0*j + 5\/24*j**4 + 1\/56*j**8 + 0*j**3 + 0*j**5 + 0. Find the second derivative of v(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 235, 1, 3, -2, -168 in descending order.\nAnswer: 235, 6, 3, 1, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*v - 99, 0 = -2*v + 6*v - 3*a + 135. Let h = 148 + v. Calculate the highest common factor of h and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1575\/34 - -796\/17. Find s such that 1\/2*s + 0 + 0*s**2 - g*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 746\/5 - 9688\/65. Which is the nearest to 12? (a) t (b) -0.02 (c) 2\/19 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 - 218. Let t(i) = -i**2 - 35. Determine l(t(f)).\nAnswer: f**4 + 70*f**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let f(p) = 411411*p**2. What is f(c(l))?\nAnswer: 411411*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 17*c - 2. Let l be b(17). Let o be (0 + 3 + -4)*l. Suppose -o = 2*x - 6. Solve 0 = x*a + 1 + 7, -z - 5*a = 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x + 3*m = 91, 5*x + 4*m - 455 = 0. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56735 + 3073?\nAnswer: 60818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22833\/11 - 2076. Which is the nearest to -2\/5? (a) u (b) -9 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15148)\/14*2\/(-4). Suppose 2*m + 2*i - l = i, -5*i + 1085 = 4*m. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 329, 735, 1245, 1823, 2433, 3039?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:52 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -80259*c + 1022. Let m be g(58). Round m to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49223.8 minutes in seconds?\nAnswer: 2953428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-616285 + 616285 + 408*b**2) + (-b - 3*b + 5*b)*(2*b + 3*b - 3*b))*(-2*b + 4*b + 0*b) to n + l*b + y*b**3 + k*b**2 and give y.\nAnswer: -1628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46850313019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190288583*y**4 - 3213791*y**2 - y - 5 wrt y?\nAnswer: 4566925992*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let r(n) = 4*n + 2. Let j be 18\/(-14) - 10\/(-35). Suppose 126 = -286*y + 349*y. What is j*r(l) + y*p(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/12*16\/6. Let f be (3\/(-6)*o)\/(-1). Let l = 4 + f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16863 by 5621.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63, 98, 135, 174, 215?\n\"Answer: u**2 + 32*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 0, -9888, 4, -3 in decreasing order.\nAnswer: 4, 0, -3, -4, -13, -9888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2130 and -131\/120?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585881 times 8?\nAnswer: 4687048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = y + 3. Let c = 5 + -3. Suppose -2*p - c*p = 0. Solve -4*x + p*f - y = f, 5*f = 2*x + 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Differentiate 1 - v + 0 - 2 - 2*k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 2 + 2*t**3 + 0*t**3 + t**3 - 4*t**3 + t. What are the prime factors of s(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 2*g + 1. Let b be n(1). Let q(o) = 11*o - 4. Suppose -2*j = -0*j - 106. What is the remainder when j is divided by q(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10781 is divided by 384?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 10210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16293, -16279, -16269, -16263?\n\"Answer: -2*f**2 + 20*f - 16311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8314973.\nAnswer: 37, 224729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 3*1*sqrt(156) - sqrt(156))\/sqrt(12).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 k when four letters picked without replacement from kbbbkkqb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 9*r + 6. Determine s(-9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose -u + q*u = 4. Put 3, u, -5 in increasing order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {q: 5, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from rjr?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*q = 416, 2*k - q - 640 - 185 = 0. Find the common denominator of 228\/(-2)*(-4)\/126 and (-1)\/(-6)*(-9 + k\/28).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1559*i - 720*i - 705*i. Let j(h) = h. Calculate r(j(c)).\nAnswer: 134*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53970 divided by 30.\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**4 - 2248*k**3 + 245676*k**2 - 243432*k = 0.\nAnswer: 0, 1, 147, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10378.371 to the nearest 100.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5450465.\nAnswer: 5, 43, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-4) + (-2 - (7 + -16 + 4)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*c + 5216 = 12*c, 2584 = 2*z - c. Which is smaller: 1297 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(432) + 5 + sqrt(432) - sqrt(432))**2 + -5 + (sqrt(432)*1)**2)*-4 + -1.\nAnswer: -12677 - 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2209 + 7575. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) - 2 - (-32 + 30). Solve 2*v + 4*d + 16 = 0, -6*v - n*d - 10 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286 divided by 8?\nAnswer: 1143\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 651176809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 2*m - 183 - 377 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((sqrt(96) + sqrt(96) + sqrt(96) + -2*sqrt(96) + sqrt(96))\/sqrt(8)))**2 + (sqrt(320)*-2 + 3)**2 + -5.\nAnswer: -96*sqrt(5) + 5141\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 1760 = 28991. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 2 + 2 + 65*r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-160)\/(-52)) + (-6200)\/(-325). Let i(v) = -v**3 + 18*v**2 + 17*v - 2. Give i(j).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1393 - -1395. Let p = 3 + -3.5. What is the second smallest value in 1\/4, 0, k, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/200)\/(3\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3937 + -3942. Let r(b) = -6 - 4*b**3 + 3*b**3 - 6*b**2 + b**2 + 8. Give r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 1129*q + 27018. Determine d(-256).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46749.84mg to kilograms.\nAnswer: 0.04674984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + (-7 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7594017 hours to nanoseconds.\nAnswer: 2733846120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:26 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 21708?\nAnswer: 86832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*2\/42 - (-2)\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.45315607 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22908 and 103868.\nAnswer: 25863132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x - 101*x - 2161937029 + 2161937029.\nAnswer: -69*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-382)\/2 - 1 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 125, 201, 275, 347, 417?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2085070 by 43.\nAnswer: -48490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55033104 and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2383164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7694*g**3*j**5 - 11732*g**3*j**2 - 2*g**3 - 13*j**5 + 3*j**2 wrt j.\nAnswer: 461640*g**3*j**2 - 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525020370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*m + 102*m + 12. Let w(a) be the second derivative of a**4\/3 + a**3\/2 - 5*a**2 - 3*a. What is the units digit of w(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827175 (base 11) in base 2?\nAnswer: -1011110100100010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = g + 15, -4*g - 49 = 3*o - 4*o. Let y(i) = -2*i - 21. Let k be y(g). Put k, 1, 11 in decreasing order.\nAnswer: 11, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.184 - -0.116. Let g = -4.2 - -4.37. Let w = -0.07 + g. What is the closest to 1 in w, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 11*a - 36. Let w be b(8). Let n = -1209 - w. What are the prime factors of n?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -165a6a + -27?\nAnswer: -165a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.14 + 0.14. Let a be 1\/((7\/2)\/(-1)). What is the second smallest value in -5, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 137.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211.2 - 563972.\nAnswer: -564183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wwk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**4 + z**3 - 2*z**2 - z. Let u(w) = -13*w**5 - 20*w**4 - 4*w**3 + 171*w**2 + 2*w. Let n(v) = 4*a(v) + u(v). Find the third derivative of n(j) wrt j.\nAnswer: -780*j**2 - 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464737 and 5602379.\nAnswer: 5107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, -2, -5 in decreasing order.\nAnswer: 26, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 7. Let r(n) = 2*n**2 + 22*n - 48. Let g be r(-13). Solve g*z - z = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 555*h**2 + 862*h + 6976. Calculate w(-279).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 22*s - 12*s - 4 + 4 - 12*s. Let a(t) = -139*t**2. Give a(m(r)).\nAnswer: -556*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126136 is divided by 6006.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*v - 34 = 0, 1 = -b - 0*v + 4*v. Let r = 5 - b. Suppose -1 - 5 = -2*j. Sort j, r, 5.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeebezweeeb. What is prob of picking 2 e and 1 b?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3 and -67\/16250?\nAnswer: 48750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n**2 + 9*n**2 - 3*n**2 to the form g + p*n + h*n**2 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-4)\/(20\/(-15)). Suppose -j*a + a = -2. Let b be 0 - 21\/23 - -1. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(8) + sqrt(32)\/sqrt(4))*-5*-5.\nAnswer: 1 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/42 - (-8)\/(-28). What is the smallest value in 3, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = -5*j + 23, j + 5 = 4*f. Find the third derivative of -3*d**2 - 3*d**2 - 8*d**3 + d**f wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 950*t = 973*t - 738208. Is 74 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.21 (c) -29 (d) -0.1 (e) -612 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853.49707 rounded to zero decimal places?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 6*y**2 - 2*y + 17. Let i be z(6). Suppose -3*o + 6*o = -2*q + 14, q + 45 = i*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 25. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1)**2 - (2*sqrt(1331) - sqrt(1331))**2) + -1.\nAnswer: -935 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -601666.139.\nAnswer: -601665.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-1\/8))\/i)\/(i*i**5\/i*i))\/(i**(-3)\/(i*i**7\/i*i)) assuming i is positive.\nAnswer: i**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 757231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/9 - 854*t**4\/9 + 6736*t**3\/9 - 13408*t**2\/9.\nAnswer: 2*t**2*(t - 419)*(t - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/484 and -81\/108416.\nAnswer: 108416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/3, 115307, 2, -4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buss when four letters picked without replacement from {b: 1, u: 1, c: 1, z: 2, q: 1, s: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 671 - 627. Let q(l) = -l**2 + 4*l + 1. Let c be q(3). What is the greatest common divisor of c and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -296, -249, -150, 19, 276, 639, 1126?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05926 + -0.35926. Let x = 0 - -1. Which is the closest to x? (a) 3 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u - 25. Let l be y(4). Suppose -8*n = s - 4*n + 14, -l*s - 3*n - 6 = 0. Factor 4\/9*k + 2\/3*k**s + 0 + 2\/9*k**3.\nAnswer: 2*k*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18297, -73189, -164675, -292755, -457429, -658697, -896559?\nAnswer: -1171015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 18 - 4*g**5 - 5*g**4 + 20*g**3 + g**4 + 34 - 32*g.\nAnswer: -4*(g - 1)**3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let p be (464\/(-145))\/(2\/(-15)). Suppose 0 = 5*x + 3*g + 2 + 27, 0 = -3*x - 4*g - p. Determine q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/5680 and -41\/196?\nAnswer: 278320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:47 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 1603?\nAnswer: 60914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**4\/12 - f**3\/2 + 10*f**2. Give o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1184 and 12506?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 933441 and 7936?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3, 10*b - 5*b - 29744 = -3*r. Let u = 260489759\/26334 - -27757\/1197. Let d = u - r. Calculate the common denominator of d and -13\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1735*h**2 - 5 - 1689*h**2 - 11*h + 3431*h**2 - 4*h)*(-5*h**3 + 2*h**3 + 2*h**3).\nAnswer: -7*h**5 + 15*h**4 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 36*w - 37*w + 710, -4*j - 2140 = -3*w. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513688*g - 3 + 3 + 1513648*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 6*x + 18*x)*(1 - 3 + 1)*(3 - 2 + 0).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 3, 96, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 989115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.1, 11, 1\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - i + 0 + (5*i + 2*i - 5*i)*(4 - 3 - 2) - 2*i + 2 - 2 + 0*i + 3*i - 4*i + 0*i + 3*i - 4*i + 6 - 2 - 497915*i + 498398*i to s + f*i and give f.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 56. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.82 + 14\nAnswer: 12.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 20. Find the second derivative of -7*c**j + 15*c - 26*c + 0*c wrt c.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5 - a**3)*(-8*a + 47*a + 46*a) as l*a**2 + w*a**3 + m*a + u*a**4 + y and give m.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z**2 - 5. Let c(t) = -2*t**2. Give h(c(u)).\nAnswer: -96*u**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)\/q*q*q**5)**(-30)\/((q**(-1)*q)\/q**(-1\/10))**(-38) assuming q is positive.\nAnswer: q**(-2293\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2560*t**2 + 459*t**2 + 6113*t**2 - 3*t + 877*t**2.\nAnswer: 10009*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 727 = -623. Let m(p) = 7*p + 12. Give m(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 55*s**2 + 44*s - 544. Determine t(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * -1415722\nAnswer: -637074.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000221100211 (base 3) in base 12?\nAnswer: -a90527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1313.54272 to the nearest integer.\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 11*w + 2. Calculate the least common multiple of 8 and w\/(-3)*-2*-15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (117 - 107)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-21))\/(((-12)\/(-2))\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 409634.6 litres?\nAnswer: 409634600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*5\/(-60)*2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*p - 30, 4*i + 4*p + p + 60 = 0. Let l(h) = h**3 + 15*h**2 - 4*h - 18. What is the remainder when 125 is divided by l(i)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 65 - 23 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391110.9 - -0.13.\nAnswer: 391111.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119387*0.2.\nAnswer: -23877.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 379462, 378955, 378446, 377935, 377422?\n\"Answer: -c**2 - 504*c + 379967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22344, -44685, -67026, -89367?\nAnswer: -111708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 54*s**2 - 2*s + 1. Let o = 3 + -2. What is the tens digit of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*x - 249*x = 13920. Calculate the highest common factor of 48 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -75.7. Let w = t + -3.7. Let k be (-1)\/(-3) + 8\/(-15). What is the nearest to 0 in 3, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.4 (c) 1\/2 (d) 2 (e) 0.6 (f) -0.231631\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 + -73. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + a**2 + a - 14 - 4*a**2 + 9*a**2 - 3*a**2. Let q be 17\/68 - 1\/4. What is j(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 + -277. Let b = u + 100.7. Sort -0.2, -1, b in descending order.\nAnswer: b, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 1390*x + 15895 = 0.\nAnswer: -11, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Let p = -605\/14 - -87\/2. Sort c, -5, p in descending order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 8) to base 11\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -30, 50, 194, 420?\n\"Answer: 3*y**3 + 5*y**2 - 2*y - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/12)\/((-4)\/18). Let r be 9\/b + 0 + 111. Suppose -5*v = 3*j - r, v = -3*v - 3*j + 90. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 13. Suppose 4*g + 2*f - 3*f - 39 = 0, -2*g + 15 = f. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 times 0.042\nAnswer: -4.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:37 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -248.567 take away 28242754?\nAnswer: -28243002.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-1.72.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 8 = 0. Suppose 4*i = -q*f + 150, 3*i - 4*f = i + 70. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 24*v + 101. Let l be w(7). Let z be (-12)\/l*(-4)\/(-12). Is z less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -1354, -2033?\nAnswer: -2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*y + g + 26, -y + 8 = -2*g. Let u(o) = 2*o**3 + 35*o**2 - 109*o - 174. Let c be u(-20). Factor -13*m**3 - 12*m + y*m**3 + c*m**3 + 3*m**2 - 12.\nAnswer: 3*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 41 - 49 = 0. Let j(v) be the second derivative of 0 + 2\/3*v**3 + 1\/5*v**5 - 2\/3*v**4 - 3*v + 0*v**o. Factor j(b).\nAnswer: 4*b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(5*p + 0*p - 2*p)*((5 - 2 - 2)*(-3 + 0 + 1) - 1 + 2 + 3)*(25 + 20 - 38).\nAnswer: 84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78800 and 1600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3615 + -2559. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from {z: 1, s: 1, g: 12}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3685*g - 18. Let y(s) = -14935305*s - 72963. Calculate -8107*f(t) + 2*y(t).\nAnswer: 3685*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22038 is divided by 667?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -29*j**3 + 11*j + 5. Let a be (-306)\/(-39) - (75\/(-65) - 6 - -7). Let g(i) = 19*i**3 - 7*i - 3. Give a*g(f) + 5*r(f).\nAnswer: 7*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*p = 35, 2*k + 13*p - 10*p = 30. Find the first derivative of 188*q + 7*q + 41*q - k*q + 11*q + 165 wrt q.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 11 = -4*k, -3 = -77*h + 72*h - 2*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 5\/6 (c) -2\/13 (d) 0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -7*x**3\/6 - 9*x**2\/2 - 261*x + 2. Calculate k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-37 + -1 + 25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*8\/(-42)*10\/(-20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-10)*(-20)\/24. Let l = -0.4 - -1.4. Let x = -6 + l. Put 0.5, x, o in decreasing order.\nAnswer: 0.5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Suppose y*g + 24 = -2*g. What is the units digit of (-4)\/(g\/27) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 2, a: 4}. What is prob of picking 2 a and 2 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -29. Let k(y) = -y**2 - 6*y + 1. Let s be k(a). Let g = 0 + s. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 315. Solve -3 - c = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 6*i**2 - 41*i\/4 - 33\/2.\nAnswer: -(i - 22)*(i - 3)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7495151 + 9*l + 7495151.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8133365 millilitres to litres.\nAnswer: 0.0008133365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2651 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 632*c + 2 - 205*c - 250*c - 193*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 10*i + 20. Suppose -3*r - 2*h + 13 = -3*h, 0 = 2*r + 4*h - 32. Let u(l) = -2. Let c(w) = r*u(w) + o(w). Calculate c(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256.6 - 256.66. Sort -1\/5, 1, m, 4 in decreasing order.\nAnswer: 4, 1, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {i: 1, c: 2, b: 6, r: 8, w: 1}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-660))\/(45\/4860)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 8) to base 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, p: 2, f: 3, r: 8}. Give prob of picking 2 r.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -8791066?\nAnswer: -2\/4395533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w*w*w)**(-7\/5)*(w**(-1)\/w)**(-15))\/(w**(-2\/7)*w**(3\/4))**(-11\/8) assuming w is positive.\nAnswer: w**(29611\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 492 (c) 1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2888 and 40\/361.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*n**4 + 6*n**3 + 11*n**2 - 8379*n - 5?\nAnswer: 504*n**2 + 36*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -15. Suppose 2*d - 6 = h. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.23281 to two dps.\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1745\/(-6282))\/(10\/(-16))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 10:31 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u + 149. Let l be f(9). Let s(x) = 5*x**2 + 4*x - 5. Let z(o) = 6*o**2 + 5*o - 6. Give l*s(r) + 3*z(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/25*(-4)\/(-18). Let t = c - -2783\/150. Calculate the common denominator of t and 0\/3 + 302\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 15*a - 82. Let l be s(26). Calculate the greatest common divisor of l and 4352.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 + -187. Let f be (y + 2)*((-10)\/4 + 1). Solve 4*b = -2*u + 22, -f*u = 3*b + 2*u - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 6. Let b be v(4). Let p(g) = -g**3 - 3*g**b + g - 3 + 2 - 2*g**2 - 5*g. What is p(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 39. Suppose s - 19 = 4*g, 3*b = -5*g - 198. Let m = b + 129. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 27 = -0*y + 5*y, 5*y + 11 = -2*o. Let q(m) = m**2 - 4*m. Let p(i) = i**2 - 4*i + 1. Let k(g) = -2*p(g) + 3*q(g). Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -18075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36612505 divided by -5.\nAnswer: 7322501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8240, 8065, 7890, 7715?\nAnswer: 7540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + k + 9. Let t = -4215 + 4213. Calculate p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/7*38\/(-285)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 0, -q + 20 = 4*n - 3*n. Suppose -q = -5*k + 5*z - 4*z, 0 = 3*k - 5*z - 19. Sort -1, k, -0.4.\nAnswer: -1, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81060 by 386.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -131 (b) -2 (c) -0.5 (d) -1 (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)*a\/(a**(-18)\/a) assuming a is positive.\nAnswer: a**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 17*o**2 + 30*o + 2. Let b be u(-15). What is the second biggest value in b, -1, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250645247?\nAnswer: 103, 601, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + (-7 - -5) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.993687nm to meters.\nAnswer: 0.000000004993687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 91*n**2 - 189*n - 283. Determine b(-93).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 29447*c - 2964*c**4 + 8*c**2 - 2*c**3 - 29445*c + 2*c**3 to the form a*c + b + n*c**3 + g*c**2 + k*c**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x - 27. Let j be y(5). Suppose -9*n = -j*n. Which is the closest to 0? (a) -5 (b) n (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + 5*j**2 + 11*j - 3. Let w(g) = -g**3 + 2*g**2 + 4*g - 1. Determine -4*t(m) + 11*w(m).\nAnswer: m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.69495 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.9 + -11.1. Let g = 53 + l. What is the second smallest value in -5\/2, g, 2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.82 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346767 = -86*g + 89*g + f, 4*g = 2*f - 462366. What is g rounded to the nearest one thousand?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.2 + -303756.69467.\nAnswer: -303735.49467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55442954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0)\/(-1)*(-22 - -20). Suppose 4*o - 3 = -19, h*o = g - 38. Let s = 223 - g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 18 = 3*q - j, 3*j - 13 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + 56*v**2 + 186*v + 819. Calculate x(-16).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/130*(6\/(-12))\/(-1).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.147 + -99.853. Let y = -116.3 - f. Let i = -30 - y. What is i rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 2*j - 29511 + 29510 - j**2 + 4*j. Let g(w) = w - 3 - w**2 + 8 + 3*w. Let y(k) = 4*f(k) + g(k). Give y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -8.5. Let i = 2 + h. Let u(z) = z**3 + 2*z**2 - 2*z - 2. Let b be u(-2). What is the biggest value in i, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 4, q: 5, h: 2}. What is prob of sequence xqt?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/7, -2.2976, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {z: 1, b: 2, t: 2, k: 4, p: 5, i: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15 = 4*t - 7*t, -3*r - 3 = -t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*q - 20, 13*c = 8*c + 3*q - 49 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246655 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cad - 1?\nAnswer: 1cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -22 - -11)\/(-1 + -1). Sort v, 3\/2, -0.2, -1 in descending order.\nAnswer: 3\/2, v, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -5\/2*c**3 + 0*c**4 - 8*c**2 + 9\/40*c**6 + 0*c**5 + 0 + 0*c. Differentiate t(h) wrt h.\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 710.147 = -380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 235 and 431211?\nAnswer: 101334585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 - 2*k**3 - 3*k**3)*(-3 - 5*k + 3).\nAnswer: 25*k**4 + 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-78)\/(-14))\/(16\/(-56)). Let l = g - -40. Sort -3, l, 4, -1 in decreasing order.\nAnswer: 4, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 243\/16*j**4 - 21 - 51\/2*j**2 + 63\/2*j**3 + 6*j. Determine r, given that y(r) = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 2*i - 71. Suppose i = -29*g + 24*g + 550. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2)\/sqrt(8)*3 + sqrt(9)\/(2*sqrt(192) + sqrt(192) + sqrt(192) - sqrt(192)).\nAnswer: 145*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 0.0906.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -10)*(-418)\/3 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d. Let m be ((-34)\/(-85))\/(((-110)\/350)\/11). Let r(l) be the second derivative of l**3\/3 - l. Determine m*r(x) - 4*f(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4 - 52*z**3 + 216*z**2 - 368*z + 224 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 + 5*p**3 + 3*p**3 - p**3 - 3*p**2 + 3*p**2 + (2*p**3 - 3*p**3 + 0*p**3)*(-3 + 2 - 1).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -326650 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 + -1463\/4. Let n = -405\/4 - d. Let w = n - -16. Sort -3, -1\/3, w in increasing order.\nAnswer: -3, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*7\/343*4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/540 and 157\/11370.\nAnswer: 204660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2 + 11\/14*q**2 - 1\/7*q**4 - 3\/7*q - 8\/21*q**3. Factor n(y).\nAnswer: -(y + 3)*(2*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from vvwvwuuuvuwwwv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(1*sqrt(475) + 2))**2*-2 + 4 + -4 + 1.\nAnswer: -981 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 10c8e3d?\nAnswer: -10c8e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 4*n + 2\/5*n**5 + 1\/15*n**6 + 2\/3*n**4 + 0 + 0*n**2 + 0*n**3. Factor h(d).\nAnswer: 2*d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 51 = -5*o. Let q(i) = i**3 + 6*i**2 + 2*i - 2. Let k be q(o). Let p(r) = -r**3 + 21*r**2 - 37*r - 19. Let z be p(k). Solve -8 = -z*h - 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + z + 6)*(22*z - 44*z + 27*z) + 52*z**2 + 44*z**2 + 26*z - 26*z + (2*z + z - z)*(2*z - z + z).\nAnswer: 105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110063 + 1217?\nAnswer: 111302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 9 - 9. Let m be (3\/9)\/((-2)\/b). Suppose -2*y = 5*o - 81, -o + 25 + 64 = m*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 201*w - 205. Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10736 + 10732. Sort 2, w, 73, 9 in ascending order.\nAnswer: w, 2, 9, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2*v**3\/3 + v**2 - 2*v - 1. Suppose f = 4*h + 12, -7*f = 3*h - 5*f - 2. Calculate the least common multiple of 2 and l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {q: 4, x: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4*p + 5 + (302 - 69 + 34 - 96 + p)*(0 + 1 - 2) in the form t + f*p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -0.3, 13603, -30, 5 in decreasing order.\nAnswer: 13603, 5, 0.5, -0.3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 8*m - 2 = 0. Let j = 4 + -2. Suppose -4*v + 5*r - 25 = -5*v, -j*v = -4*r + 6. Sort v, m, -5 in ascending order.\nAnswer: -5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/10 (c) -816 (d) -31\/5 (e) 2\/3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) -5\/4 (c) 0 (d) -4 (e) 18\/1013 (f) 0.3 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2141 = q, -2*w + 553 + 5802 = 3*q. Suppose 3*n - q = 2*b, 5*n + b + 2*b = 3554. List the prime factors of n.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7104084 divided by 1209?\nAnswer: -5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 - 987*f + 149 - 439*f)*(4*f**2 + 2*f**2 - 4*f**2) to n*f**2 + y + c*f + s*f**3 and give s.\nAnswer: -2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81771031.\nAnswer: 251, 325781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 326225467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(3*(-4)\/2016). Suppose -4*j = -3*j + 6. Let z = 62 + j. Calculate the greatest common divisor of z and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 1858876*j**3 - 16729620*j**2 - 27882500*j + 46471000 = 0. Calculate j.\nAnswer: -464710, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 72 = 13. Let a = l - 8. Is 20 - (-3)\/a*-3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - g - 1. Let v be n(-5). Let p = -0.27 + 0.293. Let z = p + -0.123. Which is the nearest to z? (a) 5 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 359*i**5\/20 + 1433*i**4\/12 - 7*i - 50. What is the third derivative of r(t) wrt t?\nAnswer: 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 8*r + r**2 + 0*r**2.\nAnswer: -2*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*v**3 + 350*d**2*v + 68*d**2 + 8758857*d*v**3 + 87*d*v wrt v.\nAnswer: 12*d**2*v + 52553142*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 15*y + 1. Give l(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4157 by -1.\nAnswer: -4157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d**3 - d**2 - d + 1. Let j be y(2). Suppose 3*a = b + 79, 3*b - b + j = 3*a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*q**3 - 75*n*q**2 - 15*n - 39450*q**3 wrt n.\nAnswer: -2*q**3 - 75*q**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -25534\/2063?\nAnswer: -25534\/2063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 + 15*u**2\/2 - 5*u - 1. Is h(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 + -185. Let b = s + -80.95. What is the closest to -0.1 in b, 3, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1701*x - 2635 - 5125*x + 1715*x + 1708*x - 3698 + (2 - 2 - 2*x)*(1 + 1 - 3).\nAnswer: x - 6333","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 19304*u\/7 + 96570\/7.\nAnswer: -2*(u - 9657)*(u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a55 (base 16) to base 8.\nAnswer: -15125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 36 = 2*d. Let j be d*12\/(-8)*1. Suppose 2*y + j = 5*y. Solve y*i + 5*v + 17 = 2*i, 2*v + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76, -138, -206, -286, -384, -506, -658, -846?\n\"Answer: -k**3 + 3*k**2 - 64*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 13, 9, 0.4, 72, 4 in increasing order.\nAnswer: -1\/5, 0.4, 4, 9, 13, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*x - h, -h - h = 4*x - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75613693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 862095983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379 or 36648\/97?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 1. Suppose b = -47 + 49. Let z be (b\/4 - 1)\/(25\/50). Let s(w) = w**2 + 2*w + 4. Calculate z*s(o) - 6*v(o).\nAnswer: 5*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 1586.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 29400*x**3 - 420*x**2 + 2*x + 1319. Determine t so that b(t) = 0.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c718b + 4?\nAnswer: 26c7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Suppose 2 + 14 = -4*v. Let x be b(v). Solve -x*i + 0 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c. Suppose -21 = -4*w + 3*r, w - r - 6 = -c*r. Is 3 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32 + 5 + 2)*1. Suppose -4*a - 3*w + 21 = 0, 7 = -w + 10. Calculate the highest common divisor of a and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/((-7)\/(-7)))\/(-3))\/(10\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2816002*n**3 - 5632047*n**3 + 2816049*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.6 * 106\nAnswer: 805.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 + 0.4. Let q(c) = -c**2 - 5*c. Let d be q(-3). Suppose -5*f - d = 2*r, 2*f = 6*f. What is the second smallest value in -1\/5, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b + 9. Suppose -2*p - 19 = -4*t - b*p, -4*t + p + 13 = 0. Solve 0 = 5*g - r + t + 14, 4*r = -2*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 13*v**3\/3 - 11*v**2\/2 - 7*v + 4106. Let m(q) = -7*q**2 + 8 + 5 + 6*q - 9. What is -7*m(t) - 4*z(t)?\nAnswer: -3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 - 83*d + 6. Give x(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5550 + -5556.302. Let q = -1.788 + n. Let a = q + 7.9. Which is smaller: -2\/5 or a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -14\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -15) + (-1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.71. Let b = -0.29 + h. What is the third biggest value in 1\/4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -759, -762, -765?\n\"Answer: -3*s - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/y**(-33) assuming y is positive.\nAnswer: y**(167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/712*(-44)\/1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(240 - 6)*4)\/(6\/27). Let x = -74 + 75.65. Which is the nearest to 0.1? (a) 2 (b) x (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w**2 + 5*w - 392. What is the tens digit of x(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:21 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -12, -3, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*v**6 - 7*v**2 + 33 wrt v?\nAnswer: -12960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:21 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03748 + -21.96252. Which is the closest to -0.1? (a) o (b) 0.01 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 16. Let q = v + -1.002. Let g = 0.06 - q. Round g to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from mymyoyyyoyxyoop?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from rhz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 15*d - 8. Calculate the remainder when h(3) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 15, -5.25, -84?\nAnswer: -5.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624288108.\nAnswer: 2, 3, 7, 29, 59, 151, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*r - 39. Suppose 71 = 2*m - 153. Suppose -2*b - 5*d = -r, 0 = -2*b + 5*b - 5*d - m. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose -89 = -v*w + 163. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 2*a. Let s be x(-4). Suppose 4*t = l - s, -8*l + 16 = -4*l + 4*t. Let c(o) = -o + 4. Let q be c(0). Solve -4*m + q = -l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -47. What is the lowest common multiple of 11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j + 19. Let b be z(0). Suppose -l = -5*r + b, 5*r - 21 = 4*l - 5. Suppose w = 3*u - 71, 0 = -u + 4*u + r*w - 91. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.230000882 + -5.23. Round u to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -13. Suppose a*k = 13*k - 48000. Round k to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2505\/7 and -359 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112003 (base 13) in base 2?\nAnswer: 1100010101100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 11*f - 11*f + (3 - 3 + 2*f)*(f - f - f) + (-4 - 2*f + 4)*(-3 + 3 + 1)*(-f - f + 4*f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 121*u**3\/6 + u - 3. Let y(p) = -p**2. Determine s(y(m)).\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/9 + 38\/18. Suppose -3*x + 20 = k*x. Is x >= 26\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/13 in 10\/9, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002986234 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 + 376. Suppose 0*x = -q*x + 910. What is the smallest common multiple of x and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 96\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*c - 295 - 287 = 0. What is the third biggest value in c, 2, 0.5, 23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Suppose 0 = 5*g + 4*a - 10, 5*g - a - 3 = 7. Let b = -1 - g. Let i be t(b). Put i, 1, 0 in descending order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11488, 45759, 102816, 182659, 285288, 410703?\nAnswer: 558904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8942 is divided by 710?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence off when three letters picked without replacement from {x: 1, f: 2, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.53464l to millilitres.\nAnswer: 91534.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*a**2*n**2*s**2 + 7*a**2*s**2 + 5*a*n*s - 14*n**2*s**2 - 2*n*s - 17*n + 2*s**2 wrt n?\nAnswer: 76*a**2*s**2 - 28*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34490*j**3*p*r + 603048*j**3*r + 6*j**2*p*r wrt p?\nAnswer: 34490*j**3*r + 6*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1319*z**2 - 369319*z - 172. Give t(280).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243199193?\nAnswer: 3, 414399731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {g: 2, w: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 8. Let p(r) = 11*r + 17. Suppose 5*g + 15 = 0, -2*g - g - 179 = 5*q. Let a = -47 - q. Calculate a*o(n) - 6*p(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x - 1. Let b be p(4). Let n be 135\/1 + -1 + 3. Suppose 0*c = 5*c + r - n, 2*r + 77 = b*c. Calculate the greatest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + a)*((-2*a + a + 3*a)*(-1 - 1 + 0) + 7*a - 3*a - a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -60105 divided by 15\nAnswer: -4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a - 5. Let b(f) = 24*f - 14. Let g(c) = 6*b(c) - 17*v(c). Let h = 2 - -1. Is 7 a factor of g(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -39. Suppose 4*p + g = 147, 0 = 5*g + c - 21. Calculate the greatest common divisor of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 57, -5\/3 in decreasing order.\nAnswer: 57, 2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 54, 94, 150, 222, 310?\n\"Answer: 8*f**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 9, e: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-3) + (0 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*((b - 5*b + 3*b)*(0 + 4 - 3) - 5*b + 2*b + 2*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5))**(-47)*t*t*t*t**(-2)*t*t*t**4)**(5\/6) assuming t is positive.\nAnswer: t**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 290802443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woc when three letters picked without replacement from wrtcosos?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -617, -1255, -1905, -2567, -3241, -3927?\n\"Answer: -6*x**2 - 620*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 2, h: 6, p: 2, r: 1}. What is prob of sequence gr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13*(1 - 0))\/(344\/(-129)). Let v = w - 25\/2. Find the common denominator of 26\/24 + 1 + -2 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*-1*sqrt(612) - (sqrt(153) + 1 + -2)*-3)*1.\nAnswer: -3 + 129*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 137*u + 25067. Give p(241).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 6. What is y(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2847 - 2847. Which is the third biggest value? (a) t (b) -267 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/2631343 and 51\/404822.\nAnswer: 5262686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 7*u + 9. Let n be s(6). Calculate the highest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 15. Let w(n) = -1422*n - 2841. Let p be w(-2). Solve -p*h + 3*z + 27 = 0, 0*z = 3*z + c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10250.3 rounded to the nearest one hundred?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - 3*x)*(-3 + 1 + 9)*((-2*x + 3*x - 2*x)*(0*x - 3*x + 5*x) + 0*x**2 + x**2 + 0*x**2 + 3 - x**2 - 3).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 307 (b) 0.05 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.328 - -47. Let w = -621.228 - x. Let s = w - -594. What is s rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.75, -3, -1\/20, -0.2, -85 in descending order.\nAnswer: -1\/20, -0.2, -1.75, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62510 is divided by 235.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + (-3865)\/35. Let q = -108 - u. Let b = 7236 + -72359\/10. Put -1, b, q, 2 in increasing order.\nAnswer: -1, b, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 - 388*k**4 + 2040*k**3 = 0?\nAnswer: -102, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 4\/21*b**3 - 17\/168*b**4 + 0*b + 0 - 1\/840*b**6 + 1\/42*b**5 - 34*b**2. Let g(z) = 0. Calculate z.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13679.\nAnswer: 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 12*y = 29, 3*y + 66 = 4*v + 76 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:19 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 10*g + 8. Let l(c) = -c**3 - 5*c**2 + 3*c + 11. Let w be l(-5). Let a be q(w). Which is bigger: a or 8\/29?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*s - 0*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 252*g**2 + 44*g**2 + 161 + 55*g**2 + 62*g**2 - 164.\nAnswer: -91*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23279 + 23278.3. Let l = 31 - 17. Suppose l = 2*t - 6*t + j, 5*t + 4*j + 7 = 0. Which is the second biggest value? (a) 4 (b) 2\/5 (c) z (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**16\/(t\/t**21) assuming t is positive.\nAnswer: t**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {f: 1, y: 1, a: 2, u: 2, s: 1, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835514867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**2 - 10*a + 4. Let r(h) = 15*h**2 + 19*h - 7. Let i(j) = 6*r(j) + 11*t(j). What is i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4107204 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13535581 = 794*i + 13486353 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494584808 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = 2*r + 14, 0 = 2*j + 5*r - 18. Suppose 6*b - j = 4*b. Suppose u + b*u - 24 = 0. Solve 0*y = 2*n - 4*y + 16, u = 3*n + 2*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 7450*l\/13 - 7448\/13.\nAnswer: -2*(l + 1)*(l + 3724)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 99. Let m be (-6 + 6)\/(1*-1). Let a be f(m). Suppose -a = -3*t + 3. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 607361.15 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d - 3*d - 2*d + 2*d**4 - 12*d + d**3 - 9 + 2*d**2 + 22*d to b*d**3 + t*d**2 + s*d + a + l*d**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 1303 + 40111677?\nAnswer: 40112980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1473, 1510, 1561, 1632, 1729, 1858, 2025?\n\"Answer: n**3 + n**2 + 27*n + 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -140. What is the second smallest value in q, 3\/8, 1.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -958773 divided by -3.\nAnswer: 319591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3854 divided by -2\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*l + 101 = 0, 3*l = -5*v + 8*l + 65. Suppose 0 = -c + 5*j - 4, -2*j - v = -c - 4*j. What is the remainder when 241 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 600.6 - 10.6. Let w = j + -589.5. Let l = -0.8 - -0.5. Put 0.1, l, w, 0.4 in descending order.\nAnswer: w, 0.4, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -0.3, -0.2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebb when four letters picked without replacement from {e: 4, b: 16}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/109019 or 1?\nAnswer: -1\/109019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-3)\/((-105)\/10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33 - 45)\/(-6*2\/16). Solve -5*l - z = -4*n, l = -3*n + 3*l + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, j: 5}. What is prob of sequence jj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000167534 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5971 - 5963. Suppose 25 = 5*d - 2*u, -2*d + 2 = u + 1. Suppose d*v + b - 78 = 16, 3*b + 59 = 2*v. Calculate the remainder when v is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:00 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1678 or -1679?\nAnswer: -1678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86360*t**2 - 3*t + 172723*t**2 - 67*t**3 - 86363*t**2.\nAnswer: -67*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 206\/(-1 + (4 - 1)). Suppose x - 4*u = 63, x + 5*u - 43 - 2 = 0. Let o = m - x. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -47*b**5\/60 + 664*b**2 + b. Let s(g) = g**2. Determine w(s(u)).\nAnswer: -47*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 2886, 5503, 9166, 13875, 19630, 26431?\nAnswer: 34278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203984216.\nAnswer: 2, 31, 822517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 106 = -4*x. What is the greatest common factor of 84 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)*d**28*d assuming d is positive.\nAnswer: d**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96422659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9231 = -155*y + 161*y - 84945. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3989 + 7798. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -4*v, -5*v = -2*r + 6*r - 35. Let j(u) = 6*u**3 + 2*u**2 - u + 2. Is j(r) 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 1538 and 3046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (10 + 1)\/1. Let m be b*1*2\/6. Let l be 126\/14 - (-5 + 9\/3). Solve 1 = m*o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = 9*v + 108. Solve m = g + 4, -v*g - 2*m = -g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eve when three letters picked without replacement from {v: 4, e: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23884 + 4?\nAnswer: -23880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196893429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from voozzzvo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389612024.\nAnswer: 2, 19, 2563237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337870987 to the power of 1\/2, to the nearest integer?\nAnswer: 18381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 116239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 2*w - 1. Let x(f) = f - 1. Give -p(j) + 4*x(j).\nAnswer: 2*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from {m: 2, h: 18}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 + 6*h + 1. Let o be (27\/6)\/(6\/(-8)). Give a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/9*(1 + 175\/(-154)). What is the closest to -2\/7 in 3\/14, -1, -0.03, p?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2119.3572 in increasing order.\nAnswer: -3, 1, 2119.3572","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -961, -1923, -2885, -3847, -4809, -5771?\n\"Answer: -962*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 42 = 5*p, -14*p + x = 15*p + 11*p - 36*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767 = 4*n + 127. Is n at most as big as 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let w(c) = 10872*c. Give g(w(k)).\nAnswer: 118200384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35c (base 13) to base 9\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 10*w + 93996. Let j = w + 7759. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 511 - 476. What is the remainder when 138 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 11\/4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 77.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4.739\nAnswer: -8.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**4 - 83*s**3 + 420*s**2 - 877*s + 637. Let h(u) = 31*u**4 - 248*u**3 + 1260*u**2 - 2632*u + 1912. Let g(l) = 8*f(l) - 3*h(l). Factor g(a).\nAnswer: -5*(a - 8)*(a - 4)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 4 - 19 - -4 - -16) + 11 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*x**2 - 86060*x - 222729 wrt x.\nAnswer: -36*x - 86060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19186264?\nAnswer: 2, 89, 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 - 219*s**2 + 24*s - 450. What is a(-73)?\nAnswer: -2202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/126561084 and 50\/9.\nAnswer: 379683252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219687 to the power of 1\/2, to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40817.7 litres?\nAnswer: 40817700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljjj when four letters picked without replacement from lllllljlllllljllljll.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -9*u + 185. Calculate the lowest common multiple of 10 and u.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 2*m + 2, m - u = 6. Let z = m - 1. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 516 + -509. Let d be v + (-13)\/((-546)\/(-288)). Factor -d*w**3 + 1\/7*w + 1\/7 - 1\/7*w**2.\nAnswer: -(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -874*x**3\/3 - 1593*x**2\/2 + 1482*x. Differentiate z(r) wrt r.\nAnswer: -1748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/(a*a**(-6))*(a**(-2\/3)*a*a)**(-3\/7))\/((a**1)**(-45))**27 assuming a is positive.\nAnswer: a**(8550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 - -0.5. Let j = -0.1085 + 2.1085. Which is the second smallest value? (a) 0.3 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.43 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 12. Let b be s(-17). Let j(g) be the third derivative of -g**4\/24 + 7*g**3\/6 + g**2. Calculate j(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173420.\nAnswer: 2, 5, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 2*q - 8*q**2 - q**3 + 5 - q - 5*q**2. Let a(i) = 2*i**2 - 1. Let d(j) = 4*a(j) + z(j). Give d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 6 = -18. What is the second biggest value in -14, 0.01, i, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -482088*i**4 - 438640*i**2 wrt i.\nAnswer: -11570112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, -2 in decreasing order.\nAnswer: -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.402 - -0.102. Let c be (-1)\/((-1)\/(2\/(-8))). What is the nearest to s in -0.2, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 2 (b) 4 (c) 292\/13 (d) 0.2 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 186, 411, 726?\n\"Answer: 45*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*k - 641 = -2555, -w - 2*k = -486. Let o = -265 + w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:54 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2*1*-5. Suppose -3*w - 32 = 59*u - 58*u, 0 = 2*w - 3*u + 3. Sort 0, w, q in ascending order.\nAnswer: w, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 9*d - 21. Calculate b(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 876 + -842 - ((-3 - -2) + 11).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -z + 9, 2*x - 2*z - 3*z + 23 = 0. Calculate the least common multiple of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 48. Solve 0*w - 22 = -3*q - 5*w, -4*w + p = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(8\/3)*-22. Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 721\/4 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 1)\/(-3) - 46. Let z = h - -70. Solve d - z = 5*y, 2*d + 3 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 m when three letters picked without replacement from {n: 1, g: 3, p: 1, k: 5, m: 1, v: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5912.2 - 5911.2. Let j = 2 - 0. Suppose -4*s - 2 = j. Which is the closest to s? (a) w (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -322*t + 331*t - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*o + 154 + 216, 5*o - 473 = -4*w. What is the greatest common divisor of 62 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832948.4um to centimeters.\nAnswer: 83.29484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 95.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z**3 - 64*z**2 - 65*z - 17. What is a(-5)?\nAnswer: 3583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smesp. What is prob of sequence mp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + (0 - 2 + 7)*(-1 - 8 - 1))*(-5*a**5 + 6*a**5 + 3*a**5).\nAnswer: -204*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39640 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(7\/4)))\/((u*u*u*u\/u**(-4\/3)*u)\/u))\/(((u\/(u\/((u**(2\/9)\/u)\/u)))\/u)\/u*u*u**(-4)\/u))**42 assuming u is positive.\nAnswer: u**(1057\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 2*q**2 - 3*q. Let k be h(2). Solve -2*t + 16 = 4*x, 2*x + 3*t - k = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-17 - -2) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/4262381 + 22594859561\/6734561980. Let a = u - 2\/395. What is the common denominator of -61\/22 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11851 is divided by 197.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 + 142.91. Let r = z - -0.09. What is the second biggest value in 3\/8, 4, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6501550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-20))\/(2\/(-5)). Let m be ((-1)\/(-3))\/(t\/(-24)). Suppose -2*l + m = -2. Solve -2*r - l - 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let j(d) = -3*d + d**2 + 4*d + i*d - 6. Does 18 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**3 + s - 3*s + 4*s.\nAnswer: -43*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:42 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*v + 1669 - 1669.\nAnswer: -455*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/392064 and 77\/408.\nAnswer: 6665088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2871432, 5742835, 8614236, 11485635, 14357032, 17228427?\nAnswer: 20099820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -65*j**3 + 3*j**2 - 20. Let w(g) = -g**3 + g**2 - g - 2. Let s(c) = 2*h(c) - 6*w(c). Find the second derivative of s(y) wrt y.\nAnswer: -744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:31 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 784 = -13*x + 21*x. Is x != 1072\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Let w = 0 + n. Which is the nearest to 0? (a) -5 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q = 1435 + 221. What is the third derivative of q*i**5 + 75*i**2 - 60*i**5 + 1 - 128*i**5 - 86*i**5 wrt i?\nAnswer: -13680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8159662 weeks to microseconds.\nAnswer: 493496357760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7667 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8391100273?\nAnswer: 283, 29650531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**4 + 13908*p**3 + 13936*p**2 - 83472*p = 0.\nAnswer: -3, 0, 2, 3478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8914205.\nAnswer: 5, 17, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 11*y**2 + 33*y - 11. Give f(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 238091 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 2, i: 5, g: 1, e: 1}. Give prob of picking 1 f, 1 g, and 1 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - a694681?\nAnswer: -a694682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962953134?\nAnswer: 2, 3, 11, 13, 17, 107, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axx. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-1)\/sqrt(5) - (-1*sqrt(68))**2) + 5.\nAnswer: -63 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let v(a) = a**2 - 24*a - 4. Let c = -201 + 225. Let s be v(c). Let u(j) = -3. What is s*t(k) + 3*u(k)?\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -3. List the prime factors of (140 - f) + -1*2.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 279, 0.2, -41, 2\/5, 3, -0.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -14.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6539 is divided by 2177.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-48)\/9)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(9\/8))\/i)\/i*i)\/(i*i**(-3\/5)*i))**(-11) assuming i is positive.\nAnswer: i**(1111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the next term in 393, 376, 343, 288, 205, 88?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.49 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12047365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2092, 2093, 2094, 2095?\n\"Answer: n + 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -562*k. Let b(a) = 10*a. What is l(b(o))?\nAnswer: -5620*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - (108\/(-5))\/((-22)\/1265). Is h bigger than -1242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -11\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10\/85)\/(1\/17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)*3)\/(sqrt(40)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -468*n - 8. Let h(q) = -4*q + 3 - 12 + 104*q - 569*q. Let u(t) = -6*g(t) + 5*h(t). Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, e: 6, j: 5, v: 2, s: 1}. Give prob of picking 3 e and 1 s.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -409 - -822. Let c = -259 + i. Calculate the remainder when c is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (114\/(-5))\/(30\/(-100)). Let x = -38 + u. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-1771))\/(-5)*-154*(-42)\/1176?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/360 - p**5\/24 + p**4\/6 - 5*p**3\/6 - 6*p**2. Let d(l) be the first derivative of q(l). Factor d(f).\nAnswer: (f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -2.8. Let q = o - 2.399939. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4314 (base 5) to base 10\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgs when three letters picked without replacement from {b: 3, s: 4, k: 2, q: 3, g: 6, e: 1}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2275)\/(-140)*(-96)\/(-120)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 + -171. Let h(c) = -c**3 + 8*c**2 - 6. Determine h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 24 = -3*m - n, -75 = -5*m + 5*n. Suppose 2*u + 2*u - m = 0. Let z(s) = -s**2 + 3*s + 2. Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14012422112 - 4?\nAnswer: 14012422104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -71. Suppose -95 = -5*o - 0*o - 5*u, 2*u = 5*o - 88. Let y = l - o. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000607315559 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-17) - (-36)\/17. Suppose -y - i + 1128331 = 0, 0 = u*y - 7*y - 4*i + 5641658. Let d = -402334 + y. What is d rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15291, -15351, -15397, -15411, -15375, -15271, -15081, -14787?\nAnswer: -14371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3.7 (b) -1\/8 (c) -0.046 (d) 2\/9 (e) -0.3 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167902870 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110916122.\nAnswer: 2, 197, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8975 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 9*a + 7*a - 414 = -24*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82096664?\nAnswer: 2, 13, 789391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46441 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387560 is divided by 66068?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -0.5 (b) -0.1 (c) -2\/19 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475697256 to the nearest integer?\nAnswer: 21810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25168.9*-2\nAnswer: 50337.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300*8.2.\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 269475598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/200145 and 95\/43668?\nAnswer: 2401740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 247953920 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1374 + 81*z + 2*z**2 - 53*z - 136*z wrt z?\nAnswer: 4*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2924 and 340?\nAnswer: 14620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11 = 6. Suppose 3*x = b*x - 58. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/6 - 30*x. Let f(q) = -17*q. Let g(s) = -170*s. Let w(r) = 51*f(r) - 5*g(r). What is w(i(v))?\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 - (-31)\/10. Let v be (-117)\/(-18) + -6 - (-5)\/2. Suppose 7*x - v*x - 22 = w, -15 = -5*x - 5*w. Which is the closest to -2? (a) i (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {g: 2, n: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756357462 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnnngdbcbbnnnbbcnhb. Give prob of picking 1 n, 2 b, and 1 d.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 148\/6 - 6\/9. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247687.35 rounded to the nearest one thousand?\nAnswer: 248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from iiziizz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177498719?\nAnswer: 479, 370561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 69232\/19, -4 in descending order.\nAnswer: 69232\/19, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j**(-2\/19)\/j*j\/(j\/j**(-8\/3))*(j*j\/j**(-6)*j)\/j assuming j is positive.\nAnswer: j**(241\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -6*h - 24, 7*l + 0*l - 2 = 5*l - 3*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 139*x - 14764. Calculate p(107).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/9 + 19*d**3\/3 + 637*d**2\/9 - 1891*d\/3 - 13454\/9 = 0 for d.\nAnswer: -31, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - a + 1. Let c be h(-8). Solve -1 = 5*g + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**2 - 11. Let n(y) = 2*y**2. Calculate h(n(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 133.7309?\nAnswer: 133.7309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 296*w**5 + 762*w**4 - 762*w**4 + (-1 + 2*w**5 + 1)*(-6 + 4 + 3) + 3*w**5 + 0*w**5 - w**5.\nAnswer: 300*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2307.7 and 6.76.\nAnswer: -15600.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1. Let g(v) be the third derivative of v**5\/60 + 11*v**4\/24 + 5*v**3\/6 - 11*v**2. Calculate 11*d(k) + 2*g(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -b768b?\nAnswer: b7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/6, 12.\nAnswer: -7, -1\/6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 110 = -0*l + l, 2*b = 5*l + 44. Let k be -2*(-174)\/116*88\/6. What is the greatest common factor of k and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011011000111110111 (base 2) to base 12\nAnswer: 267847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:40 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128314*-6.\nAnswer: -0.769884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*q + 5 = -4, 2 = q. Suppose -5*n = 3*x - 2*x - 44, u*x - 56 = 4*n. Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(80)*1 + sqrt(80) + sqrt(80) + -2*(sqrt(80) + 1) + 2)*-4)**2.\nAnswer: -512*sqrt(5) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 3*q**5\/4 - q**3\/3 - q**2\/2 - 45*q. Determine w(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00833 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24042 (b) 1 (c) -809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3840 + -3834. What is the least common multiple of p and (-21)\/(-3)*(1 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-48))\/(1\/4) - (-71825)\/39. Are n and 3679\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (-79 - -82)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.81 - 144.71. Let k = -129 - c. Put k, -11, 4, 1 in decreasing order.\nAnswer: 4, 1, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-30))\/(3\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 17*c**2 + 77*c - 17. Let n(y) = y**3 - 6*y**2 + 26*y - 6. Let r(x) = 6*i(x) - 17*n(x). Determine d so that r(d) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.361 times -3\nAnswer: -1.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*a + c, -8 = 4*a - 5*c + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**3 + 0 - 1\/70*y**5 + 0*y**2 + 1\/42*y**4 + 13*y. Determine m, given that n(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from schukcjk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1319120405 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640708225.\nAnswer: 5, 73, 569, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202062921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50333181 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6600 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 40*i**3 + 2 + 1 - 23*i**3 + 178*i**2.\nAnswer: 17*i**3 + 178*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 81*q**2 - 420*q + 87. Determine z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726026 is divided by 22688?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 472 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -522144.\nAnswer: 104428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 - 3*y**2 + 7*y - 2*y**2 - 3*y + y**2.\nAnswer: -4*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let q = -58 + 233\/4. Which is the closest to y? (a) q (b) -1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**5 + 3*v**4 - 3*v**4 + 3*v**4)*(-48 + 10 + 2).\nAnswer: -36*v**5 - 108*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17948526?\nAnswer: 2, 3, 2991421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*i + 284*i - 188*d + 189*d - 68 = 0, -176 = 4*i - 2*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 50 - 48 + 98.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*l**4 - 9\/4 + 321\/2*l - 11233\/4*l**2 - 1926*l**3 = 0. Calculate l.\nAnswer: -3, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {i: 3, w: 1, t: 1, j: 11, k: 1, f: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - r)*(r**3 - r**3 + r**3) + (4*r**3 + 2*r**3 - 4*r**3)*(4 - 3 - 4)*(2*r + 3*r - r) in the form g*r**2 + a + x*r**3 + y*r**4 + h*r and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 77*m + 955. What is the remainder when (117\/12)\/(4\/112) is divided by g(15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - 0.05. Let p = 251.3 + -251. Which is the closest to 0.1? (a) -3 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12+8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 422939, -3\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20529163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364.5636, 3\/7, 1.\nAnswer: 3\/7, 1, 364.5636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from {n: 6, v: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*i + 16, -4*i + 4*t + 2 = -30. Let c = 5 - 10. Let g(s) = -4*s - 8. Let f be g(c). Solve -4 = i*k - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 - 330.458. Let f = z + -0.042. What is the second smallest value in f, -0.11, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (-1 - -1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-6)\/3. Suppose -47 = -3*i + l*z + 349, 2*i + 3*z - 279 = 0. Calculate the smallest common multiple of (i\/10)\/(3\/4) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366535\/2076 or -176?\nAnswer: -366535\/2076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6873*u**4 - 16921*u**2.\nAnswer: -164952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208b (base 12) to base 15.\nAnswer: 10c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1370 or 1369?\nAnswer: 1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 4540.\nAnswer: -7\/4540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 - 3*n + 7. What is t(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 4624476?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084a94 (base 11) in base 14?\nAnswer: -374a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 bigger than 2411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 2. Suppose -3*g + 4*g - o = 4, -o = g. Let y be l(g). What is y rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-2 + 0 + 3)*(-10*t**4 - 1681*t**4 + 112*t**4).\nAnswer: -1579*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37546 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11410, 4, -26 in descending order.\nAnswer: 11410, 4, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y - 4. Let w be l(-5). Let b be 4\/(-16) - 29\/w. Is 6 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 4, j: 6}. What is prob of sequence jnb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1251090 and 7\/1251090.\nAnswer: 1251090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-10))\/(4\/10). Let k(l) = -l**2 + 10*l + 44. Let y be k(13). Which is the third smallest value? (a) y (b) q (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 1832 = 2*w. List the prime factors of (36\/84 - w\/(-14))*-4.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -8 (c) 2\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -10, -1, 2 in decreasing order.\nAnswer: 2, 1, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 - 16*i. Let f(a) = a**3 + 3*a - 6. Let d(p) = -1. Let t(c) = -6*d(c) + f(c). Calculate -11*t(n) - 2*z(n).\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1\/6 (c) 2\/437 (d) -3 (e) 22\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 11*x**2 + 3*x + 1. Let v(s) = -s**3 - s - 1. Let j(i) = p(i) + 3*v(i). Let h be j(-11). Put -3, h, -5 in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2\/5, 27753.\nAnswer: -3\/7, -2\/5, 27753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29*t**2 - 3*t - 33. Give o(-3).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -2, -1 in descending order.\nAnswer: 3, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejevjejejjeejmjjejm. Give prob of picking 2 e.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:57 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**2 + 3 + 1\/3*z**3 + 0*z + 1\/5*z**5 + 0*z**4. Find the third derivative of i(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - r - 4994983 - 44485021, -5*r = 20. What is t rounded to the nearest 100000?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4490.\nAnswer: -3\/4490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 36*g - 28. Let r be ((-48)\/(-32) - 1)*(-35 - -1). Give v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -1\/2 (b) -2 (c) -1125 (d) -3 (e) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = a + 38055, -190284 = -5*w + 2*a. Suppose 35*z = 41*z - w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -45, 3, 2, -4, 1 in ascending order.\nAnswer: -95, -45, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1626 and 15.\nAnswer: -24390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.3119968 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i. Let a be b(2). Let k = -12 + a. What is the tens digit of (-81)\/(-6) - k\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 74 - (-5 + 2 - 18) - -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2720799)\/1020*(-2 + 16\/6). Let b = -1785 - j. What is the common denominator of 79\/44 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2617?\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 - 6*v + 2. Let q(i) = -5*i**2 - 7*i + 1. Let z = 38 - 41. Let g(x) = z*q(x) + 4*j(x). Give g(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -713 + 714. Let y(f) be the third derivative of -f**4\/8 + f**2. Let h(w) = 1. Let p(s) = s + 5. Let x(v) = 5*h(v) - p(v). Determine t*y(c) - 6*x(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-5)\/25). What is the smallest common multiple of 6 and (-168)\/18*(-3)\/h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*t - 2. Suppose -5*y + 450 = -b, -5*y - t*b + 118 = -307. Calculate the remainder when y is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/3 - 75538*g\/3 - 1426497361\/3 = 0.\nAnswer: -37769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 34 - 11. Let d be ((-264)\/(-15))\/(3\/w). Suppose 3*j - j = d. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 470*w**2 + 5*w + 5. Let t be u(-4). Suppose -145*j + 150*j = t. Is j a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 11*l + 5 to b*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57477475 to the nearest integer?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50 + 7)*(9\/3 + 8\/(-2)). What is the highest common factor of f and 45365?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7815 and 33.\nAnswer: 85965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-330) + 45\/((-10800)\/32) + 60\/198?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*s + 21. Sort 0.3, s, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376896881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4)*24\/20. Suppose -75 = w*y - 519. Let b = y - 73. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 78*z**2 + 187*z + 294. Determine a(76).\nAnswer: 2954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 1. Let p be 1 + -7 - 3*(-8 + 7). Let b(o) be the second derivative of -5*o**3\/6 + o**2 - o. What is p*b(a) - 4*k(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/11 - 253002*y\/11 + 16002503001\/11.\nAnswer: (y - 126501)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y + 366. Let v be j(11). Let h = v - 526. Solve -12 = h*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4 + 466*j**3 + 8876*j**2 - 19624*j = 0.\nAnswer: -446, -22, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/240)\/((-2)\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -0.092?\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23280 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(1216) + (sqrt(19) - sqrt(228)\/(sqrt(24)\/sqrt(2)))**2).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 3. Let t(v) be the third derivative of v**5\/15 - v**4\/24 - v**3\/6 - v**2. Let u be t(-1). Give z(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 15*j + 26. Determine u(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365994261*u**5 - 934384791*u wrt u.\nAnswer: 7319885220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1520 and 143\/240.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17373.8 and 0.27?\nAnswer: 17374.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.04 + -0.04. What is the smallest value in -2\/13, -2, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**3 + v. Let u be (-6)\/27 + 7\/(-9). Let n be g(u). Let r(p) = p**3 + 8*p**2 + p + 10. What is the units digit of r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.524611581 - -109?\nAnswer: 99.475388419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 7 = -l + 5, 0 = -2*l + 3*i - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + t + 2 + 0)*(-343 + 314 - 279) to the form y + n*t and give y.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0.34. Suppose 3*q + 4*o = 7, -31 = -13*q + 18*q - 4*o. Which is the closest to g? (a) 1\/9 (b) q (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 105 = 2*a, 2*s + 0*a = -5*a + 81. Let l = 3 + 2. Solve k + 4 - s = -l*r, -2*k - 7 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 76 = 0. Solve -i = 4*h + a, 2*h - 6*h = 3*i + 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*l - 3*v, -4*v + v = 5*l + 19. Put -1, 2, 5, l in descending order.\nAnswer: 5, 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-20)\/(-8))\/(-1)*0. Solve 2*j = 5*i - 6, b*j - j - 4 = -3*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002008 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18435123427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -667*y**3 + 2495.\nAnswer: -2001*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -3*o**5\/5 + 61*o**3\/3 - 58*o**2 - o + 249. Find the second derivative of n(c) wrt c.\nAnswer: -36*c**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/9 + 1948430*y\/9 + 1948448 = 0.\nAnswer: -9, 974224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-92)\/(-28))\/(-1) + 3. Let x be (-46)\/5 + 14\/70. Let i be (-3)\/5*(-12)\/x. What is the second biggest value in i, r, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103642\/43 or -2409?\nAnswer: -2409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1 (c) 1\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1878360847 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9536.864kg in milligrams?\nAnswer: 9536864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 17778 + n + 17778 - n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -53*z + 3. Let x(f) be the second derivative of f**4\/6 - 506*f. What is s(x(y))?\nAnswer: -106*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21954, -43894, -65834, -87774, -109714?\n\"Answer: -21940*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 191?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {t: 1, u: 1, p: 6, h: 8, g: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:29 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -i. Which is the nearest to 0.1? (a) 2\/7 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4842, -4835, -4828?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285779838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, s: 1, o: 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: Let g = 2 - -3. Let a = -16 + 41. Suppose 0 = 5*n - a, -n = 3*i - 4*i - 4. Solve -g*h + 5 = 5*l, 2*l + 2 = -h + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-5*v + 5*v - v)*(-285 - 138*v + 204*v - 65*v).\nAnswer: -2*v**2 + 570*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.2. Let s = x + 0. Let a be (2\/4)\/(2\/6). Put a, 5, s in increasing order.\nAnswer: s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*t - 58, t = 3*l - 1 + 16. Suppose 3*b = 3*r + 39, 3*b - 4*r - t - 30 = 0. What is the lowest common multiple of b and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -30, 6, -5, 25, -3, 2 in decreasing order.\nAnswer: 25, 6, 2, -1, -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-6) + (-3)\/(-45)*5. Suppose -r*f + 14 = 4. Suppose 27 + 38 = 13*d. Solve f*h + d = 5*s, h = -3*s + 3*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 31 (c) 2\/65 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -444 - -423. Let d = 140 - a. Calculate the highest common divisor of 46 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3 + 12*d - 8*d**2 - 4*d**2 - 32*d**3 - 243*d**3 - 18*d**3. Let a be r(7). Round a to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**2 - 112*w - 15. Let d be t(-11). Solve -5*u - 2*u = -d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*q - 36, 4*g - 2*q - q + 8 = 0. Let r be (-696 - g)*4\/(-1). Suppose 0*a - 4*f = 4*a - r, -5*f = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 2\/9, 5, 10, -21\/8, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 176. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*c - 20, 3*c + 8 = -i + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 44. Calculate the remainder when 63 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1077 - -1076.8. What is the biggest value in -0.4, y, -22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nes when three letters picked without replacement from {i: 3, b: 2, e: 1, s: 9, o: 3, n: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdz when three letters picked without replacement from {d: 3, z: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5 - 1 + 161*c - 2*c**2 - 159*c = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 12:23 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + 0 + -2. Let s(v) = 1. Let i(c) = 6*c - 7. Let x(o) = i(o) + 6*s(o). Calculate x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/5 + 16*q + 82\/5 = 0.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 8*d**2 - 3*d - 4. Let o = 15 + -23. Let u be x(o). Solve 0 = -5*s - u, 4*h + 3*s = 7 - 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508418651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u + u**3 - 3*u**3 - 4*u**2 - 834*u + 30*u**3 + 834*u + 2*u + 2*u**3 - 2*u + (-2*u**3 + 0 + 0)*(0 - 5 + 3) + u**2 - u**2 + 3*u**3.\nAnswer: 37*u**3 - 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*a + 4 = 0, 2*s - 4*a + 3*a = -4. Calculate the remainder when (5\/20)\/(s\/(-56)) is divided by 2 + -1 + (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -69.5. Let v = 12.5 - a. Put v, 3, 2\/7, -1 in decreasing order.\nAnswer: v, 3, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 44 = -0*p. Suppose -3*j - p - 2 = -5*l, -3*j - 2*l = -22. Suppose 3*s - 33 = o - 0, j*s - 4*o = 36. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-70)*(-28)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 32*y**3 + 968*y**2\/3 - 553964*y\/3 + 92300\/3 = 0.\nAnswer: -325\/4, 1\/6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -1.6\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1\/1 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1295 = -3*j, -637 = -s + 6*j - 4*j. List the prime factors of s.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 9*j - 6. Let z be i(-7). Suppose -z*y = -3*y - 175. Is 14\/y - (-2153)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 12*w**2 + 13*w + 8. Suppose 24*u - 79 - 17 = 0. Suppose 0 = -6*i + 4*i + 4*x + 18, -3*x - 46 = -u*i. Give n(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4148 and 319396.\nAnswer: 319396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(18 - 48 + 12)*(4 + 4 + 4)*(4 - 4 + 4*h**2).\nAnswer: 864*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from jjbbsbabbbjb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118678539?\nAnswer: 3, 7, 807337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o**3 - 2*o)*(2826 + 1258 - 328 + 152 - 637) as w*o + i + v*o**3 + x*o**2 and give v.\nAnswer: -6542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 10. Let l be y(-5). Suppose l*w + 423 = 2*h, -h + 550 - 211 = -4*w. Let a = -55 - w. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*h**2*j*n**3 + 2*h**2*j*n**2 + h*n**3 - 9*h - j + 2*n**3 wrt h?\nAnswer: 24*j*n**3 + 4*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71263871.\nAnswer: 7, 10180553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2*r**4 + 33*f**2*r + f*r - 43*r**5 wrt r?\nAnswer: 48*f**2*r**2 - 860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1452))\/(-6*sqrt(54)).\nAnswer: -11*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51720 and 5280.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Solve v - 4 - 1 = f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 - 3 = c, 0 = -5*o - 3*c + 8. Let d(b) = b**2 - b - 5. Determine d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 3:22 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2 - ((-6)\/2 - 0). Factor -10\/7*s**4 - 4\/7*s**3 + 0*s**2 + 0*s + 2*s**m + 0.\nAnswer: 2*s**3*(s - 1)*(7*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 94*l**2 - 1. Let o(k) = 2*k**2. Determine o(h(d)).\nAnswer: 17672*d**4 - 376*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-4)\/(-6) + 184901\/(-18570). Let h = y - 6\/619. Calculate the common denominator of h and -71\/118.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80246 + -80251.2327. What is h rounded to two dps?\nAnswer: -5.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -137\nAnswer: 4\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1526 and 3166.\nAnswer: 2415658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(-3*r + 0 + 0)*(2*r - 2*r + r)*(-2 + 2 - 2)*(0 + 2 - 1).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) 0.4 (b) -764 (c) -0.1 (d) -17\/5 (e) -5 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 17*h = -5*l - 1, -13 = 5*h - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56444 to 3 decimal places.\nAnswer: 0.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11058254, -11058262, -11058284, -11058326, -11058394?\nAnswer: -11058494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -4. Let j = 17.5 - z. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*j - 5*v, -17*v = 11*j - 12*j - 75. Put 4, -3, 0, j, -11 in decreasing order.\nAnswer: j, 4, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9613758*-2.\nAnswer: -19227516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 l, and 1 d when four letters picked without replacement from {d: 3, k: 4, z: 4, c: 3, l: 2, p: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19176, -38348, -57536, -76746, -95984, -115256?\nAnswer: -134568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -57*x**8\/7 - 211*x**4\/12 - 102*x. Find the third derivative of a(z) wrt z.\nAnswer: -54720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 6 = q, 0 = -4*q - 12. Factor 4\/3*d**2 - 2\/9*d**k - 8\/3*d + 16\/9.\nAnswer: -2*(d - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 189108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 127. Let a = 70 + j. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 + 20. Let a be i(3). Factor 20*q + 957 - q**2 + 6*q**a + 5*q - 1027.\nAnswer: 5*(q - 2)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-21)\/(-822)) - -4. Suppose 0*z - 2*z = n. Let u = -71 - z. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -2, -1\/9, 9\/7, 0.4 in decreasing order.\nAnswer: 9\/7, 0.4, -1\/9, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*c - 1. Let q(d) be the first derivative of -13*d**2\/2 + d + 3. Is q(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3 - 4\/(-12). Suppose s = 4*p - 2 - 2, g*s = 4*p + 4. What is the derivative of -2 + k + s + k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 61. Let c(u) = 2*u**2 - 26*u + 5. Let r be c(0). Put -4, r, 1, d in descending order.\nAnswer: r, 1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v + 6*v**2 - 671*v**3 + 335*v**3 - 6 + 333*v**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60683 times 0.2?\nAnswer: -12136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18355 = -15*z + 10*z, -z = 4*j - 3671. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7174\/15 - -478. Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14149725851 and 0.4465.\nAnswer: -14149725850.5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14219*u**5 - 105*u + 38.\nAnswer: 284380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 32*d + 1. Let n be x(0). Is 1\/893 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/352067?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2525, 2532, 2539, 2546?\nAnswer: 2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7511*i + 60012. Calculate h(8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*i + 153 - 44, -4*a + 2*i = -82. Suppose -a*p + 462 + 1218 = 0. Is 34 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 155, 436, 933, 1706, 2815, 4320, 6281?\n\"Answer: 10*d**3 + 18*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1694933 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let d be 2\/50*21345\/6. Let i = d - 142. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + y - 2*y - 140, 4 = y. Let j = n + 492. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15959 is divided by 5231?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*m + 36 = 0. Suppose -o = -b + 6, -3*o - 14 = -5*b - m*o. Let p be 10*((-22)\/(-5) - b). Solve -6*v + 10 = -p*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5026 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1064.84*-2\nAnswer: -2129.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from ztztzttrxzzxx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2124 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 67, 101, 137, 175?\n\"Answer: p**2 + 29*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let x(s) = 3*s - 1. What is -x(c) + y(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11614 and 2?\nAnswer: 11612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 342, 734, 1470, 2664?\nAnswer: 4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by -203?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**5 - p**3 - 3*p**2 - p - 3. Let b(o) = 10*o**5 - 6*o**3 - 14*o**2 - 4*o - 14. Let v(j) = 6*b(j) - 28*f(j). Determine d, given that v(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 3*m**2 - 5*m - 3. Let w be i(4). Let u(z) = 8 + 7*z**2 - z**3 - z + 2*z**3 + 2*z. Let q be u(w). Let k(a) = -a**2 + 2*a - 1. Calculate k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 133, 279, 523, 865, 1305, 1843?\n\"Answer: 49*l**2 - l + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 963623.5ml in litres?\nAnswer: 963.6235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1169236 + 1313841.6. Let o = r - 144657.59852. Let y = 52 + o. What is y rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1158704 + 71?\nAnswer: -1158623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 108)\/(-8) + 0*1\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15762 - 15757. Which is the biggest value? (a) 2\/215 (b) -1 (c) 4\/5 (d) w (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-11))\/o)\/((o**(1\/20)*o)\/o))\/((o\/o**(-18))\/((((o\/o**(-4))\/o)\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-541\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6421 is divided by 2026?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*q + 213*q + 80 + 6*q**5 - 78*q**4 - 10*q**4 - 65*q - 72*q wrt q?\nAnswer: 120*q**3 - 1056*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 592.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - m - 4*m + (-2 + 1 - 1)*(m - 5*m + 3*m) + 3*m - 7*m + 5*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = 5, 3*l = 3*r. Let j be (-8)\/(-78) + ((-10)\/15)\/2. Which is bigger: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29552 divided by 8\nAnswer: 3694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87401 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18159014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/8 + 3513*f**3\/4 - 4099647*f**2\/8 - 4120749*f\/2 - 4127787\/2.\nAnswer: -3*(f - 1173)**2*(f + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 18*x**2 - 44*x - 34. What is the tens digit of r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 541767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 483\/(-46). List the prime factors of (-4)\/(-40)*3058 - 2\/a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26453 is divided by 1101.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**4 + 2*h**3 - 15*h**4 - 2*h**3 + 2*h - h**2 to the form f*h + g*h**2 + q + p*h**3 + o*h**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12645 - 2094 + 417 = 457*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let f(z) = -11*z - 10. Let j(m) = f(m) - 6*x(m). Let h(a) = 4*a + 3. Let v(q) = -4*h(q) - 3*j(q). Let k(u) = -2*u. Calculate v(k(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-20)*(-1 - -6). Let s = 11 + j. Suppose -19 - 16 = -s*g. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - w. Let y be s(1). Let t = 0 - 0. Suppose t*j - 18 = -y*j. What is the remainder when 34 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157, -227, -311, -415, -545, -707, -907?\n\"Answer: -l**3 - l**2 - 60*l - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/5040 - k**6\/2160 + 11*k**3\/6 + 6*k**2. Let s(x) be the first derivative of n(x). Let s(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21710 + -2?\nAnswer: -21712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1027\/159 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 0 - (-79 + 11 + 132)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-14) + (-76)\/(-40) + 2*(-1)\/(-20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 2156*n**2 - 4360*n + 17312.\nAnswer: 4*(n - 541)*(n - 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24228805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 3*j. Let n be m(3). Let l = -31 + 14. Let t = l - n. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w - 8*w - 4*w**2 + 9*w**2. Let j(q) = -2*q. Give j(d(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43300334 - -40?\nAnswer: -43300244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:31 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + k = -19, -b + 4*k = -2 + 1. Suppose -b*n + 640 = -130. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/453793 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -y - 4, -3*y - 2*b = -0 - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 - 6616*p - 299.\nAnswer: -6616*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/10)\/((-12)\/(-8)). Solve -3*v + z - 8 = 0, -18 = 25*v - 20*v + d*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2287 is divided by 251?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6057614113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p - 4. Let g be t(0). Let b(c) = 3 + 2*c - 5 + 2 - 3. Let j be b(3). Sort g, j, -5 in decreasing order.\nAnswer: j, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.4. Let f(r) = 3*r - 18. Let q be f(5). Which is the third biggest value? (a) 3 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let k be (-443)\/6 - 2 - -3. Let o = -73 - k. Which is the nearest to f? (a) 0.1 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqccqqqcqqqqqq. Give prob of sequence ccq.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177*-0.2.\nAnswer: 35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2424 = -2*c + 6*c, 5*z - 1847 = -3*c. Suppose -n + 4*n = c. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/25)*k**6*k**16*k*k\/(k*k*(k*(k*(k*k\/((k\/((k**(5\/8)*k)\/k))\/k))\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(4091\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004897913 rounded to six decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-32) - (-105)\/(-28). What is the thousands digit of (-3)\/2*(l + 13272\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2522 divide 343438394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**8\/9240 + p**7\/420 + 31*p**6\/1980 + 7*p**5\/220 + 49*p**3\/3 - 7. Let k(f) be the third derivative of u(f). Factor k(c).\nAnswer: 2*c*(c + 1)*(c + 3)*(c + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 5*j - 2*j + (1 - 4 + 0)*(4*j + j - 3*j) - 5*j - 3*j + 6*j - 4*j - 4 + 4 as k*j + r and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7008 + -7004. Solve -k - 20 = 3*s - 2, 0 = -4*k + r*s + 24 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 841681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -697 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjljjjjjjjjjjjjj?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1224)*2)\/(sqrt(162)*2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 76*y**2 - 2*y - 57. Let c be i(-38). Sort 0.1, c, 0, -4.\nAnswer: -4, 0, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:14 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 4, 5, 562, 1\/12, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -62, -0.3 in descending order.\nAnswer: 8, 5, -0.3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = r - 3*r. Solve -3*z - r*h = 28, -4*h = -4*z + 2*z + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73020.3 rounded to the nearest one thousand?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-20) + 4\/10. Suppose 3*h - 138 = -3*x, -4*h + 3*h = -2*x - 52. Suppose 2*a + 8 = i*k - 33, h = 4*k - a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 at least as big as 1214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -4*b**3\/3 - b**2\/2 - 10*b. Determine f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-90) - 25\/(-9). Suppose 2*i = a*z - 25 - 5, 0 = 5*z - 5*i - 55. What is the third derivative of -8 + 0*m**3 + z + 5*m**3 + 9*m**2 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 12*o - 4. Let i be s(6). Let m be -165*(i\/2 + -1). Suppose -6*w + 285 = -m. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607 = 6101*h - 5864*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 643566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8907*r - 1 + 1 - 8955*r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*w + 22 = 0, 0 = 3*r - 8*r + 4*w + 46. Suppose 4*p + r = 82. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753730220.\nAnswer: 2, 5, 3533, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4488 and 6104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7 = 2*v, 2297*l - 2296*l + 26 = -5*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 5, i: 2, f: 7, y: 3}. What is prob of picking 1 n, 1 y, and 1 i?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/48)\/((-5)\/(-30)*-3). Let o = -18 + 13. What is the third biggest value in d, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-22))\/(18\/(-24))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12501905 a multiple of 3445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 2, m: 3}. Give prob of picking 2 m and 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.5503 to 1 decimal place.\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 741132 and 84.\nAnswer: 741132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unbn when four letters picked without replacement from {f: 10, u: 1, n: 3, b: 2}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/4 + 16*a**3\/3 - 14*a**2 - 6*a + 37. Let c be v(14). Find the common denominator of 2*2\/c*8439\/(-928) and 47\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38063 is divided by 19024?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 2. Let c(a) be the second derivative of 0*a**2 + 0*a**3 + 0 - 1\/6*a**4 - 70*a. Determine o(c(n)).\nAnswer: -12*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3 = 4*i + 5, 3*i + 6 = -3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 + 201. Put -71, 2\/11, q, 4\/5 in increasing order.\nAnswer: -71, 2\/11, 4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 4*l + 26 + l to the form q*l + f and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 4*t + 3. Let g(a) = -2*a + 19. Suppose 0*l - 2*l - 56 = 2*u, -2*l = 5*u + 68. What is the remainder when g(l) is divided by j(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 244 = -1921 - 7810. Is 472 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6242*z - 20611. Determine c(-3).\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3961*u = 670*u - 164550 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + 0.1. Let n = -14.9 + 15. Which is the closest to 0? (a) q (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = 20. What is the smallest common multiple of t and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 3 (c) 0.5 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let u(p) = -3*p - 19. Let w be u(-8). Let n(v) = -w*v**2 + v - v. What is g(n(x))?\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(-5 + 1 + sqrt(192) + -4 + -5*(sqrt(192) - (sqrt(192) + -3 + sqrt(192)))*-1))**2.\nAnswer: -16128*sqrt(3) + 112356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 555517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 2}. What is prob of sequence kll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30990, -61981, -92970, -123957, -154942, -185925?\nAnswer: -216906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9279327 and -0.1.\nAnswer: -1.0279327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = 0, -h = -3*f + 2*h + 102. Let i = -15 + f. Let n = i + -9. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 - (-7)\/(-3) - 42\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6797 and 2471.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*f**2*x - 17578*a*f*x**3 + 12*a*x**3 - 23*f**2*x**3 + f**2 - 362*f*x - 6*f - 9*x**2 - 2*x wrt x.\nAnswer: -105468*a*f + 72*a - 138*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-918)\/(-12))*27\/3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -210764?\nAnswer: -210759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -61 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.748 + -217.748. Is -5\/7 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:28 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = -13*m + 65. Let n = -98 - m. Suppose 5*g = 42 + 3. What is the least common multiple of g and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -524\/9 + 58. Let f be ((-4)\/(-10))\/((-16)\/(-20)). Which is the nearest to f? (a) -2\/5 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 25. Let l be x(3). Let j(k) = 5*k**2 + 3 - 6*k**2 - 6*k**2 + k**3. Give j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 3*x**2)*(-2*x + 241 - 241)*(-3*x - 3*x + 5*x).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 43*b + 4*r - 2385 = 0, 0 = 3*b + 4*r - 1431. Is 113 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158997026 to the power of 1\/3, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 292, 224, 142, 40?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(320) + 0)*-1 + sqrt(320) + (sqrt(320)*-1*-2 + sqrt(320) + sqrt(320) - sqrt(320)) - 6*(1 + sqrt(320))*-5)*4)**2 + -3.\nAnswer: 253440*sqrt(5) + 5590073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36754*f**2 + 14399*f**2 + 20767*f**2.\nAnswer: 71920*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3009 = 2190. Let k = w + -19046\/11. Find the common denominator of k and (-446)\/24 + (-3)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-3)*(0 - 684\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = 2. What is the closest to 3 in -0.4, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r**2. Let w(h) = 6*h**2 + 24*h + 177. What is w(t(c))?\nAnswer: 1014*c**4 - 312*c**2 + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*z + 12*z - 3885 = 4*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (3*sqrt(405))**2).\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/60 - t**5\/60 - t**4\/24 - 2*t**2. Let q be y(-1). Let i(l) = 3*l**2 - l. What are the prime factors of i(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 949121*b**2 - 56302035680*b - 14075449600.\nAnswer: -(b + 118640)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169340922 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -869\/48 greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 2)*-1 - 2. What is the third derivative of -7*i**2 + 15*i**2 + 0*i - 7*i**n + 0*i wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + 174. Let p = -94 - h. Solve -5*y = 5*g - 15, 3*g - p*y - 9 = -3*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 3 + 3 - 12*p**2 - 18*p - 4*p**3 = 0. What is p?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*121278\/(-19024)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -289*i**3 - 5*i**2 - 22*i - 73. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-42))\/(3635\/3605 + -1) and -67\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(2\/18)\/((-14)\/(-1806))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = d + 7, -2*d + 5*z - 2*z = 23. Let k be (-16)\/d + -2 + 0. What is the biggest value in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -53. Let m(o) = -o**2 - 7*o. Determine m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjbjbbblb. Give prob of sequence jj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 17*y**2 + 17*y - 22. Let z be h(16). Let m(k) = -k - 3. What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1079640 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3604 = -4*b - 4656, b - 6629 = -4*i. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996409 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*c + 1664985 - 1667569 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-15)\/130*28\/28).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + -5 + (1*sqrt(720) - sqrt(720)) + (sqrt(720) - (-4 + sqrt(720) + -1)) + 6*(-2 + -2 + (sqrt(720) - (sqrt(720) - (5 + sqrt(720) + 1)))))**2.\nAnswer: 1584*sqrt(5) + 26041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-20) - (-7)\/28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -38. Let x = -40 + q. Let w(s) = -25*s - 20. Is 12 a factor of w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y**2 - 16*y + 1\/2*y**5 + 29*y**3 + 64 - 13\/2*y**4 = 0. What is y?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a**(14\/9))\/a))\/a)\/((a*a\/(a**17*a))\/a))**(-41) assuming a is positive.\nAnswer: a**(-5699\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122161 is divided by 981?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -54. Let l(q) = q**3 - 4*q**2 - q + 4. Let h be l(4). Suppose 6 = -h*t + a*t. Solve 2*s + t*s = -20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4\/4 + 73515*j**3\/4 - 220635*j**2\/4 - 661635*j\/4 + 992655\/2 = 0 for j.\nAnswer: -14706, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.292? (a) 0.05 (b) 1\/13 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*p = 11, 0 = -y + 3*p - 21 + 4. Let k be 74997 + y\/(5\/(-3)). What is k rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.5821mg to kilograms.\nAnswer: 0.0002715821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13822.\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 4*h**3 - 22 - 9 + 44*h - 22 + 8*h**2.\nAnswer: -4*(h - 4)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*k - 195*k - 6755*k.\nAnswer: -8124*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -39033670?\nAnswer: 3903366d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 460? (a) -3 (b) 0.1 (c) 47.109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9876 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176788 - -176785. Let h be (-5)\/(-2)*(-2)\/(-10). What is the closest to n in -1\/4, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(44))**2 - (2 + sqrt(275) - sqrt(275))*6.\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.01, 3, 15, -12, -0.3, -2?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 97*o**6\/6 + o**5 - 3716*o**3 + 11239. What is the third derivative of x(p) wrt p?\nAnswer: 5820*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17372624 is divided by 375.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114 - 3*w**4 + 259*w**2 + 64 + 50 + 72*w**3 wrt w.\nAnswer: -72*w + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 - b**3\/3 + 3*b**2\/2 - b + 32. Let d(f) = -f**2 + 7*f + 10. Let k be d(8). What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose n = 2*g - 0*g - 4. Let k(m) = -g*m + 3*m - 4*m. Let y(a) = -a**2. Calculate y(k(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amn when three letters picked without replacement from {n: 2, a: 4, m: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2*((-4399)\/(-159))\/(-83)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u + 19*u - 5*u - 13*u. Let i(f) be the first derivative of 2*f**2 + 2. Let z be (-8 + (-52)\/(-13))\/(4\/6). Determine z*s(c) + i(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 2*h**2 + 3*h**2 - 6*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 11:44 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 37 + 27 = 0. Let b be 9\/m*8\/18. What is the derivative of -17*j**b + 7 - 10*j**2 + 14 wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -70*h + 24. Give b(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263830 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k + 180 = 0. Let f be (-188)\/k + (-6)\/27. Suppose -f*x + 120 = 4*p, 0*x + 30 = p - 3*x. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/101, -0.1, 5, 5\/4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*g = -133*g. Is (g - (-986)\/4)*4\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -65. Let j = 102 - i. Let g be 20\/(-3)*j\/(-40). Solve -g*l - 26 = -1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -84969.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -659*o**2 - 2*o**4 - 109*o**3 - 2 + 657*o**2 + o - 3*o in the form d*o**4 + s*o**2 + z*o + h + g*o**3 and give g.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3262560?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let b(m) = -127219043*m**2. Calculate w(b(h)).\nAnswer: 254438086*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -12, 574, 1394, 2448, 3736?\nAnswer: 5258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 1. Let b be y(-3). Suppose 4*c - 8 = -3*o - o, -5*c - 3*o = -b. Let u = 28 + -15. What is the remainder when u is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*k - 25 = -k, 4*z = -4*k + 20. Suppose 8 = 2*y - 5*t - 15, -2*y + 4*t + 28 = 0. Solve b = a - z*a - 6, -y = -3*a + 5*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (-2058)\/156)*(72\/(-15))\/(-3)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -12. Let g = b + 5. What is the second derivative of 2*m + 7*m**5 + g*m + 2*m wrt m?\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 61658*j + 801568. Calculate t(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 - 188.5. What is the third biggest value in -0.4, -78, -0.3, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (20 - 7) + -2 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22120 + 100211?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/6*20\/(-45). Suppose -r + 5 = -l. Calculate the smallest common multiple of 10 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - 2*i**2 + 10*i + 11. Let f be p(-1). Determine b so that b + 0 + 3\/2*b**2 + 1\/2*b**f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away -20272279450?\nAnswer: 20272279417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 2, 4, 2\/19, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 46 = -5*z - 0*z, 3*c - 31 = -2*z. Calculate the remainder when 20 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*10389\/(-216) + (-2)\/12. Let y = 144 - p. What is the nearest to y in -3, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 2 u when four letters picked without replacement from ukpugvpkkkkk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/16137 and -155\/10758?\nAnswer: 32274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 9*z - 26. Let q be (4\/(-6))\/(z\/(-1536)*4). Suppose -75*u = -67*u - q. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336.44 - 341.44. Let z be 9\/((-3 - -3) + -1). Which is the nearest to 1? (a) s (b) -1\/4 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152555561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1822b - 33a?\nAnswer: -18567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 1\/9, -0.111, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let t(y) = 1219*y**2 + 6*y. Give t(i(h)).\nAnswer: 1219*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**3 + 868 - 19*f**4 - 868 + (0*f + 2*f - 4*f)*(0*f + 0*f + f**3) + 0*f**4 + 2*f**4 - 6*f**4 - 3*f**4 + 0*f**4 + 2*f**4.\nAnswer: -26*f**4 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/682)\/(12\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132203 is divided by 792.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1632)\/1088*2\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*l + 24, 0*h + 5*l + 29 = 4*h. Solve 2*p = -h + 7, v + 11 = 4*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.03 - 0.03. Let q = v + -32. Which is bigger: q or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -178268 at least as big as 521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*c - 1 = 0, 0*g - 4*g + 5 = -3*c. Suppose 0 = -g*v - 2, 2*v + 73 = f + 11. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-4))\/(-7) - -3. Factor 10\/9*b**x - 4\/9*b + 0.\nAnswer: 2*b*(5*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13603 = 2*x - 49165, 0 = x + 4. Let z = m - -142379\/20. Calculate the common denominator of -43\/2 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2136*k - 270*k + 225375 = -118683 for k.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.067 - 0.567. Let z = 3 - 8. Which is the third biggest value? (a) 0 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 - 21*s + 78. Give v(8).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984*u**2 - 48*u**3 + 984*u**2.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - ((sqrt(91)*1 + sqrt(91))*-1 + sqrt(91) - sqrt(91)))\/(sqrt(7) - sqrt(21)\/sqrt(12) - sqrt(7)))**2*2*4.\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2729*o + 102*o**2 - 2729*o.\nAnswer: 102*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 5*r + 8 = -15*q, -3*r = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/7 + 124*d**3\/7 - 2*d**2 - 880*d\/7 - 744\/7 = 0. Calculate d.\nAnswer: -62, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjbbbjbjb. Give prob of sequence jj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/4, 4, -10\/3, 0.07.\nAnswer: -10\/3, -1\/4, 0.07, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73\/3, 1\/7, -10\/3, 349?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -33. Let l be ((-12)\/7)\/((-2)\/14). Calculate the remainder when (55\/15)\/(2\/l) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.7 - -6.3. Let q = -0.3 - -4.3. Which is the third smallest value? (a) m (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*u**2 - 2*a**3*u + 52*a**3 + 2*a*u**2 - 109070*u**2 + 323*u wrt u.\nAnswer: 4*a**3 + 4*a - 218140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 3157.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9165*h**3 + 20*h**2. Let y(g) = 9163*g**3 + 15*g**2. What is -3*m(z) + 4*y(z)?\nAnswer: 9157*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10*r**2 + 26\/3*r**3 + 8\/3*r**4 + 14\/3*r + 2\/3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 - (-3 - -10 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtdpptqqdppqp. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*t - 7 - 60, 78 = 5*t - 2*w. Let k = 75 + t. Suppose 4*r - x - k = 0, 104 - 23 = 3*r - 5*x. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644*p + 2641*p - 2*g = 20, 39 = 5*p - 7*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1521*s**2 - 598827 + 598827 + (-3*s + 2*s + 0*s)*(-s - 4*s + 6*s).\nAnswer: 1520*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8453 and 197342.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.292 - -0.092. Let r = -0.03335 + 7.23335. Let k = d + r. Which is the closest to -1\/2? (a) 3\/5 (b) k (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 15 = 0, -46457 = -2*c + i - 46422 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3784 - -3789. Let n = -18 - -32. Solve -2*g = o*i - 3, 0*g - 3*g + 2*i + n = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 2*i - 2*i + 1 + i**2 + 5*i**4 as z*i + h*i**4 + l*i**3 + s + y*i**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 292.\nAnswer: 0, 0.4, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, -0.564, 1 in decreasing order.\nAnswer: 1, -0.564, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -11, 5.\nAnswer: -11, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**3 - 3. Let f(q) = 11*q**3 + 2. Let w(b) = 2*f(b) + 3*r(b). Differentiate w(t) wrt t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 12. Let w be c(-5). Let m(g) = -2*g + 1. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.67569 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 2225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 + -12?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23899 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:34 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/9, 0.5, -0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -17*l**4\/6 - l**3\/3 + 53*l**2\/2 - 40*l. Find the second derivative of o(s) wrt s.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 12\/18 - (-70)\/3?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.78606 millennia to decades.\nAnswer: 5678.606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/(v*v**(-2\/5))*(v**(-5\/4)\/v)\/(v**(-4)*v))**21)**47 assuming v is positive.\nAnswer: v**(-36519\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 986 = 128*u + 2016. Let w(m) = 5*m + 14. Give w(u).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**2 + 478*y + y**2 + 3*y**6 - 481*y - 3*y**4 + 0*y**6 wrt y.\nAnswer: 360*y**3 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/4 - (-1)\/(-4). Find the second derivative of -6*b**3 + 2*b**3 + 2*b**3 + b**3 + m*b wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3328 rounded to two decimal places?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*x + 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01544 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209466963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) + 0)*-1.\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 253 + 235 = 0. Suppose i - 6 = -3*o + k, 2*o = -2*i + 10. Suppose i*x - 70 = -5*x. Calculate the least common multiple of x and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 13*b = 12443. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**2 - 1\/8*s**4 + 0*s + 0 - 1\/3*s**3. Suppose -5*q = 3 + 7. Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 times -2.32483\nAnswer: 288.27892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266366260 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2185.903 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 336 = 256 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683 = -6*h - 27*h. Let i = -59 + h. Suppose 0 = 4*n - y + 23, -4*n = -2*y + 5 + 21. Put 3, i, n in ascending order.\nAnswer: i, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-48)\/(-264) - (0 + 278934\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 108654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196365?\nAnswer: 5, 17, 49369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1035\/138*(-40)\/(-75). Let l(s) be the second derivative of 0*s**3 - 5\/3*s**f + 0 + 22*s + 0*s**2 + s**5 - 1\/6*s**6. Determine z so that l(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27939462 is divided by 8850.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = -11. Which is the third smallest value? (a) f (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125769468 not equal to -125769464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 76.351 meters?\nAnswer: 76351000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17071, -33935, -50799, -67663?\nAnswer: -84527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*3\/18*-4. Let n(c) = 3*c - 3. Does 2 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 3435955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -1 + sqrt(304)) + -3 + sqrt(304) + -2 + sqrt(304) + 2)**2*-4.\nAnswer: -30544 + 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/7 + -3 + 176\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**4 - 11*b**4 - 316*b + 115146*b**2 - 116*b**3 - 104 - 115470*b**2 = 0. Calculate b.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = -2*d + 39, 3*d - h = 51. Solve d*t = 17*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8632719 and 6714337.\nAnswer: 60429033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 12*l**2 + 10*l + 16. Determine f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8253.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94115, -94108, -94089, -94052, -93991?\n\"Answer: z**3 - 94116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 3*v + 4*k - 10*k, 2*v - 176 = k. Solve -8*a + v = 46 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - 1. Let f = 11 + m. Put f, -0.3, 4 in increasing order.\nAnswer: -0.3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494 = -274*x - 2342 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/288, 0.1, -3, 104.2, -0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/27 and 4\/1113819?\nAnswer: 10024371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73854 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3565716 divided by 324156.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3216\/(-938)*(-1295)\/333.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdd when four letters picked without replacement from qkkqdqqdq?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*72\/(-16)*(-7)\/(-21). Let b(h) be the first derivative of -1\/3*h**3 + 9 - z*h**2 + 7*h. Give b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -837 + 842. Solve l = 3*t - 4*l + 11, -a = -5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 54 = -3*u + 3*j, 0 = j. Solve u*q - 16*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19157.\nAnswer: 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h - 61. Calculate c(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 30 + 40 = p, -17*o = 3*p + 64 + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6417711104.\nAnswer: 2, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 174. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -847272 * -0.5.\nAnswer: 423636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 13365 = 5007. Let r = 61 - w. List the prime factors of r.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -7)\/((-6)\/4). Let a be (-4 + 6)\/(i\/(-4)). Suppose 0 = a*x + 5*z - 220, -5*x - 3*z = -7*z - 316. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/41920 and 31\/151698000.\nAnswer: 606792000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 323 and 391783184.4.\nAnswer: 391783507.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 26434424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 445 = -t, -4*h + 1341 = -h - 5*t. Let u = 443 - h. Let p = -4 - -4. What is the third smallest value in u, p, -17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/f**(7\/5))\/(f**0)**(-47) assuming f is positive.\nAnswer: f**(-59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -2*c**3\/3 + 7*c**2\/2 - c. Let s be (9\/2)\/((-6)\/16). What are the prime factors of g(s)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*(b*b\/(b*b\/(b**28\/b)*b))\/b*b))\/b)*b**(-16)*(b*b\/b**9)**(1\/41))**(3\/5) assuming b is positive.\nAnswer: b**(291\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 71 = -i - 63 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/11704 and 65\/190624?\nAnswer: 39840416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-42343)\/14728)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -461*u + 84832. Determine n(184).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-467179 + 467179 - 251*l**3)*(2*l + 2 - 2) in the form y*l**3 + n*l + d*l**2 + h + x*l**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**2 + u**3 - u**3 - 2*u**3)*(u**2 + 0*u**2 - 3*u**2).\nAnswer: 4*u**5 + 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4*5\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 817 + 23*l - 271 + 57*l**2 - 272 - 273.\nAnswer: 57*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*h - 126, 2*h + 3*h - 5*i + 240 = 0. Let z be (h\/(-10) + -3)*2. What is the closest to -0.1 in 0.6, -5, z?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**4 + 6856*x**3 - 13724*x**2 + 6864*x = 0. What is x?\nAnswer: -1716, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -70. What is the smallest common multiple of 6 and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b - 7*b + 2*b + 2*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11443032122 + 3?\nAnswer: 11443032130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*s + 4*k, 12 = 3*s + k. Suppose s*m = 4*m. What are the prime factors of (-1)\/(m - (-3)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) + 1\/(-3). Solve -7 = 3*h - 4*y, -2*h - 9 + k = -y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 72. Let o = 49 - i. Let y(s) = -2855*s**2 - 19*s + 28. Let h be y(o). Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.13840126 - -33.848401. Let s = 46.71 - 47. Let o = d - s. Round o to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g*m**2*o + 134*g*m**2 - g*m*o + g*m + 4*g*o - 2*g + m**2*o + m**2 + 22*o wrt m?\nAnswer: -8*g*o + 268*g + 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let u(a) = a + 3 + 5*a - 4. Let v be u(l). Solve -12 + 3 = v*o + 3*d, -4*d = 3*o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481348 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -4) + -24 + 6 + -3 + -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**3 + (3*v - 5*v + v)*(v - v**2 - v) - 2 + 2 - 2*v**3 - 3*v**3 + 3*v**3 - 2*v**3 - v**3 + 2*v - 2*v + 4*v**3 - 5*v**3 + 12*v - 6*v.\nAnswer: -6*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 + 5*j + 80. Give v(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546213274 to the nearest integer?\nAnswer: 23371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 66. Let r(j) = -2*j. What is c(r(w))?\nAnswer: 8*w - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -10*x**2 + 1\/504*x**8 - 5\/36*x**4 + 4\/315*x**7 - 2\/9*x**3 - 1\/45*x**5 + 0*x + 1\/45*x**6 + 0. Factor m(q).\nAnswer: 2*(q - 1)*(q + 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -79. Suppose -27*w = -d*w + 27. Let u(r) = r - 1. Let n(m) = 9*m - 4. Give w*n(a) + 2*u(a).\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.286 - -18.386. Suppose -j - 4*j = -5. Suppose 3*k + j = 4. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0 + y**2 - 7*y + 2 + 1. Let a(q) = -q**2 - 1739*q - 37767. Let g be a(-22). Give i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3.97, -5 in decreasing order.\nAnswer: -1\/3, -3.97, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 + 258. Solve 0*f - 3*f + 12 = 3*t, 4*f - i = -2*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/5, 3\/4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769183 divided by 2231?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-9 + 45) - -4 - (-1 - 2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*o = s - 160, -s - 2*o + 80 = 0. What is the remainder when s is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let q(m) = -281*m + 137 - 271 + 134 - 90*m. What is t(q(h))?\nAnswer: 275282*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139398 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42804 - -43231.41. What is h rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*t**4 + 154*t**4 + 11*t**4)*(-2 + 2 - 2*t).\nAnswer: -192*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/(-1840))\/27*5.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -393\/5 - -79. Let m be ((-1661)\/(-3322))\/(1\/(-14)). Which is the closest to f? (a) -5 (b) -3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29513 is divided by 82?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3728, -7375, -11022, -14669?\nAnswer: -18316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92621.56l?\nAnswer: 92621560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 83, 0.3, -0.04, -0.5?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -42, 0.17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0 + 0*u + 31\/24*u**4 + 11\/6*u**3 + 4*u**2. What is the first derivative of s(h) wrt h?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -7*y**5 - 1 - 5*y**2 - 55\/3*y**3 + 0*y - 20*y**4. Let t(d) = 0. What is d?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 223801820*t**2 + 1 + 447603637*t**2 - 223801818*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fcb3 - d?\nAnswer: -4fcc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 12) to base 14.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000451136424 rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 2*m**2 - 4*m**2 + (-2*m + 0*m + m)*(-1 + m + 1) + 2*m**2 - 5*m**2 + m**2 + (-2*m + 3*m - 2*m)*(-8 + 8 + 4*m) to w + y*m + r*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-25) + (24 - 2574\/110).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25180402111*y**2 + 25180402103*y**2 - 50360804211*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.4. Let s(j) = j**2 - 28*j - 196. Let h be s(-6). Which is the third smallest value? (a) 2\/7 (b) h (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 - 3 = 0. Let d(j) = -j**3 - 5*j**2 - 4*j - 4. Let u be d(-4). Let r = -2 - u. What is the lowest common multiple of r and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + x - 2. Determine n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13321010213 (base 4) to base 3.\nAnswer: -10220002211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2729610*y**5 + 2*y**3 + 9125*y - 2391.\nAnswer: 54592200*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*v**2 - 377*v**2 + 814*v**2.\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 19 - 9)*(-5 + 0 + 3)*(3 - 3 + p) to j*p + r and give j.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52696 (base 12) in base 6?\nAnswer: -2152310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501313831?\nAnswer: 829, 4223539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 - -6) + 375\/1.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79095 + -24195. What is x rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070846 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451785?\nAnswer: 3, 5, 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(10\/3))\/a)\/a)**41 assuming a is positive.\nAnswer: a**(410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 54. Which is the closest to 0? (a) 5 (b) 0.43 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -2. Solve -5*f + y - 30 = 0, 16 = 5*y - k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 16 - 16 - 26*b**3 + 26*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16752469?\nAnswer: 16752469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33845118 a multiple of 3782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -440692, 5, -7\/5?\nAnswer: -440692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3504268032 - -7?\nAnswer: -3504268025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 10918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 14*k + 11. Is u(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(150)\/sqrt(720))\/(sqrt(54)*5 + sqrt(24)\/(3*sqrt(4)))*6.\nAnswer: 9*sqrt(5)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 234*f + 2. Let l(s) = -3*s. What is u(l(n))?\nAnswer: -702*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 2*i + 3*q, -3*q = 2*i - 5. Solve 5*d + 5 = x + 20, 12 = i*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6512 and 3779441072?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.6435 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -286, -428, -690, -1108, -1718, -2556?\nAnswer: -3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -37090\/29 and -1280 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c - 4*v - 6, -3*v = -2*c - 4. Is -19\/12 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -789764000 rounded to the nearest 1000000?\nAnswer: -790000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14437666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-47*x**2 - 33*x**2 + 23*x**2).\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/9 - 1436*g\/9 + 5792\/3 = 0. Calculate g.\nAnswer: -1448, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/21)\/h*h**(-2)\/h)\/(h**(4\/3)*h**(4\/7)\/h)*(h**(-5\/3)*h**(-6)*h)**39 assuming h is positive.\nAnswer: h**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160209705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -391.\nAnswer: -78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 4*w - 1, -5*w = -5*n + 5. Let j = w + -8. Let o = -2.1 - -2. Which is the second smallest value? (a) o (b) j (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*z**3 + 5\/2*z**2 - 35\/2 - 11\/4*z.\nAnswer: -(z - 7)*(z - 5)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 + 446\/(-18). Suppose -61*k - 351 + 473 = 0. Put 4, -1, w, k in increasing order.\nAnswer: w, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*q + 28 - 7 = 0, 0 = 5*q + 20. Solve 4*w + 25 = -w - u*b, w - b = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/27)*j\/(j*j**1\/j)*(j*j*j**(-3))\/j*j**(-2\/3) assuming j is positive.\nAnswer: j**(-74\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.270463 rounded to two dps?\nAnswer: 10.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 + -610. Let n = 275.000341 + u. Round n to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-1936)\/(-6) - 110\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.127*-374.\nAnswer: -1543.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose -2*s - 7 - n = 0, 2*i = -s - 15. Let l(g) = -g**3 - 4*g**2 + 5*g + 4. Let c be l(i). Calculate the highest common divisor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-168)\/378).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m - 5*k = 2, 2*k = 0. Let r be 10\/(-18) + (-1)\/(-3). Let q be ((-1)\/5)\/(8\/100). What is the biggest value in r, q, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 5.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 193.\nAnswer: -42\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 3. Suppose -4*l - 30 = l. Let m be r(l). Let u(t) = 2*t**3 - 4*t**2 - t. Let j be u(3). Calculate the highest common divisor of m and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.9 - -17. Let k = l + -0.1. Which is the closest to k? (a) -2 (b) -0.01 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.8335 + 28.8. Let f = -0.032697 - z. What is f rounded to 5 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4842 by 1.\nAnswer: -4842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -q, 0 = -2*q + 3*q + 3*v - 12. Suppose l - 2 = -q. Is l equal to 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/(-41))\/32*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 163, -124, 5 in ascending order.\nAnswer: -124, 2, 5, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10205 (base 7) to base 5.\nAnswer: 40004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 284, 646, 1152, 1802, 2596?\nAnswer: 3534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qacvppl. What is prob of sequence av?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 969707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h = 49*h - 201. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 542\/9 (c) 5\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 41. Let g(f) = 113. Let l(t) = 4*g(t) - 11*h(t). Let r(z) = -z. Give 2*l(v) + r(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 - o**4\/24 - 5*o**3\/6 + 3*o**2. Let v be j(-4). Suppose -v*d = -19*d + 20. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737901 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1780*p**4*x**2 + 47830*p**2*x**2 + 1200276681*p*x**2 wrt p.\nAnswer: -21360*p**2*x**2 + 95660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 24. Suppose -29 = 5*g + 41. Let b(p) = 2*p**2 + 30*p + 28. Let o be b(g). List the prime factors of d(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260921 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: Let o = 5 - 1. Let k(r) be the third derivative of -r**6\/120 + r**5\/15 + r**4\/12 - 5*r**3\/6 + 2*r**2 - 58. Let y be k(o). Solve -y*c - 5 = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92914403 to two decimal places.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 15, 0 = -5*t - v - 2*v. Solve 3*p = n - 0*p + 3, -t*p + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:48 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((104\/230)\/(-26))\/((-1)\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*w. Let i(t) = 2*t - t**w + 0*t**3 - 6*t + 4*t**2. Let f(m) = m**2 - m. Determine 4*f(b) - i(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -485*m**2. Let i(w) = 12*w. Determine f(i(j)).\nAnswer: -69840*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i**2 + i - 5. Give v(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:38 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9441354 is divided by 3720.\nAnswer: 3714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102.61 - -103. Let v = -3.39 + b. Put v, -2\/17, 1\/6, 1\/3 in descending order.\nAnswer: 1\/3, 1\/6, -2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let m(g) = 2*g - 4*g**3 - 1 + 3*g**3 + g**2 + g**2. Let p be m(2). Solve -p*x - 3*u = u - 19, -2*x + 6 = -v*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -5*t. Suppose -4*p = -4*a - 0*a + 272, -43 = -a - t*p. Suppose 5*m - a = 172. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 2, -4, -36, -10, -13 in descending order.\nAnswer: 9, 2, -3, -4, -10, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0 - -2) + 0. Let w be 44\/12 - z\/(-3). Suppose w*s - 10 - 2 = 0. Solve -s*u = u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 2, 146, 4, -78, -2 in descending order.\nAnswer: 146, 4, 2, -2, -78, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from ckcgqgqgqiq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -1419, -2145, -2871, -3597?\nAnswer: -4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*t + 7*t - 28, -4*k - 18 = -2*t. Suppose 0 = -2*l + 8, 3*r + 11 = 4*l - t. Find the second derivative of r*b + 3*b - b + 2*b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**7\/14 + 14*b**6\/25 + 21*b**5\/100 - 61*b**4\/10 - 64*b**3\/5 - 48*b**2\/5 + 910*b. Suppose k(c) = 0. Calculate c.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*g**3 + 4)*(5 + g - 5 + (-6*g + 7*g + 2*g)*(-1 + 1 - 2)) to the form u*g**4 + m*g + q*g**3 + z + o*g**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 5 + 3 + 2. Let d(y) = 4*y - 2. Suppose 0 = 23*n - 16 - 7. Calculate n*d(l) + 3*m(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1330 (b) 2 (c) 0.2 (d) -2 (e) 1\/3 (f) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 447*j - 22835. Calculate h(144).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 712 - -140. Let t(k) = -1 + 14 - 823*k**2 + g*k**2 + 12*k. Is t(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*v - 405 + 461 = 0, 7*s - 2*v = 210. Calculate the lowest common multiple of s and 176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 1033200?\nAnswer: 1033103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15589590, -15589596, -15589606, -15589620, -15589638, -15589660, -15589686?\nAnswer: -15589716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*b + 96 - 8*b + 26*b + 6 + 63 to the form y + p*b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = -7*a. Suppose a*b - 62 - 49 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 78. Let t(m) = 152*m - 5. Let o(x) = -31*x + 1. Let s(l) = 55*o(l) + 11*t(l). Calculate s(i(u)).\nAnswer: -66*u - 2574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2181*b*o**2 - 75*b*o - 798*b - 58404571*o**2 - o + 1 wrt b.\nAnswer: 2181*o**2 - 75*o - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102120 = -61*d + 3288. Calculate the greatest common divisor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(52) - sqrt(13)) + (-5 + sqrt(52))**2.\nAnswer: -19*sqrt(13) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(135)\/sqrt(5))\/((-3*sqrt(576) + sqrt(576) + sqrt(576))*4).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1268, -1895, -2510, -3107, -3680, -4223, -4730?\nAnswer: -5195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6625, -1404\/11, 9?\nAnswer: -6625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2. Let m(z) = 13*z - 16. Calculate m(o(j)).\nAnswer: 104*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1875 - -2352. What is the remainder when b is divided by 164?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244308944 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**2\/3 - 164*k\/3 + 176 = 0?\nAnswer: -44, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 2, b: 2, w: 6}. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325656 divided by 4.\nAnswer: 81414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**17\/j)\/j*j*j))**(5\/9) assuming j is positive.\nAnswer: j**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 96*t**2 - 419*t - 145. What is u(-52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -481*x**2 - 7*x - 222. Let w be d(-13). What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**7\/105 - 4*p**6\/15 + 49*p**5\/10 + 169*p**4\/6 + 176*p**3\/3 + 5568*p**2. Let u(a) = 0. Calculate a.\nAnswer: -22, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-28))\/(-1)*714\/(-68)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -16, r = 2*o + 4. Suppose 4*i = -o*i + 8. Suppose -y - i = -36. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**4 + 0*i**4 - 2*i**2 + 4*i**4 - 1 - 3*i - 2*i**3 + 0 to f + l*i**4 + m*i**2 + c*i + t*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {n: 4, y: 3, a: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkbbkkbkkbkbkk. What is prob of picking 2 b and 1 k?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -63, -75, -87?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -74000.2839.\nAnswer: -73960.2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 74*z + 982. Calculate f(-33).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -151c0?\nAnswer: 151c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2048615*c**3*n**3 + 1878*c**3*n**2 + c**2*n**2 - 158*c**2*n - 3*n**4 + n**2 wrt n?\nAnswer: 12291690*c**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98242347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 2. Let p be k(-5). Let s = p - 5. Let d = 5 - s. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 589, 5\/4?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*r + 8*r - 46*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 + 13*r - 25. Let f be w(10). Let l(s) = 7*s**3 + s**2 - 7*s - 6. Let c(j) = -6*j**3 - j**2 + 6*j + 5. Determine f*l(y) + 6*c(y).\nAnswer: -y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t = 3*h + 87, 4*t = -5*h - 141. Calculate the least common multiple of 5\/(-10)*2*-22 and (-1 - h) + (0 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/10*(-820)\/8. Suppose w - d - 187 = 0. What is the second derivative of -421*p + w*p + 2*p**2 + p**3 - 2*p**2 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -42) + (1 - (-14 - ((9 - 24) + 10))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 27 + 2. Suppose -17*v = -m*v - 408. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 83.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, z: 11}. Give prob of sequence gzzg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-44)\/(-88))*(-102)\/6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-84) + 32\/(-56))*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 3*v = -12, 0 = 4*v + 12. Suppose 0 = w + 2*r - 1, 8 = 5*w - k*w + 2*r. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/9)*g)**(1\/5) assuming g is positive.\nAnswer: g**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42825012761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -9. Let y = -28 + 30.4. Let w = q + y. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12144104 (base 5) in base 6?\nAnswer: 2250505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*u**2 + 832 - 847 - 31*u**2 in the form s*u + p + k*u**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 716 divided by -358\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8 + 83*n**2 + 2*n + n + n. Let z be b(-6). Let o = z + -23741\/8. Find the common denominator of o and 71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2387303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001149 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1671, -11989, -39633, -93267, -181555?\n\"Answer: -1444*l**3 + l**2 - 213*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11535369410.4 and -2.\nAnswer: -11535369412.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 266*g**2\/3 - 23407*g\/2 + 23763.\nAnswer: -(g - 2)*(g + 267)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from ininnniininn?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1.2, 1.43, 2\/23, 1\/3 in increasing order.\nAnswer: 2\/23, 1\/3, 1.2, 1.43, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/13, -2, 0.3 in increasing order.\nAnswer: -5, -2, -2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 560. Suppose 5*w = 5*c + m, 0 = 5*w + c - 4*c - 288. Suppose -w = -5*v - 5*q, 0 = -2*v + 3*v - 2*q - 21. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.40484 times -9542\nAnswer: -3862.98328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 2*y**2 + 9. Let x be l(-3). Suppose x = 2*d - 4, -n = -0*n - 3*d - 642. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506108036691 + 11*t**2 - 2506108036691.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 84 (c) 5 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuieeeeeiieeee. What is prob of picking 1 i and 3 e?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23051 - 2?\nAnswer: 23045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*d + 2*p - 113, p = -2*d - 57. Let j be d\/8*(-4)\/7. Find the second derivative of 3*n**3 - 5*n**3 - n**j + n**2 + 3*n wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/84*3 - 3\/6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187665.\nAnswer: 3, 5, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -66338980 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.747587414 to five dps.\nAnswer: 0.74759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31425203 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -19, -133, 29.\nAnswer: -133, -19, -5, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9757*f**2*y + 5256*f**2 - 184*f*y + 398294*f wrt f.\nAnswer: 19514*y + 10512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -14 + 13 + (-8 - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r + 10*r**2 - 3*r + 5 - 9*r**2. What is the remainder when k(-4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 0, -2, -16\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 5*b)*(1 - 3 + 5) + 3 - 3 + 3*b + (-b - 2*b + b)*(2 + 0 + 0) - 2*b - b + 5*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 4. Let s be z(-4). Suppose 0 = -s*q + q - 7. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.974 + 7.974. Let t = -61\/2 + 30. What is the fourth smallest value in -5, t, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 10*o**2 - 2*o - 9. Let b be t(-10). Suppose 21 = b*d - 1. What is the derivative of -15*g**2 - 251 + 234 - 5*g**d wrt g?\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296\/6068 + (-4950)\/615\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42711a (base 13) to base 8\nAnswer: -5742551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19849326.\nAnswer: 2, 3, 7, 197, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-340)\/(8\/2) - 0. Let l = -46 - w. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86\/171 + -1\/19. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82617907 rounded to 3 dps?\nAnswer: -0.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 1001*y + 47481. Let o be n(123). Let x = 80\/33 - 12\/11. Factor -2\/9*z**4 + 16\/9 + 8\/9*z - x*z**2 - 10\/9*z**o.\nAnswer: -2*(z - 1)*(z + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5 and 43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 + 23*p**2 + 52*p + 1. Let i(g) = -2*g**3 - 8*g**2 - 18*g. Let l(u) = -8*i(u) - 3*q(u). Give l(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 479 - 183. Suppose 0 = 23*t - 19*t - z. What is the remainder when t is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrllllmm. Give prob of picking 1 m and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 36183882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*r)**(-33)*r**7\/(r\/r**(-8\/7)) assuming r is positive.\nAnswer: r**(3499\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41705.8777 rounded to the nearest 10?\nAnswer: -41710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:15 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 4*y - 3. Let s be (9\/108*-9)\/(1\/(-116)). Let j = -89 + s. Calculate d(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 1023942.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 31, 42, 47, 46, 39?\n\"Answer: -3*b**2 + 26*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 14 = -5*z - 3*g, 0 = -z + 2*g - 2. Let d(n) = 0*n**2 + 2*n**2 - 4*n**z. Let x(c) = -22252*c**2 + 11165*c**2 + 11141*c**2. Determine d(x(k)).\nAnswer: -5832*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64039128.\nAnswer: 2, 3, 2668297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -255471 divided by 3?\nAnswer: -85157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 1, o: 11}. What is prob of picking 1 o and 1 j?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-635)\/(-5080)*48\/(-10)*(-8)\/60.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -208.1, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -742560, -2970230, -6683014, -11880912, -18563924, -26732050, -36385290?\n\"Answer: -742557*q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:30 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -20303431?\nAnswer: 20303424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 2001. Let s = 985 + y. Suppose -6*u + 0*u = -s. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c + 27. Let j be d(-9). Suppose -j = 6*g - 2742. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50427149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1856)\/1160)\/((-13)\/3 + 3). Solve -1\/5*z**4 - i*z**2 + 0 + z**3 + 0*z = 0 for z.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*m - 6 = -816*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/4*48\/(-18). What is the greatest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26735 + -16071. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44 - (1 - (-4)\/(-1)). Factor -46*d**3 - 3*d**4 - 6*d**2 - x*d**3 - 3*d**4 + 108*d**3.\nAnswer: -3*d**2*(d - 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/53 (b) -2 (c) 4 (d) 1 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/3 - 4*d**3\/3 + d**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/47277 and 11\/738.\nAnswer: 3876714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 + 12 = d, -4*d - 27 = 3*t. Let r = 11 + t. Suppose 0 = -5*h + f + 23 + 2, -4*f - 36 = -4*h. What is the greatest common factor of r and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/420*-8*(-9)\/2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1) - -6) + (0 - 1). Suppose 3*m = 3*l - 270, -2*l = -r*l - 4*m + 204. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10182, -40728, -91630, -162882, -254478, -366412, -498678?\nAnswer: -651270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + -2 - (-14 + (-3 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.87279089 to two dps.\nAnswer: -4.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4419882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:37 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 2*d + 4*d)*(1 - 1 - 2*d) - 4 - 2*d**2 + 4)*(0 + 1 - 3).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - 3*j = -104, 5*n = 2*j + 469. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 + -35.56987573622.\nAnswer: 170.43012426378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 14*n**2 + 29*n + 19. Let l be x(-11). Let a = l + -67. What is the smallest common multiple of 18 and (a\/5)\/((-12)\/270)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let j(n) = -3*n + 9 - 6*n + 1 + 15*n + 12*n. Let y(d) = -d - 3. Let m(i) = j(i) + y(i). What is m(k(u))?\nAnswer: 17*u + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k - 12. Let w be 2\/(-3) - (-345)\/180. Find d, given that -5\/4*d**k - d**5 + 0 + w*d**2 + 1\/4*d + 3\/4*d**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430088736.\nAnswer: 2, 67, 667019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 49*r + 278. Give y(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -8375 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 13 - 47 = 0. Let i be (7\/(-21))\/((-1)\/r). Let j = 9 + 7. Solve -i = -4*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.46 - 5.83. Let l = i - 2.43. Which is the nearest to l? (a) -0.4 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 241 - 86407?\nAnswer: -86186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -1\/84*q**8 - 13\/6*q**4 - 5*q - 3*q**2 + 0 + 22\/15*q**5 + 2*q**3 - 3\/5*q**6 + 2\/15*q**7. Factor h(u).\nAnswer: -4*(u - 3)*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/50 - 13\/200. Which is the nearest to 1? (a) -1 (b) y (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - y + 2*y + 5 - 2*y - 4*y + y + 2*y + 0*y - y + (0 + 1 + 0)*(3 - 3 - 2*y) + 2 - 2 - 2*y + 3 + y - 3.\nAnswer: -6*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 15. Let s(v) = -1 - v - v**2 - 5*v**3 - v**3 + p*v**3. Let k(q) = 4*q**2 + 2*q. Let o be k(-1). What is s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, -4, -5, 2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzyxzozz. What is prob of sequence xz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4743\/(-68))\/(-31)*20. What is the greatest common divisor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -18817, -205?\nAnswer: -18817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1165 + 1231. Let z = 161 + -95. Is z smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let q(x) = x**2 - x + 1. Let a be q(m). Is 16 a factor of (36 - (-1)\/1)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34\/6 + 4\/12*1 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {b: 15, d: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 136.9?\nAnswer: -139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 9257652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)\/(-48 - 12\/(-6))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 - 339. List the prime factors of -3*1 - (-10252)\/n.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14686027 to the nearest integer?\nAnswer: 3832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.24474822 - 14.245. What is q rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1223, -142, 1 in descending order.\nAnswer: 1, -1, -142, -1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-5))\/j*j**(-1\/3)*j)\/(j\/j**4*j**(1\/2)*j*j))\/(j**(3\/7)*j**(3\/7)*j*j*((j*j*j**(3\/5))\/j*j)\/((j*j**2)\/j)) assuming j is positive.\nAnswer: j**(-1531\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180 divided by 20?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 35 + 48 + -64?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzi when three letters picked without replacement from ijvavuz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from ttrtttttllltttttttrt?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -37. Let l = 12.4 + k. What is the second smallest value in l, -2\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) 2\/17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = -13. What is the remainder when 11 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21212 is divided by 2061.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (sqrt(42) - sqrt(378)*4))\/((sqrt(486) + sqrt(6))*-2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s**3 - 15*s**4 + 32 - 17*s**3 - 2*s**2 - 35 + 2*s to n*s**3 + k*s**2 + y + i*s**4 + q*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 66 - 1\/5*h**2 + 107\/5*h = 0.\nAnswer: -3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 4*o**3 + 0*o**3)*(1 + 0 - 2)*(39*o + 59*o - 122*o).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:14 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + 2*x**2 + 5*x - 5. Let v be -2 + (-8 - -6) + -1. Determine a(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.08 (b) 76 (c) -0.2 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43159 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 399, 495, 591, 687, 783?\n\"Answer: 96*p + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-29)*t*t**(-18))**10)**(-28) assuming t is positive.\nAnswer: t**12880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 9 - 9 + 25 - 10. Suppose -15 = 13*f - 18*f. Let k(p) = 112*p - 49. Determine f*k(w) - 49*l(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w**4\/4 - 2*w**3\/3 - w**2 - w + 1. Let h be (((-240)\/(-12))\/(-10))\/(2\/(-23)). Suppose 2*n + 21*n = -h. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -0.48. Let x = 0.18 + v. Let o = x - 1.87. Is -2\/5 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*q + 62 + 41, -2*m - 98 = 2*q. Let t = q - -54. Find the third derivative of 6*i**2 + t*i**2 - 29*i**5 + 35*i**5 wrt i.\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 43 = 301*r - 303*r + 45, -58 = -0*r - 5*r - n for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - 2*sqrt(6))*-2 - 4*sqrt(24))\/((2*sqrt(6)*-3)\/(sqrt(50)*1)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:43 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1513 - 848. What are the prime factors of w?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 11*g = -2*a + 7, -5*g + 23 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8*c + 17. Let x be o(-6). What is the third derivative of -8*j**x + 3*j**5 - 10*j**5 + 5*j**2 wrt j?\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/708 and 37\/369768.\nAnswer: 21816312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4818173, -4818164, -4818151, -4818134, -4818113?\nAnswer: -4818088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2232\/9672)\/(-1*(-6)\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628372261.\nAnswer: 1628372261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -43216600 to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1216) + -3 + 1)*2 + 1*(sqrt(1216) + sqrt(1216) + 2) + sqrt(1216) + -5 + 0 + sqrt(1216) + sqrt(1216))*-3)**2.\nAnswer: -8736*sqrt(19) + 536932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 36, 66, 108, 162, 228?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:20 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*o + 5*k, 0*k = -k + 3. Calculate the smallest common multiple of 18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/16 + (-5)\/160*-36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -27, -163, -543, -1269, -2443, -4167?\nAnswer: -6543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4 + 0*f**2 + 3*f - f - f**2 - 3*f. What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 575, 5, -37, 0, 2 in decreasing order.\nAnswer: 575, 5, 3, 2, 0, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 - 9 = 0. Let f be (i\/(-6))\/((-3)\/72). Solve -2*u + x + 7 = -4*u, -2*x = 5*u + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (-15 - (-26 - (-28 - (-21 + 12) - -15)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*c = -12, 0*m - 4*m - 2*c = -8. Let k = m - -5. Suppose 31 = -0*i - i + 2*t, -5*i - k*t - 80 = 0. Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -253*b + 1433 - 1433 in the form p*b + f and give p.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 68*c + 86. Let m be o(17). Calculate the highest common factor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.11695 + -2.41821. Let w = -1.317 - t. What is w rounded to four dps?\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 555 * -995.57.\nAnswer: -552541.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-10) + -3)*-6 + 2. Put 0, c, -1 in ascending order.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.358\nAnswer: -0.00358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21183792.\nAnswer: 2, 3, 7, 67, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105940661 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54389447?\nAnswer: 7, 383, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 14 + 4. Let l(m) = 4*m - 9. Let d be l(i). Calculate the highest common factor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d + 22*d**2 + 41*d + 24*d**2.\nAnswer: 46*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from uurrupjjnlnl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1 + g**3 - g - 6*g**2 - 2*g + 10*g. Suppose 25 = -0*l + 5*l. Is n(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198\/19*r - 146\/19*r**2 - 36\/19 + 28\/19*r**3 = 0. Calculate r.\nAnswer: 3\/14, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + w - 6*w. Let q(b) = 12*b**2 - 5*b + 15. Let u(d) = -14*d**2 + 6*d - 18. Let p(s) = 6*q(s) + 5*u(s). Give a(p(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 4*x - 5*x + 6*x + 11*x - 5*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 148, 286, 480, 730, 1036?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 5*n + 17, -v = -4*n - 11 + 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*t**3 + t + 621*t**3 - 8 + 1491*t**3 + t + 11 as m*t**3 + i*t + h + z*t**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*m + 152*m - 51. Let o = -2 + 1. Suppose 0 = 14*l - 41*l - 81. Which is the nearest to o? (a) l (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:12 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - a**4 + 0*a**4)*(2 - 2 + 3) - 3*a**2 + 3*a**2 - a**4 + (2 - 1 - 2)*(2*a**4 + 4*a**4 - 4*a**4) - a**4 + a**2 - a**2.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:57 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Let v = a + 2. Differentiate v - 4 - 3*q**2 + 0 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 131467 = 463467. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (2 - 5))*1. Let f(g) = g**3 + 9*g**2 + 16*g - 11. Let m be f(-6). Let r = d + m. Which is bigger: -2\/17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 27 + 23. Let c = -33 + 38. Calculate the lowest common multiple of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -37*t. Let d be 1*-1*4*12\/(-24). Let h(i) = 1 + 2*i + d - 3. Determine x(h(o)).\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6. Let b be 0 + (-6)\/4*2. Let u = b - r. Is -2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 109.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/38907 and -71\/99.\nAnswer: 38907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27480*i + 10359971. Determine l(377).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 20 - 68. Suppose -15 = -5*j + 185. What is the highest common factor of r and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 12*j**2 - 30*j**2 - j**2.\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 985764 and 890.\nAnswer: 4928820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3 - 2*t. Let y(r) = r - 5. Let f be y(7). Let k(p) = -5*p - 4*p + f*p + 6*p. Determine k(x(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -125. Put -7\/3, a, -1\/3 in increasing order.\nAnswer: a, -7\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26\/5 (b) 1 (c) 11 (d) 1\/4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270334 is divided by 74.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -g + 5*g + 9, 5*n - 29 = 4*g. Let x = -2 + n. Calculate the greatest common factor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49680\/7*z**2 + 291600\/7*z + 324000\/7 - 3\/7*z**5 + 258\/7*z**4 - 7032\/7*z**3.\nAnswer: -3*(z - 30)**3*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 1\/3*p**3 + 6 - 2*p - 3\/2*p**2. What is m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 863*o + 1706*o - 859*o + 1 - 1 + o - 1 - o + 1 + 1 - 2*o - 1 + (-2*o + 0 + 0)*(3 - 1 - 4) - o - 4*o + 4*o.\nAnswer: -15*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 4 (b) 1\/14 (c) -3\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*g + 20 - 45, -m + 9 = -2*g. Is 58 + 1059 + g\/((-10)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1057 - 1043 + 2079. Let u(g) = -6*g**2. Determine u(j(c)).\nAnswer: -6*c**2 - 252*c - 2646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5318 is divided by 89?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + x**3 + 5*x**3 + (5*x**2 - 4*x**2 - 4*x**2)*(-35 - 26 - 68)*(9*x - 24*x + 8*x) as u*x**2 + n*x**3 + j + f*x and give n.\nAnswer: -2705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 - -5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let s = -0.06 - -5.06. Let b = 5670 + -11341\/2. What is the second biggest value in b, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 0.02. Let c = l - -0.16. Let r = c - -1.9. Does r = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let i(a) = 2. Let b(v) = 11*g(v) - 6*i(v). Let k(j) = -2*j**2 + 8. Let s(l) = -8*b(l) - k(l). Let o(p) = -17*p. Calculate s(o(t)).\nAnswer: 578*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 22*x**2\/5 + 14*x - 10.\nAnswer: 2*(x - 5)**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 + 20*n**2 + 8*n**2 - 35*n**2. Let p(o) = -11*o. Calculate p(v(m)).\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = 390*n - 50 + 301 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6977.934 micrometers?\nAnswer: 0.006977934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19 and 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(936)\/sqrt(2) - (6*(sqrt(91) + sqrt(91)*1 - sqrt(91)))\/sqrt(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-3)\/(4 - -5). Let z(s) = -4*s**2 - s + 1. Determine z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*l - 4 = 3*l, -s + 2*l - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33614751 is divided by 218.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 196156.8kg?\nAnswer: 196.1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52\/5 + -119\/10. Let v = -377\/552 - -4\/69. What is the third biggest value in 0.3, k, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.8284 - 2.8352. Let o = c - 22. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - b - 15 = -5, -3*h + 2*b + 27 = 0. Let l be (1*h)\/(2\/4). Suppose 2*j - 8 = l. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let y(o) = 4*o**3 - 2*o + 4. Let a be y(c). Let k be ((-4)\/5)\/(((-24)\/30)\/4). Calculate the highest common factor of a and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -515*o**2 + 38*o + 479. Let t(c) = 86*c**2 - 6*c - 80. Let g be 111*(-6)\/18 - 1. Let f(h) = g*t(h) - 6*y(h). What is the derivative of f(w) wrt w?\nAnswer: -356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l - 60. Suppose 12*y = l*y - 135. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/10)\/((36\/(-16))\/9). Which is the nearest to 0.1? (a) 4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2959*b**2 - 173*b**2 + 1 - 4 + 416*b**2 + 2 to the form r*b + s + x*b**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u*v**3 - 5*u - 51228*v**3 + 8390 wrt v?\nAnswer: -6*u*v**2 - 153684*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*b + 991, 2*x - 19*b = -20*b + 973. Does 61 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4 and 11\/2864?\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (2\/(-14))\/(2124\/2478). What is the smallest value in -1\/4, p, -0.21, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4*t + 4)*(4 - 3 + 1) - 4*t - 2*t + 3*t in the form y*t + u and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100856360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 18?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.059, 0.4 in increasing order.\nAnswer: 0.059, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-2\/11)*l**7 assuming l is positive.\nAnswer: l**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 5*c**2 + 0*c**2 - 2*c**2 + 5*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35402 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 2*q**2 - 4*q. Let g be d(-3). Let p = -21 - -36. What are the prime factors of 30*(g\/p - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w**3 - 30*w**2 - 25*w. Let t(g) = g**2 - g - 1. Let z(d) = -k(d) + 10*t(d). Factor z(n).\nAnswer: 5*(n + 1)*(n + 2)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 74. Suppose 0 = -2*j + 3 + 1. Let v be (14\/4 - 4) + j. What is the closest to 2\/7 in k, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*g - 2, -g + 17 - 12 = -2*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 113?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/7)\/r**(-3\/8) assuming r is positive.\nAnswer: r**(53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a + 80 + 1069 = 29*a - 9071 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d = -6*v + v + 175, -3*v = 4*d - 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/(-14) - 2\/(-2))\/(14\/56). Which is the nearest to 0.1? (a) 3 (b) -2 (c) r (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*p + 960 - 1184 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -13795 = -13796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -9079.\nAnswer: -9079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1309820 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 62*y = 4*y + 896. Calculate the highest common divisor of y and 10213.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -37545?\nAnswer: -37541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2739, -5449, -8159, -10869, -13579?\nAnswer: -16289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223797902 to seven decimal places.\nAnswer: 0.002238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34493*c + 34509*c + 64 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:43 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5\/c)\/c*(c*c\/c**(3\/8))\/c)\/(c**7*(c*c\/(c*c*c**(-3\/5))*c*c)\/c) assuming c is positive.\nAnswer: c**(-199\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.033 - 0.283. Let p = 0.89 + 0.06. Let i = p - j. What is i rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 11567060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -0.4 (b) 12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**6)\/b**(3\/5))\/(b*b**(2\/7)*(b*b*b**(-2)*b)\/b)*(b**(2\/3)*b**(-6))\/((b\/(b*b**(-1\/11))*b)\/(b\/(b**(-5)*b))) assuming b is positive.\nAnswer: b**(4262\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 1. Suppose -9 = 5*b - 2*b. Let l = b - 5. Let y = 10 + l. Determine o(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1453 - 1453. Let u be 6\/(-11)*10\/15. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258777137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**2. Suppose 4 = -2*r + 2. Let d(o) = -1. Let g(z) = -2*z + 4. Let j(c) = r*g(c) - 4*d(c). What is j(a(i))?\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 151 - 5*x - 151. Let h(p) = 51*p**2 - 19*p**2 - 29*p**2. Determine a(h(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9182 (base 11) to base 12\nAnswer: 707a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a - 43 = 0. Let w = a - 20. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297847.8 centimeters in millimeters?\nAnswer: 2978478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 + -330. Calculate the highest common divisor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-645)\/903)\/(((-280)\/(-256))\/(-7))?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170 != 6172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 35687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -11. Let h = p + 26. Let b = h + -7. Solve -b*m + 3*o + 7 = 0, -2 = 4*m - o - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*g - 4813 = -37*g + 757*g + 7835 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13058*(6 - 4)*(3\/1 - 1)?\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*16*(-16)\/(-1024)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-13 - -3) - (3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 8*s + 18*s - 6*s + 10. Let w(c) = 8. Let h(u) = 4*p(u) - 5*w(u). Let y(l) = 19*l. What is h(y(z))?\nAnswer: -76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ea890d + -4?\nAnswer: ea8909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(2\/45)\/((m**(-19)\/m*m)\/m**19) assuming m is positive.\nAnswer: m**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-4 - 1 - 0). Suppose -t*r + 247 = -653. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + sqrt(190)*-2)*-6)\/(sqrt(90)*1*-6)*3*-5.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z + 3113 = -229*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13121 + -13148. Put -41, y, -2 in increasing order.\nAnswer: -41, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -379, -380, -381, -382?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 58*p**3 + p**2 - p. Let l be t(1). Suppose 3*s - j - 46 = 0, -s = -3*j + 4 - 22. Let m = s + l. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 80 = -41*b. Suppose 6*z - 2*u + 6 = 4*z, -5*z = b*u - 35. Factor -2\/3*p**4 - 2\/3*p**3 + 2\/3*p**z + 0 + 2\/3*p.\nAnswer: -2*p*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**8\/20160 + 3*j**5\/20 - j**4\/8 + 13*j**2. Let a(p) be the third derivative of y(p). Let l(g) = -158*g. Determine a(l(z)).\nAnswer: -24964*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 77 + 14. Calculate the highest common factor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 11. Let d(q) = -4*q + 23. Let n(r) = 2*d(r) - 5*t(r). Is n(8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veeeeeevvev. What is prob of sequence eee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 i when four letters picked without replacement from girbig.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6953 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1411402 (base 6) to base 14.\nAnswer: -20d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 126\/(-140)*-6*5. Solve 4*w = -s - p + 13, 5*s = -w + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**2 - b**2)*(0*b**2 - 6*b**2 - 2*b**2) + (6 + 9 - 5)*(b**5 - b**5 - b**5).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in 182, 1, -0.5, 5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 2 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66259*t**2 - 2 - t + 67459*t**2 + 2)*(30 - 30 - 8*t).\nAnswer: -9600*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f + 162. Calculate d(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22*b + 9. Let o(y) = y + 1. Let s(l) = -18*o(l) + 2*z(l). List the prime factors of s(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*-9*(-4)\/24. Let a be ((-175)\/t)\/7*-3. Suppose -a*f + 97 = z, 5*z + 4*f = 3*z + 182. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2979061\/3 at most -993020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -431, 3\/7, 4, 1\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a factor of 5186210844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*y - 111*y = -18557 - 19657 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3. Let z be (3\/(-3))\/(4\/16). Suppose -15 = -174*k + 169*k. Let m(p) = -p + 3. Calculate k*x(b) + z*m(b).\nAnswer: 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-3)\/(-9))\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1429 + 688 - 2913)*(b**2 + 0*b**2 - 3*b**2 + (5 - 2 - 2)*(-b**2 + 2 - 2)).\nAnswer: 2388*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8820?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100100000000000100111 (base 2) to base 4\nAnswer: -10200000213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (1 + (-1 - (-23 + 11) - 9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3783 = -z, 2*j + 5*z + 1628 = 5417. Calculate the least common multiple of j and 12.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751644613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 286 - 1378 = 0. Let z be g\/65 + 4\/5. Let s be 3\/z + 143\/(-55). Is 0 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7324, -9385, -11454, -13531?\nAnswer: -15616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72244977.\nAnswer: 3, 7, 3440237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**2 + 21448554*s - 400931610 wrt s.\nAnswer: -8*s + 21448554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (51 - 33 - 11) - -10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 14*o = -12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-35)*a**30 assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120593\/12 + -10043. Calculate the common denominator of j and 65\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 - (1 + 8)). Let m = q - -17. Let w be (-4)\/2 + m + -1. Solve 2*t - 6 = -w*r, -r + 5 - 3 = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*n*u**2 + 2*c**3*n*u + 13*c**3*n - 2*c**3*u**2 + 2*c*u**2 + 22*c*u - 729*u**2 + 63 wrt u.\nAnswer: 4*c**3*n - 4*c**3 + 4*c - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 9, -973, 0.09, -0.3, -0.08?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 + 1095*s**2 + 94*s + 49330. Calculate u(274).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13190 rounded to the nearest 100?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594468 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l, -j + 18 = 4*l. Let n(m) = -m**3 + 8*m**2 - 6*m - 26. Let s be n(5). Is j smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k - 18*k + 2027 + 62 = -1915 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + -1 + 3 + -4*sqrt(17).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-3) + (-2)\/6. Suppose 13*a - 5*p = 14*a - 13, 5*p - 25 = -5*a. Sort -6, a, x in ascending order.\nAnswer: -6, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232230113 (base 4) to base 10\nAnswer: 191255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3 - 8160*m**2 - 16638237*m + 33309122 = 0?\nAnswer: -4081, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 124, -5 in increasing order.\nAnswer: -5, 4\/9, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127872510*o**4 - 3707*o**2 - 6*o + 855?\nAnswer: -3068940240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 9*m**3 + 3*m - m - m + 5561 - 5559 as u*m**3 + y*m + t*m**2 + h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2851 divided by -2851\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3.6. Let k = 0.4 - g. Let h = -4 - -4.1. What is the closest to h in k, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -275, 1\/6, -5, 206?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-64)*(-4)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 + 0.17. Let u = b - -0.2. Let j = u - 0.110028. What is j rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/2 - 4*p**3\/3 + p**2 + p - 25. Let r(v) = -3*v**3 - 5*v**2 + 2*v + 1. What is -5*g(m) + 4*r(m)?\nAnswer: -2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 27 - 131) + 221?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -5*l + 12, -5*j + 2*l = -4008. Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -576, -4, 0, 1, 2 in increasing order.\nAnswer: -576, -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 65*v**4\/6 + 3*v**2 + 7*v. Let g(i) = 2*i. Determine g(n(l)).\nAnswer: 520*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230 - 31 + 104 + 293*d - 109*d wrt d.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15048 and 513?\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 8:14 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5*-1)\/(20\/1350*-15)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 (base 7) in base 14?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*h - 11 = 0, -5*u + 248*h + 244*h - 496*h = -9*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, c: 1, r: 5}. Give prob of sequence rckr.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32428*0.5.\nAnswer: -16214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 64, 5, -0.05, 0.3, 5.83, -5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1784*i**2 + 397 with respect to i.\nAnswer: -3568*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tntqnktt. Give prob of sequence kn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 24. Let o(s) = -4*s - 20. Let q = 657 + -662. Let c(t) = q*a(t) + 6*o(t). Let b(i) = i**2 + 52*i. Determine b(c(g)).\nAnswer: g**2 + 52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 38. Suppose 5*c - 2*o + 1 = 19, -3*o = 3*c - l. Suppose -i = 5*b + 3*i - 6, -c*b + 5*i = -13. Solve 0*u = -b*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/110 and -438*3\/(-4485) + (-38)\/247.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-13\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55611 at most as big as 55644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44806396*u + 30768017.\nAnswer: -44806396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328907 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 23*d. Let t(r) = -3*r. Let k(j) be the third derivative of 13*j**4\/24 - 13*j**2. Let b(p) = -2*k(p) - 9*t(p). Calculate m(b(l)).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 95780960.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 6)*(2 + 0). Let i be (-3)\/((-21)\/6 + 2). Let v be 6\/12*3*i. Solve 1 + v = g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 2*o + 16 + 16.\nAnswer: -2*o + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.915426 micrograms to kilograms.\nAnswer: 0.000000000915426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 13 + 13 - o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzvihqhqiihqhhiihqh. What is prob of picking 1 h and 1 v?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(-21)*(x**(-1\/2))**(1\/49)*(((x**1*x)\/x*x)**34)**(3\/25) assuming x is positive.\nAnswer: x**(2817\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + x = -2, 0 = 6*q - 2*q + 2*x - 26. Let v(o) = -2*o + 1. Let i be v(-7). Solve -3*h + i = 0, -5*h + 3 = q*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15291, 15300, 15311, 15324?\nAnswer: 15339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - (15 + (-939004)\/33). Suppose 2*c + 5*y + 1 = 19, -14 = -3*c - y. Suppose -c*t + r = 8*t. What is t rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 12*z + 25. Let c be o(-12). Let f = c - 23. Let -40*m**2 - 40*m**f + 36 + 77*m**2 + 3*m = 0. What is m?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd8 + 216?\nAnswer: -9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 47.\nAnswer: -14\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Let n = o + 17. Calculate the highest common factor of n and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2 (c) 89\/47 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 (base 15) in base 12?\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*o - 14. Suppose -3*r + 1 = 4*a - o, 0 = -3*a. What is the second biggest value in r, 0.06, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12457301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from gghgdhdhghhhgdhd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*w + 4 - 4 - 1304*w - 761*w as j*w + o and give j.\nAnswer: -1757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 170324\/990 - (-36)\/(-810). What is the greatest common factor of 6794 and k?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**2 + 6*x + 4. Let g(o) = 5*o**2 + 2*o + 1. Let a(m) = 17*g(m) - 6*w(m). Let q be a(5). Suppose 4*s - 220 + q = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*r + 2, 10 = 4*r - 3*r - 4*b. Which is greater: r or -12\/19?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -454, 128?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71735 = 24*y - 239183. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {c: 7, x: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -2*(-1 + sqrt(1700))).\nAnswer: -10 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r + 13*r**2 - 6*r**3 + 3*r**5 - 6*r**4 - 3*r**3 - r**2 + r.\nAnswer: 3*r*(r - 2)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**5 + 0 + 0*f**4 + 0*f**2 - 2*f + 1\/2*f**3 + 0*f**6 - 5\/42*f**7. What is the second derivative of t(k) wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.2, 0.281 in increasing order.\nAnswer: -3\/5, -0.2, 0.281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2. Let s(x) = 107457*x**2. What is p(s(f))?\nAnswer: 115470068490*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-6) + 14\/(-21). Suppose 4*x + q = x + 1966, 5*x + j*q = 3270. Suppose -659 = -4*a - 2*f - f, 4*f - x = -4*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-315)\/(-12))*(-5)\/2. Which is the second smallest value? (a) r (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10986*b = 11002*b - 192 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(y**5 + y**5 - 4*y**5) + 5*y**5 - y**5 - 2*y**5 + (-3*y - 7*y + y)*(y**4 - y**4 - y**4).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - t. Let m(c) = -c**3 + 4*c**2 - 3*c. Let l be m(2). Give w(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (1 + sqrt(1100))*-4 + -3*(0 + sqrt(1100))*-6)**2.\nAnswer: -1078005 - 1400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*z**2 - 3*h**2*z - 219*h**2 - 23*z wrt z.\nAnswer: -4*h**2*z - 3*h**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cctc when four letters picked without replacement from {z: 4, t: 3, c: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -847787 or -848204?\nAnswer: -847787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366185 - 206285. Round p to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/90)\/(-13)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - a - 20 = -0*a, 1 = 2*z + a. Let l be 0 - (-5)\/(5\/4). Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 3. List the prime factors of i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247 - 244. Suppose -j = -l*o - 3, 6*j - 42 = 2*j + 2*o. Solve 0*c = -4*c - j, 0 = 3*s - 5*c - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*x + 234 = 198*x. Suppose 74*t = 72*t + x. Solve -10 = -t*c + 8*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 925.9099 micrograms?\nAnswer: 0.0000009259099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1175994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586*h - 1576 = -552*h - 70732 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*l**2 - 102*l**2 - 12*l**2)*(5*l - 2*l - 5*l) + (-l + l - l)*(l**2 - l**2 + 2*l**2).\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 - 264*s**4 - 23696*s**3 + 4066816*s**2 - 40080096*s - 6551646592 = 0. What is s?\nAnswer: -116, -34, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6141970 is divided by 2068?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 + 7*c + 9. Let g be x(-7). Suppose 5*z = g*z. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-11)\/o)\/(o*o**(3\/11)*o))\/((o*(o*o\/(o\/o**(1\/5)*o))\/o)\/o**(1\/15)))**(1\/8) assuming o is positive.\nAnswer: o**(-2377\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:41 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(9 - 7 + 12)*(43 + 18*i**2 - 43).\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/544 and 83\/15674170?\nAnswer: 250786720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87 - 6?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/2153 - 4327\/15071. Let y be (-15)\/19 + 3 + -2. Sort -1, -2, y, m in increasing order.\nAnswer: -2, -1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -523 (base 10) to base 2.\nAnswer: -1000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 26. Let g = -1.8 - n. What is the third biggest value in 5, g, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115688365.\nAnswer: 5, 13, 1779821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 2. Factor -4*r + 2*r - 2 - k + 10*r + 12*r**2.\nAnswer: 4*(r + 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 104*z**2 + z - 3. Let n be 0\/(-1) + 1 - -1. Let w be k(n). Suppose p - 98 = -3*o, 5*p - w = 3*o + 39. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 338, 0.02, 0.3, -1\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, g: 7, t: 7}. Give prob of sequence lltt.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13498\/7 + 108131\/56. Find p such that 15\/8*p**3 + c*p**4 + 0 - 3\/2*p**5 + 0*p - 9\/4*p**2 = 0.\nAnswer: -1, 0, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-85) - (-2736)\/136?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 223*l - 1 - 462*l + 10 in the form b + q*l and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 = 4*c, 27 = 3*w + 2*c + 3*c. What is i in -w*i**3 - 32\/7*i**2 - 4\/7 - 2\/7*i**5 - 12\/7*i**4 - 18\/7*i = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24706 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 2\/1) + 2. Let m be -2*j\/8*0. Let a(y) = 0 + m - 2*y. Let z(o) = o**2. What is z(a(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*n + 5 - 4*n as b*n + k and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(4*n - 5*n - n) - 18 + 10 - 7*n + n.\nAnswer: -10*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -127, 14, 0.9, -4, -0.1, -1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122010200 + -11?\nAnswer: 122010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 3, 0.01, -1271 in increasing order.\nAnswer: -1271, -0.03, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:36 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s = -42*s - 25*s + 152 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*z - 409 = 4*z, 128 = a - 3*z. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.3728943 to three decimal places.\nAnswer: -163.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {b: 4, z: 2, h: 1, y: 2, w: 2, f: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115335 is divided by 53984.\nAnswer: 7367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*g**2*j**3 + 2*g**2 - 149*g wrt j.\nAnswer: -453*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 18. Let f = -102 - c. Let u be (24\/f)\/((-2)\/5). Solve -4*v + 3 = -u*v + 5*b, -4*v + 12 = 2*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:18 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a decade?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2 (b) 0 (c) -0.5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/55179 and -13\/8.\nAnswer: 441432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.4 (b) 1 (c) 0.44 (d) 0.06 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -59509 in decreasing order.\nAnswer: 2, -2, -59509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and 163\/4212.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by (16 + (-4 + (-35)\/(-10))*-2)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 7. Let p be j(3). Suppose 2267 = -n + 3*x - 227, -5*x - 10010 = p*n. Let r be 20*-72*n\/(-6). What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-2)\/5)*1 - -126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:56 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y + 6. Let l(h) = 3*h + 1. Suppose -4*u = -5*s + 24, -2*s = 2*u - 3*s + 6. Let z(o) = u*b(o) + 6*l(o). Let w(r) = 4*r - 1. What is w(v) - 3*z(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)\/(q*(q\/(q*q\/((q*q**(-14))\/q*q)*q*q*q)*q)\/q))\/(q**0*q**(-4)) assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 times -0.01?\nAnswer: 5.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-35) + 19\/5. Let f be -20*(2\/(-1) + v). Let z = 55 + f. Calculate the greatest common divisor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -4, -9, -16, -25?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 17*l + 15*l - 2*l**2 to g*l + y + u*l**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 621369902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h + 5. Let a(w) = -w + 1. Let x(n) = 5*a(n) - u(n). Let z(o) be the first derivative of 7\/3*o**3 + 5 + 0*o + 0*o**2. Give z(x(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -5, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**5\/5 - 8*s**3\/3 + 4. What is the third derivative of n(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 + -1 - (-2 + -1). Solve c + 2 - 13 = 2*q, -5*q - m = -2*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1978.754441 to 0 decimal places.\nAnswer: -1979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 902 + -18944\/21. Calculate the common denominator of f and -67\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -18, -3, 1\/3, 0.08?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)*m*m\/((m\/m**3)\/m)*(m**0)**40*(m*m**(2\/7)\/m)**(12\/11)\/(m**(1\/2)*m**(-3)) assuming m is positive.\nAnswer: m**(587\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -183389, -183387, -183385, -183383, -183381?\n\"Answer: 2*d - 183391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -246480090 to the nearest one million.\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 3*r - 3. Let v = 6 + -10. Calculate z(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106448?\nAnswer: 2, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 + 0 = 59*y - 306 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o. Let z be o + 1\/(-1)*-3. Suppose 5 - 1 = -z*b - 2*h, -b - 3*h = 6. Solve 2*v = -6, b = 4*m - 4*v + 3*v + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f - 2*b + 7, 3*b = 3*f - 12. Suppose 28 = 2*v - 4*p, 6*p = -f*v + 2*p + 32. Calculate the greatest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 c when four letters picked without replacement from {h: 3, c: 10, l: 4, k: 3}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -3271?\nAnswer: -3275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 2. Let o(f) = f**3 + 6*f**2 + 8. List the prime factors of o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35660976\/17 - -2098587. Let n = o - 882. Find the common denominator of n and 31\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2549? (a) -39\/5 (b) -1\/3 (c) 0.5 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*s - 2 + 1 - 83*s + 1 + 286*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.64798628 from 3.3583.\nAnswer: 6.00628628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - c + 0*c)*(-595 - 1004*c + 595)*(-3*c + 2*c + 3*c) to the form a*c**2 + p + i*c**3 + n*c and give i.\nAnswer: 6024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, 2\/11, -2, 160, 18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 418656896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5307 and 5\/8168754.\nAnswer: 236893866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = 3*o. What is the highest common divisor of o and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6037950*c**4 - 55*c**2 - 543780709 with respect to c.\nAnswer: 24151800*c**3 - 110*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:49 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000118979 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009759951 rounded to seven dps?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l - 15. Let b(v) = -v**2 - 6*v - 5. Let w be b(l). Suppose -301 = w*g - 10*g. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166039303.\nAnswer: 73, 2274511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -8*q + 4*q + t, t + 11 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, -1 in descending order.\nAnswer: 8, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47 and -8.7?\nAnswer: 55.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*((-26775)\/(-6600) + -4).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/9, -0.4, 7\/5, -0.2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433270 (base 12) to base 4.\nAnswer: 10003202310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1077472 and -79\/440.\nAnswer: 5387360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7152 and 188932?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -43. Suppose -2*n = -4*t - 10, p*t - 4*n + 4 = -4*t. Let x = t - -7. Solve -3 = x*b, 20 = 4*a - 5*b + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2909.2 + -2909. Let z be (-3)\/2*16\/30. What is the smallest value in 0.05, z, 2\/9, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -240056*i + 240056*i - 537*i**2. Let l(u) = u**2. What is n(l(a))?\nAnswer: -537*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 0.36. Which is the nearest to 7? (a) y (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 13.8. Let t = i - 5. What is the third biggest value in -0.1, t, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932757439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*i. Suppose 4*n + 4*s - s = 45, -i*n = 4*s - 20. Let u = -7 + n. Solve -2*y + p + 0 = 3, -3*p = y + u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3667*d**3 - 194*d**4 - 3669*d**3 + 3*d + 3*d**2 - 80 + 193*d**4 to v*d**4 + i*d + r*d**3 + u + j*d**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z**3 - 21*z**2 + 14*z - 17. Let d(b) be the third derivative of -b**6\/24 + 7*b**5\/60 - 5*b**4\/24 + b**3 - 175*b**2 - 6. What is -11*d(p) - 4*n(p)?\nAnswer: -p**3 + 7*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 8. Calculate the lowest common multiple of 12 and i(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - z = m + 77, -2*m = -4*z - 38. Let x = -15 + m. Suppose -4*w + x = -0*w. What is the greatest common divisor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1443 - 18699\/13. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/4)\/(3\/12). Let j be 1\/13*(1 + w). Let z = -86\/137 + 309\/274. What is the closest to 2 in j, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.02, -4, 1, -53\/8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6351646483 from 0.01291.\nAnswer: -0.6222546483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.7 + 14. Let q be ((0 - 4) + 4)*-1. Suppose 3*s = -0*s + 9, 5*h = 4*s - 22. Which is the closest to -0.1? (a) q (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30010000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 11 + 22 + 2*i**2 + 9 to j + b*i**2 + c*i and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31. Is -1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -10 - (0 - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/26)*l**15)**(-9) assuming l is positive.\nAnswer: l**(-3519\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 779. Suppose -3400 = -j + o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.6 (b) 1\/11 (c) -663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11733*c - 52000 = -13358*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 0*h - 6 = 0. Let z be (-64)\/(-10) + -3 - h*3. What is the closest to z in 5, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:40 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 1451 = 29*j + 4*z, 0 = 2*j + 3*z - 608. What is the remainder when j is divided by 66?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) 13 (c) 3\/4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-2)*2\/(-6). List the prime factors of (x\/9)\/((-1)\/87).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 3 (c) 2\/3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2484501 or -2484513?\nAnswer: -2484501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 39*t - 166520*t**2 + 166532*t**2 - 259*t in the form q*t + k*t**3 + g*t**4 + w + j*t**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303009842 to the nearest integer?\nAnswer: 17407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -1.7. Let t = -6.5 - -7. Let w = 0 + t. Put w, -2\/25, r in ascending order.\nAnswer: -2\/25, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -8.2. Let v = t + 2.8. Let z = -0.9993 + v. Round z to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27930644130.1 and 0.8.\nAnswer: -27930644129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 2*n - 3*n. Let d(z) = 7*z**2. What is q(d(j))?\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*y - 685, -3*k + 2*y - 196 = 210. Let s = -134 - k. Let j = 101 + -100.97. What is the smallest value in 2\/7, j, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.25. Put 0, h, 3 in ascending order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1207*b**3 + 2*b**2 - 1. Let y be z(1). Let a = y + 2473\/2. Let t = a + -152\/5. Put 5\/3, 2, t in increasing order.\nAnswer: t, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.900708 + 0.099072. Let l = 15 - z. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksks when four letters picked without replacement from {k: 7, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3296?\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.159566+-5\nAnswer: -4.840434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9245200 divided by 145\nAnswer: -63760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-28)\/(-28)*2\/((-4)\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98497.\nAnswer: 7, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1985636781 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x + 3*q, -2*x - 5*q - 25 + 9 = 0. Let c(g) = -297 + 297 - 17*g**2 - 3*g**x. Let p(w) = w**2. What is p(c(n))?\nAnswer: 400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 24971.\nAnswer: 4\/24971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 166 = 190. Let y be (0 - -23280)\/(1\/(m + -9)). Round y to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18450 by 2.\nAnswer: -9225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17. Suppose q = 10*a - 11*a + 5. Let j(z) = 7*z - 7. What is the units digit of j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/(t\/((t*t**(-2\/5)*t)\/t))))))**(-47))**(-38) assuming t is positive.\nAnswer: t**(3572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12*t - 288. What is the highest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14240*f + 174 = 14269*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -1177, -4025, -9571, -18715, -32357, -51397?\nAnswer: -76735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 22233648.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 523*t**2 + 6*t - 71*t**2 + 82*t**2 - 2*t to c + q*t + j*t**2 and give j.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -12*d + 662. Calculate the remainder when 167 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 8 = -0*w - 4*w, -5*k = -w - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 7, x: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 13*y + 4. Calculate g(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -82. Suppose -r = -g + 3*q, -3*g - 3*q = -7*g + 67. What is the least common multiple of g and 88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 728, 1444, 2158, 2870, 3580, 4288, 4994?\n\"Answer: -a**2 + 719*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, -0.085, -2\/9, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57784270 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -21*s**3 - 4*s**2 + 5*s - 8. Let k be p(-5). Suppose 4*a = 5*u - k, 4*a + 1500 = 5*u - 2*u. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123054 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from ghgih?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/219384 and 115\/374?\nAnswer: 3729528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 - 44*i**3 + 52*i**2 + 44*i - 48 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**3 - 11*v - 13. Let f = 4 - 17. Let l(o) = 5*o**2 - 14*o + 4. Let c be l(6). Let b(t) = 5*t - c + 207 - 101 + 3*t**3. Give f*b(j) - 6*u(j).\nAnswer: 3*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/(g\/(g*g*g*g*g*g**(-2\/7))))**(2\/29))**29 assuming g is positive.\nAnswer: g**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26)\/4*(-10 + 0).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*q = 7, 61638*k - 61636*k + 2*q = 3*q - 3*q + 5*q - 15 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 3*r + r**2 - 2*r**2. Let q(n) be the second derivative of n**6\/360 + n**3\/3 - 2*n. Let h(a) be the second derivative of q(a). What is d(h(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 18*n**3 + n**3 + 24*n**3.\nAnswer: 7*n**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 + -335. Let j(k) = -k**2 - 14*k - 4. Calculate the least common multiple of j(-10) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*m + 243 = 468 - 240, -2*f + 2*m - 12 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + 6. Let a(o) = o**2 - 3*o + 2. Let j be a(3). Let t(l) = 2*l**2 - 5*l**j + 7*l**2. Give y(t(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + 77. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -6. Let m(u) = r + 2*u**3 + 2*u + 5*u**2 - 2 - u**2. Give m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 1. Let y(l) be the first derivative of l**2 + l - 198. Suppose -s - 3 - 3 = 0. Determine s*y(m) - 5*k(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 101 + 1965*z**2 - 1965*z**2 + 101.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and -326271700?\nAnswer: 326271700.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2156)\/19943)\/((-2)\/37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (490 - 490 - 16*a - 38*a)*(-103 + 18 - 37) to the form h + o*a and give o.\nAnswer: 6588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1\/(-2) + 187\/170\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 19 - 3*q)*(1 + 0 + 0).\nAnswer: -3*q - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224763.\nAnswer: 1224763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31266326 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/4 - 75*h\/2 + 155\/4.\nAnswer: -5*(h - 1)*(h + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2801*b**2. Let x(o) = 7*o**2 + 10. What is x(v(l))?\nAnswer: 54919207*l**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 255\/(-10)*(-61 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01027510624 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 393.1 + -155.7. Let u = s - 237. Put -0.4, u, 0.1, 4 in increasing order.\nAnswer: -0.4, 0.1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Suppose 2*a - 3 = 3. Solve -x = 2*n + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, -4*t + 334 - 93 = -5*d. Let r = d + 41. Sort r, 3, 2 in decreasing order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 162*w**2 + 13 + 0*w + 2*w to the form m*w**2 + k + f*w and give m.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 0, -2887*c = x - 2886*c - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/(-18)*1*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7258169*s**4 + 2*s**2 + 6442344*s wrt s.\nAnswer: -174196056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 13 = -u, -3*u = 2*u - 2*v + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407591506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 393.51 and -0.1.\nAnswer: -39.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, 1, 0.3, 49 in descending order.\nAnswer: 49, 1, 0.3, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(117) + -1 + sqrt(117))*-6 - ((sqrt(468) + 1 + -4)*4*-5)**2.\nAnswer: -190824 + 14328*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {b: 6, o: 5, q: 1, r: 7}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1817 = 5*o + r, -2*r = -o - o + 734. Suppose 0 = 29*h - 31*h + o. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73519498 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/9, -3, 0.5, 0.73 in descending order.\nAnswer: 0.73, 0.5, -2\/9, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 68 = 12*g, -2*d = 4*g + 8 - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.70853961 * 0.3\nAnswer: -0.812561883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**2\/2 - 5. Let y(b) be the second derivative of b**3\/6 - 55*b**2\/2 - 1075*b. Determine d(y(v)).\nAnswer: v - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5661384731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/30 - 293*m**4\/12 - 296*m**3 + 25*m**2 - 41*m - 2. Solve b(x) = 0.\nAnswer: -3, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214*t - t**2 + 455*t - 148*t - 211*t to the form o + b*t**2 + f*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(539) - (5 + sqrt(539) + 1)) + sqrt(539) + -3 + sqrt(539) + 1*(sqrt(539) + -1) + 3*(1 + sqrt(539)))*-4)**2 + -3)*2.\nAnswer: -18816*sqrt(11) + 622490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:53 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let o(y) = 0 + y + 1 + 2. What is -o(i) - 2*v(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126\/((-33)\/396*18)*3\/4\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/5)\/y)*y**3)\/(y\/(y**(-1\/15)*y)*y**(2\/7)) assuming y is positive.\nAnswer: y**(106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, -9.58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 6 = 0, 0*z + 4*z = 4*d - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o - 8760 = 156*o - 78*o for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -2. Let v(x) = 7*x + 6. Let h(y) = 13*y + 11. Let d(o) = j*h(o) - 11*v(o). Let p = 2 + -5. Calculate d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 57*m**3 - 19*m**2 + 61*m**3 + 99*m**2.\nAnswer: -4*m**2*(m - 5)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (31 + -2) - (-808 + 793)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i + 1. Let n be h(1). What is the least common multiple of 17 - 5\/(4 + n) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/84 and (-9)\/(-14) + (-15)\/60.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k - 43 + 140 - 46 - 51.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 57.7. Let k = 57.5 - t. Let s = 20\/11 + -131\/66. What is the closest to 10 in s, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6472*h*j**4 + 2150*h*j**3 + 6778*h - 1497*j**2 wrt j?\nAnswer: 155328*h*j + 12900*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13085*i**2 + 39255*i - 15702. Let v(n) = -n**2 - 5*n + 2. What is k(d) + 7851*v(d)?\nAnswer: 5234*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -29. Let j(w) be the third derivative of -1\/105*w**7 + 0 - 1\/12*w**x + 0*w - 1\/3*w**3 - 2*w**2 - 1\/168*w**8 + 1\/15*w**5 + 1\/30*w**6. Factor j(d).\nAnswer: -2*(d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 36. Let r(l) = l. Let z(x) = -2*r(x) - 2*s(x). What is the first derivative of z(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-58 + 37)) + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**11\/((f\/(f**(-4\/11)*f))\/f*f*f\/(f**1*f)*f))\/((f\/(f**0*f))**(-35)*f**5\/f**(2\/19)) assuming f is positive.\nAnswer: f**(-6695\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1368 and -121\/1551816.\nAnswer: 29484504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -12885684.\nAnswer: 5\/1840812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6582308?\nAnswer: 2, 607, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 33 = -3*w, 3*w - 2*w + 15 = -3*h. Let n(a) = 26*a**2 + 4*a + 1. Let u be n(h). Let f = u - -856. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41667996 divided by 4?\nAnswer: -10416999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56277901 divided by -56277901.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 268?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0081664262 to 6 dps.\nAnswer: 0.008166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/13*7 - (38 - 36). Which is the second smallest value? (a) -1\/3 (b) t (c) -58 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1471328 (base 11) to base 5\nAnswer: -1121114401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6101766973469 + 1.7.\nAnswer: 6101766973470.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1790*g**2 + 3*g - 1. Let a be f(-3). What is a rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5833873*w + 4*w**3 - 5833873*w - 46*w**4 - 4 + (-1 - 2*w + 1)*(-3 + w**3 + 3) - 3*w**4 + 2*w**4 + 0*w**4.\nAnswer: -49*w**4 + 4*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4356)\/60)\/(1875\/(-3125)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(51 - (-1083331)\/(-21244)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 4*x + 7. Let r be m(-5). Suppose -a - r*a = 27. Is (-25)\/15*a*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-450)\/12)\/(-5)*32\/(-6). Calculate the common denominator of -57\/7 and (-22)\/8*16\/u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 84*o**2 - 15. Let f(d) = 12*d**2 - 2. Give 15*f(i) - 2*q(i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/60 + 336\/945.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8479987 to the nearest integer?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.5, 1, -3\/5 in descending order.\nAnswer: 5, 1.5, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -337*a - 3799. Give s(-11).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 11*d**2 - 6*d - 9. Let k(r) = r**3 - r**2. Let n(v) = 3*k(v) - l(v). Let z(a) = a**2 + 20*a - 28. Let s be z(-21). Give n(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14739 from -1.9821604161.\nAnswer: -2.1295504161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114.1 + 111. Let s = f - -3.2. Let b = 95\/189 + -2\/27. Is b less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 41*g + 31. Let i(q) = q + 1. Let k(m) = 4*i(m) - o(m). Let a be k(-3). Calculate the highest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 5. Let s be i(5). Let c(t) = -t**3 - t**2 - 2*t + 19. Let x be c(s). Suppose 0 = 14*r - x*r - 65. Let n(o) = o + 11. Calculate n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 73067906 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - -1995. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = -r + 6*r, 17 = g + 3*r. Suppose 3*i = g*i - 4*w - 9217, 3*i - 5511 = -4*w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let v(g) = g**3 - g**2 + 1. Let t(i) = 18*i**3 - 24*i**2. Let k(p) = t(p) - 24*v(p). Let m(c) be the first derivative of k(c). Give m(o(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f + 2. Let b(i) = -i**3 + 5*i**2 - i - 7. Let d(h) = -b(h) - 2*q(h). Calculate d(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4655350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/3)*((x**(-1\/14)*x*x)\/x)\/x)\/(x\/((x**(1\/2)\/x)\/x)*x**(-4)))**(1\/65))**(-5\/3) assuming x is positive.\nAnswer: x**(-37\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3\/202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 1. Let i be a(2). Suppose 2 = -x + i. Find the second derivative of -r + 2*r**3 + 3*r**2 - x*r**2 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 61*h**7\/840 + h**5\/120 - 11*h**3\/6 + 10*h**2. Let m(d) be the first derivative of l(d). What is the tens digit of m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1.3. Let f = 67 - 119. Let x be (-2)\/13 + 31\/f. Put k, x, -1 in ascending order.\nAnswer: -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -690 divided by 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let l(c) = 5*c - 2. Let t(h) = -f(h) + l(h). What is the units digit of t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5135)\/(-1185))\/((-13)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13438853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 + 5*h**2 - h**2 - 3 + 2*h**2. Let g(n) = 5*n**2 - 5. Let v(z) = -5*c(z) + 3*g(z). Let a(f) = -7*f. Calculate v(a(s)).\nAnswer: 245*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34215067 to the nearest integer?\nAnswer: 5849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 - c - 4. Let l be x(-5). Let m = -2 + 4. Let w(f) = -3*f + f + 1 - f**m + 4*f**2. Determine w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:06 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -658 - 10*z**4 - 4*z**3 + 66*z**4 + 657 in the form o*z**2 + d + q*z**3 + m*z**4 + j*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5338014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 81. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.13, -17\/5.\nAnswer: -17\/5, -0.2, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34204 - b**2 - 114*b**4 + 2*b**2 - 34145 wrt b?\nAnswer: -2736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8042 (b) -3 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1, 5, 0.11, -0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -4, 0.02, 18, -58?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2.2, -8.\nAnswer: -8, -4, -2.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670417.2 micrograms in milligrams?\nAnswer: 670.4172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 3*g + 6. Let q be l(-4). Let m be 22\/6 + q\/(-15). Let m*c**5 + c**4 - c**4 + 10*c**3 - 13*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243 and 33?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405750537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -475\/6 + 79. What is the closest to 1 in -0.5, 7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3 and -167\/286356.\nAnswer: 286356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5636080 and 91\/500.\nAnswer: 140902000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 35*d**4\/4 - 532*d + 2. Let l(i) be the second derivative of -i**3\/3 + i. Calculate k(l(p)).\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461582105 divided by -340651.\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 16) + (-9 - -2) + 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l + 1. Let z be c(-2). Let u = 60 + -33. What is the greatest common divisor of z and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2121, -1552, -16771, -49308, -104935, -189424, -308547?\n\"Answer: -962*x**3 - x**2 + 3064*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 397 in 2\/3, -5\/3, 0.1, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -508259*c**4 - 2366100*c + 2?\nAnswer: -6099108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 340 - 370. Factor -r*p**2 + 0 + 3\/5*p**3 + 15*p.\nAnswer: 3*p*(p - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 9*u - 9. Let f = 23 + 2. Calculate the remainder when f is divided by h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*f*w**2 - 908*f*w + 59538*w**2 wrt f?\nAnswer: 38*w**2 - 908*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87 and 36.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -46. Let a = -53 - -80. Suppose 0 = j + 2*j - a. Calculate the lowest common multiple of j and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5240718*u**2 + 3992132*u wrt u?\nAnswer: -10481436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:10 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-2 + 11)) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -2, -1, -4, -552.\nAnswer: -552, -5, -4, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4607, 4710, 4813, 4916?\nAnswer: 5019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - 13*g)*(-2 + 1 + 3) - 6*g + 3*g + 0*g + 0*g - 3*g + g + 5*g - 5*g + 2*g + (0*g - g - g)*(-3 - 3 + 4).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3159 + 724\/34749. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 2*h**4 + 6*h**4 + (49 + 142 + 59)*(h**4 + 1 - 1) + (0*h**4 + 4*h**4 - 2*h**4)*(2 - 3 - 1).\nAnswer: 254*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*13\/650*1175\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 2. Suppose -5*i + 6 = 2*c - 4*i, c - r = -i. What is the greatest common divisor of c and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + 4 - (0 + (sqrt(11) - sqrt(275))).\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddgdddgdddggddddgddd?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 3, x: 1, r: 3, u: 5}. What is prob of sequence ce?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 108*p + 108*p)*(1 - 1 + 14*p) - 1 + 2*p**3 + 1.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 4*y + 11, 7*t - 1 = 3*y - 5*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:12 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 3*l - 16. Let i be f(4). Solve 0 = i*v - 1644 + 1648 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211*h*x**3 + 40*x**3 wrt h.\nAnswer: 211*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 164611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -77, -79, -83, -89, -97?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -4, 211 in decreasing order.\nAnswer: 211, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 11) to base 9\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 245490 and 16?\nAnswer: 1963920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Find the third derivative of -3*w**2 + 4*w**4 - w**4 + 0*w + l*w wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-5))\/((-26)\/(-65)). Let a(m) = m**3 + 10*m**2 + 3*m - 7. List the prime factors of a(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -12\/11 (c) 45 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.936 * -347.5\nAnswer: -672.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123 + -2 + (11 - 13). Suppose -565 - 15 = 5*h. Let d = h + a. Solve 2*q - d = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -54, -69, -84, -99?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/8)\/(-3)*-8. Let z(n) = -6*n - 20. Let a be z(x). Solve 0 = -a*c - p + 1, 0 = 5*p - p + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.04. Let x be 7\/(-3) + (-8)\/12. Let t = 0.37 + -1.37. Which is the third biggest value? (a) x (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 5*y**3 + 5*y**3 + 3)*(2 - 1 + 0)*(26 - 26 + 6*y)*(-4 - 2 + 0).\nAnswer: 72*y**4 - 108*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 6*j - 1. Let x = 34 - 39. Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/108 - (1 + -1). Let p(h) be the second derivative of -1\/135*h**6 + 1\/45*h**5 + 0 + 0*h**3 - n*h**4 - 2*h + 0*h**2. Determine b, given that p(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 67*l**2 - 2*l - 11. List the prime factors of r(7).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.67 - 32.67. What is the second smallest value in k, 0.046, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - l**2 + 2*l - 2. Let c be i(-2). Let b(u) = -u**2 + 5*u - 6. What is b(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9243*o - 5049*o - 5027*o - 2068 wrt o?\nAnswer: -833","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 8:51 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1300\/11 + 118. Let l = -13 - -13.3. Let v = l - -0.7. What is the biggest value in n, -8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzswzzzwwwwwwbwwz. Give prob of sequence sw.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -k + 39, 0 = -0*a + a + 5*k + 3. Let q be (-102)\/187 - 129359988\/a. Round q to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 26 - 14 = -3*p, 3*p - 32 = 2*a. Suppose -44 = -3*d - p. Solve 0 = 2*y - 5*f + d, 2*y + 8 = 5*y - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + 1030201?\nAnswer: 1030012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4702701 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.4 + -213. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 15. What is the lowest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -30*y + 15. Let t(z) = -z + 1. Let k(u) = -3*u + 3. Let b(r) = k(r) - 2*t(r). Let g(w) = -30*b(w) + 2*f(w). Let x(d) = -d. Give g(x(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37 + 3\/(-2 + (-15)\/(-6)). Solve 5*f + 5*o + 40 = 0, -4*o = 5*f + b - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503761 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5. Let d be j(3). Put -4\/5, -2, 1\/7, d in increasing order.\nAnswer: d, -2, -4\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22222312322 (base 4) in base 8?\nAnswer: -12526672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8071070*g*w**2 - 87*g*w + 4*g + 2*w + 8425 wrt w?\nAnswer: -16142140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11918 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 935 - 936. Which is the closest to 1? (a) h (b) 18\/17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*h. Let b = -3 - h. Let c be (2\/b)\/(1\/(-10)). Solve 0 = -q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*s = 70 + 152 + 51 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189261 divided by 7.\nAnswer: 189261\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-25)\/(-6))*3510\/(-81). Suppose 4*t - x = 4*s + 8, 3*t - 2*s = 48. Calculate the remainder when 125 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 1. Suppose 3*g - 10 = 2*g. Suppose g = -z - 1. Let o = 6 + z. Let v(w) = -w. Calculate o*v(m) + u(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 87. Let o = 26.9 + -24.9. Which is the third biggest value? (a) -18 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n + 479. Let s(z) = -z**2. Determine d(s(j)).\nAnswer: j**4 - 3*j**2 + 479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/105 and 85\/155528?\nAnswer: 16330440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 3, r: 1, o: 2, z: 3, n: 1}. What is prob of sequence znzz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 232752 = -103758. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31693 by 18.\nAnswer: 31693\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -18*b + 29. Determine f(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247907053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27560556, 55121120, 82681688, 110242260, 137802836?\n\"Answer: 2*l**2 + 27560558*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 52 = -5*h. Let r(v) = 1 - 1 - h*v + 33*v. Let x(o) = -3*o. Determine r(x(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 384529 plus 3?\nAnswer: 384532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7349*l - 14699*l + 39*l**3 + 7348*l.\nAnswer: 39*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/115 + 46*2\/(-80). Which is the closest to -1? (a) -1 (b) v (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j + 5*d - 83, 113 = 4*j - d. Let f = 39 - j. Calculate the remainder when 22 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 107. Let r = 20 - c. Let w = r + -44. What is the second smallest value in w, 0.17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (2 + -1 + (-64 - -69)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let j(m) = 7. Let g(f) = -8. Let s(d) = -6*g(d) - 7*j(d). Let r(w) = -w + 3. Let c(t) = -2*r(t) - 6*s(t). Give q(c(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 4*i - 102. What is the tens digit of (-59 + 1)*(0 + (-57)\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x)*(-6*x**3 + 4*x**3 + 5*x**3).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (1 + 4) - -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 550038.5 nanograms in milligrams?\nAnswer: 0.5500385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8907265 - 8907265 - 8070*t**2 + 8221*t**2.\nAnswer: 151*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.1916 to 1 dp.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1) + (7 - 2). Suppose -10*c - 5 = -11*c, 0 = 2*b + 3*c - 169. What is the highest common divisor of b and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1823, -3664, -5515, -7382, -9271, -11188?\n\"Answer: -h**3 + h**2 - 1837*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 1\/2*h**4 - 5 + 2\/3*h**3 + 3\/2*h**2 + 3*h. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/((-5)\/15). Suppose 1 = -r*x + 49. Solve 3*s = 5*y - s - 23, x = 4*y - 2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -203*i - 5071. Let o be a(-25). Solve 12*t - 9*t = 3*q - 18, -o*q = 10*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 - 35\/(-10))*1. Let h be (-14)\/(-42)*(2 + y). Solve -3*d + 5*j - 18 = h, d + 3*j - 13 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/16)\/(j**(8\/3)*j) assuming j is positive.\nAnswer: j**(-179\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24 = 5*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806 and 4498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-59 - -61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/(q*(q**(-1\/37)*q*q)\/q)*q*(q\/((q\/(q\/(q*q*q\/(q*(q\/(q**(-14\/11)\/q))\/q)*q*q*q))*q)\/q))\/q assuming q is positive.\nAnswer: q**(-285\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:53 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*p - 4*x - 420, 61*p - 61*p = -2*x for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6 + (2 - 4). Let h be 460967\/v - 2\/(-8). Suppose -5*y + 214015 = 2*a, -3*a - h + 436239 = -y. What is a rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 54) + (1 - (1 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 + -166. Suppose 0 = k - 3*k + y, 17 = -5*c + 3*k. What is the second smallest value in -0.9, -0.1, c, -0.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:08 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 + 21*r**2 - 83*r - 97. Let x(m) = 3*m**3 - 7*m**2 + 28*m + 32. Let g(p) = -4*o(p) - 11*x(p). Is g(-11) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513554195.\nAnswer: 3, 5, 8737, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303233 - -3?\nAnswer: 303241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1046, 2090, 3134, 4178, 5222?\n\"Answer: 1044*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**2 + 3*i - 6. Suppose 16 - 4 = -2*a + 24. Let h(g) = -g**2 - 1. Calculate a*h(m) - b(m).\nAnswer: 4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 428\/12 + (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t - 10*t + 17*t. Let w(n) = 15*n**2 - 13*n. Let k(x) = 7*x**2 - 7*x. Let g(r) = 5*k(r) - 2*w(r). Determine g(p(f)).\nAnswer: 20*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49\/10 in -6, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5530)\/(-20))\/(5\/2 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtbqbqbtb. What is prob of picking 3 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/7 and 14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 + 96*q**3 + 416*q**2 - 1536*q - 6400 = 0.\nAnswer: -4, 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2718, 2698, 2668, 2628, 2578, 2518, 2448?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524939.\nAnswer: 3, 13, 61, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3997927 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -46*h - 76. What is the hundreds digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012010 (base 3) to base 13.\nAnswer: -109b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -9. Let w be (-1 + 1 - 1)*r. Let h = w - -4. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 124 - 269 + 10*l - 4*l**2 + 147 in the form z*l + c + u*l**3 + t*l**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3 + 3 + 0*n**2 - 3*n**2 - n - 4*n + n**3. Let r be h(5). Let i = r - 14. Do 1\/3 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(2057) + 1)*4)**2*6.\nAnswer: 50688*sqrt(17) + 4741632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 9 = 18*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -209*p + 5897. Give u(14).\nAnswer: 2971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12954, 25997, 39040, 52083, 65126, 78169?\n\"Answer: 13043*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-12)*(-1)\/5. Suppose -78 + 24 = -9*l. Suppose 0 = -l*b - 28 + 34. What is the closest to b in 10, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -4)\/((-39)\/65) - (-12)\/(-225)*186.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 3*k + 18 = -4*s, 0 = 3*s + 5*k + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 183100 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2328 and 1152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 662567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*g - 23 + 35 = 0, -4*g + 38 = 2*k. Let c = -1 - -4. Solve 0 = 4*q + c*j - 13, 1 = -2*q + 4*j - k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*y - 144. Is 3*(-30)\/y + 5082 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (18\/(-45) - -3))\/(2\/20).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6113556 to 2 dps.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106 is divided by 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2676174 smaller than -2676177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*n = 4*o + 21, 0 = 5*n + 5*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 96, 321, 744, 1425, 2424?\nAnswer: 3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 445, 981, 1727, 2683, 3849, 5225?\nAnswer: 6811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14858777 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.4, -0.109, -0.4?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25070971 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5636*h**5 - 3*h**4 + 9*h**2 - 3038020*h.\nAnswer: 112720*h**3 - 36*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*n - 8, -2*l = -2*n - 4*l - 8. Let b(u) = -2*u**3 + 2*u**2 + u + 2. Let v(g) = -2*g**3 + 3*g**2 + g + 3. Calculate n*v(h) + 3*b(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-14) + (-502)\/4. Let n = 182 + b. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 322. Let f be -6 + 6 + (-15)\/3 + 59. Let k be u(f). Suppose 12\/5 + 3\/5*o**k - 12\/5*o = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(7\/3)*h*h)\/h*h*(h\/h**6)\/h)\/(h\/h**(-3))**(-6))**40 assuming h is positive.\nAnswer: h**(2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -101. Let c = 78 - z. Sort -4, 9, c.\nAnswer: -4, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 532 - 535. What are the prime factors of (-2)\/6*7902\/x?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480316 (base 9) in base 16?\nAnswer: 468ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1\/2058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j - 2*u, j - 6*j + 31 = u. Calculate the remainder when 27 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*l - 1858 + 258 - 3825 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (19 - 11) - (0 + 13)) + -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:26 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + s**3 + 0 + 4 + 65*s**2 + 22*s**2 + 1 in the form v + i*s**2 + q*s**3 + c*s and give i.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*b - 0 + 181, 4*b - 299 = -5*t. What is the least common multiple of t and 1572?\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6003654.\nAnswer: 2, 3, 1000609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 1. Let w(x) = x**3 - 4*x**2 + 3*x + 4. Let c be w(3). Suppose 4 = -c*f - 0. What is the units digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 935 + -768. Calculate the remainder when t is divided by 51.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.678352 + 11.\nAnswer: 38.678352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-3*z + z + 0*z + (-3 + 0 + 2)*(z + 0*z + z)) as t + a*z and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5690 - -5703. Solve 0 = -3*q + 5*l + 12, 5*l + w = 4*q - 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 + 2)*2\/(-5). Let y be 21\/s*(-16)\/(-14). Suppose 0 = y*l + 4*c - 192, l - 134 = -2*l - c. What is the remainder when l is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.065 - 0.011. Let t = -1.107 + 1.1543. Let k = t - g. Round k to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 0)*(20 - 49 - 422*k + 29) to w*k + m and give w.\nAnswer: 1688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2073*h - 12470. Give c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6 + 16*w**3 - 3 + 0 - 5*w**3 + 1. Let q = -24 - -16. Let v(g) = 4*g**3 - 3. Determine q*v(n) + 3*c(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 911121 and 911110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-362)\/(-543))\/((-4)\/(-288))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001028897311 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a. Let t(k) = -3*k + 449. What is g(t(z))?\nAnswer: 6*z - 898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 0.027, 18, -2, 10\/9 in ascending order.\nAnswer: -5, -2, 0.027, 0.3, 10\/9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from eeieiie.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831988 (base 10) to base 13.\nAnswer: -231901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6889*v**4 + 3*v**3 + 1146287*v**2 wrt v.\nAnswer: -165336*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3375*h**4 - 292480200*h**3 - 58496130*h**2 - 3899744*h - 86661.\nAnswer: (h - 86661)*(15*h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -106 - 704. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - x)*(-357 - 10*x + 357) + 65*x**2 - 220*x**2 + 117*x**2.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, -1, -89, -5, -2, 12 in descending order.\nAnswer: 22, 12, -1, -2, -4, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 n when four letters picked without replacement from {n: 6, c: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-10)*-6 - 38. Let j be (-217)\/d + (-1)\/5. What is the units digit of 2093\/26 + j\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24423.6662 rounded to the nearest ten?\nAnswer: -24420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 0.4, -0.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4121, 2, -3, -5, 5 in ascending order.\nAnswer: -4121, -5, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30712? (a) 8 (b) 0.5 (c) -2 (d) 3\/2 (e) -1\/2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216496524817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwhh. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -728.856 - -727. Do q and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*8.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from qzgqooqonqooggmgq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5098 + -5092. Let d = -0.1 - -0.05. Is d less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 870*h**2 + 75305*h + 154050.\nAnswer: -5*(h - 65)*(h + 2)*(h + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j - 40*j + 66 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 46818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113376 = -116*i + 111*i + 3*t, -90717 = -4*i - 3*t. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3559 - 775. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/3 - (-183 - 1). What is d in 2613*d**4 + 477 - 468*d**2 - 495 - 501*d**4 - k*d + 432*d**3 = 0?\nAnswer: -1\/4, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + -1 + (sqrt(91)\/sqrt(7) + -4)**2)*-5 + -5*((sqrt(208) + -2)**2 + 2 + sqrt(208) + 5).\nAnswer: -1230 + 95*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 5. Let a be m(-4). Let u be 12*(-2)\/(-3) - a. Suppose 0 = 284*q + 61*q - 4170 + 1755. Is q at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + x + 19 = -x, -3*d + x + 14 = 0. Let i be d\/2*3 + -3. Factor 1\/2*y**2 + 3\/2*y**3 - i*y - 1\/2.\nAnswer: (y - 1)*(y + 1)*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688995 is divided by 14061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 376709 - -3?\nAnswer: 37670c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*v - 537*v + 1186*v = -1197*v + 93093 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -26095 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 18*c + 22. Let g = -2801 - -2815. Determine b(g).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 112*j + 1784. Let i be c(13). Let z(g) = g**3 + 7*g**2 - 23*g - 21. Give z(i).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o + 15 + 189 = -434 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -403 or -8?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13051 = -65*u + 60956. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 20 (c) 8971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1158504 to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c*c)\/(c\/c**(-4))*c**(2\/7)*c*c*c*c**(-4)*c assuming c is positive.\nAnswer: c**(-144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/1728*-8)\/((-1)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 259 = -17*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from obooblbusu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 + 24 = -56*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.55 - 0.65. Let v = -5.8226 - -8.8226. Which is the biggest value? (a) v (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1214.\nAnswer: 242.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (850\/15)\/17*(-12)\/(-10). Let w(a) be the second derivative of 1\/90*a**p + 4\/15*a**2 + 8*a + 4\/45*a**3 + 0. Factor w(z).\nAnswer: 2*(z + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8 + 1398*h**2 - 1388*h**2 + 8*h + h + 1483*h**3. Let f be s(8). What is f rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 966936459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-144)\/162 - (-1 + 0). Which is the closest to 2? (a) m (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -3198, -7198, -12798, -19998, -28798?\nAnswer: -39198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4\/4 - 7*g**3\/3 + 6*g**2 + 6*g + 7. What is the remainder when i(-9) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-507834)\/(-115) - -2 - (-4 + 5). Let y = m + -4417. Is 1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/4001299?\nAnswer: -2\/4001299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243 - 232. What is the highest common factor of 154 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 36. Let c = m + 66. Suppose 4*b - 8 = 60. What is the remainder when c is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 = 8*x + 129. Let l = x - 79. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 259\/(2 - -5). Let h = -41 - -7. Let v be ((-7)\/14)\/(1\/h). What is the greatest common factor of z and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*u - 16, 3*u + 23 = 5*a + 2*u. Let v(n) = -5*n + 2 + a*n - 22*n - 1. What are the prime factors of v(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -254, -257, -262?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((((r**(-1)\/r)\/r)\/r)\/r))**(-33)*r**(-3)*r\/(r*r\/r**(-1)*r) assuming r is positive.\nAnswer: r**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + sqrt(243) + sqrt(243))**2*6 + 1 + (-1*sqrt(243) - sqrt(243))) + 3 + ((-4*sqrt(192))**2 - sqrt(3)) + sqrt(162)\/sqrt(6).\nAnswer: -700*sqrt(3) + 20592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1428096, -2856210, -4284342, -5712492, -7140660?\nAnswer: -8568846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 116 = 3*d + 5*m, -10*d = -3*m + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m. Let x(h) be the third derivative of -162*h**2 + 0 + 0*h**3 + 0*h**4 - 1\/3*h**5 + 0*h. Calculate b(x(w)).\nAnswer: -160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171954076.7999919 - 171954069. Let k = 7.796 + 0.004. Let t = w - k. Round t to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpsrrssr. What is prob of picking 1 s, 1 p, and 1 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 42 = 5*c, o - 6*o + 50 = 3*c. Calculate the remainder when 24 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66497*i**2 - 4354*i - 2 wrt i?\nAnswer: -132994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31119069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2316386757782 - 2316388133511.4700056. Let j = 1375730 + p. Let l = j + -0.53. Round l to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*b + 2*j, 6*b + 10*j - 9*j = -37 + 75 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/156 - (8 + -10))\/((-2)\/9)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/140 - t**6\/720 + t**5\/60 - 3*t**4\/8 + 4*t**2. Let l(b) be the second derivative of c(b). Does 19 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 356.8 + -356.4. What is the closest to 1 in p, 2.3, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.544311923 to 1 decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaattt. What is prob of picking 3 a and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980000689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 15*c + 8*c + 9*c.\nAnswer: 2*c + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-3)\/24). Let u = -6 + i. Let n(l) = 4*l**3 + 3*l**2. Calculate n(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.63*-11.999.\nAnswer: -595.51037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiqqqyyywyyqddq. Give prob of picking 1 y and 2 d.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40332\/8 - ((-3)\/6 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 - -0.09. Let x = 0.6 + u. Let i = -0.041 - -4.041. Which is the closest to x? (a) -5 (b) i (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + -10. Let b = -17 - h. Let p = b - 13.000031. Round p to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1886\/117855 + 2\/4365. Let g be (-446)\/(-81)*16\/6. Let p = l - g. What is the common denominator of p and 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35098395 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2111320202023 - 3?\nAnswer: -2111320202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -6 - (-6 + 3) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46740505?\nAnswer: 5, 7, 569, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) 23 (d) 1 (e) 3384\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = -4*y, 2*a - 3*y - 2 = -8. Let b = 2\/90235 - -31311533\/541410. Let i = -59 + b. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 473 + -3026?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108158, -216320, -324482, -432644?\nAnswer: -540806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002881803676 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 2*t - 4. Let i be a(-2). What is the closest to i in 17, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.0779 + 1.7779. What is the fifth biggest value in -2\/19, q, -160, 0, 5?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(-608 + 59*o + 608) + 2*o - 2*o - o**2 + 4*o - 2*o**2 - 4*o + (-5*o + 3*o + o)*(0*o - o - o) + 2*o**2 + o - o.\nAnswer: 119*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxsui. What is prob of sequence xs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348329279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = c, 8*c + 34 = 4*c + 2*v. Let i = c - -12. Let l = -6 + 13. Calculate the greatest common factor of i and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0294334l to millilitres.\nAnswer: 29.4334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a factor of 61310181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/9 + 2168*r\/9 + 11290 = 0. What is r?\nAnswer: -45, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 18. Let v = -3 - -2. Sort v, 0.4, q in decreasing order.\nAnswer: q, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-8) + 3\/(-12). Suppose -29 + 4 = -5*a. Sort c, a, 1 in descending order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36 (b) -0.4 (c) 0.26 (d) -1\/2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*p - 9, 60 = 5*t - t + 4*p. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 198*x - 1978. Let y be a(10). Let c(l) be the second derivative of 0*l**y + 1\/40*l**5 - 1\/4*l**4 + 0 + 3\/4*l**3 - 6*l. Solve c(b) = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 76 = -6*x, 18*x - 4*z + 147 = -0*z + 13 - 90 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/2 - 29*v**4\/2 + 29*v**3 + 1362*v**2 - 1404*v - 7776 = 0.\nAnswer: -8, -2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 14 - 10) + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.13, -3, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - (-55)\/20. Suppose -5*q = -6*q + 3. Suppose 2*n = -b*c + 6, -q*c = 2*c. Solve 5 = n*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28*(-6)\/(-4) + 3. Suppose -5*j = -0*j - h. Calculate the highest common divisor of j and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5376 and -143\/10752.\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014442 to 7 decimal places.\nAnswer: 0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r - 708 = -42*r. Suppose -55*z = -43*z - r. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -20, -44, -78, -122?\n\"Answer: -5*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -86*l - 13. Let d(g) be the third derivative of -g**5\/60 - 1856*g**2. What is d(y(x))?\nAnswer: -7396*x**2 - 2236*x - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 585720403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22892078 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10746 + 10748. Solve 0 = 2*s + 2*i - 16, -5*s - c*i = -16 - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c5 + -37b1?\nAnswer: -36ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35186786581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 81*x - 82*x + 2*d, 4*x - d = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, -2\/3, 0.1, -1923, 0.3, 0.08?\nAnswer: -1923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208344456?\nAnswer: 2, 3, 827, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 578982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 3.1. Sort 4\/3, y, -2 in ascending order.\nAnswer: -2, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let n be 5 + (-3244)\/624 + (-96)\/1872. Sort n, s, 8 in decreasing order.\nAnswer: 8, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43270 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-4*3 - sqrt(1331))**2 + sqrt(1331) + sqrt(33)\/(sqrt(27)*1).\nAnswer: 34*sqrt(11)\/3 + 224939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -25, -43, -65, -91?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 2*s - 5*s - 1263*s**2 + 1259*s**2 - 7 + s**3. Give o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*f = 562*f - 104*f - 20533100. List the prime factors of f.\nAnswer: 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27419767 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y\/(y**(-1\/2)*y)))*y**15 assuming y is positive.\nAnswer: y**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 4, a: 1, b: 2, m: 4, r: 2}. What is prob of picking 1 r and 2 m?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45261 in 3, -0.08, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/4 - 3\/2. Let a = 81.5 + -81. What is the closest to o in -7, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45124.9 + -45125. Let y be ((9\/3)\/3)\/1. Let t be (y - 2) + (-14)\/(-12). Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.904 - -0.694. Let n = 0.21 + s. What is the closest to -1\/2 in -1.2, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*m + 59. Let i be 1\/(m\/(-6)*(-3)\/(-2)). Solve i*n + 5*d = 2*n, 3*n + 13 = -d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 19834*c + 338044. Determine s(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*n - s + 41, 0 = n - 4*s - 35. Which is smaller: n or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 2*b - 13. Let k be g(-7). Let p = k - 6. Differentiate -68*n**3 + 20*n**3 - p + 32*n**3 wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (39\/(-5))\/((-555)\/17575)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34956989.\nAnswer: 4909, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*t - 2*u, -4*t + 118 = 5*u + 73 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 945 - 59?\nAnswer: 8b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -143 in decreasing order.\nAnswer: 28, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15680105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11323, 22659, 33995, 45331?\n\"Answer: 11336*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyygyyyyyyyyyyyy. What is prob of sequence yg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 18*g + 1. Let m be z(18). Let p = 3403 + -626151\/184. Is p less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401*g = 1448*g - 752 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 713360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5*g + 1. Let y be f(4). Let v(a) = a**3 - 4*a**2 - a - 5. What is the tens digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(15\/4))\/i)**(-48)*i\/(i*i**(2\/57))*i**(-4\/27) assuming i is positive.\nAnswer: i**(92246\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000100000101 (base 2) in base 9?\nAnswer: -43617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*s - 9, 0 = c + 2*c + 3. Let j be 1*(-3)\/(-3) - s. Sort 5, -3, j in increasing order.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68937\/10 - 6902. Let x = -182\/491 + 10356210\/5401. Let j = -1915 + x. What is the common denominator of j and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {h: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 4}. What is prob of sequence gsgs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140659\/28 - -5023. Let i = 163\/140 - j. Calculate the common denominator of i and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000286 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -3. Let c(n) = -n**3 + 7*n**2 + n - 10. Determine c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p + 96*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*6\/(-2) + 2. Let q = 1 + j. What is the units digit of 2*q\/(-6) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63095 is divided by 31544.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4993045 by -47.\nAnswer: 106235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/70*15\/(-9)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - 2. Let p be b(1). Suppose 0 = -6*m + p*m + 138. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5773569123 + 5773568558.9557561. Let f = 515.044247 + m. Let p = f + 49. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/7)\/(-9 + 4). Solve 61*l - 58*l - 12 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 36 = -9*k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.69 + 170.1.\nAnswer: 170.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 228*d - 6. What is the hundreds digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 0.0397?\nAnswer: -0.004764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-28))\/((9\/10)\/(27\/(-45)))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuutxtptxpt. What is prob of picking 1 t and 1 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 - 85*u + 288. Let z(h) = h**2 + 30*h - 97. Let d(m) = -6*x(m) - 17*z(m). Let f(r) = -5*r. What is d(f(i))?\nAnswer: 25*i**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -14*b**5 + 228*b**4 - 610*b**3 + 100*b**2 + 744*b - 208 = 0.\nAnswer: -1, 2\/7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 74*h**2 + 69*h**2 + 42*h**2)*(4*h - 4*h + h) as c*h + q*h**3 + i*h**2 + n and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 610\/(-6832)*12\/(-5)*1?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4687626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/3 + 522095*n\/3 + 2610350\/3.\nAnswer: 5*(n + 5)*(n + 104414)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 488, 525, 562, 599, 636?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(-5\/6)*o)*o**3*o*o\/o**(1\/4)*o**(-9)*o*((o\/(o*o**(-5)))**(-1\/13))**(-21\/8) assuming o is positive.\nAnswer: o**(-127\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {h: 1, k: 2, a: 7, g: 6, y: 1, s: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*p - 72 - 29 - 109 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285049947 is divided by 391.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32861699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1548, 1550, 1552, 1554, 1556?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/(sqrt(12)*2))\/sqrt(3).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -317.\nAnswer: 158\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2493824 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (25 - 28)\/((-6)\/52*1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*g + 561 = 0, -2*g - 14 - 208 = -2*i. Let q be 3 + (-183)\/i - (-9)\/(-6). Which is the fourth biggest value? (a) 2\/11 (b) -1 (c) q (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1693 divided by -6406.\nAnswer: 1693\/6406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((176\/(-6))\/(-4))\/(1551\/4653)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78662 and 14344?\nAnswer: 564163864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -557*y**6\/40 - y**5\/60 - 2341*y**4\/24 - 3908*y**2. What is the second derivative of k(p) wrt p?\nAnswer: -10026*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, j: 2, m: 4, w: 5}. What is prob of sequence gmwg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:08 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 92.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (7 + -13 - (-3 + 0))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c + 1 + 0*c**2 + 5\/3*c**3. Let u(f) = 8173 - f**2 - 3*f**2 - 4090 - 4083. Calculate p(u(j)).\nAnswer: 80*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 30*o + 3161. Give w(-105).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3\/7 - 1440*l**2\/7 + 5400*l.\nAnswer: 6*l*(l - 210)*(l - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.58 + 0.42. Let v = 23.2 - b. Which is bigger: 2\/5 or v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 12020002221?\nAnswer: -12020002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = 0, 9 = 5*o + n - 2*n. Is o equal to 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 2 + 7)*(12576115 - -3). Suppose g = -10819410 - o. What is g rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + (-1*sqrt(19))**2)*-6 + -2*sqrt(19) + sqrt(19) + 1)*5 + (((sqrt(684) - (-1 + sqrt(684))) + sqrt(684))*-4)**2*-2)*1.\nAnswer: -22485 - 419*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 44018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1012*n + 2168. What are the prime factors of x(29)?\nAnswer: 2, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3030, -1, 7 in decreasing order.\nAnswer: 3030, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 23. What is the remainder when 85 is divided by (-124)\/(-8) + 6 - (-2)\/i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2831 - 858*h**4 + 11*h**2 + 31*h**4 + 20*h**2 - 31*h**2 wrt h?\nAnswer: -3308*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let b(k) = -9*k**2 - 2*k + 2. Let q(s) = -143*s**2 - 33*s + 33. Let i(o) = 33*b(o) - 2*q(o). Determine i(r(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 36740*d - 514176. Give t(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142605464 by 35651366.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306\/5*j - 14\/5*j**2 - 372\/5 = 0.\nAnswer: 2\/7, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 3. Let b = g - 5. Suppose -b*p + 2 = -23, 3*x + 5*p - 46 = 0. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.19956 + -6.2. 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: Which is the closest to 27? (a) -2 (b) -11845 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.5 + 52. Let d = 147.5 + m. Let w = d - 135.00061. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 212708*b*i*p**3 + 1760*b*p - i*p**3 + 363*p**3 wrt i?\nAnswer: 212708*b*p**3 - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 1400 = 68*b - 3*q - 1736, 5*b - 13 = 3*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2897*f. Let u(i) = 6*i**2 + 8*i + 8. Let o(t) = 46*t**2 + 62*t + 62. Let k(h) = -4*o(h) + 31*u(h). Give a(k(z)).\nAnswer: 5794*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**2\/2 - 4783*f\/4 + 156415\/4 = 0?\nAnswer: 205\/6, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*g + 9 = 3*d + 1208*g, -6 = -2*d + g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34387\/33 - 1042. Which is the nearest to 1\/5? (a) 2\/13 (b) 0.1 (c) 0.2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592745627 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114\/(-190) + 1571\/85. Is o at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h - 1\/15*h**6 + 0*h**4 + 0*h**3 + 0*h**2 + 1\/10*h**5 + 0. Determine c so that r(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1915 divided by 8.\nAnswer: -1915\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12771*w**3*z + w**3 - w**2 - 6*w*z - 203976*w - z wrt z?\nAnswer: 12771*w**3 - 6*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/8)\/(99\/22 - 3). Let f(o) be the first derivative of 3*o - 9 - p*o**2. Let m(q) = q**2 + 4*q - 4. Give 4*f(c) + 3*m(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 3, i: 1, p: 1, q: 3, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2.38 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eacc (base 16) in base 14?\nAnswer: 17c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.051? (a) -2 (b) 2\/31 (c) -2261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**4 - 499*z**3 + 475*z**2 + 494*z - 497. Let q(l) = -3*l**4 + 748*l**3 - 714*l**2 - 741*l + 745. Let m(d) = 7*j(d) + 5*q(d). Factor m(r).\nAnswer: -(r - 246)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*((sqrt(4032) - sqrt(4032)*1) + sqrt(4032))*2 + -5)**2.\nAnswer: 2400*sqrt(7) + 403225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 457, 2\/13, 2\/87 in increasing order.\nAnswer: 2\/87, 2\/13, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*((5*(-1*-1*sqrt(363) - sqrt(363)) + -1)*-2)**2)*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -467*q**3 + 8*q**2 + 301. Let f(r) = 156*r**3 - 3*r**2 - 101. Let v(h) = -8*f(h) - 3*n(h). What is the derivative of v(c) wrt c?\nAnswer: 459*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-4\/5)*(i\/i**(-3))\/i*(i**(-1)\/i*i)**(-20\/9) assuming i is positive.\nAnswer: i**(316\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.365 + -3.265. Let i be 2 - (-1 + 1) - -2. Let g be 14\/(-20) + 2\/i. Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + z = -1, 4*z = y + 3*y - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - c + 2*c + 3. Let z(n) = -n + 3. Let a(l) = -4*x(l) + 5*z(l). Let v(s) = s**2 + 5*s + 5. Let d be v(-5). Determine a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 929*r**4\/6 + 61*r**3\/6 - 3*r**2\/2 + 104*r + 7. Find the second derivative of z(s) wrt s.\nAnswer: 3716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 - 253 + 37*o**3 + 464.\nAnswer: 37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14071 + -14075. Let l = 7 - 13. What is the closest to l in -1\/6, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(931) - (sqrt(931) + sqrt(931)*-1)**2) + -3) + 3 + -2 + (sqrt(2299) - sqrt(2299)*1 - sqrt(2299))**2.\nAnswer: 42*sqrt(19) + 2282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 30*l**2 - 57*l - 26. Determine f(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 7 - 15 + 8 + 7*h + 2 to the form d*h + w and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003727461736 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzfbttbzzzbtev. What is prob of picking 1 b and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = -23. Let l(o) = o**3 - 9*o**2 - 7*o - 9. What are the prime factors of l(q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -76060?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.02?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 + 324 = 3*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 22500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23540.\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.225 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)\/1*-2. Let o(p) = p - j*p + 2*p + 0*p. Let z(a) be the third derivative of -a**4\/8 - a**3\/6 - a**2. Calculate 4*o(r) - z(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3*o**3 - n**3 + 3*n**2*o**3 + 41*n**2 - n*o**3 - 13*n + o**3 + 2*o**2 wrt n.\nAnswer: 36*n*o**3 - 6*n + 6*o**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2884, -5391, -7896, -10399, -12900, -15399, -17896?\nAnswer: -20391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*c + 176*c = 4*q + 22, -4*c - 2*q = 2. Solve -3*n + 23 = 2*r, -c*r + 8 = 2*n - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663689 to the power of 1\/2, to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)*3 + 0 - 5403\/(-3602).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4. Suppose f - 2*c = 6, 0 = 3*f + c - 3 - 1. Let m be (-68)\/(-10) - (74\/80 + (-98)\/784). Let v(h) = -11 + 6 - h + m + f*h. Give -b(p) + 2*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/8 + 27*x**4\/2 - 855*x**3\/8 - 1083*x**2\/4 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -74*h + 12. Let z be b(-5). Suppose 0*g + 3*g = -3*j + 294, -2*j + z = 4*g. Suppose 2*m + 117 = 3*i - m, -2*i - m = -g. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z + 9476 = 15536 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24721076 - 30?\nAnswer: 24721046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.73963 to two decimal places.\nAnswer: 32.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12374 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9321 > 673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 959 + 2371 = -102*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/21))\/(n*n**(-22)))\/(n**(-2\/11))**(1\/14) assuming n is positive.\nAnswer: n**(5074\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**3 + 8*h**4 - h**4)*(-3 + 2 - 1).\nAnswer: -18*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -116.\nAnswer: -116.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/12 - 85*o**4\/4 - 4335*o**3\/2 + 103*o**2 + 2*o. Let c(j) = 0. Calculate j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 7 + (342\/(-21) - 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*y**4 - 2*y**5 + 118*y**4 + 7*y**2 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/12087 - 30697\/580176. Calculate the common denominator of 103\/108 and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/10 + 199*q**4\/6 - 79*q**3\/6 - 7*q**2\/2 - 298*q. What is the second derivative of h(n) wrt n?\nAnswer: 12*n + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-24)\/144).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-6))**(1\/29))**(6\/7) assuming n is positive.\nAnswer: n**(-24\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (3 - 15)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 times -0.2?\nAnswer: -103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*j - j - 5*j + (1 - 15 - 14)*(j + 0*j - 2*j)).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - h - 1. Let x be p(-1). Suppose -2*y + 11*a + 130 = 7*a, 5*y - 320 = 5*a. Suppose -y = -2*m - x*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 - 14*o)*(3*o**2 - 9*o + 8*o + 4*o**2) in the form h*o**2 + p*o + x*o**3 + y and give x.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -9. Solve -4*d = -k - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 - -200.6. Let y = 87 - 87.37. Let m = y - o. Is m greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-4)\/3) - -1104. Let z be (5\/30 + q\/(-6390))*-5. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12357*t - 24688*t + 12329*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 4. Suppose -5*i = -2*k - 23, k + 4*i - 29 = -8. Let x(m) = m - 1. Let z(n) = k*t(n) - 3*x(n). Find the first derivative of z(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + 20*w - 2. Determine c(-6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-341)\/363 + (-6)\/(-22)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/s)\/((((s\/s**5)\/s)\/s)\/s)*(s**(2\/5))**(1\/15))\/(((s\/(s**(1\/3)*s)*s)\/s)**22\/((s\/(s*(s*s*s**1)\/s*s))\/s)**(6\/11)) assuming s is positive.\nAnswer: s**(27116\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2224 + 3?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 200\/6)\/(1\/(-6)). Suppose -o + 713 = -a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/5)\/(((u\/(u\/(u**(-1\/2)*u)))\/u)\/u)*(u*u**(-2\/7))**(-31\/3) assuming u is positive.\nAnswer: u**(-1361\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/378*-27 + (-27)\/112\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13) + 0\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 10. Let h be o\/(-1) - (-11 - -14). Let n be ((-39)\/(-24) + -2)*h. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 19. Suppose 0 = -c + a*c - 40. Let o = c - 7. Let s(v) = 6*v**2 + v. Determine s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*x + 52 = 0, 41*c - x - 65 = 36*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l - 12*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*b - 14 = -192*b. Suppose 6 = -4*m + 2. Sort 0, b, m in descending order.\nAnswer: 0, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/20 - 2\/8. Suppose 76 = w*k + 30. Let u(h) = h - 14. What is the units digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -23*t + 104 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/35)\/((-18)\/18*(-2)\/(-10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11055 and -101\/116580.\nAnswer: 1282380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11819\/176064 + 372\/917. Find the common denominator of w and -119\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2671030 divided by -72190\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 24\/(-15) - 60\/(-25). Let i be 0\/(-1 + x + -3). Put i, -18, -1 in descending order.\nAnswer: i, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w + 53597 = 651*w - 33866. Solve -141*n + w*n = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 14*n - 75. What is the remainder when n is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 235*b - 494*b + 227*b + 0 + 0 + b - 4 + 4 - 2*b + 2*b - 7*b + 4*b + (2*b + b - 2*b)*(-3 - 2 + 3).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20322, -23665, -27004, -30339, -33670?\n\"Answer: 2*a**2 - 3349*a - 16975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33303212513 minus 13488?\nAnswer: 33303199025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.924 - 0.094. Let z = m - 0.03. Let h = z - 0.80125. Round h to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {k: 2, g: 6, h: 1, t: 3, o: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r. Let p(g) = -5517053*g - 6 + 5517053*g - 11*g**2. Determine f(p(d)).\nAnswer: 132*d**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10206, -20403, -30596, -40785, -50970, -61151?\n\"Answer: 2*h**2 - 10203*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 33*u + 16*u + 996*u**2.\nAnswer: 996*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(-3)*0\/(-2). Suppose g = -3*w + 15, -w = -5*d + w. Suppose a + d*a = 216. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*t - 150 = 32, -b + 3*t + 33 = 0. Suppose 0 = -u, -b*l + 32*l - 3*u + 5560 = 0. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5422 + 1035114?\nAnswer: 1044540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, 1 u, and 1 o when four letters picked without replacement from duxeo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 39237230?\nAnswer: -1961861.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 4445*s**2 + 150871*s\/2 - 133095.\nAnswer: (s - 8873)*(s - 15)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2 - 2*v - 1. Let q(b) = -261*b**2 - 8*b - 4. Let k(d) = 4*p(d) - q(d). Let h(g) = -5*g**2. Calculate k(h(s)).\nAnswer: 7925*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24847\/8 - -3110. Calculate the common denominator of 11\/5 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*p**2 + 2580924*p - 122901.\nAnswer: -3*(p - 40967)*(21*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + f = 87, -5*z + 476*f - 478*f = -114. Suppose 0 = -0*w + 4*w - 16, -26 = -5*v - 4*w. Find n, given that -32\/5 - 4\/5*n**3 + z*n - 24\/5*n**v = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001 - 103?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -10*m, 3*i + 5*m = 14. Suppose i*t - 16 = 2. Calculate the least common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.204 * 6.\nAnswer: 1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 100, 158, 222, 292?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*w - 8047 + 8031, 0 = 4*a - 4*w - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(-2 + sqrt(1088)) + (sqrt(170) + (sqrt(170) - sqrt(170)*1)*1)\/sqrt(10)))**2.\nAnswer: -4416*sqrt(17) + 144464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222221 (base 3) in base 4?\nAnswer: -320323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17*g + 9. Let p be i(6). Let m = 169 + p. Suppose -2*h - 50 = -3*f, -4*h - m = -4*f + h. Calculate the remainder when 67 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 t when four letters picked without replacement from mrmmmrmttmmvm.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*n = -5, -3*n + 7 = -2*g - 2*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247320 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**3 + 0 - 13\/15*k**6 - 28*k + 1\/3*k**4 + 0*k**2 - 11\/10*k**5. Factor z(w).\nAnswer: -2*w**2*(w + 1)*(13*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173.1 - 188.1. Which is the fourth smallest value? (a) p (b) 2\/15 (c) 0.5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701 = -11*w + 344. Find the second derivative of -191*f + 88*f - 2*f**3 + 9*f**3 + w*f wrt f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 64 - (1 - (0 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16597794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76422740350 rounded to the nearest one million?\nAnswer: 76423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k - 321 = 78 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 4. Let c be q(-6). Is 10 a factor of (-2)\/(-3) + c\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19419045.29 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 5. Let t be i(4). Is ((-26)\/(-3))\/((-6)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1245280 + 13501*b + 1245280 + 37*b**5 + 16*b**2 wrt b?\nAnswer: 740*b**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 636 - 1284. Suppose 3*b + 5*l - 163 = 3*l, 5*b - 3*l - h = 0. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 - 12.3. What is the biggest value in 0.2, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36612810 divided by 5795.\nAnswer: -6318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*q + 7. Let y be 9 + -7 + -3*4\/q. Let v be (60\/(-35))\/(y\/(-14)). Solve -c = 4*o + 13, 3*o - 3*c + 0 = -v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*m - 4*m + 2)*(3 + 1 - 3).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577216.3nm to kilometers.\nAnswer: 0.0000005772163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1611 + -569. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44820321 divided by 88403?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200\/41 >= 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 395 - 155 = 0. What is the remainder when 41 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002128 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 17. Let j(z) = z**2 + 11*z + 12. What is the remainder when 45 is divided by j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 131.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-3*2 + -3*sqrt(171)*5)\/(sqrt(81)*5*4*-3).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:50 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-234076)\/(-24) - (61\/6 + -10).\nAnswer: 3, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-33 + -17 + -1) - -41?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1. Let s(k) = -105*k + 2. Let o(c) = s(c) - 5*v(c). Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*g**2 - 636*g - 426.\nAnswer: 3*(g - 142)*(3*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 964 + 2*l**2 - 2*l + 1953 - 978 - 3*l**3 + l**3 to k + q*l**3 + b*l**2 + f*l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345654142 divided by 3?\nAnswer: 781884714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -28 + 33. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 109?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2 + 7*r**2 - 13*r + 6*r + 9*r - 10. Let i be m(5). Suppose j - u - 596 = i, -5*u + 757 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q - 4. Let f(s) = -s**2 + 4*s - 3. What is -6*f(b) + 5*o(b)?\nAnswer: b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10183*q**2*u + 2*q**2 - 2*q*u - 5*q - 125742*u - 2 wrt q.\nAnswer: 20366*q*u + 4*q - 2*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 618 - -d1bb3?\nAnswer: d22cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 949731.8 millilitres in litres?\nAnswer: 949.7318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33221220111 (base 4) in base 2?\nAnswer: -1111101001101000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 391, -4105, -2, 4 in ascending order.\nAnswer: -4105, -2, 4, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g + 0*g**5 + 1\/6*g**3 - 2\/21*g**7 - 54 + 0*g**6 + 5\/6*g**4 + 3*g**2. Find the second derivative of v(i) wrt i.\nAnswer: -80*i**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-92)\/(-6))\/((-4)\/(-54)) - -3. Let s = a + 140. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 9*n + 1. Let s = 245 + -240. Suppose -s = 5*r + 5*q - 0, 2*r + 14 = -5*q. What is the least common multiple of k(8) and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*0.05.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462293 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + -7.6. Let v = m + 11. What is the fourth biggest value in v, -5, 1, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t**3 - 374*t**2 + 77*t - 12. Give a(20).\nAnswer: 3928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 + 2*l - 18 - 15*l**2 - 4*l - 28 - l**3 in the form a*l**3 + g*l**2 + b*l + o and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211426, 422834, 634232, 845620, 1056998, 1268366?\nAnswer: 1479724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 12*d + 19. Let x(v) = -3*v**2 - 8*v + 13. Let u(l) = -5*w(l) + 7*x(l). Suppose -26 + 6 = 5*b. Let a be 92\/24 + b\/(-24). Calculate u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1435186666 - 0.4.\nAnswer: -1435186666.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 18. Suppose -2*g + 0*g = -o, 4*o + g = 0. Let b be m(o). Is ((-3516)\/b)\/(2\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1625, 5, 0 in descending order.\nAnswer: 5, 2, 0, -1625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*g + 1, -5*g + 3*j = -j - 31. Suppose g = 3*n - 6. Suppose -n*k + 64 = -83. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4720 by -944.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b + 1263. Determine k(97).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 + 2)) + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5016*j - 158. What is the hundreds digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 7*j - 17. Is c(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aadadiaaaaddi.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 1642. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87746*h**3*p**3 - 5*h**3*p + h*p**3 + 2*h*p**2 - h*p + 1039*p**2 + 2*p wrt h.\nAnswer: -526476*h*p**3 - 30*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4546 by 6.\nAnswer: -2273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.809 - 0.191. What is the smallest value in -4, -0.5, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111891 and 3705?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.021 - 0.049. Let h = 93.6 - 91.6. Is h equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/(-90))\/(((-84)\/(-14))\/(-90)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 313 + 304 = 0. Let b(c) = -c**2 - 6*c - 2. Let y be b(-6). Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caoc when four letters picked without replacement from caacoococ?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 36*s + 3. Let q be l(9). Suppose 0 = -t + 4*a + q, -5*a = -8*a + 3. Solve -2*u - t = -7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2*(-3)\/(-14). Which is the closest to -1? (a) w (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2 + (1 - 2)). Let w(k) = 2*k - 1. Let v be w(3). Suppose q - v = -i*q. Calculate the highest common divisor of 35 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - -139.362. Let c = x - 0.3326. Round c to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2374?\nAnswer: -2\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(4\/7))**(3\/16)\/(t*t**(-3)*t*t*t*t*t**(-3)) assuming t is positive.\nAnswer: t**(71\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-3120))\/(5\/(-80))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3, 3*j - b = 123 - 44. What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316 + 1151 = 87*b - 274 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + p - 3 - 14, -3*q + 59 = p. Let c = q + -17. Solve 3*v = -v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98705.\nAnswer: 5, 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/3 - 189064*y\/3 - 189065\/3 = 0. What is y?\nAnswer: -1, 189065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 22, 1, 4, 526 in descending order.\nAnswer: 526, 22, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 1, l: 4, g: 1, h: 2}. What is prob of picking 3 l and 1 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 37, 78, 133, 202?\n\"Answer: 7*b**2 + 6*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18875345 minus -0.07002?\nAnswer: -18875344.92998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-360)\/(-20))\/((-2)\/(-9)). Let d = -31 + x. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0, -3, -2\/23, -15\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7201.34794 * 3\nAnswer: -21604.04382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.9. Let x be 637\/(-4) + 4\/((-20)\/(-15)). Let s = 155 + x. What is the biggest value in s, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19482559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 491. Suppose -4*w + c = 46. Does 20 divide (w\/6)\/(1\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 8*z**2 - 9*z + 2. Let q be b(6). Calculate the highest common divisor of 30 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 481702 = -4*f, 2*f = -2*f - i + 481710. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -4. Suppose 0 = 2*g + w - i, 35 = g + 3*g + w. Suppose -6 - g = -j. What is the remainder when 40 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.054 - -0.054. What is the closest to 2 in 4, x, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 4048?\nAnswer: -3\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmlf when four letters picked without replacement from {l: 1, u: 8, f: 3, m: 4, r: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 0, -7, 10, 4, 12 in descending order.\nAnswer: 12, 10, 9, 4, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.268 + -1.091. What is g rounded to two dps?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61932036.7 rounded to the nearest ten thousand?\nAnswer: -61930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404573.6 millennia in decades?\nAnswer: 40457360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(2\/9)*b)*b)\/b)**(-23) assuming b is positive.\nAnswer: b**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*r + 59187 - 59515 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -5*m**4\/12 - m**3\/3 + m**2\/2 - 3*m. Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2*n**5 + 5\/6*n**6 - 25\/4*n**4 + 0*n - 10*n**3 + 0*n**2 + 2. Solve l(y) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -23.1. Let y = -22.4 + l. What is the fourth smallest value in -2, y, 2\/7, -1.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m + 4*m**3 - 2*m**3 + 2*m**3 + 2*m**3 + (2 + 1 - 1)*(-16*m**3 - 7*m**3 + 10*m**3).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24603 (base 10) to base 3.\nAnswer: -1020202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*(-6)\/(-3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 828 - 481. Let f = z - 384. Is f <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*f - 323*f - 12*f + 27*f + 7 + 111*f.\nAnswer: -490*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 3966\nAnswer: -73\/3966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 5 - 2 - 2*t. Let k(d) = d**3 - 6*d**2 - d + 1. Let s be k(6). Let h be o(s). Which is the second biggest value? (a) 0.3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(192) + sqrt(192)) + -1)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*w**2 + 1578*w**2 - 3364*w**2 - 5855*w**2 - 744*w**2.\nAnswer: -8942*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501 divided by -7?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/42*r**7 - 1\/12*r**4 + 1\/30*r**6 + 0*r**3 + 0 - 3*r + 1\/20*r**5 + 0*r**2. Factor x(f).\nAnswer: -f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322033 + 131?\nAnswer: 322214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*a**3*u**3 - 12*a**3*u**2 + a**3 + a**2*u**2 - 48*a*u**3 + 86*a*u - 355*u**3 + 7*u**2 wrt u?\nAnswer: -396*a**3 - 288*a - 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(1\/5))*j**10*((((j*j\/(j*j*(j**(-2)*j)\/j)*j)\/j)\/j*j)\/j)**(-30) assuming j is positive.\nAnswer: j**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104701261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(35\/15) + (-218)\/3. Is c smaller than -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2))\/y**13*((y**(-11)\/y)\/y)\/y*y\/(((y\/(y\/y**(2\/3)))\/y)\/y) assuming y is positive.\nAnswer: y**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 3 + (-2)\/(-2)*45?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.08, 281, -971?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btl when three letters picked without replacement from {l: 2, d: 1, b: 2, t: 1, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*g + 2 - 0, 0 = 4*g + 4*t - 4. Let l be g + 0 - (9 + -7). Let d be (14\/84)\/((-1)\/l). Is -2\/39 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88915867, -177831732, -266747597, -355663462, -444579327?\n\"Answer: -88915865*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(2 + 0\/1). Solve 3*i + 12 = w, 7*i = 2*d + 2*i - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 782*w - 2411. Calculate g(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/1046633 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:56 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 + -213. Let h(a) be the second derivative of -5\/2*a**2 - 1\/6*a**4 + 0 - 7*a + 0*a**g. What is the first derivative of h(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136975.2cm to meters.\nAnswer: 1369.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -5. Let k = 10 - 5. Suppose 0 = -k*f + z + 158, z + z = 2*f - 60. Calculate the highest common divisor of w and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657730 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-231) - (-2)\/(-22). Factor -3\/5*x**3 + 0 + 9\/5*x**2 + g*x.\nAnswer: -3*x**2*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 1749?\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54215 + -30?\nAnswer: 54145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44939, 45085, 45233, 45383, 45535, 45689?\nAnswer: 45845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102697.53 rounded to the nearest 1000?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 20359 = 5*h, 0 = 5*h - 82*t + 83*t - 20362. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 273726, 2 in decreasing order.\nAnswer: 273726, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:20 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 140*s**3 - 2494*s**2 - 2356*s.\nAnswer: -2*s*(s + 1)*(s + 31)*(s + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*h - 57*h + 43*h + 109*h.\nAnswer: 186*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 16*k**2 + 173*k - 2366. Calculate t(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*l**3 + 37*l**3 + 47*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -737, -50, -1, 5, 1\/4.\nAnswer: -737, -50, -1, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 2. What is the least common multiple of (-12)\/(-5) - 2\/5 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2867871 + -975672. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40228284?\nAnswer: 2, 3, 587, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 19*p - 22*p. Let r = -12 - p. Solve 2*g - 1 - 1 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n - 3. Let j(k) = k**2 + 6*k + 7. Let l be j(-7). Suppose 4*i = -3*x - 2*x - 6, -3*x = 5*i + l. Let g(c) = -1. Determine i*g(h) + v(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-105))\/((-3)\/1710). What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(48) + sqrt(1200)*-2)**2*-5.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4 - 0. Suppose -3*m = 2*a - 23, -q*m + 13 = -m - 2*a. Calculate the remainder when 24 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79130.77 millilitres in litres?\nAnswer: 79.13077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.04 - -3.93. Let b = y + -1.69. What is the closest to b in -0.3, -0.4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1743*c**3*j**2 + 2*c**3 - 27*c**2*j + 18*c**2 + 2*j**2 - 2*j wrt c.\nAnswer: 10458*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -780 + 1444. Let y be 12\/(-21) - x\/14. Let j = -45 - y. Solve 0 = j*n - m + 10, n + 4*m + 30 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 5934 = -3*i + 229*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(132)*3 - sqrt(132)) + sqrt(132)))\/(3*(sqrt(12) - sqrt(12)*2)) - (sqrt(363)\/(sqrt(11)*2))\/(-4*-2*sqrt(3)).\nAnswer: -97*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 29*w**2 - 4*w - 52. Give m(-29).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((2 - 3)\/(-1))\/(3*1\/16035)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35724277 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaafaaaa. Give prob of sequence fa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 21. Suppose 2*o + 3*o = 10. Suppose -2*n + i - 8 = 0, 4*i - 6 = -4*n + o. Which is the third smallest value? (a) -3 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1426*l + 22741. Determine s(-16).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 47*f - 1084. What is m(25)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23216*n**2*v**2 + 3*n**2*v - 52531*v**2 - 2*v wrt n?\nAnswer: 46432*n*v**2 + 6*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 878071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/364 + 165\/312. Put i, -8\/3, -1, 4 in ascending order.\nAnswer: -8\/3, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 6*s - 3. Let u be c(-5). Let i = 125 - u. Let r be 4\/(2*(-3)\/(-24)). Calculate the highest common factor of i and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3469 in 1, 0.06, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2294*l + 71158. Calculate x(-31).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41848 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 320\/35*83020\/(-9488)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 2\/9 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + i - 27, 48 = 2*d + 4*i. Let f be (-8)\/(48\/d)*(0 - 1). Calculate the highest common divisor of f and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.7 - -3.3. Let l = z + 26. Let p = l + -63.8. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((6\/(-6))\/((-54)\/(-2)))\/1)\/(3811\/(-160062))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14546658 (base 9) to base 4.\nAnswer: 123212120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 3*f + 3. Let b be (2 - 2)\/(-3) + 2. Let c(j) = 10*j - 17 - b*j**2 - 6*j**2 - 8*j**2 + 7. Give 3*c(z) + 10*q(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b + 2*b**5 - b**2 + b**2 - b**5 + (0*b**5 - 2*b**5 + b**5)*(-5 - 3 - 7) - 24*b**5 - 110*b**3 + 110*b**3.\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -55488?\nAnswer: 11097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12515650 by 35.\nAnswer: 357590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36888 * -33.1\nAnswer: -1220992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(8\/3))*g*g)\/g)**(8\/11)*g**(-2\/117)\/(g\/(g\/(g*g**(-23)))) assuming g is positive.\nAnswer: g**(26732\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 1:42 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {z: 6, d: 5, u: 3, q: 1, j: 2, r: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(612))**2 + sqrt(612) - (4 + sqrt(612) + -2).\nAnswer: 180*sqrt(17) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 11*t. Let r be x(-9). What is the common denominator of -11\/30 and (-16)\/(-136) + (-1600)\/r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/139292 and -10\/679.\nAnswer: 975044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 202. Let c = a - 92.00000059. What is c rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14143 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 137 - 17 = 0. Suppose -7*g + i = -4*g. Calculate the remainder when 23 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -648*b*f*y**2 + 16*b*f*y - 22*f**3*y**2 - 288*f**3 - 2*y wrt y?\nAnswer: -1296*b*f - 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4531 - 4506. Let z = -19.65616 - 5.343884. Let x = t + z. Round x to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*l - 2*p + 3, -4*p = 2*l + 12. Is 18\/l - 109\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3098, -4, 4.\nAnswer: -4, -1, 4, 3098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5645 and 62382895?\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -563.34297 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 93*r**2 + 44*r. What is v(46)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 98415.\nAnswer: 196830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168762 and 2?\nAnswer: 168762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-1\/14)\/t)\/t)\/t**(-5)*t*((t\/t**(1\/7))\/t)\/t*t**6*(t\/(t*t*t*t**(5\/7))*t\/(t\/t**(2\/5)*t)*t)**(-14) assuming t is positive.\nAnswer: t**(2953\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0 - 29*t + 26*t + 0*t**3 + 7 + t**3 - 6*t**2. Let c be a(6). Let h(m) = -m - 7. Does 4 divide h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/((5\/(-5))\/10). Let r be 4\/14 - (-23)\/(-7). Let q = r + f. Solve 1 = -3*p - 2, 0 = -q*t - 5*p - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -450, -540, -676, -864, -1110, -1420, -1800?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/703518 and -64\/29195997?\nAnswer: 58391994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/120 - c**5\/12 + c**3\/3 - 5*c**2. Suppose -5*h = -3 - 22. Let p be l(h). Solve 3*j = -12, -p*y + 5*j + 29 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 + -1 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29517, 54686, 79855?\nAnswer: 105024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q - 82 = 29*q + 12*q for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463377 is divided by 5484.\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3368, 6710, 10066, 13442, 16844, 20278, 23750?\n\"Answer: y**3 + y**2 + 3332*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538657 is divided by 23419?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 11) to base 13\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/(((-45)\/(-90))\/1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9278944 and 1449835?\nAnswer: 46394720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*h + 14, 5*a + h - 15 = 4*h. Is (-4)\/a*24450\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -2586007420.\nAnswer: -2586007419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 21. Which is smaller: x or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 48 = -8*m. Let r be m*(-4 + 68\/12). Solve 0*n + 3*a = n + 20, a - r = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7230, 14476, 21722, 28968, 36214, 43460?\n\"Answer: 7246*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9940174 is divided by 584715?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148453*b**3*d - 4*b**3*f + 96*b**2*d*f - 4*b**2*d + 24*b**2 - b*d*f wrt b.\nAnswer: 890718*d - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85492 is divided by 17084?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y - 4. Let u be k(-8). Let g be u\/(-44) - 3 - (-20)\/(-330). Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2277 + -2274.721. What is l rounded to 2 dps?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42164433 divided by -17217?\nAnswer: -2449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960.252 centuries in months?\nAnswer: 4752302.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128292 and 138983.\nAnswer: 1667796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3784*w**3 + 164*w**2 + 14*w + 2.\nAnswer: 22704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4513 and -4.\nAnswer: 4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1)\/sqrt(10) - 4*sqrt(171))**2 - (sqrt(76) + -1)*-3*-4.\nAnswer: -24*sqrt(19) + 3223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -16058?\nAnswer: 144522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/((-437)\/23) - 86\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6699\/319)\/((-2)\/(4\/(-30)))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67585?\nAnswer: 5, 7, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.14 - -57.14. Let y = a - 58.9. Round y to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(20196\/(-20664)) - (168\/(-44) - -4) - -15.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 75*o = -3*w + 4152, 0 = 3*o - 6. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 2401\/601)\/(-1 - 0). Let y = 12029\/1803 - p. Factor -8\/3 - y*u + 28\/3*u**2.\nAnswer: 4*(u - 1)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(440)\/((sqrt(10) + 2*sqrt(10))*-2).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -v - 75 + 79, 4*k = v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Suppose 0 = 4*s - 2*s - p. Solve 5*l + 11 = -u - 3*u, -l + 13 = -s*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420375608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 1. Let p(i) = 9*i + 10. Calculate -p(o) + 3*u(o).\nAnswer: -6*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 3. Let a(i) = -7*i - 5. Let q = -5 - 0. Let t(h) = h. Let s be t(3). Suppose -s*u - 13 + 4 = 0. What is q*d(n) + u*a(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.76 and -38893.\nAnswer: -68451.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261767491.\nAnswer: 261767491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16057925?\nAnswer: 5, 13, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 3 + 442*d - 3 + 14*d**3 - 417*d. Let h(k) = -k**3 - k**2 + 1. Let i(x) = -6*h(x) - w(x). Find the second derivative of i(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z**3 - 5*z**3 - 8*z - 14*z + 7*z. Let s(h) = -54*h**3 - 29*h. Let x(u) = -11*r(u) + 6*s(u). Find the second derivative of x(j) wrt j.\nAnswer: -162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 = 26*j, -3*w + 9 = -3*j - 11 - 10 + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 218*i**2 - 20*i + 12. Is 95 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.1. Let m = 0.018 - 5.018. What is the biggest value in m, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 20*x**2 - x + 23. What is the lowest common multiple of 9 and g(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*g**3 - 3*g**3 - 6*g**3 - g**2 + (8*g**2 - 5*g**2 + 16*g**2)*(0*g - 3*g + 2*g) to q + y*g**3 + u*g**2 + f*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(612) + 1*sqrt(612) + 2 + sqrt(612)*-2*-3) + -5)*-6)**2.\nAnswer: 24192*sqrt(17) + 1411812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, 0, -4\/175, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402 and 2602012?\nAnswer: 7806036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16 - 45 + 37*w + 20 + 13. Calculate the remainder when 622 is divided by p(2).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1567 divided by 1317\nAnswer: 1567\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-210) - (-2)\/(-14). Let u(i) = i**3 - 5*i**2 + 3*i - 7. Let w be u(5). Suppose j = 3*r - w*r + 270. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, l - 7*o - 5 = -3*o. Calculate the highest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(1*(-2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*f + 2 + 2, -2*f = -3*b + 10. Let q(v) = -4 + 3 + 4*v - 4*v**2 + b*v**2. Let s(a) = -a**3 - a**2 + a. Calculate q(m) - 2*s(m).\nAnswer: 2*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 37915491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 4)*(-3*p**5 + 6*p**5 - 2*p**5).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 722214, 1444435, 2166656, 2888877?\n\"Answer: 722221*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -20, 25 = -h - 0*h - 5*z. Let j = 384 - 384.2. Which is the nearest to h? (a) 2 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 5674?\nAnswer: 113480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1092.756555 to the nearest 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:41 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let a(i) = -3*i**2 + 54*i. What is a(c(y))?\nAnswer: -3*y**4 + 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 - 4*i**2 - 4*i + 4. Let r(k) be the second derivative of -k**4\/12 - k**3\/6 + k**2\/2 - 20*k. Determine -n(a) + 4*r(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085916184.\nAnswer: 2, 135739523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -32*p - 256. Let u be c(-8). Let o(h) = h**2 - h + 17. Calculate o(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20955931 and 0.4685?\nAnswer: 20955931.4685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(27\/(-2))*(-72)\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g + 32. What is q(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-2)\/(12\/441). Let s = -70 + u. Which is the nearest to -2? (a) -0.1 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*q - 5 + 101 - 56*q + 27 to n + l*q and give n.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65063393 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*g - 106 = 80, 2*g - 36 = -i. Suppose 0 = -t + 14 - 0. Let q be 13164\/14 - (3 - i\/t). Round q to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3971825\/5555*(-2)\/22.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4380.\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497.6 + 498. Let d = 1 - -4. What is the second biggest value in 6, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-14) - 1) + (-1548420)\/(-82740).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5341 and 6\/9 - 4*11\/(-132)?\nAnswer: 5341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000368 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (38 - (34 + -15))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1436527.\nAnswer: 7182635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 411 = 4*c - c, -5*c + 685 = -3*z. Which is bigger: c or 136?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*l**3 + 2 - 4 - 7 - 43*l**3 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 10, e: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2465895 divided by 5?\nAnswer: -493179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:03 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8230578 at least -8230578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1506214 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 121.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > -1525\/154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1799 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*j + 88, 0 = 4*j - 3*j + 1. What is the remainder when v is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-725)\/(-20))\/(2\/8). Suppose 0 = -2*g - 4*o + 138, 0*o = 2*g - 3*o - v. Let y = g - 69. Solve -y*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1594*u - 1416*u - 1352*u)*(-2 + 3 - 2) to the form v*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 9.22?\nAnswer: 9.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29560.62ns in minutes?\nAnswer: 0.000000492677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*(-45)\/(-15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400663331.6 rounded to the nearest 10000?\nAnswer: -400660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 1953, 2925, 3895?\nAnswer: 4863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.77263 - 3114\nAnswer: -3121.77263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from nnttnnnnnnn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 1. Let y(x) = x**3 + 6*x**2 - x + 1. Let i be y(a). Suppose 2*k + 4*q - 150 = 0, -i*k - 4*q + 357 = -2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2675988089 to the nearest integer?\nAnswer: 51730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -5*d, -m + 3*m = -d + 11. Suppose 0 = m*j - 28 - 0. Solve 3*w + j = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 52 = 4*o. What is the remainder when 50 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17294 + 0.172912858. Round s to 7 decimal places.\nAnswer: -0.0000271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - p = -3*p - 10, 0 = -5*g - 4*p - 14. Let t(x) = 794*x**3 + 12*x**2 - 10*x + 12. Let n be t(g). Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:38 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/10)\/21*11\/(-44)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -414.611 - 705.8\nAnswer: -1120.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*y - 2*z - 1, -2*y - 3*z = -4. Let b(m) = -5538*m**3 + 11064*m**3 - m - 5533*m**3. Give b(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u + 3 = 0. Suppose -3*f + 5 = s - 0, u*s + 3 = 0. Let o be (10\/3 - f)\/((-2)\/(-9)). Solve 0*v - 3*v - o = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55929 (base 10) to base 12\nAnswer: 28449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - x = -43, -25 = 5*h + 5*x - 80. What is the greatest common divisor of h and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 - 512*w**2\/11 - 15282*w\/11.\nAnswer: 2*w*(w - 283)*(w + 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000043454578 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -333b26 + 9?\nAnswer: -333b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -278338*v**2. Let t(j) = 8*j. Calculate t(d(g)).\nAnswer: -2226704*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzpz when four letters picked without replacement from {z: 10, p: 8, c: 1}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5 = -d, -4*d + 15 = 4*x - 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -7*h - 7*z + 3, 0*h + 5*h - 8*z + 3*z - 10 = -0*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3)*p)*(p*p*p**4\/p*p)\/p)\/((p**3*p)\/p**1) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3367*m**2 - 2024*m wrt m.\nAnswer: 6734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**6\/2 + 7*o**5\/5 - 4*o**3\/3 - 173. Factor k(m).\nAnswer: m**2*(m + 1)*(m + 2)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14952, -60654, -136856, -243558, -380760, -548462?\nAnswer: -746664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339042.\nAnswer: 2, 3, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - w = -4*q + 44, 3*q - 5*w + 79 = 0. Let z = -19 - q. Let i = -5 - -7. Sort 3, z, i in descending order.\nAnswer: z, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in 96, -0.4, -54, -0.1, 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 - (-23)\/46?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-10)*d**(-5\/2))**31)**(-9\/11))**(-37\/3) assuming d is positive.\nAnswer: d**(-86025\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296521528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 21. Let m be u(-5). What is the third biggest value in 4\/9, -5\/3, m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*r*s**4 - 3*q**3*r*s**3 - q**3*r*s + 2*q**3 - 21*r*s - s wrt s?\nAnswer: 24*q**3*r*s**2 - 18*q**3*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360312587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 890891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 3040 = 5*o, 2*u = -3*o - 1831. List the prime factors of o\/((6\/36)\/(3\/(-9))).\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/225)\/((-15)\/(-45)). Let d(y) be the third derivative of -1\/24*y**4 + 1\/15*y**3 + 0 + x*y**5 + 0*y - 1\/600*y**6 + y**2. Factor d(k).\nAnswer: -(k - 2)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.7407 millilitres to litres.\nAnswer: 0.0897407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 0, 2*a = 7*a + 2*z - 21. Suppose -a = p - 6. What is the smallest common multiple of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8139)\/(-15) + 20\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 794 - 337. Let u = -457.000000363 + o. What is u rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 22128100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one quarters of a decade?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185*r - 223*r + 283*r)*(-7 - 3 - 4) as c + b*r and give b.\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5217*b*k**3 + 13*b*k**2 - 605883*b*k - 567*k**6 wrt k?\nAnswer: 31302*b - 68040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85\/21 + -26\/7. Let h = 32849\/7924 + -3\/1132. Find the common denominator of j and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 4. Let v = -43 - -35. Determine i(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g + 14. Suppose 7*n - 2*n = -g. Suppose 3*r - 3*x - 18 = 0, 5*x = -3*r + 2*x - 6. Put 3, n, r in descending order.\nAnswer: 3, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 1. Let m(p) = -9*p + 4. Suppose 159*d - 180*d + 42 = 0. Suppose 6 + 8 = -2*t. What is d*m(f) + t*y(f)?\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {q: 3, t: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:10 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 3. Let d(w) = -6*w**2. What is d(a(y))?\nAnswer: -54*y**2 - 108*y - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 31*d + 33 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:52 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -782 + 2786. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(-3)\/23. Let j = 159 - 163. Let d = -4 - -7. What is the third smallest value in j, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**3\/5 - 8*a**2\/5.\nAnswer: -4*a**2*(3*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 2*l**5\/15 - l**4\/8 - l**3\/2 - 329*l**2. Let r(v) = -15*v**2 + 5*v + 5. Suppose 0 = 3*b - 12 + 3. Determine b*r(d) + 5*m(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85830883 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1733 = -1713. Solve -4*a = y + y - 20, 0 = h*a - 2*y - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 4. Let q be b(5). Suppose 4*v = 3*v - 5*t + 71, -3*t = q. What are the prime factors of v + -1*(-4 + 5)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Let d(x) = 3*x**2 - 17*x - 4. Let q be d(6). Let r(t) be the first derivative of -5\/2*t**q + 0*t - 3. Give a(r(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-21)*3\/(-2). Suppose h*q - 3 = -b, q - 2 = 5*b - 28. Solve -b*c - 5 = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*(t**(-48)*t)\/t)*t**(1\/5) assuming t is positive.\nAnswer: t**(236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4000367, 4000366, 4000365, 4000364, 4000363, 4000362?\n\"Answer: -x + 4000368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 7*l**4 - 62*l + 2*l**2 + 6*l**4 as t*l**3 + q*l**2 + k*l**4 + y*l + j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1433 - 3?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 14*u - 3. Let r be u - -1*(22\/(-4) - -3). Let f = -3.06 + 0.06. Which is the nearest to r? (a) -0.1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.571 and 0.071.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -19*f + 22*f. Suppose -5*h - 15 = f*p, -2*p - 9 = 3*h - p. Let m(x) = -x + 7 - 3 + 0*x + 0. Let n(d) = d - 3. Calculate h*m(o) - 4*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 + 3*f**2 + 3*f.\nAnswer: 3*f*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2724*g = 5*a - 2729*g - 5, 4*a + 4*g - 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from oarooqrorooo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let p(x) = -x**2 + x + 1. Determine p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -0*c + 3*c. What is the common denominator of c and 15\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*y**2 + 32*y - 57144.\nAnswer: -10*y + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 614 - 1631. Let j = 1016.9106 + c. What is j rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1 - l**2 - 373*l**3 + 369*l**3 - 3*l + l. Let q be s(-1). Factor 4*u**4 + 5*u**5 + 5*u**q + 18*u**3 + 2*u**3 + 11*u**4.\nAnswer: 5*u**3*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 92510*n - 427905005 = 0. What is n?\nAnswer: 9251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/4))**(-2\/7) assuming u is positive.\nAnswer: u**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302359 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4 = 2*w, 13 = -3*v - 4*w + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 3 + 3 - n + 5*n - 2*n + (-3 - 1 + 2)*(-2*n + 0 + 0) - n - 3*n + 3*n + (-5*n + 3*n + 0*n)*(2 - 2 - 4)*(1 + 3 - 3).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -47*l**3 + l**2 - 18*l. Let a(y) = -133*y**3 + 2*y**2 - 55*y. Let d(f) = -6*a(f) + 17*t(f). Suppose d(k) = 0. What is k?\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8155 divided by -8155\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 6*g + 1. Let f be ((2\/5)\/2)\/(79\/42265). Let n = f + -102. Give m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288))*-1 + sqrt(288))**2 + (-1*sqrt(288)*-2 - sqrt(288)) + ((3*4*sqrt(288) - sqrt(288))*4)**2.\nAnswer: 12*sqrt(2) + 557569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9739.66 rounded to the nearest ten?\nAnswer: -9740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 682.24904 to 1 dp.\nAnswer: 682.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*15\/(-2900)*(-800)\/120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4092031.\nAnswer: 31, 132001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x + 27*x = -117*x - 44*x + 6432 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3\/9 - 1826*b**2\/9 + 148174*b\/9 + 14005970\/9 = 0.\nAnswer: -55, 157, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*g**2 - 1 + 1 - 564*g**2.\nAnswer: -226*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/704 + 1\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 175*f**2 + 457*f + 24. Is 9 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137152 and 51432?\nAnswer: 411456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2197 - 1556. Let z = -338 + l. List the prime factors of z.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 193, -2, 2 in ascending order.\nAnswer: -7, -2, 2, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - f - 31*f**2 + 30*f**2 - 2*f**3 - 5*f**4 as a*f**4 + p*f + r*f**3 + s*f**2 + g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 3. Let c be z(4). Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105581 or 527912\/5?\nAnswer: 527912\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.014.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -53507.186 * -0.3\nAnswer: 16052.1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 172*w**2 - 6*w - 3. Let d be m(-3). Is d != 1561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1, 4 in descending order.\nAnswer: 4, 1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*n**2 - 52*n**2 + 42*n**2 + 20*n**2.\nAnswer: 97*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/45)\/((-8)\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8006, -12006, -16006?\nAnswer: -20006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1281 and 479299387.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -770 - -771. Suppose 0 = m - 5*n + 20, -4*m + m - 4 = -n. Which is the closest to 0? (a) -5 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 0 + 0*r**2 + 10*r + 7\/6*r**3. What are the prime factors of d(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -1\/3*m**3 - 1\/12*m**4 + 0 + 3*m**2 + 0*m. Differentiate p(r) with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465857*j**3 + 8*j**2 + 6143*j.\nAnswer: 2795142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -28\/79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 8, -842 in descending order.\nAnswer: 158, 8, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-16)\/12*3)*(-6)\/21. Solve 0 = q*o + 3*v - 2, o - 3*v = -4*o + 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000111 - -201?\nAnswer: 12001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2613 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 112501246 (base 7) to base 13\nAnswer: 157b484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*f + 64 - 37, -3*n + 72*f = 297 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 16*o**2 + 18*o + 20. Suppose -2*d + 4 + 2 = 0. Suppose d*f - 240 = 19*f. Let x be j(f). Is -25 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-141)\/(-12)))\/(254\/127)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*j - 329344 - 3082309. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 3.5. Let h = 2 - f. Sort h, -0.4, 6, -2 in decreasing order.\nAnswer: 6, -0.4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 119. What are the prime factors of c(-7)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1422 - 3053223?\nAnswer: -3051401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2574\/2002)\/(9\/(-21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let b(t) = 5 - 2 - t + 2*t**3 - 3*t**3 + 4*t**2 - 5*t. Let m be b(2). Let w(j) = -2*j**2 + 2*j + 2. Calculate m*w(k) - 2*c(k).\nAnswer: 2*k**2 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/((v\/(v*v\/(v\/(v*v**(-2\/17)))*v*v))\/v*v)))\/v**(2\/11))\/((v\/(v*v\/v**(-6)))\/((v**(-7)*v)\/v)) assuming v is positive.\nAnswer: v**(-386\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3222 - 1812. List the prime factors of v.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2843*s**2 - 5660*s**2 + 2816*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/((-5 - -14 - 9) + 232\/(-40))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.97056 weeks to hours.\nAnswer: 11083.05408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 + 19)\/((-6)\/8). Let v = -529 + 754. Let k be (0 + -1)\/((-25)\/v). Let f(j) = -10*j**2 - 9*j. Let d(s) = -5*s**2 - 4*s. What is k*d(b) + y*f(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*u + u + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*l**4 - 175*l**3 + 180*l**2 - 45*l.\nAnswer: 5*l*(l - 3)*(l - 1)*(8*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 15 = -0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/76835916 and -79\/828?\nAnswer: 76835916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:58 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 270986799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**2 + 1108*p + 885. Suppose 4*o - 18 = 2*o. Calculate the least common multiple of d(-110) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c - 40. Let y be m(15). Suppose -27 = -j - 3*g, 14 = -j + y*g + 1. Is j <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*f + 117*f + 119*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 2*f + 27 = -21*b, 0 = 7*b + 11*b - 2*f + 102 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 459, 1521, 3575, 6951, 11979, 18989, 28311?\n\"Answer: 55*h**3 + h**2 + 12*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510947 to the power of 1\/2, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*4\/1. Suppose 4*k + 104 = 5*u, -4*u + 50 = -q*k - 38. What is the lowest common multiple of u and (486\/480 - 3\/(-16))\/(((-32)\/(-60))\/8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 20 = 3*x. What is the third derivative of -5*a**2 - 3*a**4 - 5*a**2 + x*a**2 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 2385870810462539 - 2385870810462539.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140310368 and 17538796.\nAnswer: 140310368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n - 26. Let q be (-1 + -6)*(7 + -6). Let g be y(q). Which is the biggest value? (a) 0.4 (b) 0.24 (c) -0.3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 38953*p**2\/3 + 389755*p + 2923725.\nAnswer: -(p - 38983)*(p + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 6639*h + 37341492.\nAnswer: -3*(h - 4804)*(h + 2591)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-245)\/(-28) + -9 - 2\/(-8). Solve 3*i - f - 7 = t, 3 = 5*i - 5*f - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*d - 1757, n + 0*n = 5*d + 2195. Find the common denominator of ((-318)\/28)\/(12\/(-42)) - 65\/52 and ((-1)\/(-3))\/(4\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 71 + (-20 - (-2 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-90) - 0)*(-16)\/2. Which is the second biggest value? (a) m (b) -3\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-35\/2))\/i**13*(i*i**9*i*i)**41 assuming i is positive.\nAnswer: i**(925\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 16 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 44879835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3\/3 - 5776*r**2\/3 - 2090900*r\/3 - 4158728\/3 = 0.\nAnswer: -721, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1523*w**3 - 16*w**2 - 15*w + 1. What is the hundreds digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1 - 2) + 34 - (-15 - -24))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3532382, 3532383, 3532384, 3532385, 3532386, 3532387?\n\"Answer: f + 3532381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)*p**(1\/8))**(-14\/11) assuming p is positive.\nAnswer: p**(35\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43562, -174511, -392760, -698309, -1091158, -1571307, -2138756?\n\"Answer: -43650*j**2 + j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)\/o)**27*(((o**(-1\/4)\/o)\/o)\/o*o)**50)**(6\/23) assuming o is positive.\nAnswer: o**(-756\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28615 - -50717. List the prime factors of i.\nAnswer: 2, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-3) + 11 + -1. Suppose u + 1 = -2*k, -5*u - 2*k + 10 = -m*k. Do 1 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.741 - -4.089. Let c = -5 + x. Let q = -0.16974 - c. What is q rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1450.006 to zero decimal places.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7 = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - ((1 - 5) + 4)) - -18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -150, 1, -4\/5, -49, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fphj when four letters picked without replacement from jhppfh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-2)*(0 + 2). Let u(z) = 2*z**3 + 34*z**2 - 37*z - 1. Let r be u(-18). Let k = t + r. Which is bigger: k or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/15)\/4)\/(28*7\/(-560))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Let b = r - -3.1. Let j = 7.58 + -7.18. What is the closest to -0.3 in -1\/2, b, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, 38, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000935682 rounded to six decimal places?\nAnswer: 0.000936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1784282*i*p**5 + 25*i*p**2 + 946*i - p**2 + 19*p wrt p.\nAnswer: -107056920*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*g + 49, 3*p = -5*g - 1205 + 1286. Suppose -4*r = -7 - 9. Factor -24\/7 + 52\/7*j + r*j**3 + 104\/7*j**p.\nAnswer: 4*(j + 1)*(j + 3)*(7*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.119099 - -13.\nAnswer: 13.119099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/9 + 15886*n**2\/9 + 184496*n\/3 - 63264 = 0 for n.\nAnswer: -7908, -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/((-15444)\/(-5863)))\/(4\/12*1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 - 3 = 0. Suppose g*z - 2*z = 0. Solve z = 4*h - 9*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3048158?\nAnswer: 2, 1524079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 182070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 493954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78662820.\nAnswer: 2, 3, 5, 1311047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499378 - 69722 = -40*c + 5*c. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + a + 11 - 11 - 10*a + (3*a - 6*a + 4*a)*(1 + 1 - 4))*(a - a - 5*a)*(0*a + a - 2*a) as z*a + h*a**3 + p + s*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150116943 is divided by 111?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y + 14 = 0. Let s(h) = -8*h - 6. Let r be s(y). Suppose -7*g = -2*g - r. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079200 is divided by 269183.\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 148*z = -81*z + 3540 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8949\/5 - 1804. Let d = s - 3\/10. Let i = -178014 - -178000. Is i bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, -405, -3, -2\/9?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 at least -290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 2*u + 0*u)*(2*u + u - 5*u) + 33*u - 16*u + u**2 - 13*u + 1 as v*u + n + o*u**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32668.9823355 + -32669. Round f to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -23*g**2 - 394*g - 43. What is a(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2181564 and 12.\nAnswer: 2181564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/339 - 700\/3729. Let h = -1416 + 1417. What is the closest to 0.1 in -2\/3, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8)\/240*2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1095506137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, q: 10, m: 5}. What is prob of sequence uquq?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.79, 0.3, 6\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477800 rounded to the nearest ten thousand?\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 + (11 - 9) - (-1 - 5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:19 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1030 + -155531\/151. Let g = 1203\/755 - o. Are g and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 240*a + 472.\nAnswer: 2*(a + 2)*(a + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 629159, 1258317, 1887475, 2516633?\nAnswer: 3145791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 + 4*x - 3. Let a(p) be the second derivative of -p**4\/4 - p**3\/3 + p**2 - 14*p. Calculate -7*a(z) - 4*v(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 9*b**2 + b + 13. Suppose -2*p - 17*p = 171. Let i be a(p). Solve 0 = 5*m, -m - 3*m = i*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4320706.\nAnswer: 2, 13, 137, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83)\/((-12782)\/(-528))*7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 - 8*l**2 - 13*l - 6. Calculate y(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559198123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-8) + (-3)\/4)*-52. Let n = -24 + v. Solve -n*f = -6 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405\/90*5\/(-27)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1, 0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 + 45*g**2 + 54. Let m(n) = -11*n**3 + 68*n**2 + 81. Let y(o) = 8*k(o) - 5*m(o). Let w be y(20). Solve -w + 12 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 1158*f + 2063. Let k(w) = -2*w**2 + 579*w - 1031. Let p(n) = 7*k(n) + 4*r(n). Differentiate p(v) wrt v.\nAnswer: 4*v - 579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1927752*d**2*i**2 - d*i**2 + 2224*d*i - 7*d - 16 wrt d?\nAnswer: -3855504*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 674 and 20?\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139385 (base 13) in base 12?\nAnswer: 1b0305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26934, -53876, -80818, -107760, -134702, -161644?\nAnswer: -188586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:44 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose 7 + 5 = n*z. Suppose -a - z = a + 3*i, -3*a + 2*i = -20. Solve -h + 15 - 4 = 5*x, -a*x - 8 = 5*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 3, c: 2, g: 5, m: 6}. What is prob of picking 1 c and 1 m?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weg when three letters picked without replacement from bsewg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 8. Let m be d(4). Suppose -u - 2*j = -4*u + 73, -m*j + 61 = 3*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053382 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/336 + 4*g**7\/525 - g**6\/150 - 15*g**2. Solve j(z) = 0 for z.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + 3)*6 + sqrt(7) - (sqrt(175) + 1)) + 3*(sqrt(1008) + 1)*-4)*1.\nAnswer: -142*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 4)*(54*k**4 + 184*k**3 - 94*k**3 - 88*k**3 - 2) in the form q + x*k + w*k**3 + p*k**4 + o*k**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Let h = 1142.4 + -1154.4. Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333744721 to the power of 1\/2, to the nearest integer?\nAnswer: 18269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let z(k) = 9*k. Determine -2*r(l) - z(l).\nAnswer: -7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-20)*((-182250)\/(-240))\/81\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 5078.173.\nAnswer: -558.59903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 2 t when four letters picked without replacement from {t: 1, h: 1, z: 4, w: 2, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -10*l + 6. Solve -2*s - 6 = -l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2758993, -2758997, -2759001?\nAnswer: -2759005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 9, q: 3, i: 1, d: 3}. What is prob of picking 1 f, 1 d, and 1 q?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85703 + -21759. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87148 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/515 and 45\/230308?\nAnswer: 1151540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(((z\/(z*z\/(z*z**(-4))*z))\/z)\/z)\/z*(z**(2\/7)\/z)\/z*z**3\/(z**(1\/5)*z) assuming z is positive.\nAnswer: z**(-242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -593.433 + 594. Let s = a + -0.077. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -16. Let t = d - 0. Let n = 11 - 6. Which is the second biggest value? (a) n (b) t (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 202 + 94. Let o = -119 + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:03 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 2, -45, 1, 0.1, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 541128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h + 4*h**3 - 5*h**3 + 53*h + (-h**2 + 2*h**2 + 2*h**2)*(4*h + 0*h - 3*h).\nAnswer: 2*h**3 + 41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*1\/(-45))\/(102\/(-1020))*9.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -125. Let k = y + 46. Are k and -32 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4\/5, -102.199?\nAnswer: -102.199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 12:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1343274912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + r - 2*r + 3 - 3 + (-2 + 2 + 2)*(2 - 2*r - 2) - 1 + 1 - r + (5*r - 6*r - 5*r)*(2 + 6 - 7))*(-22*r**2 + 6*r**2 + r - 3*r).\nAnswer: 224*r**3 + 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(256)\/sqrt(8) + sqrt(32) + sqrt(32) + -3)**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 37 = 5*j - 0*j, 5*g - 185 = 4*j. Let l be 1442\/(-70) - 4\/10. Let t = g + l. Is 14 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxklxxxxxnknkx. What is prob of sequence kxn?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868144 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2380 and 578816.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 129*z**2 + 1. Let m be o(-1). Let s = 205 - m. Suppose 0 = 3*k - 6, -5*r + 2*k = s - 421. Calculate the greatest common divisor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)\/(r\/r**(-5)))**(30\/11)*(((r*r\/(r\/(r\/r**1))*r)\/r)**48)**15 assuming r is positive.\nAnswer: r**(7860\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*u**2 - 2*u**3 + 282*u**2 - 1360*u**2.\nAnswer: -2*u**3 - 1746*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 33*a + 15. Calculate c(10).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/8 - x**2. Suppose -3*v - 2*v = -50. Let a(o) = -v + 10 - 2*o. What is r(a(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 277242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - x = 10, -4*x = k + 8 + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*z - 69*z - 810. Let c be (-6)\/15*(-85)\/4. Is z >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from uawwwaa.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1833 + 6?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = c - 2*c + 297, -2*s - 2*c = 136. Let j = 58 + s. Let q be (-39)\/(-12) + j\/(-20). Sort q, 13\/5, 1.\nAnswer: 1, 13\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 550 - 370. Suppose -q = -5*q + z. Round q to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86586?\nAnswer: 2, 3, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/60*(-64)\/96?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3358, -3473, -3586, -3697, -3806, -3913, -4018?\n\"Answer: n**2 - 118*n - 3241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/1)\/(-6))\/((-18)\/81).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922104865.\nAnswer: 5, 10709, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 42*x + 5. Let o(f) = -184*f - 19. Calculate 9*n(z) + 2*o(z).\nAnswer: 10*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((3*(sqrt(104)*2 + sqrt(104)) - sqrt(104)) + sqrt(104)))\/(6*(sqrt(392) + 2*sqrt(392) - sqrt(392))).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 2390.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t)**(-2\/21)*((t**(2\/9)\/t*t)\/t)**(1\/4) assuming t is positive.\nAnswer: t**(-25\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n - n + 2*n)*(3*n - 3*n - n) + (-19*n + 22*n - 24*n)*(n + 3*n - 5*n))*(3 - 4 - 3).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 + 5*t - 4. Let g be f(4). Let l be (-1)\/(-2)*(-2 + (15 - -3)). Solve 4*m - l*m = -g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 54 + 39 = 0. Suppose w*i = 3*x + 1283, 0*i + 3*i - 4*x = 761. Let v = i + -176. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 - 3*c**2 - 1\/6*c**4 - 25*c - 4\/3*c**3. Find k such that x(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6)\/((45\/4)\/3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 105\/13, -9, -4\/7, 427?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:29 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296131.\nAnswer: 17, 76243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660156?\nAnswer: 2, 3, 7, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 9. Let g be (-49)\/3 + (-3)\/(-9). Let i be 4\/g + (-46)\/8. What are the prime factors of b(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -3 (c) 13\/6 (d) 0.4 (e) -2414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 478921 - 478936 + 957857.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/11, 2071 in ascending order.\nAnswer: 3\/11, 0.5, 2071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/33520 and -103\/848?\nAnswer: 1776560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1632186 and -41\/1994894.\nAnswer: 17954046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**6 + z**5 + 97992*z**4 - z**2 - z + 1703 wrt z?\nAnswer: 360*z**3 + 60*z**2 + 2351808*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 10, 0 = 4*s + 7*o - 6*o - 463. Calculate the remainder when 333 is divided by s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 5, 15, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v - 93. Determine z(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, s: 2, o: 1, i: 1, z: 1}. Give prob of sequence cs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 - 609*s**2 + 2 + 305*s**2 + 34*s + 300*s**2 as h*s + l + u*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 + 67*k**4\/5 - 21*k**3\/5 - 67*k**2\/5 + 26*k\/5 = 0. What is k?\nAnswer: -1, 0, 2\/5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1c46 (base 13) to base 8\nAnswer: -10273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45438 divided by 5\nAnswer: -45438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 718 and -0.03339.\nAnswer: -23.97402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21 + 22\/((-159456)\/(-152332)) and -113\/6.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (11 - 5)) + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2161848 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0 + 0 + 2*i**2. Let z(w) = -w**2 + w. Let p be 8\/36 - (-22)\/(-18). Let q(x) = 3*x**2 - x. Let m(n) = p*z(n) - q(n). What is m(r(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let a(t) = -t**3 - t**2 - t - 2. Let y be a(-2). What is the smallest value in y, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + 4221?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.12 (c) 0 (d) -48\/5573\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 348. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 9*s**4\/4 + s**3 - 3*s**2 - 5. Factor y(j).\nAnswer: 3*j*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 9) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r**0*r)\/r)\/r)\/r)**(1\/2))**(15\/8)\/((r**(-2\/5)\/r)**49*((r\/r**(2\/17))\/r)\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(91637\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*a - 20, 3*a = -2*a + 2*n + 10. Sort -3, a, 5, -8 in descending order.\nAnswer: 5, a, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)\/(z**(-3\/5)*z))\/(z**0*z**(-9)\/z) assuming z is positive.\nAnswer: z**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2. Let l(i) = -7*i**2. Let h(v) = -6*k(v) - 3*l(v). Let z(g) be the second derivative of g**4\/12 - g. Determine h(z(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-33)*(((v*(v*v*(v\/v**9)\/v*v)\/v*v*v)\/v)\/v)\/v)\/(((v*v**(-10\/7))\/v*v)\/v)**(5\/7))**(-2) assuming v is positive.\nAnswer: v**(3820\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 7. Let s(f) = f**2 + f. Let x be s(-5). Suppose -4*g = 5*m - 20, -3*m = 3*g + 2*m - x. Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31873 + -764837\/24. Find the common denominator of v and ((-10)\/15)\/(4\/131).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 0.1.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*v - 947, -3*c = 2*c + 5. Let k = v + 655. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let q(j) = j - 101. Calculate q(z(u)).\nAnswer: -u**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and (2 + (-24)\/30)\/((-36)\/(-4560))?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907285 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, j: 5}. Give prob of sequence jtt.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4914832*m**2*p**2 - 3*m**2*p - 12023*m**2 + m - p + 4 wrt p?\nAnswer: 9829664*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -3)\/((3\/2)\/(-3)). Let j = 127 - 128. Which is the nearest to f? (a) j (b) -16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29 and -285.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1413 (b) -2\/7 (c) 0.5 (d) -3.5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.8597 meters in kilometers?\nAnswer: 0.1198597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, v: 1, m: 4, f: 1, t: 8}. Give prob of picking 1 f, 1 v, and 1 z.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (-1 + -1 + sqrt(112) + sqrt(112)))**2 + (sqrt(112) + 4 - sqrt(112))**2 + 3)*-4 + 2.\nAnswer: -538 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08139538 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76131189 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 343, 767, 1361, 2125?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**2 - 2*m**2 - 4*m**2 - 5*m**2 + 4*m**2 + (m - 6*m + 4*m)*(-313 - 18*m + 313) in the form b*m**2 + t*m + o and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/2 + 2427*i**2 + 9717*i\/2 + 2430.\nAnswer: -3*(i - 1620)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944548?\nAnswer: 2, 3, 263, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 81541.4 millilitres in litres?\nAnswer: 81.5414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k, -4*k = -3*n + 17 - 8. What is the remainder when 29 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 267 + -18d5?\nAnswer: -166c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/50)\/(-20*966\/4600)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*w + 455, -343 = 5*d + w - 1461. What are the prime factors of d?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/10 + 1\/2. Let k = 0.35 + -0.35. What is the nearest to 0 in -2\/13, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 + w**3\/3 - 28*w + 1. Factor r(f).\nAnswer: f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/312)\/((-6)\/9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 10*y - 15*y. Let m = -23 - y. What is the least common multiple of m and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuii. What is prob of sequence imui?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.7 - 24.1. What is the biggest value in -0.5, 0.3, -50, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8644340 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:23 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*o - 488*o + 18189 = 0. Calculate the highest common divisor of o and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12348837 and 25\/72720929.\nAnswer: 654488361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 - 5?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/((-22)\/(-156)) + 2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1449 = 5*g + 1298, 0 = 20*g + 2*i + 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -31*p**8\/336 + p**4 - 3*p**2\/2 + 9. Let y(a) be the second derivative of s(a). What is the second derivative of y(u) wrt u?\nAnswer: -620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 1541012.\nAnswer: 1541012.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*k - 12. Suppose -4*y + 20 = -2*s, y + s + 1 + 0 = 0. Sort y, k, 1.\nAnswer: 1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*z - 4 - 3, -69 = -4*c + 5*z. Let r be (-33 + 40)*(-4)\/(-7). Sort r, c, -2 in descending order.\nAnswer: c, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -867262.6?\nAnswer: -867257.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 34 = 2*r. List the prime factors of r\/(-4)*36\/(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82 and -6.39.\nAnswer: -88.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -26596883810059?\nAnswer: 26596883810055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4536*y + 0*t + t - 5*t = 4531*y + 205, -750 = 15*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o - 1. Let v be 18\/(-15)*10\/(-3). Let y be p(v). Let u = y - 6. What is the highest common factor of 119 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 86 + 70. What is the highest common factor of n and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 182, 1, 0, 77, 5 in descending order.\nAnswer: 182, 77, 5, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + 12 + (1 - -5) + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3390 + 3405. Factor 5\/3*l**2 + m + 10*l.\nAnswer: 5*(l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20145 is divided by 1265.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634682 is divided by 561?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let w = -4.7 - 0.3. Let j = -26432\/15 + 1762. What is the smallest value in i, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*m**2 + 571286164*m - 95214360.\nAnswer: -4*(m - 23803590)*(6*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/300 + (-2911)\/(-10). Let d = -257 + g. Calculate the remainder when 66 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.4038 days to microseconds.\nAnswer: 37532488320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 26?\nAnswer: -67\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115.8 + 115.4. Which is the nearest to -0.1? (a) -1\/4 (b) -11 (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -525.811754.\nAnswer: -525.711754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 132\/(-16) - (1 - -1) and (14\/35)\/(-1*(-6)\/230).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.265 - -0.128. Let v = h - 3.863. Let a = 0.1 - 0.5. What is the second smallest value in -2, a, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(v - 4*v + 11*v) + 4*v - 3*v + 0*v + (v + v + 0*v)*(3 - 3 - 1).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 5 (c) -8 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36790)\/5943*28\/(-10))\/(-2).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2445 - -2445. Suppose z - 1 = -0. Solve p = -g + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 12.\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.24469 centuries in millennia?\nAnswer: 2.524469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11859198*p - 11624721 wrt p.\nAnswer: 11859198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 3ba?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -680882 * 2\nAnswer: -1361764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 242, 993, 2242, 3983, 6210, 8917, 12098?\n\"Answer: -r**3 + 255*r**2 - 7*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let t be 0 + 28\/(-10) + 3. Let f = -1.5 + 1. What is the biggest value in f, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -10, -30, -58, -94?\n\"Answer: -4*q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))**(-6))**(31\/3)\/((f**(2\/21)\/((f**(-1)*f)\/f))\/((f**(-3)\/f)\/(f*f**(1\/3)))) assuming f is positive.\nAnswer: f**(-913\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -708 - -713. Suppose -5*k - 4*x + 48 = -22, -3*k = -s*x - 5. Solve 4*b = -2*w - 4, -2*b - b + 2*w - k = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(243))**2 + -1 - (2 + 3*sqrt(243)))*5 + 0.\nAnswer: -135*sqrt(3) + 10916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = -4*j - 2, 2*j = -5*a - 37. Let d be j*(3 - (-14)\/(-4)). Solve -10*v**4 + v**3 + 4*v**2 + 0*v**2 + 8*v**4 - d*v**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291.0938706 - 316.4.\nAnswer: -607.4938706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = 0. Suppose l = r - 5*v - 2, 13 - 5 = 4*r + v. Let g(u) = -7*u + 6*u + 0*u + u**r + 2. Calculate g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:37 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150279787?\nAnswer: 7, 431, 49811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxwxxwxxwwxwxwxxxww. Give prob of sequence xxwx.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 21089861?\nAnswer: 21089861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:19 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:55 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.13. Let a(r) = r**3 - 5*r**2 - 8*r + 9. Let p be a(6). What is the nearest to g in 1\/3, 3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 2, s: 1, e: 5, w: 1, r: 5, c: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4323450, 4323487, 4323548, 4323633, 4323742?\nAnswer: 4323875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -0*s - 3*s. Which is bigger: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -99.5. Let y = 0.7 + s. What is the closest to 0.1 in 0.4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.395865 kilograms to tonnes.\nAnswer: 0.004395865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36aa (base 13) to base 6\nAnswer: 55505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 161 - 29. Does 31 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.475 and -75.\nAnswer: -75.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 27*a**2 - 66*a.\nAnswer: 3*a*(a - 2)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - b = 9, -2*l = 5*b + 10983 - 10989 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2819, -5636, -8453, -11270, -14087, -16904?\n\"Answer: -2817*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -1 (b) -0.06 (c) 0.2 (d) -0.9 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (0 + 38 - -3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 131 + -223 + 149\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312059513 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28795 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 6.262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 546332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 10 - 8) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 415, 525, 741, 1099, 1635, 2385, 3385?\nAnswer: 4671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let f(v) = -4 + 1 + x + 2*v. Let j(n) = n - 52 + 52 - 3*n. What is j(f(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -23*x + 735. What is m(61)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 16*m + 16. Let x be (-1 - m) + 15\/(-3). Solve 1 = -3*j - x*h, -4*j + 0 = -3*h + 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25145233 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-225)\/(-18) + -15)*528\/(-10). Calculate the highest common divisor of p and 1650.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -416*q**2 - 17*q. Let d(h) = -1109*h**2 - 48*h - 1. Let x(a) = 3*d(a) - 8*z(a). Let w(c) = 2*c**2 + 2*c - 3. Let v be w(2). What is x(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94741\/32620 + -482\/233. Calculate the common denominator of -79\/22 and w.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -293*z - 17280. What is f(-59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 + (-22)\/210.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4792 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6eaa + 2e7a?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 11}. Give prob of picking 2 r.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -5*g. Let b(r) = 3*r + r + r + 1 - g*r. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 30?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 112, 138, 164, 184, 192?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -44*q + 305. Determine z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0\/m)**8*m**(-2\/5)*m*m**(2\/23) assuming m is positive.\nAnswer: m**(79\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*w - 29341 = -27*w - 30717 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5452 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhchhhhhxhxxhhxhx. Give prob of sequence hch.\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 28*r**2 - 12*r + 3. Calculate d(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b4f (base 16) to base 4.\nAnswer: -1110231033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113? (a) -1 (b) 2 (c) 103\/3 (d) -2 (e) 16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l - 8. Determine x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009051 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 13. Let p(j) be the second derivative of -j**3\/6 + 2*j**2 - 6*j. Let o(c) = 4*b(c) - 14*p(c). Differentiate o(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0174 + -4.829917.\nAnswer: -4.812517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6830 < -47818\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16364 and -107\/174.\nAnswer: 1423668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = 31. Let j be (-20)\/w*9\/5 - 2. Suppose 5*r + 2*o + j = 26, -2*o = -r + 2. Solve 0 = r*i + i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*5\/(-35) - 396\/(-231) - 41?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 166 + 52. Let f(q) = q**3 + q**2 - 2. Let m be f(6). Suppose 4*t - m = 46. Calculate the remainder when t is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19323 + 38641 - 19318 + 1608*a)*(0*a - 3*a + a)*(-3 + a + 3) to the form w + l*a + s*a**2 + v*a**3 and give v.\nAnswer: -3216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -677\/88 - -86\/11. Is m at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 9*n**2 - 34*n + 246. Let c be o(10). What is the highest common factor of c and 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56 + 19 - -25) + 37\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:13 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -4 + (42 - 12 - 11) - 1 - -21?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 3 + 13*3. Let a = v + -33. Solve t - 12 = a*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -100?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 2*y = 0, 4*k = -4*y + 32. Suppose 4*x + 2*z - 44 = 0, 0 = k*x - 3*z - z - 44. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 28*l - 24. Let f be d(-27). Suppose 0 = -f*c - 3*k + 42, -c - 2*k = 4*c - 70. What is the least common multiple of 12 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oom when three letters picked without replacement from {o: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - 961\/9. Let v be (4 - 2) + 18\/(-10). Which is the second biggest value? (a) 5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 4*h + 84, 4*l + 5*h = -13 + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2 + s. Let u be -4*(-1 - 54\/(-24)). Let c(j) = -12*j**3 - 14*j**2 - 14*j. Give u*c(z) - 70*f(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + n**3 - 2*n**3 + (n + 0*n + 0*n)*(4*n - 4*n + 5*n**2) + 2*n**3 - 5*n**3 + 2*n**3 + 1 - 3*n**3 - 1.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.2 (b) -2 (c) -4\/5 (d) 1322 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29035173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25\/(-15))\/(-5)*-9. Which is the closest to -2? (a) -23 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m\/((m*m**3)\/m))))\/m)\/(m*m**2))**(11\/8) assuming m is positive.\nAnswer: m**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:55 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46807713 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 6. Let p be d(6). Suppose 0 = t + 4*f, -1 - 2 = -2*t - 5*f. Suppose t*q - p = q. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = 4*x, -4*f - 13*x = -16*x + 7. Solve f*h - 3*z + 8 = h, 16 = -5*h + 3*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02948*0.3\nAnswer: -0.008844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 21. Calculate the smallest common multiple of 7 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -42*v + 33*v + 88 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -45\/2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 15 = -1. Let k(v) = -6*v - 7. What is the units digit of k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, r: 2, u: 3}. Give prob of picking 1 j, 1 u, and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49462 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: Is 7419122107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:25 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 170991*c**2 - 85493*c**2 - 85497*c**2 - 75. Give n(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*c + 6*c**2 - 9*c**2 + 2*c**2 + 8*c + 41*c - 3 as j*c**2 + z*c + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 23695, -5, -1, 0 in decreasing order.\nAnswer: 23695, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + 5*q - 15. Let p be (-38)\/(-6) + (-1)\/(-6)*(13 + -15). Give x(p).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:20 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 7*y**2\/2 + 3*y - 15. Let s be f(0). Solve 13 = -s*u + t, 2*t = 3*u + 3*t + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 38, -1, 2, 5 in increasing order.\nAnswer: -1, 2, 5, 11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.509 - 1.009. What is the nearest to 6 in c, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/(z**(2\/5)\/z)))\/z)**(-21)*z**8*(z*z*z\/(z*z\/((z**8*z)\/z)))\/z assuming z is positive.\nAnswer: z**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 13 = 2*g, 48*g - 45*g - 2*v = 29 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 1. Let v(o) = -12*o**3 + 12*o**2 - 12. Give 12*b(k) + v(k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 173 - -3?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - (-5 - -4)) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1019 times -1854\nAnswer: -1889226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65928 and 17688.\nAnswer: 725208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5 + 1 + 3 + 45*a. Let w be x(-1). Let p = -4 - w. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 1378*v + 31*v**2 - 20*v**2 - 1375*v + 2753*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, 4, 0, -5 in descending order.\nAnswer: 149, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 110*z + 46. Suppose -12 = -f + 12. Let x = f + -8. Calculate the remainder when j(-22) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 642*r + 639 = 0. Calculate r.\nAnswer: -213, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*k**2 + 3)*(-16*k + 5*k - 3*k).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (13 - 12 - (3 - -5))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -124.289566 + -0.3\nAnswer: -124.589566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 + 187*s + 122. Give w(63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:08 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = 3*n, 4*i + 3*n = -n + 8. Solve 0 = i*r + 22 - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1255580455*p**4 + 1395195415.\nAnswer: 5022321820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738484763.\nAnswer: 3, 14543, 39847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16 and -69\/1130.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 4*q - 3. Let l = -8 - 2. Let m be (-6)\/(l\/(-6) + -1). Let a be k(m). Calculate the greatest common factor of 105 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrccqrcmrcmc. What is prob of picking 1 m and 1 q?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1198246.4568 to the nearest ten thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15)\/(((-6)\/81)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -3 - 0\/(-5). Suppose -5*j - 104 = -r*f - j, 0 = f + 2*j - 68. Let q = f - 41. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 655 - 660 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41054 (base 6) in base 13?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -7*u - 3*v - 9, 0 = 2*u + 4*v + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*z, -z = 2*i - 10 + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -421393 at least -421396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1312 (base 10) to base 11\nAnswer: a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4134 + 240534?\nAnswer: 232400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2 + 21*f**4 - 20*f**4 + 2*f**2 + 5*f**2 to n*f**2 + r + k*f**4 + g*f + y*f**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((37264\/(-411))\/(-68))\/(((-16)\/(-2))\/((-18)\/17))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 100*s - 1. Let u(h) = 2*h. Calculate m(u(f)).\nAnswer: 200*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 261 = 737. Is 34 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -76*k. Let r(w) = -5*w**2. What is r(l(a))?\nAnswer: -28880*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18\/5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*r)*(22*r - 5*r + 6*r) to c + v*r + u*r**2 and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 4 = 32*q + 3*r, -3*r - 18 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/81)\/(1\/((-6)\/(-4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 6*p + 4. Give v(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 87\/27 - 2\/9. Solve -5*l = q*a - 3*l + 3, 4*a + 5*l - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yygy when four letters picked without replacement from {q: 2, g: 12, y: 5}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - 78) + 28 + 25.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 8 + 9 + 30*r**2 + 15*r**2.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 17*j + 3*w - 130, -3*j + 2*w + 59 = 0. Calculate the remainder when 112 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104309268 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -774100 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 26 = 3*y, 0*y = y + 5*h - 26. Let z = -134 - -99. Let p = z + 40. What is the smallest common multiple of y and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868454941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/161289 and 61\/9.\nAnswer: 161289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -24 - (3 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29011 (base 13) to base 6\nAnswer: 1352021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 0.5, 3, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/13440 and -53\/6160.\nAnswer: 147840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9 or -0.03028?\nAnswer: -0.03028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, s: 5}. What is prob of sequence ssy?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2435687.0119 - 2435563. Let q = k - 124. Round q to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38232 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831813401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743*l**3 + 495*l?\nAnswer: -4458*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*o - 993*o + 262*o + 250*o + 10 + 248*o.\nAnswer: 15*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1147 - 1094. Calculate the remainder when z is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 2 + -1 + -5 + 28 + -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276020119 divided by -18667?\nAnswer: 68357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 12078 and 12078 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.94 + 2.19. Let l = 9.689 - v. Let x = 7.801 + l. Round x to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 0.5. Let u = 25.4 + n. Let i = u - 27.0000029. What is i rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 3\/(-9). Let u = 20 - 79\/4. Let o = 2.6 - 3. Which is the closest to u? (a) q (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -108, -589, -1522, -3057, -5344, -8533?\nAnswer: -12774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06387 - -0.065. Round v to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-3 - 1 + 2)*(14441*o + 2848 - 212*o - 2848).\nAnswer: -28458*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)\/x)\/x*x*x**13*((x**1*x*x)\/x)\/(x**(1\/18)*x) assuming x is positive.\nAnswer: x**(197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p + 14. Let s(a) = 60*a**2 - 16*a. Calculate r(s(i)).\nAnswer: -420*i**2 + 112*i + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 53 + 4*k**2 + 160 - 89.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + 1\/(3\/51))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428235 is divided by 5587.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 192*s + 7029. Give j(49).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26581*h**3 - 12358*h**3 - 21364*h**3 + 5635*h**3.\nAnswer: -54668*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12.391 (b) 0 (c) 6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/60 - k**4\/12 - k**3\/2 - 2*k**2. Let r(n) be the first derivative of v(n). What is the derivative of r(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-1 + -2 + 4). Let m(g) be the third derivative of 0 - 1\/12*g**6 - 5\/6*g**3 + 0*g**5 + 0*g + 6*g**2 + d*g**4. Differentiate m(b) wrt b.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1360*q - 2298. Give v(3).\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57095 and 399665?\nAnswer: 399665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let i = -4.5 + -6.3. Let w = -11 - i. Put w, r, 2 in ascending order.\nAnswer: r, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 11, s: 2, v: 1, d: 2}. What is prob of sequence sd?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*n**3 - 83*n**3 - 78*n**3 + 1081*n**3.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 2 b when four letters picked without replacement from bbovvvhohnvvbvb.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 25846350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -2) + -40 + (-8 - 4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 661 - 277. What is the lowest common multiple of 9 and n?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkgn when four letters picked without replacement from {g: 4, e: 6, n: 1, v: 3, k: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -1 - 65. Suppose -4*g - 3*k = -480, -g + r*k - 6*k = -120. What is the highest common divisor of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 6, v: 2, o: 1, y: 7}. What is prob of picking 1 y, 1 z, 1 s, and 1 v?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x + 7*x - 4*x - 2*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-1) + 611\/47. Let w = -1 + 1.5. Which is the smallest value? (a) 1\/6 (b) w (c) i (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 17*f + 81. Let u be q(8). What is the greatest common divisor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13090\/153 - (-12)\/27 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 108. Let t = -74.957 + d. What is t rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y + 10716 + 13*y**2 + 2*y - 10691. Calculate z(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 12528?\nAnswer: 62640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 367, 715, 1063, 1411?\n\"Answer: 348*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 25948 - 120064. Suppose 0 = 5*t - c - 8978. Suppose 7*g - t = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51736.\nAnswer: 2, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-5 - 10 + 6)*(4*g - 2*g + g + (-84*g + 64 - 64)*(4 - 4 + 2 + (4 - 2 + 0)*(-3 + 6 - 4) + 0 + 2 + 0)).\nAnswer: -4455*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 220143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 11, 53, 135, 269, 467, 741?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 7, -2, -11, -20, -29?\n\"Answer: -9*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 9*n**2 + 2*n - 15. Let f be j(9). Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oom when three letters picked without replacement from xoommxxmmuxxxxx.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 7*m**2 - 9*m - 10. Let i be j(-6). Let c = 77 - i. Is 8 a factor of -2*(-4)\/(c\/(-9) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + x + x)*(5 - 1 + 1) - 97*x + 236*x - 88*x - 99*x - 24 to i*x + o and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 813542234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + 1.95. Let k = 3 - b. What is the nearest to k in -0.5, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5))**2 + -2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:28 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2586 by -1.\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 23 = -8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j - 460. Let q be n(58). Let w = 5 - 7. Which is the nearest to -3? (a) w (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -425, -849, -1271, -1691, -2109, -2525?\n\"Answer: r**2 - 427*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7)*2 + (0 + sqrt(448) - sqrt(448)).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 174*m + 35. Let p be v(7). What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-1 + -3 - (-18 + 16))) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120497\/25032 - 101\/21. Calculate the common denominator of -17\/8 and i.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000070806 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2 - 3*s**2 + 0*s**2 - 10*s**4 + 7*s**2 wrt s?\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -50622*d + 1. Let z(p) = 55*p. Give j(z(a)).\nAnswer: -2784210*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, -1, -32, -75?\n\"Answer: -6*y**2 - y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v - 6. Determine f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n + 18. Let t = -82 - -74. Let x be y(t). Let w(p) = -p**3 - p**2 + 14. Let l be w(0). Calculate the greatest common divisor of x and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -31. Let c = -2 - x. What is the second biggest value in -1, c, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -28 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n - 2*x + 2808 = 50*n, n + 3*x - 936 = 0. What is the highest common factor of 216 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-1))\/((-161)\/(-253)) and (-2)\/(-15) - 1632\/3465?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 1. Let k(m) = -m**3 - 3*m**2 - 3*m - 3. Let f be k(-2). Let s(a) = -a + 1. Let q(l) = f*y(l) - s(l). Let r(i) = -i**2. Calculate r(q(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1438751947 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + 2*g + 6. Let c be h(-3). Suppose 0 = -6*d + 9*d - c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.12 - 1.12. What is the second smallest value in n, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 1.672.\nAnswer: -0.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/12 + f**4\/24 - f**3\/6 + 2*f**2. Let t be d(3). Let g = t - 8. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1703*i + 1701*i = -2, -5*i = x - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r**2 + 47*r**2 + 64*r**2 - 5*r**2.\nAnswer: 160*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (7 - 3) - -8. Solve 0 = 3*n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-6)\/16)*24\/18. Let n(j) be the first derivative of 0*j - r*j**2 + 0*j**3 + 3 + 3\/5*j**5 + 0*j**4. What is the second derivative of n(o) wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -33.032. Let i = x + 0.032. What is the biggest value in 2, -2\/5, i, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243)*1 + sqrt(243)))**2 + (-5*(sqrt(243) - (sqrt(243) + 0)))**2 - ((-1*sqrt(33)*-3)\/(sqrt(11) + sqrt(22)\/sqrt(2)*1))**2.\nAnswer: 97173\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 810692, 1621379, 2432066, 3242747, 4053416, 4864067, 5674694, 6485291?\n\"Answer: -n**3 + 6*n**2 + 810676*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)**(-42)\/((l\/l**2)\/l)**(-2\/11))\/(l\/(l**4*l*l)*(l\/l**(1\/8))\/l*l*l*((l*l\/(l**2*l)*l)\/l)**49) assuming l is positive.\nAnswer: l**(8251\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 17*m**2 - 18*m - 4. Let j be p(-18). Is 75\/12*j\/(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -205 (c) -2\/83343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162447, 324926, 487413, 649908?\nAnswer: 812411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-5))\/(3\/4). Let r be ((-20)\/n)\/((-2)\/(-4)). Calculate the highest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.17 + -0.17. Let k = y + -8. Let x = -0.1 - -0.1. Which is the third biggest value? (a) k (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*y**4 + 23\/2*y**2 + 19\/3 + 131\/6*y - 40\/3*y**3 = 0 for y.\nAnswer: -1\/2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 28 + 76 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 246. Let g(u) = -3*u + 3. Let z be g(-8). Calculate the highest common factor of z and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 177\/6 - 0\/6 and 41\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -79. What is the third biggest value in s, -1\/8, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -38. Solve -g = -2*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42 - 19\/(-35)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.4, -0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzez when four letters picked without replacement from zzzzezzzezzzzze.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138 + -1 - (-10 - 7)) + (32 - 23)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 2*y**2 - 12*y + 109. Give v(7).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4668532 - 3?\nAnswer: 466852a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**3 - 2*c**2 + 8*c - 6. Let b(m) = 0*m - 2 - 2*m**3 + 32*m**2 - 90*m**2 + 25*m**2 + 32*m**2 + 3*m. Determine 8*b(o) - 3*s(o).\nAnswer: 2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + w - 274. Let u be k(-12). Solve 6*q - 4*q + 5*g = 11, 2*g = -u*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/2 + 31*r**4 - 67*r**3\/2 - 4549*r**2 - 14008*r + 18560 = 0.\nAnswer: -8, -5, 1, 16, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 5716\nAnswer: -2286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 0.03. Let n = 0.08 + h. Let a = -459 - -454. What is the closest to n in 6, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5e8 (base 15) to base 14\nAnswer: -6bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 874632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22021021 - -110?\nAnswer: -22020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123808 - 123226.17. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -16.3. Suppose -29*q + 5 = -24*q. Sort q, h, -3 in increasing order.\nAnswer: -3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*m**3 + 2055358485*m**2 + 42244984402007400*m - 25346991381133500.\nAnswer: 5*(m + 41107170)**2*(5*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 0.05721237.\nAnswer: 2.05964532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 125637?\nAnswer: 879459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2102661610?\nAnswer: -2102661603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-144*r - r**2 + 146*r + 2*r**2).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*1*3 + sqrt(68) + (4*sqrt(68)*2 - sqrt(68)))\/(-5*sqrt(28)\/(-1*-1*sqrt(7))).\nAnswer: -13*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4.4.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 - 20666*k**3 + k**2 + 5*k + 10965793 with respect to k.\nAnswer: 8*k**3 - 61998*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2075 and -184118?\nAnswer: 382044850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/(-14) + -9 - 4\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + -19. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 777, 776, 775, 774, 773?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 300330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1335994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 37340*p**2 + 2*p**3 - 37371*p**2 - 9*p.\nAnswer: 2*p**3 - 31*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let r(x) = -12*x - 3. What is 3*d(k) + r(k)?\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -1)*3 + 3)**2*-2*4.\nAnswer: -19584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3064875 and 2043250.\nAnswer: 6129750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-14\/3))\/n*n**15)\/(n**37)**(43\/2) assuming n is positive.\nAnswer: n**(-4711\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19935\/2 + 59803\/6. Sort 0.1, 1, j, -4, 21 in increasing order.\nAnswer: -4, j, 0.1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 12. Let j be c(-12). What is the second derivative of j*b**5 + 7*b**5 - 6*b - 12*b**5 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*2*36\/2*(-106)\/(-159)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10) + -1 + 2 + -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/8, -2\/13, 4, 61?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-40*28\/(-1344))\/((-34)\/306)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 25 + -8 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/7 - -1 - 4007832\/(-287)?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-24) + 356\/32. What is the remainder when 18 is divided by 42\/28 + x\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -12) + 9 - 10 - 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/45*(-9)\/6.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 284 = 236 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -648*f - 1. Let t(y) = y. Let j(h) = -2*d(h) + 22*t(h). Let a be j(11). Round a to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*n + 53. Let u(r) = -r**3 - 9*r**2 - 2*r + 9. What is the remainder when u(n) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/35)\/i)\/i*(((i\/(i**(-2\/41)\/i))\/i)\/i)\/i*i*(i\/i**(-15)*i*i*i)\/i**(4\/7) assuming i is positive.\nAnswer: i**(23686\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29231 divided by 3174\nAnswer: -29231\/3174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19865823 - -19865887.098018. Let d = -64.038 + i. Let k = d + -0.06. Round k to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.952192 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000827 to seven dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 110.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 19*v + 20. Suppose -j - j - 37 = y, 42 = -3*j + 3*y. Give f(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 8 - 10*i - 1\/3*i**3 - 11\/2*i**2. Let q be l(-10). Which is greater: q or -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**5 + 248*z**4 + 968*z**3 + 988*z**2 + 94*z - 180 = 0. Calculate z.\nAnswer: -2, -1, 1\/3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619558581, 619558582, 619558583, 619558584, 619558585, 619558586?\nAnswer: 619558587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38317 is divided by 353.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 4*z**2 + 11*z - 5. Let b be t(-6). Suppose -p - p = p. Let s be p\/(5 + -4 + 1\/b). Solve s = -3*f + 3*n - 3, 5*n = -3*f + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2645273, 0.2, 3.\nAnswer: 0.2, 3, 2645273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:44 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80? (a) -2 (b) 0.3 (c) -28 (d) 9 (e) -797 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58485 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 + -3.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10052.874 - -10042. What is n rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 70*x**2 + 18*x + 13. Determine y(23).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21\/t**(-10))\/(t\/(t**(2\/25)\/t)*t**(4\/23)) assuming t is positive.\nAnswer: t**(16621\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2147 = 10*c - 953. Suppose 7*t - c = 2*t. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.53 + 0.17. Let n = 4.42 - w. What is n rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -23. Let q(l) = 58*l**2 + 1. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 5*h + 3*v + 274, 4*h - v = -320. Let o = h + 163. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -i, 11 = -4*i + w + 8. Let t = -0.17 - -0.27. Which is the smallest value? (a) t (b) 0.08 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*l + 26, 3*b - 5*l = -580 + 614 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 75 = -2*t, 2*t - 33 = -b + 48. Let d = t - 22. Calculate the smallest common multiple of d and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(8\/3)\/((-742)\/159)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6430 divided by -3215.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 229, 10, 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/64)\/((-5)\/8)*(1007\/(-38) + 21)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1448316 by -160924.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 49 - 36*c**2 - 41 - 46.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 7573499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**2 + 1 + i**3 + 1 + i**2 + 1. Let h be x(8). Suppose 0 = 3*m + h*z - 45, -3*m = z - 7 - 30. What is the least common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 1\/14, 21, -4\/13, -8, 0?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/10 - 1)*5. Let l be (0 + o)\/2 - -2. Suppose 2*b + 177 = 5*a, l*a - 133 = b - 26. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) 6 (b) -1\/2 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by (12\/24)\/((-2)\/(-96)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2457*z - 44237. Give v(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281.217*-2.\nAnswer: -562.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/6 - 13*q**3\/6 - 13*q**2. Let w be i(-4). Suppose -5*p - w*g = 2*g - 435, -4*p = -3*g - 334. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 476?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13705, 54741, 123185, 219037, 342297, 492965, 671041?\n\"Answer: 13704*k**2 - 76*k + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4*x - 165*s**4 - 3*s**2*x + 10*s*x - 2*s + 20*x wrt s.\nAnswer: 24*s**2*x - 1980*s**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 35\/(-14))*-6. Solve j*q + b - 3 + 7 = 0, -4*b + 1 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*n - 33. Let c = -83 + 93. Let q = c - n. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cylz when four letters picked without replacement from {z: 1, y: 2, c: 6, l: 3, b: 1}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1)\/(1\/6). Let o be (-3)\/(-12)*-2*t. Suppose 4*h = o + 1. Calculate the remainder when 1 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 941, 1033, 277, -1327?\n\"Answer: -424*o**2 + 1364*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*y + 8, -3*t + 2*t = 5*y - 14. Suppose -4*g + t*r = -1424, 3*r - 4*r = 5*g - 1762. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 7:23 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 183 - 663 = 0. Calculate the remainder when 64 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:04 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i - 65306 = -61058 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919729 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0 - 17?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 873569 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/35 - 1\/5. Sort 0.15, n, -2 in descending order.\nAnswer: n, 0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 + 651*i - 86. What is u(43)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8406 * 0.01.\nAnswer: -84.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 2054.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3110221 (base 4) to base 6.\nAnswer: 143001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3, -x - 2*b = -7*b - 41. Let p(t) = 1 + 6*t - 4*t - t + 5*t. Calculate the remainder when x is divided by p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 4\/(-5) + (9672\/65)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let t(p) be the second derivative of 0*p**2 + 0*p**3 - 1\/12*p**4 + 3*p + 0. Determine a(t(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/6 and 71\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747 + 749. Solve -u*x + 0 = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1006570 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 - 266\/(-18). Let s be (-193)\/13 - 12\/78. Let z = s + t. Sort z, -2, 2 in increasing order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*a + 1 + 2, 5*x - 5 = a. Let t = -9 + 13. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 129, 1\/2, -6\/2653 in descending order.\nAnswer: 129, 1\/2, 1\/4, -6\/2653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 16 = 0, -5*k = 134*j - 130*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/102 - (0 - (-380)\/(-24)). Calculate the highest common factor of j and 5248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 42*q + 373. Determine p(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (3 + -3 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57733292*h**2 - 5*h + 5335025?\nAnswer: -115466584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 175*b + 99*b + 90*b as q*b + v and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290*f**2*i + 4*f*i - 4*f + i wrt f?\nAnswer: 580*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*p**5 - 6*i*p**4 + 2*i*p + i - 3*p wrt p.\nAnswer: 40*i*p**3 - 72*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 2*j + 23*j + (-5*j + j - 2*j)*(1 + 4 - 4) to s + c*j and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/9 - 56*j**2\/3 - 1118*j\/3 + 7396\/9 = 0 for j.\nAnswer: -43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-18) + 4\/18. Suppose -2*a + 5 = -4*a + 3*s, f*a = -4*s + 18. Suppose -2*z + 880 = a*z. Round z to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-20) + (-4)\/10. Let v be 5 - (2 + d\/1). Suppose -3*l - 8 = -v*i, 5*i + 5*l - 12 = 8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/12 - 143*b**2. Let j(a) = 11*a. What is j(l(p))?\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -20*k + 23*k. Let u = k + 30. Let w(c) = -c**3 + 3*c + 2. Give w(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -7057116?\nAnswer: -7057111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 36 + 49 - 135 + 384*z**2 to the form s + p*z + u*z**2 and give u.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227667 is divided by 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3922212 divided by 74004.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 12:03 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2808 = -42*r - 5*r - 25*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 132. Let b(o) = 3*o - 1. Give b(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffhaa. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x\/(((x**0*x)\/x)\/x)))\/(x*x*x*x**(2\/3))**(-15) assuming x is positive.\nAnswer: x**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95\/14, 2, 3\/43, -7\/2.\nAnswer: -95\/14, -7\/2, 3\/43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26891 + 27697 = 9*p + 17508. Is p a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -19*t**4\/4 + 188*t**3\/3 - 379*t**2\/2 - 42*t + 43. Factor u(l).\nAnswer: -(l - 7)*(l - 3)*(19*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 0.66. Let b = 0.70000064 - d. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 0\/(-1 + 0). Let i = -406 - -419. Solve -i = -r*j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a hour?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 9. Let o be r(3). Let h(l) = l**2 + l - 1. Let t be h(o). Solve -3*x + 40 = -5*k, 5*x = t*k - 10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271903204.89999442 - -271903209. Let p = g + -4.1. Round p to seven decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 24*s + 81*s - 1147 + 6069 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140684, -2281363, -3422042, -4562721, -5703400, -6844079?\nAnswer: -7984758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 5 + 3*s + 4)*(2 - 2 - 3).\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*n = 500*n - 238. Let l(b) = -7*b + 11. Let o(s) = -s + 2. Calculate n*o(x) - 6*l(x).\nAnswer: 8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 34. Let n be 2*-2 + (-2 - 3074). Let i be 1\/(8\/(-20) - 1252\/n). Calculate the highest common divisor of w and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*j = 5, 0 = -2*o - o + j + 11. Suppose -5*n = -37*i + 41*i - 95, 4*i - n = 77. Solve o*q + 0 = i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f - 29. Calculate m(-10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 + 5*y**3\/3 - 2*y**2. Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 68aa?\nAnswer: -68a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f + 12*x - 15*x, 2*f + 2*x = -16. Let s(t) = -6*t + 6*t - 7*t - 13. What are the prime factors of s(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, -45, -313, -783, -1509, -2545, -3945?\nAnswer: -5763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 4*b + 2. Suppose 0*j = -4*j - 3*r + 14, 16 = 4*j + 4*r. Let v be x(j). Solve 4*n = 2 + v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g + i - 12, 4 = -2*g + 4*i. Let o be 2388\/252 - (-1 + -4)\/(-35). Solve -4\/3 - 32\/3*q**g - 4*q**4 - 2\/3*q**5 - o*q**3 - 6*q = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 136773*d + 136771*d + 28 = 0, -2*d = -6*o + 4*o - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 9. Let i be j(-12). Suppose -2*z + 46 = -5*a + a, -i*a - 4*z - 18 = 0. Is (-190)\/1*5\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*a + 3*b, 376*b - 82 + 94 = -4*a + 373*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -444, -767, -1080, -1371, -1628, -1839, -1992, -2075?\n\"Answer: 2*u**3 - 7*u**2 - 316*u - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 4\/5, 3026\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3196196 to the nearest 10000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22) - 2\/110?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 50, 150, 338, 644, 1098, 1730, 2570?\n\"Answer: 5*l**3 - l**2 + 10*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5648 + 5653. Factor 10\/9*i**4 - 20\/9*i**3 - 2\/9*i**f + 2\/9 - 10\/9*i + 20\/9*i**2.\nAnswer: -2*(i - 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 354*h**2*u - 2*h**2 - 26*h - 65627*u + 7 wrt h.\nAnswer: 708*h*u - 4*h - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550141463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = 5*t + 4, -3*r + 3 = 5*t. Let a(x) be the third derivative of -x**6\/24 + x**5\/30 - x**4\/12 + x**3\/6 + 3*x**2. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let m(z) = -7 - 4*z**2 + 1 + 4 + 5 + 1. Determine m(a(n)).\nAnswer: -4*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -174778276 and 10.\nAnswer: -174778266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 + 9 = 0. Put q, 4, 13 in decreasing order.\nAnswer: 13, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9078*m = 9035*m - 215 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from xdd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101302324 (base 5) to base 15.\nAnswer: -833ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uuuuyuyu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)*(p\/(p\/p**(-1\/2)))\/p assuming p is positive.\nAnswer: p**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -5*u**2 + 16*u + 14. Let n be q(3). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 2\/3, -0.152, -1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 43 = 10. Let i be q\/7 + (-2)\/(-7). Suppose -5*g - 3*m + 80 = 0, -i*m + 59 = 3*g - m. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1618.1 + -1795. Let a = 159 + p. Let q = a + 18. Which is smaller: 10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947719 is divided by 438632.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250461?\nAnswer: 3, 17, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -0.027 (c) 4 (d) -1\/7 (e) -0.2 (f) -4 (g) -1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 7}. What is prob of picking 2 r and 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3 - 274*d**3 - 128\/3*d + 598\/3*d**2 + 120*d**4 = 0. What is d?\nAnswer: -1\/20, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 721776*m**4 - 575*m**2 + 258*m?\nAnswer: -60*m**2 + 17322624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187326.659989 - 187327. Let g = l - -0.34. What is g rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16720 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 10. Let o(z) = 4*z**2 - 4*z + 3. What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*132\/3135*(-38)\/12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 22825339?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 444557?\nAnswer: -3\/444557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 11 - 9 + 1642*x**2 + 43 in the form j*x + l*x**2 + o and give l.\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = -5*i, -5*i + 15 + 0 = 5*v. Let x = 7 - v. Suppose -9*m = -x*m - 2. Solve -m*j = -3 - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/12 - p**2 + 3*p + 1. Let o(r) be the first derivative of m(r). Differentiate o(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let c(i) = -2 + i**r + 5*i + 7*i**2 + 1 + 4. What is the units digit of c(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*t = 117*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from cccclllcllcllcllcllc.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h. Let s be l(7). Let v(m) = 2*m**2 + 8*m + 16. Let a be v(-3). Suppose -15*w = -a*w - s. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - c - 5 = 0, -c - 1 = 0. Solve -4*j + 16 = -a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4217 + 11244. List the prime factors of z.\nAnswer: 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94636 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (2\/4)\/((-225)\/(-397362)). Let f = 885 - r. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 3 - -1*3. Let m be 24\/10 + -2*i. Do m and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from jrpusii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 26961817*i\/3 - 17974546\/3.\nAnswer: (i + 8987273)*(3*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*i + 306446 = 305150 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8*g - 1803. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (7 + -34 - -1) + 7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 8*q - 133. Let y be z(-8). Is (184 + y)\/(3 - (-150)\/(-51)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 16 - 17 + 22*k**3 + 9*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 38. Suppose -2*i - 4*j = 2, 2*i - 81*j + 16 = -78*j. Let q = i - r. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*f*z**3 - 5*f*z + 13*f + 7*z**5 - 2*z**2 wrt z?\nAnswer: 228*f + 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6044615 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8768 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -356 (c) -4\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a = 37*a + 8704. Suppose -24*g = -1096 + 328. Calculate the greatest common factor of g and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 249380053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 2. Let i be x(5). Let q = -860 + 884. Is i at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*d**2 - 179*d**2 + 588*d**2)*(2*d + d - d).\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 6*q - 15. Let u be v(-6). Which is bigger: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000112746 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -0.124, 0, -12.33, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 169\/6. Let y(z) be the second derivative of 1\/20*z**5 - 4*z + 0 - 1\/3*z**3 - 1\/2*z**2 - r*z**4. Determine y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/34 + -225\/238. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -444, -6, 2\/3, -23 in descending order.\nAnswer: 2\/3, -6, -23, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 + 334*m**2\/5 + 14432*m\/5 + 40344\/5.\nAnswer: 2*(m + 3)*(m + 82)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/2009011 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23334450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5226 divided by -39\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 7761*p**3 - 15519*p**3 + 9*p + 7737*p**3 - 4*p**5 + p**5 + p**5 + (0*p**2 + 0*p**2 - 2*p**2)*(4*p**3 - 6*p**3 + 4*p**3).\nAnswer: -7*p**5 - 21*p**3 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/6 + (-4)\/(-12). Suppose 0 = 4*h - 39 - v. What is the highest common factor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20 + 3 + (4 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 - -3. Let n be (1 - -118*1)*1. Let t be (-1)\/(-1) - 133\/n. What is the third biggest value in u, 0, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -495 - -1089. Let u = c + -266. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + a - 1. Let y(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/3 - 3*h**2. Let b(j) = -2*v(j) - 3*y(j). Let s = -14 + 11. Give b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1*(-14)\/4)*-180. Let a = j + -135. What is the remainder when a is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277974265 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - -80) + (21 - (0 + 2)) + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a030a5 (base 11) to base 7\nAnswer: -16503225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 34 = 5*r, -3*r + 0*g - 16 = g. Let l(i) = 7*i + 3. Let z(j) = 6*j + 2. Let q(f) = r*z(f) + 5*l(f). Let s = -21 - -24. Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5 + 1671*l**4 - 131415*l**3 + 2516025*l**2 - 13659750*l = 0.\nAnswer: 0, 10, 15, 65, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:15 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 9)*(-3*s - s + 2*s)*(-3*s + s + 3*s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -114*b**2 - 22*b - 71. Let y be o(-3). Let f = y + 1882. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:27 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:36 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - (1*sqrt(104) - sqrt(104))*6) - sqrt(104)) + sqrt(104)*3*4)\/((sqrt(896)*1)\/(sqrt(77)\/(sqrt(11)*-2) - sqrt(7))).\nAnswer: -33*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 5*d - 21, 4 = l - d. Let m be (-61)\/122*(l - (-2)\/3). Which is the closest to 1? (a) m (b) 4\/13 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414181*k**3 + 127641*k**3 - 3632724*k**3.\nAnswer: -3919264*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -232?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011102 - 120?\nAnswer: 22010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) 2442 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r + 3. Let k(i) = 44*i - 10. Calculate -5*k(l) - 16*w(l).\nAnswer: 20*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/801750 and 131\/60?\nAnswer: 1603500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/2*12\/(-18). Suppose 3*j = 5*p - 165, -2 = j - m. Is 4 a factor of (3\/4)\/(3\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 0*z + 0*z)*(-21 + 10 - 53).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**2 + 298*h - 68. Determine a(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 101*u**3 + 1002*u**2 + 20*u + 38. Give n(-10).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 808290797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 2. Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 13*n - 9. Let r be d(8). Let t = 69 - r. Let s(h) = h + 8. What is s(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/10 - f**4\/6 + f**3\/3 - f**2 + 7*f. Factor o(d).\nAnswer: -2*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 29. Let x be j(-21). Suppose -x*l = -107 - 1061. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 185975, 185987, 185999, 186011?\n\"Answer: 12*u + 185963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262483450 rounded to the nearest one hundred thousand?\nAnswer: -262500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -100?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 273*t**2 + 371*t - 1097. Is 3 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:59 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/13 and 52\/38445.\nAnswer: 499785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -772, -34, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651080?\nAnswer: 2, 5, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z - 4*z + 16*z + 24. Let r(l) = l**3 - 6*l**2 - 6*l - 5. Let i be r(7). Solve -4*j = -5*c - 4 + z, 14 = 4*c + i*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212593.\nAnswer: 212593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 41*a**3 + 87*a**2 + 161*a - 6. Determine v(-2).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-312)*(-3)\/(51\/(-4))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289058361 or 289058362?\nAnswer: 289058362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0. Let k = -1.1 - 2.9. Let p = k - -5. What is the nearest to 0 in p, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 15 = 6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22704 divided by -129\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(448) + -1 + -1)*-3)**2.\nAnswer: -288*sqrt(7) + 4063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icjyr. Give prob of picking 1 r and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -3*(-1)\/3. Let h be -1*(i + -1) + -1. Put 0, 3, h in ascending order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 60.1, 1, 75, 1\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 - 12?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 14 = -11*v. Let n(z) = -z**3 - 2*z**2 + 2. Let c be n(-2). Let u(r) = -4 - 1 + 2*r + r**2 + c. What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-6 - -3 - -6) + -4 + -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445 (base 11) in base 7?\nAnswer: 16124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2 - 0) + (10 - (19 - 27))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/42 - 7*j**6\/6 + 403*j**5\/20 - 1685*j**4\/12 + 1148*j**3\/3 - 490*j**2 - j - 736. What is a in c(a) = 0?\nAnswer: 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1194, -2388, -3582, -4776, -5970?\n\"Answer: -1194*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/209? (a) 2\/7 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -33*q - 6912. Let c = -8 - -11. Suppose -5*g = c*g - q. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 579066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247639088 - 142760886. Let q = 104878136.999899 - u. Let g = q - -65. Round g to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100031130 (base 4) in base 16?\nAnswer: 1035c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39*-19.25\nAnswer: 750.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l + 4*y = 28*l - 16, -3*l - y - 4 = 0. Let r be -1 + 2 + 10 - -2. What is the units digit of l - r\/(-2)*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**4 - 4*r**3 + 71*r - 4. Let o(i) = 16*i**4 - 9*i**3 + 141*i - 9. Let d(g) = 4*o(g) - 9*s(g). What is the second derivative of d(q) wrt q?\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445539 + 26*v + 445539.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*b = -40, -5*w - b + 38 = -2. Let z(v) = v**2 - 9*v - 10. Give z(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (8 - 19) - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -74*g**2 - 7993*g - 419. Give x(-108).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2592 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v**4\/4 + 10629*v**3\/2 + 7059*v**2\/4 - 4725*v - 2361 = 0. What is v?\nAnswer: -787, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(0 - 1 + 0)*(-1 + 3 + 0)*(3 - 3 + 4*r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-16) + (-959)\/28. Sort a, 16, -1 in ascending order.\nAnswer: a, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/3*3\/2. Let l = 1 + -1. Let h = l - q. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 11*r**2 - 12*r - 16. Determine y(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**3 - 10*b**3 - 24*b**3)*(-b - 2*b + 2*b).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - -11) + -64 - (0 - (-2 - -127))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u = 67 - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -13.9. Let w be 76\/16 - (-6)\/(-8). Suppose 11*j - 10*j = -w. What is the closest to -2 in n, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -14*g + 11*g. Suppose -4*i - g*v + 7 = -4*v, i + 3*v - 5 = 0. Sort 3, i, 0.8, -0.3 in decreasing order.\nAnswer: 3, i, 0.8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 15. Let a = 7 + d. Suppose -3*g + a*i + 5*i = -41, -3*g - 3*i = -81. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a, 4*s - 5 = -3*a + 3. Suppose c = 0, 2*j + c = s + 15. Suppose -3*b + b = 3*g - 13, -2*b + j = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 15. Let j(o) = 7*o**3 - 5*o**2 - 5*o. Let y(q) = 6*q**3 - 4*q**2 - 4*q. Calculate l*j(d) - 5*y(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*b + 904*b - 30335 = 7489 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 7135?\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3875752, 3875716, 3875658, 3875578?\nAnswer: 3875476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6 - 28385\/(-10)) + 0. Let t = -1666 + f. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) 0 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 42 = -5*m, -4*a + 2*m = -2*m - 64. What is the remainder when 280\/42*(-48)\/(-10) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (((-6)\/5)\/(729\/42525))\/(1\/(-636))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252)\/sqrt(4) + (1 + sqrt(448) + sqrt(448) + sqrt(7) - sqrt(7)))**2*2.\nAnswer: 76*sqrt(7) + 5053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 27. Let k(i) = -152*i + 74*i + 78*i - t*i**2. Let o(g) = 26*g**2 - g. Determine -11*k(l) - 2*o(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r*r*r**(4\/9)*r*r))\/r))\/r**(-7))\/(r**(-2))**(-2\/123) assuming r is positive.\nAnswer: r**(4949\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**2*v**3 - 72*c**2 + 2*c*v**2 + 680*c*v + 9*c - 1280853*v**3 - v wrt v.\nAnswer: 30*c**2 - 7685118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -4 (b) -1 (c) 1 (d) 2\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 22 + 8 = 4*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19 + 15 - (0 + -3 + 126). Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isii when four letters picked without replacement from isssisisssiiiiisiiis?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 - 296. Solve -5*y + 2*o - 5 = 4*o, -6 = -n*y - 3*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z + 4. Suppose 0 = 3*g - 2*d + 3 + 10, -4*d + 8 = 0. Let w be c(g). Let q = w + -27. Calculate the remainder when 16 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2*n + 23, -38*o - 4*n - 76 = -42*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171360000 rounded to the nearest 1000000?\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8043\/130 + 712\/13. Let z = 45421\/14 - 3239. What is the common denominator of s and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 87624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myymvysqmkmmmvsyvv. Give prob of picking 1 m and 1 s.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -477, -779, -1083, -1389, -1697, -2007, -2319?\n\"Answer: -g**2 - 299*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36283.\nAnswer: 13, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5327*v**2 + 1 - 5327*v**2 + 7*v**3.\nAnswer: 7*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 8) to base 10\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/((-223630)\/(-132)))\/((-1)\/5)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2700)\/800*4\/(-18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 y when three letters picked without replacement from {l: 2, u: 1, y: 1, o: 1, n: 3, i: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917.\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1280*w + 2748.\nAnswer: -1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 - (-576)\/(-56). Let c be 5\/(5\/(-4)) - (z + -10). Calculate the greatest common factor of 128 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77744)\/(-2712)*9\/6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433 - 434. What is the third biggest value in a, -3\/4, 1, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(51) - -1*sqrt(4131)) + sqrt(51) - (sqrt(51) - 6*(sqrt(51) + sqrt(1275))))\/(-4*(sqrt(192)*-1 - (-1*sqrt(36))\/sqrt(12))).\nAnswer: 5 + 23*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*p + 4. Suppose p*x = 7*x. Sort -1, 5, x.\nAnswer: -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -202*h + 205*h. Put 2, -5, h, -14 in ascending order.\nAnswer: -14, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1860 - 2620. Let f = z - -775. Let b = 72 - 33. What is the remainder when b is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72463558*h**3*i**3*t**2 + 2*h**2*i**3 + 15*h**2*i*t**2 + 22*h**2*i*t + 3*h*i**3*t**2 - 2*i**3*t**2 - 58*i**2*t**2 - 1 wrt h.\nAnswer: 434781348*i**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -16*f - 53. Calculate h(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - h)*(-h**2 + 0*h**2 + 2*h**2) + 6*h**3 - 4*h**3 - 7*h**3 - 844 + 844 + 61*h**3.\nAnswer: 54*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f**9)\/(f\/f**(14\/3)*((f\/((f*(f\/f**(-2\/15))\/f*f)\/f))\/f)\/f*f) assuming f is positive.\nAnswer: f**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/((-2)\/(-1))*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 258\/(-18))\/(4\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**8\/8400 - 4*z**7\/1575 - 7*z**6\/900 + 23*z**4\/6 - 2*z - 48. Let o(d) be the third derivative of n(d). Factor o(a).\nAnswer: -4*a*(a + 1)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - 0.04. Let i = 1 - 0. Let r be ((-1)\/(-4))\/(12\/(-32)). Which is the nearest to i? (a) -0.2 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34305.58kg?\nAnswer: 34305580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5\/3 - 96*u**4 + 1628*u**3 + 10952*u**2\/3.\nAnswer: 4*u**2*(u - 37)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-2*(-4*sqrt(7)*-5*-3 + -2*-5*sqrt(252)))**2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-5) + -2 + 24\/10. Solve -i*h + h = -3*a + 14, h = 4*a - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -2 + 1887\/684. Let u = n - -22\/19. Let b be 4\/(-6)*6\/12*-3. Is b not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**6\/240 - o**5\/160 + 5*o**4\/96 - o**3\/16 - 149*o - 39. Let n(x) be the first derivative of i(x). Factor n(p).\nAnswer: -p*(p - 1)**2*(p + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -11, 198, -1, -8, 3 in decreasing order.\nAnswer: 198, 3, -1, -8, -11, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 = -1. Suppose 8*h - 5*h - 9 = 0. Suppose -h = 7*q + 4. Sort m, q, 3.\nAnswer: q, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594015 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: Suppose 2*q = -q + 48. Let p(d) be the third derivative of -41*d**4\/24 - 146*d**3\/3 + 571*d**2. What is the remainder when p(-9) is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110100011110010 (base 2) in base 13?\nAnswer: -12b178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(1 + 1 + 0) + (-2463 + 925 + 1177)*(-3*p + p + p).\nAnswer: 357*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.2. Let r(x) = -x**3 + 7*x**2 - 12*x + 5. Let k be (-176)\/(-33) + (-1)\/3. Let m be r(k). Which is the nearest to 0.4? (a) 5 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -17. Let x = 23921 + -23919. What is the third derivative of -31*b**x - 3285 + 3285 - m*b**4 wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 0.4 (c) -2 (d) 117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Let i be (v + 4\/12)*6. Suppose -5*u = -i*u - 48. What is the greatest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -1, 1, 2 in increasing order.\nAnswer: -1, 1, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let l = 13 + -7. Suppose -l*r + 2*r - 240 = 0. Let p be 8\/10*r\/8. Give n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(2*w + 0 + 0) + (100*w + 5*w - 4*w)*(0 + 4 - 3) as g + x*w and give x.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:27 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, q: 2, l: 3}. What is prob of picking 4 m?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w + 2 = c, 3*w + 4*c = 22. Suppose -2*h + 4*g = 0, w*h + h + 3*g + 18 = 0. What is the nearest to 14\/11 in -1, h, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -420, -295, -210, -171, -184, -255?\n\"Answer: -b**3 - 14*b**2 + 174*b - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9930)\/(-26811)*1\/(-5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:02 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9177599, -18355195, -27532791?\nAnswer: -36710387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 c, and 1 e when four letters picked without replacement from ywwycyzcczzezzeczew?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 4.03.\nAnswer: 68.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 324*d + 12355. Give t(-31).\nAnswer: 2311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 4 = 0. Let d = -150 + 150.467. Let m = d - -0.033. What is the biggest value in m, -5, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.96*42435.\nAnswer: -40737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqqffqfqqqqfqffrq. Give prob of sequence rqf.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 0*(-3)\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 + -1 - (-5 - -13 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**3 - 4*g**2 + 3*g - 4. Let h(i) = 2*i**3 - 12*i**2 + 7*i + 11. Let a be h(5). Let t(v) = -v**3 + v**2 - v + 1. Give a*t(f) - o(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4872435892 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41247 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9899395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = 1. Let z = -157 - -161. What is the closest to r in z, 0.5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.09 (c) 0.4 (d) -3 (e) -723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/539 - 1140\/16709. Is 1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-32*4\/(-16))*(-24)\/3. What is the highest common divisor of 6675 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 941629 - 3461861. Let y = g + 2520272.99876. Let p = 41 - y. Round p to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 - 17 = 0. What is the third derivative of -2*f**2 + 3*f**4 - 3*f**5 + 0*f**4 - s*f**4 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*r - 72*r + 4*u - 28, 5*u - 14 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 + 20. Let c be g(4). Let q(z) be the first derivative of 3\/2*z**2 - 7\/3*z**3 - c + 0*z. Find the second derivative of q(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 + 6. Give t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -665, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136)*2*6 + sqrt(136) + sqrt(136) + sqrt(136)))\/((sqrt(800) - sqrt(800)*-2)*-5).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65\/2 + -33. Suppose -3*o + 2*h - 5*h = 3, -3*h = 4*o + 5. What is the closest to a in o, -1\/4, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103851762.\nAnswer: 2, 13, 42455837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296*p - 314 - 29*p + 383*p + 57*p - 30 with respect to p.\nAnswer: 707","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ea36 (base 15) to base 12\nAnswer: -24813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*y + 13 = -7, -16*y + 17*y - 4 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093702*l**2 + 4186620*l**2 - 2093665*l**2.\nAnswer: -747*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((-20 - 37*s + 20 + (-s + 0*s + 0*s)*(3 + 2 - 3))*(0 + 1 - 6) - s + 4*s + 2*s)*(3*s**4 - 3*s**4 - s**4).\nAnswer: -200*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 14) in base 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 10*t - 14*t - 14, 0 = -3*x + 8*t - 66 + 84 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270*q + 165.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131116 (base 7) in base 2?\nAnswer: -101111101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4 + 11*l + 9 - 9*l. Let n be g(-14). Let b be (3 - (-66)\/n) + 2. Sort b, 1\/2, 0.1.\nAnswer: 0.1, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.0660474 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1560*t**3 - 72*t**2 + t + 4641021?\nAnswer: 4680*t**2 - 144*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1040 and 9692488.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100001 + 110000?\nAnswer: -1101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 93 (b) -1 (c) 5\/4 (d) 5 (e) -0.2572 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5 - 1648*n**4 - 36*n**3 + 29600*n**2 + 52706*n + 24720 = 0.\nAnswer: -3, -1, 5, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2396.5 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -101*o**2 + 24*o + 23. Give i(-1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 206*w + 3346. List the prime factors of y(33).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/105 + l**6\/30 + 7*l**5\/30 + l**4\/3 + 71*l**2. Factor p(y).\nAnswer: -2*y*(y - 4)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -45\/8 (b) 3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1819 and 6848?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.9. Let z = 795 - 798. Which is the closest to z? (a) -2 (b) u (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3493 - -0.3\nAnswer: -1.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -320.0187 + -1.1313. Let p = -321 - t. Which is smaller: p or 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -105. Let f be c\/((-175)\/(-15)) + (-195750009)\/(-15). What is f rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*i - 3*y - y, 3*i - 14 = 2*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2654 and 25\/8.\nAnswer: 10616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*a**3 + 35069*a**2 + 13188794*a wrt a.\nAnswer: 222*a + 70138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2778 - 1759. What are the prime factors of i?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/174 (b) 0.02 (c) -8 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 10*f**3 - 11*f**3 + 20*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*h - 4*h. Suppose h*w - 126 = w. Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((6 - 7) + (-24)\/(-28)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/8 - 5*g**2. Let d(w) = -971*w**2 + 1938*w**2 - 969*w**2. Give d(n(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2157\/10 - -23717\/110. What is the third smallest value in a, -2, -386?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 24. Let n be h(-12). Suppose o = g - n*o - 4, 2*g - 3*o - 9 = 0. Solve g*r + 5*k = 10, -2*r + 4*k - 8 = -0*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.1, 0.5, 104, -1\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 0*p)*(1 - 1 + 2*p) + 32*p**2 + 91*p**2 + 11*p**2 + p**2 + 0*p + 0*p.\nAnswer: 129*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5984\/(-1056))\/((-1292)\/19)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 6. Let n(a) = 2*a + 13. Let k(w) = 2*w + 4*w - 3*w**2 - 2 - 2*w**3 + w**3 - 5. Let g be k(-5). Give g*v(x) - 6*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10 = -4*l. Suppose -2*i = -9 - 19. Solve l*d + r - 12 = 2*r, 0 = -3*d + 4*r + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1054 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -65. Let z(j) = j**2 - 27*j + 71. Let s be z(r). Which is the closest to -0.2? (a) -1\/2 (b) -0.01 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21606006623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -947 and -114.4.\nAnswer: 108336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 234. Let q be (2 - (v\/12)\/5)*-6. Does 9 divide -3*1\/(q\/52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3 + 6. Suppose -11*t + 10*t = -u. Let s = 50 - 23. Put 0.5, t, s in decreasing order.\nAnswer: s, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5446 times -0.1?\nAnswer: 544.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19408 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -0.15. Let q(z) = -3*z - 25. Let p be q(-10). Which is the closest to 4? (a) s (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -5 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 603349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 - (3 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -3*c, -2*c - 3*j = j - 8. Let b = 16 + -7. Let i = -230 + 233. Solve -i*u - b = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-13))**(1\/29)*b**(16\/9)\/b*b**(-14) assuming b is positive.\nAnswer: b**(-3316\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + -102. What is the closest to 0.1 in 4, -1, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Let u = j + 6. What is the lowest common multiple of 4\/6 - (-12)\/36 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31634 - -4?\nAnswer: -31630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h. Let l(x) = -408 + 2*x + 408. Determine u(l(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1)*(-176764)\/75166 - 54\/(-117)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.97 - 0.03. Let z = -52.252 + 62.2476. Let x = v + z. Round x to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 7 - (0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*1*4)\/sqrt(8))**2*6.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.035 and 193.3338.\nAnswer: -6.766683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13625*j**2 + 4480*j**2 + 3124*j**2.\nAnswer: 21229*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 12. What is the second biggest value in 4, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 693 + 188 = 5*d, -1451 = -5*c - 4*d. Let l = -257 + c. Calculate the greatest common factor of l and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523837021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -9, 3, 5515?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556701.2 millilitres to litres.\nAnswer: 556.7012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Solve r = -4*o - 1 - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -418 + 3758\/9. Let t = 233 + -362. Let j = -138 - t. Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, -90, -0.3 in descending order.\nAnswer: 25, -0.3, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048*k - 130 = 1035*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-7)*(-21)\/18. Let u = -31.4 - -31. Let r = u - -0.3. What is the nearest to -1 in r, 1, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66749 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19551, -19575, -19617, -19683, -19779, -19911?\n\"Answer: -w**3 - 3*w**2 - 8*w - 19539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-508)\/(80\/(-15) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17667 divided by -30?\nAnswer: -5889\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*d**2 - 147*d**2 + 67 + 324*d**2 - 67.\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w**2 - 255*w - 1949. What is l(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i. Let z(d) = -79*d. Calculate -11*g(v) - 2*z(v).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f**2 - f - f + 23*f**2)*(-11*f + 36*f**2 + 11*f).\nAnswer: 108*f**4 - 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 176\/(-28) - (-4)\/(-14). Let w(m) = -m**2 + 10*m - 6. Let g be w(h). Suppose g*k = 16*k + 104000. Round k to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 14. Let p be i(4). Let x be 0\/1*9\/18. Suppose 2*q - 8 = 4*q. Put q, p, x in increasing order.\nAnswer: q, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/33 in 4\/21, 0.2, 2\/3, -1057\/16?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(512) - (-2*sqrt(512)*1 + sqrt(512) + sqrt(512) - sqrt(512))) + sqrt(512)))\/(sqrt(28)\/(2*sqrt(7)) + sqrt(4) + sqrt(36)\/(sqrt(27)\/sqrt(3))).\nAnswer: -96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (76\/(-24) - 60\/72)\/(-10). What is the closest to 0.2 in -2\/17, -2389, 3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*t + 22*t - 128*t to the form q + f*t and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61363\/186960 - 189\/779. Calculate the common denominator of 67\/528 and w.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8352*c - 5425. What are the prime factors of m(-7)?\nAnswer: 7, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 (base 13) in base 15?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b - 14. Suppose 462 = -10*g + b*g. What is the tens digit of 2\/(-5) - g\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74057 - 30?\nAnswer: -74087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m + 12 - 23 + 3 + 2 in the form c*m + k and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 16801193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -4 (b) -31 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -352. Let f = t - -155. Let s = 9 + -17\/2. What is the third smallest value in s, -13, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-35))\/((-3)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10524687 to the power of 1\/2, to the nearest integer?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10786*g + 10798*g + 10801*g + 10796*g - 43197*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - w - 1. Let a be v(-7). Suppose 4*m - 552 = 348. Suppose m - 27 = a*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 1109 - 1127 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - 2*o**2 + 1 - 3*o + 5*o + 3*o**2. Let k be i(6). What is the greatest common factor of 76 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.15 - 1.149764. Round r to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 81*h + 661. Let j be b(47). Suppose 83 + 21 = 4*x. Find the third derivative of -x*v**4 - 50 + j + 37*v**2 wrt v.\nAnswer: -624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:08 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 9 + z - z. Let w(l) = -3*l + 27. Let r(u) = -11*b(u) - 4*w(u). Let i be r(11). Solve 3*h + 2 = -d, 8 = 2*h - i*d - 2*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z - 266 + 245 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5431?\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97910.\nAnswer: 2, 5, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {j: 6, f: 3, d: 1, h: 1, t: 3, z: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*7.56\nAnswer: 0.9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u - 2*n - 758, -2*n = -4*u + 608. Let x be (5\/u)\/(2\/8). Let k = -298\/5 + 60. What is the closest to 2 in x, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 6. Let b(c) = -4*c - 7. Suppose 28 = 4*l + 5*s, 3*l + 4*s - 23 = -2. Let p(h) = l*d(h) - 6*b(h). Let j(z) = 0*z - 3*z + 6*z. Give j(p(r)).\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 3, 258905, -5 in increasing order.\nAnswer: -5, -5\/3, 3, 258905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.087 + 4.86. Round a to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 5005312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5406 - -2?\nAnswer: -5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-12))\/(2\/168). Suppose -1 - 4 = -f. Suppose 2*p = f*p + 5*a - x, -2*a + 6 = 0. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63540 divided by 3?\nAnswer: 21180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(-9)\/(-30)*205 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 719932 divided by -422.\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -22. Suppose -3*z**2 - 6*z**5 + 5*z**5 - z - a + 2*z**3 - z**4 + 5*z**2 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 7*r + 170. Let k = -16 + r. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5160, 10331, 15504, 20679?\nAnswer: 25856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - 143c781?\nAnswer: -143c759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-28)*49\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23624820 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23731838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 8469?\nAnswer: -1\/8469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392617?\nAnswer: 631, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 3, 0.5, -1\/5, -0.06, -82, 13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 - 1091*b**2 + 501*b**2 - 546*b**2 - 1033*b**2.\nAnswer: -2139*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 431469176173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/b**(-16))\/b)*b\/(b\/((b\/b**2*b)\/b)*b))\/(b*b**(2\/25)*b**16*b) assuming b is positive.\nAnswer: b**(-852\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11002.\nAnswer: 2, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 10*c**2 + 1. Let v be f(-10). Suppose 5*g - 11 = -v. Factor -9*t + 32 + t + g*t**2 - 8*t.\nAnswer: 2*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21856 and 730127?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101110111101111 (base 2) to base 14.\nAnswer: -c7d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 4*c + 60. Let z = 17 + c. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a46a + 79?\nAnswer: 23a538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n = 82*n - 127*n + 166 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/(-675)*(-4)\/((-32)\/(-6)). Which is the smallest value? (a) -1 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -51. Solve 0 = -l*k, -2*m + 0*k + 2 = 4*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(((-30)\/4)\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377273 + 299177445\/793. Let y = 6\/61 - d. What is the nearest to -2\/3 in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76371, 0, 403, -5, 5.\nAnswer: -76371, -5, 0, 5, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/2 + 12*p**4 + 128*p**3 = 0. What is p?\nAnswer: -8, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4335599 or 2\/3?\nAnswer: 4335599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1255 (base 12) to base 16\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (87\/29)\/(15\/170)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(-4)\/(-3). Suppose j*c = 440 + 246. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 513*q**3 - 684*q. Let v(n) = -n**3 + n. Give -s(y) - 684*v(y).\nAnswer: 171*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12560 + -12539. Calculate the highest common factor of z and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sassiassssssisiasa.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/36812 and 145\/55218.\nAnswer: 110436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 2*r = -12818. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 + 390*l\/7 + 387\/7.\nAnswer: 3*(l + 1)*(l + 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6)*(-6)\/5. Let u(h) = 43*h - 15. Let t(m) = -15*m + 5. Let i(x) = 11*t(x) + 4*u(x). Give i(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 2244*l - 437241. Determine i(-251).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.8849444 and 10?\nAnswer: 22.8849444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8ca - 0?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310123 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 391, 155, -379, -1217, -2365?\nAnswer: -3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168969475*f*n - 78811180*f - 2*n wrt n.\nAnswer: -168969475*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/16349 + 3400502\/147141. Factor -5408\/9 + p*r - 2\/9*r**2.\nAnswer: -2*(r - 52)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -126019.\nAnswer: -4\/126019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.05 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 5*sqrt(99)\/sqrt(3))\/sqrt(3).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115200213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o - 98. Let g be l(17). Suppose 0 = g*i + 32 - 32. Do i and -3\/74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-2 - 1) + 13 + (19 - 10) + -10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -194 in -1, -0.3, -2\/3, 1\/5, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - -63. Let t be (8\/(-78))\/(c\/150). Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 - v + 5. Let j be u(0). Let y be 10\/3 + (-3)\/9. Find the third derivative of -g**y - g + g + 0*g + j*g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-414)\/(-26) - (-7 - (-450)\/65). Solve 0 = z*o + 40 + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 138*d - 64 - 73. What is the smallest common multiple of 2203 and d?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17400000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - aa3189b?\nAnswer: -aa318a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.9549ml in litres?\nAnswer: 0.0789549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26.118 times 1334\nAnswer: -34841.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 1.8. Let n = 1 + 0. Let d = r - n. Which is the closest to d? (a) 2\/7 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6805351 and 6805351.\nAnswer: 6805351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1021 + -1018. Let b = 5 - 9. Let d = b + 7. Solve 4 = -2*p + d*f, 4*f + 5 = -4*p - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.692493 + -204.6924. Let o = -164 - h. What is o rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((148\/(-24))\/37)\/((-15)\/(-450))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050 and 9545725?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 1. Let c(n) = -2*n**2 + 4. What is 4*c(g) + 14*i(g)?\nAnswer: 6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -51.2?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 7. Suppose 5*s = 10 + 15. List the prime factors of j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 - 17 = -3*v, -v + 21 = 4*p. Suppose v*r - 8*r = -249. Suppose r + 48 = y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128302720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 96 = -2*h + 16*n - 30*n, 5*n + 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Let r(v) = -5 + 2*v + 0 + l*v - 3*v. Determine r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.5 + 12.2390010569\nAnswer: 3.7390010569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3273 or 3486?\nAnswer: 3486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*9\/6*(-8)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 - 5*x - 14. Let r be s(7). Let z(b) = b**2 - 3*b + 163. Let m be z(r). Let c = m + 31. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 24. Give t(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 5 + ((sqrt(175) - (sqrt(175) - -6*(1 + sqrt(175)) - sqrt(175))) + sqrt(175) - sqrt(175)) + sqrt(175) + (sqrt(175) + sqrt(175)*2)*-5)**2.\nAnswer: -1140*sqrt(7) + 63211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 2. Let h be v(-3). Let l be 15543\/1188 - 1\/12. Suppose -h*y + 21 = -l*y. Solve 3*t - 7 = 4*n, -y*t + n = -2*t - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 2:11 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -2.09. Let o = 1.7 - z. Let i = -221\/1770 - 1\/118. What is the biggest value in i, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 471 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28769*s**2 + 57515*s**2 - 28803*s**2.\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 21*j**2 + 36*j - 18. Calculate z(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13647474\/(-12)*8\/(-6)*8\/(-6). Let s(t) = -t - 3091848. Let z be s(0). Let h = n - z. What is h rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20 and -170?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -529*r**2 + 385*r - 5. Give h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c + 46. Let x be u(9). Suppose 86 = -w + x. Calculate the remainder when w is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*t - 4*o, 2*o = 2*t - 3*o + 10. Suppose -20*f = -8*f - 24. Factor -2\/9*g - 2\/9*g**3 + t - 4\/9*g**f.\nAnswer: -2*g*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from rreererrqeeqreqeq.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = l + 5, -n = -3*n - 5*l - 25. Let t be 6\/(-18) - 2\/(-13). Let b = t - 2\/13. Sort b, 4, n in ascending order.\nAnswer: b, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**3. Let r(l) be the second derivative of -6*l**5 - 66*l. Give 25*j(k) + 2*r(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 - (-8)\/(-28). Suppose 2*o = -a*o + 60. Calculate the remainder when 87 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5 (c) 3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-6*w**2 + 2*w**2 - 3*w**2 + (-2*w + 2*w - w)*(w - w - 2*w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzzzqwqrw. What is prob of picking 3 w and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1997346 to three decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -283 - -8?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v - 3. Let i be o(5). Solve i*c - 6 = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-4)\/(-6)*-1. Let n = 25\/2 - 12. Let k be (4\/(-10))\/(6\/(-10)). Which is the closest to k? (a) n (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 8. Let x(m) = -5*m - 39. Calculate 11*n(b) + 2*x(b).\nAnswer: b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 299*t + 21491. Give v(-120).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzpzpzp. What is prob of sequence pz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*f - 47 - 53, -f = -2*o + 39. What is the highest common divisor of 391 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.4922 centimeters in meters?\nAnswer: 3.114922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6) - 1*(-2)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12818, -25640, -38476, -51332, -64214, -77128?\nAnswer: -90080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -96. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457975231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -34*x**2 - 2*x - 1. Let v be p(-1). Let i = v - -55. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 13\/2*h**2 + 0*h**3 - 2\/5*h**5 + 0 + 0*h**4 + 4*h. What is the first derivative of j(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/18 + (-2)\/(-9). What is the second derivative of -y + 4*y**4 + s*y - 2*y**4 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - 1010?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 762 + 366. Suppose 2*p + o = 3*b - 2*p, b + p - 376 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = h + 4*w, -91*h + 7 = -92*h + 2*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/(sqrt(9) + 2*sqrt(9)) + 1*sqrt(3)*-1)*-5)**2.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29104.11 - 3?\nAnswer: 29101.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319 by -1535997.\nAnswer: -319\/1535997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 133418 and 400252\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.31 in -0.2, -3, 2.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or -48966\/299?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.348 plus -45?\nAnswer: -44.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -82987\/3 (c) -4 (d) 1\/6 (e) -1\/3 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5882018 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3749, -61, -4 in increasing order.\nAnswer: -61, -4, 3749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12)**34 assuming t is positive.\nAnswer: t**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52352 and 8975096.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Let z(l) = l**3 - l**2 - 4*l - 1. Let j be z(3). What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/409 - -37\/76074. Let t = z - 281\/372. Sort -2, 4, t in decreasing order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - (0 + 4 + (5 - 15) + 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57166, 114473, 171780, 229087?\n\"Answer: 57307*r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69028707619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 120, 282, 520, 840, 1248, 1750?\n\"Answer: y**3 + 29*y**2 - 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -415*c**3 - 1230*c - 590. Find the first derivative of k(l) wrt l.\nAnswer: -2490*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 156. Suppose -r - 2*s = s - i, -8 = -4*s. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = -4*c + 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2349564?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 3243*b + 1 + 3245*b - 5*b**4 + 2*b**2 + 2*b**3 to the form a*b**4 + q*b**2 + p + y*b**3 + h*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 16. Let b be w(9). Suppose -2*c - 2*m = -6*c + 28, b*c - 2*m = 18. Suppose 4*u = 4*n - 4, c*u + 0*u + 5 = 4*n. Solve -p + 0*p = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(272) + -1 + (sqrt(187)\/(sqrt(176)*-2))**2.\nAnswer: 145\/64 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**4\/12 - 3*b**2\/2 - 11. Let v(q) be the second derivative of t(q). Let r(f) = -8*f. Calculate r(v(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 14*k + 17 = -10*k, -4*k + 12 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2)*(-504)\/(-90). Calculate the greatest common divisor of l and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -737*n + 532. What is the units digit of j(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/9))\/((-84)\/(-616))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r - 35*r - 30*r + 8*r to w + i*r and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -123.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(462\/(-24))\/(-77)*1*-22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b**2 + b**2 + b**2. Let x(o) = -74 - 4*o + 9*o - 91 + 165. Determine s(x(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1477875.\nAnswer: 1\/492625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -25.17. Let a = 0.0157 + 0.1143. Let p = k - a. What is the nearest to -2\/9 in p, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2597 minus -412069?\nAnswer: 412068.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70128701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -0.0717?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 16*h**2 + 24*h + 75. What is n(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5278 and 0.061.\nAnswer: 0.0321958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) + 64\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28554 + 28566. What is the greatest common divisor of 3368 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5219, 5208, 5197, 5186, 5175?\n\"Answer: -11*g + 5230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 1. Let b(r) = -6*r - 1. What is -5*b(q) - 8*n(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -46. Suppose 3*f - p*f = -30. Put 3\/2, -0.4, f in increasing order.\nAnswer: -0.4, 3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 43*r + 166. Determine n(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428*u**3 - 254*u**2.\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**1)**(-48)\/(u\/(u\/(u\/(u\/(u*u\/(u\/(u**(-5\/2)\/u))))))*u*u*u**3\/u*u)*u**(2\/9)*u**2*u*(u**0*u)**(9\/4) assuming u is positive.\nAnswer: u**(-1621\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23219 is divided by 282?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215453*o**4 + 530368*o**2 wrt o?\nAnswer: 5170872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021 - -22?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let r(y) = -910*y**2. Give r(k(b)).\nAnswer: -910*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -832 + 7629. What are the prime factors of n?\nAnswer: 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 15 = 4*t. Let s(h) be the third derivative of -h**5\/12 - h**4\/6 - h**3\/3 + 3*h**2. Let c(u) = 9*u**2 + 7*u + 3. What is t*s(x) + 3*c(x)?\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -2)*(-7)\/(-14). Suppose -m = 2, -m + 18 = p*j - 6. Suppose j = -5*n - 22. Let o(f) = f**3 + 7*f**2 + f - 2. Calculate o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 s when four letters picked without replacement from {s: 1, q: 5, e: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10631049 - -22159349. What is x rounded to the nearest 100000?\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/33)\/(1\/3). Let t = n - -157. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75 - 231 + 702 - 3*f - 24*f**3 - 26*f**3 + 809 wrt f?\nAnswer: -150*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 42*p**3 + 9*p**2\/2 - p + 201. What is the second derivative of n(r) wrt r?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 21 = -7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002960842 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*a - 281*a + 146*a + 48*a + 5*a**2.\nAnswer: 5*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -103. Let h = o + -118. Does 11 divide (-4)\/3*h\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44908 and 23.\nAnswer: -44885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose 5*t - 30 - 10 = s. Solve -3*w + t*w + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1514309*b**3 + b**2 - 2*b - 5346.\nAnswer: 9085854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from zszrrartbrzarzrzr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 29499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 129234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let p = 7 - b. What is the nearest to 0.1 in 3, 3\/7, p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 10*o**2 + 14*o + 430. Determine i(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64208.19 millilitres in litres?\nAnswer: 64.20819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621589?\nAnswer: 3, 873863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8*t + 18 = 0. Solve 4*j = -18 - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7669580 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:31 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 260 and -0.22.\nAnswer: 259.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(350)*1 + (sqrt(350) - (sqrt(350) - (sqrt(350) - 4*(1*sqrt(350) - sqrt(350))))))\/(sqrt(1800)\/sqrt(9) + sqrt(2)*5*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - j + 12 + 3*j)*(j**4 - j**4 - 2*j**4).\nAnswer: -4*j**5 + 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/2 or 4191?\nAnswer: 4191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 7*d**4\/12 - 336*d. Let o(g) = 3*g + 1. Give q(o(l)).\nAnswer: 63*l**2 + 42*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 9:02 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = -15*r + 525 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5)\/(5\/7) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*n = 1895 - 1857, -3*n - 51 = 4*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 25, 27, 29, 31, 33?\n\"Answer: 2*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 9*w - 4*w + 5 = 0, 0 = w + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, x: 3}. What is prob of sequence hxx?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-12029 + -2) + (-8 - 377\/(-29)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21.2. Let p = -0.22 - -0.52. Put p, o, -1 in decreasing order.\nAnswer: p, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1201*k - 91750. Determine s(76).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*121.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -46?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 35 = 0, 4*z + i - 138065 - 95268 = 0. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -553952, -1107941, -1661930, -2215919, -2769908, -3323897?\n\"Answer: -553989*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2. Let f(c) = 10*c**2 - 215052*c + 24. Determine f(u(z)).\nAnswer: 90*z**4 + 645156*z**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r, 4 = -3*l + 5*l - 3*r. Let c be (0 + 0 + -1)\/(-1). Let g be (-5*(-5)\/25)\/(2\/18). Solve l*y - c = g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*k = -100, -55*k + 52*k = -3*n + 60. Calculate the lowest common multiple of n and 458.\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/77*26439\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 125*x + 2 + 124*x)*(-7 + 7 - 7*x**2 + (0 - 2 + 4)*(-2*x**2 + 2*x**2 + x**2)).\nAnswer: 5*x**3 + 50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -119*d. Let f(i) = -5*i**2 + 3*i. Let n(q) = -2*q**2 + q. Let l(s) = -f(s) + 3*n(s). What is l(a(y))?\nAnswer: -14161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109.5124433 - 0.5122653. Let t = c - 109. Round t to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 + 207.6. Let m = h + 2.4. Let c = m - 26.00066. What is c rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 divided by 146?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -921, -1385, -1849, -2313, -2777?\nAnswer: -3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*t - 53, t - 28 = -3*a - 0*t. Calculate the highest common factor of 517 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/34 and -35\/7318?\nAnswer: 124406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -17, 0, 0.14, 1\/10, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 + 4*b + 61*b**2 - 2 + 22*b**2 + 5*b**2 + 4*b**2 to q + l*b + s*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 3) in base 9?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*b**1\/b*b)*b)**21\/(b*b**(-2\/3))**(1\/51))**(-4\/21))**(-36) assuming b is positive.\nAnswer: b**(51392\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - 7*o**2 + 2*o**2)*(-12 + 16 - 6) as p*o + r*o**2 + d and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2245 + 2226 = -i. Let q(z) = -32 + 74 - i - 2*z**2 - 23. Let y(r) = -5*r + 6. Let x(j) = -j + 1. Let w(v) = -6*x(v) + y(v). Determine w(q(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -0*u - 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1169, -1175, -1185, -1199, -1217, -1239, -1265?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 347\/4. What is the biggest value in -1, -0.5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212033322 (base 4) in base 6?\nAnswer: 3205150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -119.05.\nAnswer: -107.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.26 (b) 0 (c) -0.3975 (d) -1\/7 (e) 1\/3 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a - 440*a + 62*a + 78*a - 44805 = 0 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*s**2 + 2*s + 5*s**2 - 18*s**2 + 2*s**3 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 + 0*f**2)*(66*f + 387*f - 246*f).\nAnswer: -621*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = x + 3*x + 3, 4*x + 15 = -p. Let r be p - ((-12)\/(-10) + -3). What is the third biggest value in 0.4, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (9 - ((1 - -12) + 0) - -12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(sqrt(77) + sqrt(77)*-2))\/(5*(sqrt(1584) + sqrt(1584)*-2)).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*3)\/(sqrt(120)\/(sqrt(30)\/sqrt(3))) - (sqrt(432) + sqrt(432) + 0 + 2 - (0 + sqrt(432) + 3 - sqrt(432)))**2.\nAnswer: -1729 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 13*o**2 + 12*o - 46. Let n = -226 - -215. What is the tens digit of i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26460152.02 - 26777509. Let m = -317364.98000072 - n. Let f = 8 + m. What is f rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 953 (c) -0.85 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:17 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = -o + 13, o = -3. Suppose -6 = -q - b. Solve 0 = 3*s - 2*l + q, -7 = -s + 4*l - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122300000 rounded to the nearest one million?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 - 7*h - 2. Let k be n(-6). Suppose 2 = -2*f + 4. Let v(i) = i**2 + 3*i - 3. Let x be v(-3). Sort x, k, f in decreasing order.\nAnswer: k, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30. Let z be 75 - (1 + 0 - k). Suppose 2*s + z = 2*w, 2*w + 3*s = 2*s + 71. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 14890 - 28350 + 3944. What is the remainder when g is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8949*q = -15726*q + 759024 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 - 290*l**2 + 6806*l + 289338 = 0.\nAnswer: -21, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 296?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10549 - 18778 = 620*q + 1053 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 48*o + 30 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 77\/11011*29\/(464\/(-32))\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -3, 1\/3, -2\/3, 3\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10102102222230 + -2?\nAnswer: -10102102222232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*d - 857 - 401. Calculate the greatest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001084942 to six dps.\nAnswer: -0.001085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/126)\/(15\/135).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 215 = -7*h. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 3*x**3 - x**3 + (x + 1 - 1)*(-x**2 + 2*x - 2*x) + 2*x**2 - 2*x**2 - 2*x**3)*(-x + 4*x - 4*x).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483\/6*(12 + -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r - 5*g, -4*r - g + 5*g + 4 = 0. Let w = -14159.2 - -14159. Which is the closest to 0? (a) -5\/6 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 3, 10\/81, 0.4, 0.15, -4 in decreasing order.\nAnswer: 80, 3, 0.4, 0.15, 10\/81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {q: 9, d: 2, y: 3, i: 2}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -877459 - -21577459. Round k to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-38 - (-19 + -153))) + (-6 - 2).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/65 + (-166796)\/578760 and -58\/2385.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*y + 71, 12*y - 13*y = -2*a - 16. Suppose 0 = -23*b + y*b + 567. What is the greatest common factor of 252 and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44276.9794904 - -44277. Round b to 4 decimal places.\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 (base 14) to base 13\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -i + 2*h, 5*i + 2*h - 160 = 480. Suppose -q = -i + 3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10202130132 (base 4) to base 5\nAnswer: -301032122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:16 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/175214 and -151\/12.\nAnswer: 1051284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 4*i**2 + 6*i**2 + (-34 + 7*i + 34)*(-2 + 2 - i) + 1 - 1 + 2*i**2 - 2*i**2 + 2*i**2 - 4*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 142. Suppose -1 - 3 = -4*g, 5*b + 353 = -2*g. Calculate the common denominator of 65\/16 and 3*w\/(-198)*b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13275 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2970 divide 115925040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -20. Let y = z + -14. What is the smallest value in y, 3, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 370*a**3 + 5*a**2 - 5*a + 5. Let t(r) = -185*r**3 - 3*r**2 + 3*r - 3. Calculate -5*t(o) - 3*v(o).\nAnswer: -185*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 10 + 344. Let k = -60 + 61. Calculate the common denominator of ((k + -5)\/(-108))\/((-2)\/s) and 23\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 21*c + 77. Let s be t(16). Let w(f) = -12*f**3 - 34*f**2 - 5*f - 7. Let m be w(s). Is m at most 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013247.\nAnswer: 3, 112583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = o, 2*o + 2*t = -o - 34. Let p = o - -21. Solve 4*d - 1 = -9, c + 5*d + p = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1443 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1121 and 839039.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 22 = 3, 0 = 4*r + 5*u - 999. What is the greatest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6 + -1 + 1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 2 + (-1 - 1). Suppose 0 = i*q - 26 - 58. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h**3 - 4*h**2 + 11*h - 102. What are the prime factors of z(6)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d\/d**(-2\/5)))))\/((d*d**5)\/d)*d**(-21)\/(d**(2\/13)\/d) assuming d is positive.\nAnswer: d**(-1726\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/9 - 99661*t\/3 + 74746\/9.\nAnswer: -(t + 74746)*(4*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-40)\/48*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let d(k) = -t*k - 2*k + 3*k. Let y(a) = 2*a**2. What is d(y(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15456, -37005, -58554, -80103, -101652, -123201?\nAnswer: -144750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009099063 to six dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 10:58 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 6. Let w be m(-1). Let s be ((-6)\/w)\/(8\/20). Does 10 divide (39\/15 - s)*(-4600)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2165097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16589565 divided by -19\nAnswer: -873135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 10) in base 14?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/126 + (-56)\/(-360). Factor 2\/5*o + 9\/5*o**2 + f*o**4 + 2*o**3 + 0.\nAnswer: o*(o + 1)*(o + 2)*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 - 25*b - 2. Let r(q) = q**2 - 10*q. Let a(p) = 7*r(p) - 3*s(p). What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(0 - 44). Suppose 0*p + p - q = 0. What is the least common multiple of 4\/(-6) + 100\/6 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r - r)*(4*r - 4*r - 2*r)*(2*r - 2 - 178 - 64).\nAnswer: -4*r**3 + 488*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 60*o**2 - 91*o + 129. Is u(38) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 2. Factor 4 - s*a**2 + 9*a**3 - 1 - 3*a**4 - 9*a + 3 + 3*a**2.\nAnswer: -3*(a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30. Suppose 3*p - 5*c - 65 = 0, 5*p + o*p - 117 = 4*c. Solve r = n - 14 + 5, -5*n + p = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 1 + f)*(-4 + 3 + 2).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2936.9?\nAnswer: 587.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*114\/(-24)*-2*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*w + 4930 = 7*s, -4954 = -4*s + w. Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -12. Let g be 618\/39 - 2\/(-13). Let t = o + g. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6280*q**3*t**3 + 10720*q**2*t**3 + 5*q**2 wrt q?\nAnswer: -37680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/((-3 - -13)\/5). Let a(x) = -x**3 - x**2 + 190. Let i be a(0). What is the greatest common divisor of i and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/((-273)\/(-14)) - 8\/(-6). Suppose 3*s + 11 = -2*h - t*s, 3*h = -5*s - 14. Which is the second biggest value? (a) h (b) 1 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10181 - 2681. Let a = 7515.035 - w. Let i = a + -15. What is i rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 304204?\nAnswer: -304202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*n - 48, v + 0*v = 5*n + 14 + 47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -64. Let n = b + -26. What is the biggest value in -0.3, 2, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*q + 4*r - 48, q + 4*r = 31. Let c = q + -13. Let s(o) = -19*o - 3. Is s(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7153 + 7039. What is the nearest to 2\/5 in -2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 29. Give m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57892 and 72702468?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 1. Let i(q) = q**2 + 20*q + 5. Determine -2*i(v) - 7*o(v).\nAnswer: -2*v**2 + 9*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3110*f + 77601 = -1701 - 1558 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18 = 4*m. Suppose -d = -j - 9233, 0*d - m*d = -5*j - 18478. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -16. Let l = -29\/30 + 4\/5. Which is the fourth smallest value? (a) l (b) -5 (c) 2\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 6. Determine r(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -813 + 816. Solve i*a - 6 = 9*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 (base 11) to base 13\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) + sqrt(343)) - sqrt(65)\/(-1*sqrt(5))) + -3.\nAnswer: -3 + 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.068 + 0.658. Let l = a - 3.31. Round l to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 883 - -511. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = 3*q + 85. Let z be q\/(-90)*3\/((-54)\/(-10)). Factor 0 - z*c + 1\/3*c**3 - 1\/3*c**2.\nAnswer: c*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4827723.\nAnswer: 3, 23, 31, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-346)\/(-1)*(-2)\/24. Let s = 29 + v. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.221604 milligrams in grams?\nAnswer: 0.009221604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*t, 2*t - 4*t + 8 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1701 - 10670.6.\nAnswer: -10670.4299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -12*a + 15*a - 14, -4*i = -2*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 3*g**4\/8 + g**3\/3 + 11*g**2 - 33. Let j(z) = -4*z - 1. Give -7*j(t) - 3*p(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 1, 76 = 2*k - 4*u. Let w be k\/(-780)*31\/(-12). Let m = w + -1\/18. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5 = 25. Suppose f - 77 = -5*p, -5*p + 0*f - 5*f + 65 = 0. Calculate the least common multiple of 7 and p\/n*55\/(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 736, 684, 596, 472, 312?\n\"Answer: -18*j**2 + 2*j + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3620803, 3620805, 3620807, 3620809, 3620811, 3620813?\n\"Answer: 2*f + 3620801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 0.03 (b) -2 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 - 6*k - 8. Let a be o(-4). Suppose 2*d - j = 6*d + a, 0 = -4*j. Let m(x) = x**3 + 6*x**2 + 4*x - 3. What is m(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2682 + 2681.9. Is -9.41 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1258 by 1.\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2560*t - 5128*t + 2566*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 16*s - 11. Solve 0 = -s*b - m + 5*m - 6, 0 = -5*b - 3*m + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3660 + 3660 - 10*k)*(-5 + 2 + 5) + 2*k + k - 7*k - 1 + k - 2 + 1 + 2*k - k - 2*k + (-3 + k + 3)*(1 - 1 + 2).\nAnswer: -22*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17584, -30600, -43616, -56632, -69648, -82664?\n\"Answer: -13016*g - 4568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960 = 152*w + 4*t, 28*w = 24*w + 2*t + 80 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 240 * 2\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 = 11*i - 8*i + c, -4*i - 2*c = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 982 - 686. Let f = s + -88. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1196068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -125, -5, 3, 1, 769 in ascending order.\nAnswer: -125, -5, -1, 1, 3, 4, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 2*g - 13*g - 21*g - 57*g - 1.\nAnswer: -84*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 + 2*w + 1. Let n be s(-1). Does 10 divide -1 + n + 0 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 divided by 111?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let g(t) = 8*t - 75. Let p be g(10). Let z(q) = q**3 + 5*q**2 + 3*q + 1. Let j be z(-5). Let h(m) = 6*m - 6. What is j*a(r) + p*h(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003876302 rounded to 7 decimal places?\nAnswer: 0.0003876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/21048 and -6?\nAnswer: 21048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a5 + -3?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8354 is divided by 8347.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.754075 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 3*x)*(-180*x**2 - 146*x**2 - 117*x**2).\nAnswer: -886*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/q*q**(-18)\/q assuming q is positive.\nAnswer: q**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*1847.9.\nAnswer: -461.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.7, -11, -2\/61, -11\/3, -2?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)**33)**16 assuming g is positive.\nAnswer: g**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -68.57 (b) 29 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -38. Let z = u - -33.0145. Round z to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 - 3*l - 3. Let t be q(4). Let u = 123\/4 + t. Which is the third smallest value? (a) u (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3\/7, 0.3, -1, 48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y + 32*y + 3915 = 112*y + 1209 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 times -8.8?\nAnswer: 7744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -6, -5, -2, 3, 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*z - z - 2 + z + z + 0*z - z + z + 2*z - 2 + 2 + z + (1 - 2 + 3)*(2*z - z - 3*z) - 11*z - z - 20*z to the form m + h*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1392*w**3 - 1437*w**3 + 889*w**3 + (1 - 3 + 1)*(-4*w**3 + 4*w**3 - w**3) + 0*w**3 + 2*w**3 + w**3 to the form x + f*w**3 + z*w**2 + q*w and give f.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -77. Solve 0 = -3*c, 3*c = 5*u - 0*c + l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-44)*(-14)\/99*-55\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1664748 by 393.\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 26*v - 56 = 0. Calculate v.\nAnswer: -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 186*u + 29. What is the remainder when j(2) is divided by 104?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*-12*116\/32. Solve -9 = 32*o - w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 22*r**2 + 5656*r - 84. What is t(87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427.8 - 427.4. Let k = -5 - -5.5. Which is the nearest to -0.1? (a) -2 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c + 19*c - 26*c)*(2*c - 2*c + 2*c) - 2*c**2 + 2 - 2 + 5 + 25*c**2 - 5 to o*c**2 + m + d*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -0.2, 179, -1.281?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*z - 44, -3*t + z - 2*z = -32. Let q be (2 + 9\/(-5))*t\/4. Let l = 3 + -2. What is the second biggest value in -0.04, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - q - 17 = 0, 5*d - 5*q + 146526 = 146491 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -138, -462, -1092, -2130, -3678, -5838?\nAnswer: -8712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1648 + 3039. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 88*t\/3 + 320\/3.\nAnswer: 2*(t + 4)*(t + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123998*-0.1385.\nAnswer: -17173.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1, -2\/31, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (78 - (5 - 7)) + (-6)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 4*w. Suppose -3*n + 5*f + 65 = 0, -f + 6 + 73 = 4*n. Suppose c - n = -3*c. Calculate the remainder when r(-2) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.64 + 25.34. Let j = 34 - m. Let c = 2.02 - j. Sort c, 0.2, 0.06 in descending order.\nAnswer: c, 0.2, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 - 4*x - 2. Let h(c) = -7*c**3 + c**2 - 5*c - 3. Suppose 4 = 32*r - 30*r. Determine r*h(w) - 3*u(w).\nAnswer: 4*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93880, -188068, -282526, -377254, -472252, -567520?\nAnswer: -663058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256658 is divided by 167?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10403375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-9))**(-5\/2)\/(r**(-7)\/r)**(1\/8) assuming r is positive.\nAnswer: r**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -189. Suppose 3*h - 4*r - 165 = 0, 2*h + 3*r = -r + 110. Let v = h - 42. What is the greatest common divisor of d and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -441\/8 (c) -32655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let m be 2\/(-6)*(69 - d). Let p = m + 46. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -l - y, -4*l + 4*y + 28 = 0. What is the second derivative of 7*r**5 + l*r - 3*r**5 - r**5 + r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - h**2 - h - h + 3 + h. Give a(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -820 + 69. Let d = k - -20276\/27. Find the common denominator of d and 1\/3*(-122)\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 16. Let b(p) = -p + 8. What is -9*b(m) - 4*s(m)?\nAnswer: 5*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*z - 8*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*n + 5*v, 47 - 89 = -3*n - 5*v for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 357290?\nAnswer: -35728c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334430?\nAnswer: 2, 5, 53, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 - 17*w**3 + 110*w**2 + 6*w - 170257 wrt w.\nAnswer: 8*w**3 - 51*w**2 + 220*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjj when four letters picked without replacement from jffjjjjfjfffjfjffjff?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-35*(-8)\/(-20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a millennium in years?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncg. Give prob of picking 1 c and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(6) - sqrt(216))*3 + (1*sqrt(72))\/sqrt(12))\/(4*sqrt(32) - (sqrt(2) + -2*sqrt(2)*3)).\nAnswer: -2 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 926129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 + 31*f + 35. Let w be c(-6). What is the highest common divisor of 88 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*v**2 + 357776*v + 1152426 wrt v?\nAnswer: 6*v + 357776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**3 - 4*p**3 + 2*p**3)*(-4*p**2 + 0*p**2 + 3*p**2) - 2*p**3 - 3*p**5 + 2*p**3.\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464157\/40 + 55639\/5. Let s = u + 474. Find the common denominator of s and 49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -3\/5, -0.5, -370 in increasing order.\nAnswer: -370, -1, -3\/5, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1265*c + 66 - 14 + 384*c.\nAnswer: -881*c + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g + 4. Let i be q(3). Let r = 16 + -11. Calculate the highest common divisor of i and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42520 + -21909. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132368122 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4338 = 90*a - 99*a. Let z = -474 + a. Solve p - 10 + z = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200525 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:07 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -z - 4, 3*z - 4 + 2 = 5*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - 4*k, -2*k = -3*u - k - 1. Suppose 4*s + 0*s - 12 = u. Suppose 0*p + s*p - 129 = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvhaccu. Give prob of sequence uc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 117 = -5*w - 112, -16 = 5*w - 12*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3 + 2\/(-2). Let v = 0 + c. Let i(d) = 3*d - 2. What is i(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**6\/120 + 7*r**5\/60 - r**4\/8 + 4*r**3\/3 - 3*r**2\/2 + 8*r + 117. Let b(h) be the second derivative of u(h). Determine b(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*r**2 - 5*r + 5*r**2 + 5*r - 23*r wrt r?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrd when three letters picked without replacement from jyydyyredy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 times 0.5019068?\nAnswer: -0.17566738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/4 - 31*d**3\/3 - 18*d**2 + 40*d - 53. Let o be h(-30). Calculate the greatest common divisor of o and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1643134543 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 - 20*l + 19. Let k be b(9). What is the tens digit of 72\/48*(k + 866\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and ((-28)\/8)\/7*73.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 656 = -880. Let r = 89 - 104. Calculate the common denominator of 15\/16 and (-1076)\/u - (-5)\/r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879*a + 873*a - 6 = 0. Is a less than or equal to 9\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 0. Suppose -159 = -10*t + 311. Determine z, given that -5*z + 12 - 2*z**2 + 42*z - 15*z**4 - q*z**3 + t*z**2 + 11*z = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 32. Suppose -32*z = -c*z - 12. Suppose 0 = 9*w - z*w + 1020000. Round w to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -23. What is the nearest to 2 in 4, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 250 and 1003\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199396, -199347, -199298, -199249, -199200?\nAnswer: -199151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 53*t**2 - 280*t + 18. What is j(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 2, z: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, -1044 in descending order.\nAnswer: 5, 1, 0, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = j - 4056 + 550, j + 4*r = 3551. What is the remainder when j is divided by 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 754\/18 + (-3)\/(-27). Let y = -27 + r. Let x = 17 - y. Solve k = 3, -5*f - 19 = -5*k + x*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1892619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/3925 and 11\/628785.\nAnswer: 3143925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 6062?\nAnswer: -6061.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + h)*(2*h**3 - 3*h**2 + 3*h**2 + 4 - 4 - 2*h**3 + (0*h + 3*h + 0*h)*(-1 + h**2 + 1)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) - (-4)\/(-1). Let l(b) = -b - 2. Let w be l(u). What is the derivative of 3 + w*d - 4*d + 2*d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11483041 and 4052838?\nAnswer: 68898246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y - 3. Let t(h) = 5*h**2 - 2. Let p be t(-1). Let o(f) = -46*f - 16. Calculate p*o(r) - 16*l(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 18. Let s be o(-6). Let k(t) = 2*t - 4*t + s*t**2 - 1 - 10*t**2 - t**3. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32649 divided by 10883?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1376 and -0.244632.\nAnswer: -336.613632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 64413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.29 - 4.29. Which is the fourth smallest value? (a) -4\/9 (b) -0.8 (c) 2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/630*10)\/((-2)\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873 is divided by 811.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*f**2 + 365*f**2 - 996*f**2)*(3 - 3 + 3).\nAnswer: -2577*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1320, 5205, 11694, 20793, 32508?\nAnswer: 46845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -410a1 (base 11) in base 2?\nAnswer: -1110101001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**3 + 39*h + 0*h**4 + 1\/30*h**6 - 27*h**2 + 0 + 0*h**5. Find the first derivative of o(b) wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.67 times -0.4\nAnswer: -0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 16) + 9 + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 - 152 - 230 = -40*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 18409060*c + 42361686260450.\nAnswer: 2*(c - 4602265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -4195.2156.\nAnswer: -419.52156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4719)\/(-735) + (-961)\/47089?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 863055732 and 4461.\nAnswer: 863060193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2205352 + -212?\nAnswer: -2210004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 5*l + 2. Calculate t(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*s + 45*s - 137*s)*(5 - 14 - 25).\nAnswer: 4182*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 + 13)*6\/4. Let u = 4.93 + 0.07. What is the nearest to 0.2 in n, 0.7, u?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*-2*4\/(80\/(-5)). Solve -q*z - 12 = 4*o, 5*z + o = -0*o - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 4 = 0. Suppose 3*u + 2*r = 7, -3*r = 4*u - i*r - 2. Solve j = 3*p - 14, 2*j + 2 = p - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 + 47650*f**4 + 113668935*f**3 + 680251670*f**2 - 113668940*f - 680299320 = 0. Calculate f.\nAnswer: -4762, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.15. Let l = 0.126837 - 0.026837. Which is the nearest to -2? (a) l (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4723582.\nAnswer: 2, 151, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:11 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, t: 2, p: 4}. What is prob of sequence ph?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.496 - 0.5. Let a = -4229.8 + 4229.8039882. Let v = a + h. Round v to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2411.2869 months?\nAnswer: 200.940575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -49. Let n = -59 + a. Let y = 24 + n. Solve 19 = -4*x + y*t - 1, -5*x + t = 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(4\/5)*y)\/y)\/y**(-2\/11))**(-1\/11))**(-46\/5) assuming y is positive.\nAnswer: y**(2484\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1685771 and 14416?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/5029000 and -87\/1222?\nAnswer: 65377000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + g**2. Let v be y(1). Suppose -3*w = 5*j - 2*j - v, -w = -5*j + 17. Put -25, -2\/5, w in decreasing order.\nAnswer: -2\/5, w, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -21. Let f = -65 - -39. Let k = 21 + f. What is the smallest value in 1, 3, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 52*w - 2. Let t(n) = -12*n - 3*n - 3*n - 8*n + 22*n. Calculate t(x(b)).\nAnswer: -208*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24))\/(4\/108) + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005881 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 33*n**2 - 37*n - 41. Let d be o(29). Let y be (4700\/(-75))\/((-1)\/d). What is y rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 2*u**4 + 2*u**3 - u**4 - 2*u - 7*u**4 in the form m + v*u**2 + p*u**4 + f*u**3 + g*u and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 28, 53, 114, 223, 392?\n\"Answer: 2*l**3 - 13*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 13. Calculate b(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 times -592\nAnswer: 378.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 54847060577794?\nAnswer: 54847060577795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 + 1143*i**4 - 130509*i**3 + 4101429*i**2 - 36090288*i + 95622228 = 0.\nAnswer: 6, 31, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 6*z**2 - 4*z + 4. Let i be x(6). Let m(q) = -6*q + 9. Let a be m(2). Calculate the least common multiple of 1 and 12\/i*(a + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/23, -2\/5, 35709.\nAnswer: -2\/5, -4\/23, 35709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46040576 and 256.\nAnswer: 46040576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43069839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*d = 0, -u = -4*u - 2*d. Factor 4\/5*i**4 - 2\/5*i + 2\/5*i**5 + 0 - 4\/5*i**2 + u*i**3.\nAnswer: 2*i*(i - 1)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 + 7*g + 7. Let j(o) = o**2 - o - 1. Let l(d) = 21*j(d) + 3*r(d). Let a(n) = -4*n. Give a(l(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + 2. Let c be s(0). Let l be (-6)\/(-2) - (-1 - 0). Suppose -l*h - f = 0, -2*h - f - 2 = -0*f. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24c (base 14) to base 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-2)\/3 - (-1444)\/57. Differentiate 111*d**3 - 61*d**3 + c - 51*d**3 with respect to d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2 + 6*b - 8 + 8).\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30788, -61563, -92328, -123077, -153804, -184503, -215168?\n\"Answer: s**3 - s**2 - 30779*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 12*t + 25. Let n be o(-8). Let j be 4 + (n - -2) - (-5)\/7. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 296*k**2 - 147*k**2 - 139*k**2.\nAnswer: 10*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**(-20)))**(2\/27))**(-1\/3) assuming o is positive.\nAnswer: o**(38\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:26 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3362561, 3362556, 3362551, 3362546?\nAnswer: 3362541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129444*m + 129710*m - 2128 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45215 by 5.\nAnswer: -9043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466095862 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 1610 + 376. Suppose -m - 999 = -8*u. Suppose f + 2*f = u. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + (-191 - -94) + -46\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11\/5, -0.3, 110\/3, 1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364218333 to the nearest integer?\nAnswer: 36935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3*z - 1. Let x be -5 - (1 + (-4)\/1). Let i be k(x). Suppose g = -2 + i. Are g and -2\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*42\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + q = 3*h - 133, -3*h + 2*q = -106. Calculate the greatest common factor of h and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 839 + 18769?\nAnswer: 194a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123775972652 - 123776875494.00063. Let g = -902833 - y. Let q = g - 9. What is q rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x*x**(-2\/5))\/x)\/x)*x)**(4\/33)*(x*x**(5\/9))\/x**9 assuming x is positive.\nAnswer: x**(-3481\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 + 11 - (0 + 12) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 3*z - 21, -34*s + 5*z = -36*s - 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 241619992.\nAnswer: 2174579928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*u - 18, 2*u + 3*b + 1 = u. What are the prime factors of (u - -21)\/((-7)\/(-189))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*r**3 + 871*r**2 + 11*r - 9948?\nAnswer: 1446*r + 1742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303 and 25085168.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515.59 + 14.\nAnswer: -1501.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 0, -5*g + 3417 - 277 = 2*c. Let p be g\/6 - (-2)\/3. Let h = 179 - p. Is h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.0711 - 1.0711. What is the third smallest value in -3, u, 0, -1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 29 = -179. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*k - 112, 4*k + 16 = -0*k. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 306*k**2 + 6039*k - 1603. What is d(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19578951.\nAnswer: 3, 7, 17, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 15 = 0. Suppose 3*r - 15 = -2*t, -z*t + 4*r = t. Suppose 4*f - 8 = 5*w, 5*w = -2*f + 1 + 3. Solve -m + 2*a + 1 = w, -4*m + t + 1 = a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -64. Suppose q - 5*q = -j. Suppose q*z - 27 = 57. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*h = s + 2362335, -s = 2*h - 787447. Let r = -6279667\/8 + s. Let a = 2473 - r. Find the common denominator of 29\/22 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13991 + 19703. Suppose -7*a = 9*a - p. List the prime factors of a.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 111. Let x = 0.389 - 0.089. What is the nearest to u in 3, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1815\/(-726)*46\/(-5). Suppose -2 - 2 = 2*c, -3*c - 2 = 4*k. What is the greatest common divisor of f and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2856 + 579.5856. Let z = -1066 + 461. Let l = g + z. Round l to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/11 at most -2049.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d - 4. Let g be p(3). Suppose 2*t + g = -z, 3*z - 12 - 14 = 4*t. Let i = 5 - 1. Calculate the remainder when i is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*r**2 - 111*r**2 - 112*r**2 + 10.\nAnswer: -r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xatzaaeatxaazxuzzaax. Give prob of picking 1 x, 1 a, 1 t, and 1 z.\nAnswer: 256\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 64. Let j be o(-23). Let g(u) = -2*u - 4. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440 = -87537*z + 87681*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bmbgsbgbbssbsbbb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (62 + -25 + -20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 + 16\/9*p**4 - 20\/9*p + 4\/9*p**5 + 16\/9*p**3 - 8\/9*p**2.\nAnswer: 4*(p - 1)*(p + 1)**3*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 535.131.\nAnswer: 534.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + -1*sqrt(110)))*-6 + sqrt(110)*-1*1)\/(sqrt(100)\/(sqrt(40)\/sqrt(4))*4*-3).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108407 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*r - 3*r - 23 = 0, -12 = 4*r. Let k(i) = -i**3 + 2*i**2 + 4*i - 1. Let d be k(3). What is the first derivative of -b**d + u + 0 - 3 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqffqffo. Give prob of sequence foqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9)\/t)\/t**(-2\/5))\/((t*t**(-1\/5))\/t**8))**(3\/29) assuming t is positive.\nAnswer: t**(-36\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:30 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605862 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 - 2*g - 1. Let l be v(-3). Let f(s) = -s - 3. Let h(j) = 2*j + 6. Let q(k) = -333*k + 5988. Let a be q(18). Determine a*h(y) + l*f(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 585758 * 0.5.\nAnswer: 292879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 499*p**2 + 91*p wrt p?\nAnswer: 998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 130*a**2 + 355*a - 230.\nAnswer: 5*(a - 23)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-11)*(-28)\/(-70))\/(4\/(-130))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}